Numeric.SpecFunctions:choose from math-functions-0.1.5.2

Time bar (total: 5.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze36.0ms (0.7%)

Memory
25.2MiB live, 25.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample762.0ms (14.2%)

Memory
7.3MiB live, 394.3MiB allocated
Samples
495.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 246.0ms
ival-add: 112.0ms (45.6% of total)
ival-mult: 65.0ms (26.4% of total)
ival-div: 59.0ms (24% of total)
ival-true: 6.0ms (2.4% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

explain90.0ms (1.7%)

Memory
-22.4MiB live, 61.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
400-2(4.4116414168153645e-305 2.3088128493159386e-19 -1.4678976492410525e-272)(/.f64 (*.f64 x (+.f64 y z)) z)
00-0-(+.f64 y z)
00-0-y
00-0-z
00-0-(*.f64 x (+.f64 y z))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x (+.f64 y z)) z)o/n270
(*.f64 x (+.f64 y z))overflow53
/.f64(/.f64 (*.f64 x (+.f64 y z)) z)u/n110
(*.f64 x (+.f64 y z))underflow11
Confusion
Predicted +Predicted -
+382
-0216
Precision
1.0
Recall
0.95
Confusion?
Predicted +Predicted MaybePredicted -
+3802
-00216
Precision?
1.0
Recall?
0.95
Freqs
test
numberfreq
0218
138
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 13.0ms (63.5% of total)
ival-mult: 4.0ms (19.5% of total)
ival-add: 3.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess234.0ms (4.4%)

Memory
-12.6MiB live, 113.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02772
110666
228164
393464
4266963
5501063
6576063
7586163
8595763
9608663
10622163
067
097
1197
2247
3257
4337
5357
6397
7467
8517
91607
105537
1123707
1237737
1339257
1440107
1541117
1642467
1744067
1860217
1970467
080416
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 y (/.f64 x z) x)
Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.5%
(/.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify117.0ms (2.2%)

Memory
22.9MiB live, 101.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y z)
cost-diff0
(*.f64 x (+.f64 y z))
cost-diff128
(/.f64 (*.f64 x (+.f64 y z)) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11918
22418
32518
43318
53518
63918
74618
85118
916018
1055318
11237018
12377318
13392518
14401018
15411118
16424618
17440618
18602118
19704618
0804117
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
z
Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 y (/.f64 x z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
x
(+.f64 y z)
y
z

localize47.0ms (0.9%)

Memory
-9.6MiB live, 29.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y z)
accuracy0.01171875
(*.f64 x (+.f64 y z))
accuracy9.255815405106809
(/.f64 (*.f64 x (+.f64 y z)) z)
Samples
43.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (36.2% of total)
ival-mult: 2.0ms (36.2% of total)
ival-add: 1.0ms (18.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
21.4MiB live, 21.3MiB allocated
Counts
3 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())
#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())
#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt y (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 (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x z) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x z) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x z) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ z y))) (taylor inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ z y))) (taylor inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ z y))) (taylor inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ z y)) 1))) (taylor -inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ z y)) 1))) (taylor -inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ z y)) 1))) (taylor -inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify248.0ms (4.6%)

Memory
0.2MiB live, 120.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050456
1171456
2482456
31334456
42618456
53113456
63468456
73906456
84096456
94139456
106034456
116810456
127034456
137432456
147444456
157453456
08121426
Stop Event
iter limit
node limit
Counts
96 → 87
Calls
Call 1
Inputs
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
y
(+ y z)
(+ y z)
(+ y z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
z
(+ y z)
(+ y z)
(+ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
Outputs
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(* x y)
(*.f64 y x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
y
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(* x z)
(*.f64 z x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
z
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(* x z)
(*.f64 z x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
z
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 x z) y x)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 x z) y x)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 x z) y x)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 z y) x)
(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 z y) x)
(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 z y) x)
y
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 x z) y x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 x z) y x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 x z) y x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 z y) x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 z y) x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 z y) x)
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)

rewrite220.0ms (4.1%)

Memory
15.1MiB live, 321.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
14015
225615
3232015
0815615
Stop Event
iter limit
node limit
iter limit
Counts
3 → 379
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
(+.f64 y z)
Outputs
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eval78.0ms (1.5%)

Memory
-6.0MiB live, 160.0MiB allocated
Compiler

Compiled 8 989 to 1 302 computations (85.5% saved)

prune16.0ms (0.3%)

Memory
-38.7MiB live, 44.7MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New4597466
Fresh000
Picked011
Done000
Total4598467
Accuracy
100.0%
Counts
467 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.5%
(/.f64 (*.f64 x (+.f64 y z)) z)
41.0%
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
46.8%
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
85.4%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
83.0%
(*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 z y))
95.5%
(*.f64 (/.f64 (+.f64 z y) z) x)
85.5%
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y)))
95.4%
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
Compiler

Compiled 119 to 108 computations (9.2% saved)

simplify185.0ms (3.4%)

Memory
7.3MiB live, 201.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) (+.f64 z y))
cost-diff0
(/.f64 #s(literal -1 binary64) z)
cost-diff576
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y)))
cost-diff0
(/.f64 x z)
cost-diff0
(fma.f64 (/.f64 x z) y x)
cost-diff0
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
cost-diff0
(*.f64 z x)
cost-diff0
#s(approx (* x (+ y z)) (*.f64 z x))
cost-diff0
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (* x (+ y z)) (*.f64 y x))
cost-diff0
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
cost-diff0
(+.f64 z y)
cost-diff0
(/.f64 (+.f64 z y) z)
cost-diff128
(*.f64 (/.f64 (+.f64 z y) z) x)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023123
037121
169121
2136121
3371117
4871117
51517117
63368117
74312117
85309117
95613117
105992117
116172117
127609117
08005117
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 z y) z) x)
(/.f64 (+.f64 z y) z)
(+.f64 z y)
z
y
x
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
y
x
z
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
(*.f64 z x)
z
x
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
(fma.f64 (/.f64 x z) y x)
(/.f64 x z)
x
z
y
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y)))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(*.f64 (neg.f64 x) (+.f64 z y))
(neg.f64 x)
x
(+.f64 z y)
y
Outputs
(*.f64 (/.f64 (+.f64 z y) z) x)
(fma.f64 (/.f64 y z) x x)
(/.f64 (+.f64 z y) z)
(/.f64 (+.f64 y z) z)
(+.f64 z y)
(+.f64 y z)
z
y
x
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z)
#s(approx (* x (+ y z)) (*.f64 y x))
#s(approx (* x (+ y z)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
z
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 x z)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
#s(approx (* x (+ y z)) (*.f64 x z))
(*.f64 z x)
(*.f64 x z)
z
x
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(fma.f64 (/.f64 x z) y x)
(fma.f64 (/.f64 y z) x x)
(/.f64 x z)
x
z
y
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y)))
(fma.f64 (/.f64 y z) x x)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(*.f64 (neg.f64 x) (+.f64 z y))
(*.f64 (neg.f64 x) (+.f64 y z))
(neg.f64 x)
x
(+.f64 z y)
(+.f64 y z)
y

localize52.0ms (1%)

Memory
36.5MiB live, 115.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 z y)
accuracy0
(neg.f64 x)
accuracy0.01171875
(*.f64 (neg.f64 x) (+.f64 z y))
accuracy9.302690405106809
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y)))
accuracy0
(/.f64 x z)
accuracy0
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
accuracy2.9385196607836717
(fma.f64 (/.f64 x z) y x)
accuracy0
(*.f64 z x)
accuracy9.255815405106809
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy28.439494311897786
#s(approx (* x (+ y z)) (*.f64 z x))
accuracy0
(*.f64 y x)
accuracy9.255815405106809
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy31.018927759318576
#s(approx (* x (+ y z)) (*.f64 y x))
accuracy0
(+.f64 z y)
accuracy0.01171875
(/.f64 (+.f64 z y) z)
accuracy2.8891166384786158
(*.f64 (/.f64 (+.f64 z y) z) x)
Samples
39.0ms256×0valid
Compiler

Compiled 199 to 41 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 10.0ms (43.9% of total)
ival-div: 7.0ms (30.8% of total)
ival-add: 4.0ms (17.6% of total)
ival-neg: 1.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.5%)

Memory
-23.2MiB live, 58.6MiB allocated
Counts
16 → 468
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 z y) z) (patch (/.f64 (+.f64 z y) z) #<representation binary64>) () ())
#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())
#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())
#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 (+.f64 z y) z) (patch (/.f64 (+.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ y z) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 z y) z) (patch (/.f64 (+.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ y z) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 z y) z) (patch (/.f64 (+.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ y z) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 z y) z) (patch (/.f64 (+.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf z) (#s(alt (/.f64 (+.f64 z y) z) (patch (/.f64 (+.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y z)) (taylor inf z) (#s(alt (/.f64 (+.f64 z y) z) (patch (/.f64 (+.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y z)) (taylor inf z) (#s(alt (/.f64 (+.f64 z y) z) (patch (/.f64 (+.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y z)) (taylor inf z) (#s(alt (/.f64 (+.f64 z y) z) (patch (/.f64 (+.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ())
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#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y z))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y z))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y z))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y z))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y 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) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<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
3.0ms
z
@0
((* (/ (+ z y) z) x) (/ (+ z y) z) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (neg x))
2.0ms
x
@-inf
((* (/ (+ z y) z) x) (/ (+ z y) z) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (neg x))
2.0ms
x
@inf
((* (/ (+ z y) z) x) (/ (+ z y) z) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (neg x))
2.0ms
z
@-inf
((* (/ (+ z y) z) x) (/ (+ z y) z) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (neg x))
2.0ms
x
@0
((* (/ (+ z y) z) x) (/ (+ z y) z) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (neg x))

simplify180.0ms (3.4%)

Memory
-10.6MiB live, 188.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0652346
12182346
25802346
315742346
429992346
540992346
647542346
755352346
860932346
962032346
1073972346
081082166
Stop Event
iter limit
node limit
Counts
468 → 444
Calls
Call 1
Inputs
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ y z)
(/ (+ y z) z)
(/ (+ y z) z)
(/ (+ y z) z)
y
(+ y z)
(+ y z)
(+ y z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* x z)
(* x z)
(* x z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1 (* x z)))
(+ (* -1 (* x y)) (* -1 (* x z)))
(+ (* -1 (* x y)) (* -1 (* x z)))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* x z)
(* x z)
(* x z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -1 (* x z))
(* z (+ (* -1 x) (* -1 (/ (* x y) z))))
(* z (+ (* -1 x) (* -1 (/ (* x y) z))))
(* z (+ (* -1 x) (* -1 (/ (* x y) z))))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* x z)
(* x z)
(* x z)
(* x z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -1 (* x z))
(* -1 (* z (+ x (/ (* x y) z))))
(* -1 (* z (+ x (/ (* x y) z))))
(* -1 (* z (+ x (/ (* x y) z))))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
z
(+ y z)
(+ y z)
(+ y z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* -1 (* x z))
(+ (* -1 (* x y)) (* -1 (* x z)))
(+ (* -1 (* x y)) (* -1 (* x z)))
(+ (* -1 (* x y)) (* -1 (* x z)))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ y z)
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* -1 (* x y))
(* y (+ (* -1 x) (* -1 (/ (* x z) y))))
(* y (+ (* -1 x) (* -1 (/ (* x z) y))))
(* y (+ (* -1 x) (* -1 (/ (* x z) y))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ y z)
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* x y))
(* -1 (* y (+ x (/ (* x z) y))))
(* -1 (* y (+ x (/ (* x z) y))))
(* -1 (* y (+ x (/ (* x z) y))))
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(* x z)
(* x z)
(* x z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* -1 (* x (+ y z)))
(* -1 (* x (+ y z)))
(* -1 (* x (+ y z)))
(* -1 (* x (+ y z)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(* x z)
(* x z)
(* x z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* -1 (* x (+ y z)))
(* -1 (* x (+ y z)))
(* -1 (* x (+ y z)))
(* -1 (* x (+ y z)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(* x z)
(* x z)
(* x z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* -1 (* x (+ y z)))
(* -1 (* x (+ y z)))
(* -1 (* x (+ y z)))
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(* -1 x)
(* -1 x)
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Outputs
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ y z)
(/.f64 y z)
(/ (+ y z) z)
(/.f64 (+.f64 z y) z)
(/ (+ y z) z)
(/.f64 (+.f64 z y) z)
(/ (+ y z) z)
(/.f64 (+.f64 z y) z)
y
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(* x y)
(*.f64 y x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(* x y)
(*.f64 y x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(+ (* -1 (* x y)) (* -1 (* x z)))
(*.f64 (-.f64 (neg.f64 z) y) x)
(+ (* -1 (* x y)) (* -1 (* x z)))
(*.f64 (-.f64 (neg.f64 z) y) x)
(+ (* -1 (* x y)) (* -1 (* x z)))
(*.f64 (-.f64 (neg.f64 z) y) x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
1
#s(literal 1 binary64)
(+ 1 (/ y z))
(/.f64 (+.f64 z y) z)
(+ 1 (/ y z))
(/.f64 (+.f64 z y) z)
(+ 1 (/ y z))
(/.f64 (+.f64 z y) z)
z
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(* x z)
(*.f64 z x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(* x z)
(*.f64 z x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (* -1 (/ (* x y) z))))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* z (+ (* -1 x) (* -1 (/ (* x y) z))))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* z (+ (* -1 x) (* -1 (/ (* x y) z))))
(*.f64 (-.f64 (neg.f64 z) y) x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
1
#s(literal 1 binary64)
(+ 1 (/ y z))
(/.f64 (+.f64 z y) z)
(+ 1 (/ y z))
(/.f64 (+.f64 z y) z)
(+ 1 (/ y z))
(/.f64 (+.f64 z y) z)
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
x
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(fma.f64 (/.f64 x z) y x)
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(fma.f64 (/.f64 x z) y x)
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(fma.f64 (/.f64 x z) y x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* -1 (* z (+ x (/ (* x y) z))))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* -1 (* z (+ x (/ (* x y) z))))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* -1 (* z (+ x (/ (* x y) z))))
(*.f64 (-.f64 (neg.f64 z) y) x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
1
#s(literal 1 binary64)
(+ 1 (/ y z))
(/.f64 (+.f64 z y) z)
(+ 1 (/ y z))
(/.f64 (+.f64 z y) z)
(+ 1 (/ y z))
(/.f64 (+.f64 z y) z)
z
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(* x z)
(*.f64 z x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(* x z)
(*.f64 z x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
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(fma.f64 (/.f64 x z) y x)
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(fma.f64 (/.f64 x z) y x)
x
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(fma.f64 (/.f64 x z) y x)
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(fma.f64 (/.f64 x z) y x)
x
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(fma.f64 (/.f64 x z) y x)
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(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(+ (* -1 (* x y)) (* -1 (* x z)))
(*.f64 (-.f64 (neg.f64 z) y) x)
(+ (* -1 (* x y)) (* -1 (* x z)))
(*.f64 (-.f64 (neg.f64 z) y) x)
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(*.f64 (-.f64 (neg.f64 z) y) x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
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(fma.f64 (/.f64 x z) y x)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 x z) y x)
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(fma.f64 (/.f64 x z) y x)
(/ y z)
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(/.f64 (+.f64 z y) z)
(* y (+ (/ 1 y) (/ 1 z)))
(/.f64 (+.f64 z y) z)
(* y (+ (/ 1 y) (/ 1 z)))
(/.f64 (+.f64 z y) z)
y
(* y (+ 1 (/ z y)))
(+.f64 z y)
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(+.f64 z y)
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(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 x z) y x)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 x z) y x)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 x z) y x)
(* x y)
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(*.f64 (+.f64 z y) x)
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(* x y)
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(/ (* x y) z)
(/.f64 (*.f64 y x) z)
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(fma.f64 (/.f64 x z) y x)
(* y (+ (/ x y) (/ x z)))
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(fma.f64 (/.f64 x z) y x)
(* x y)
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(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 z y) x)
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rewrite136.0ms (2.5%)

Memory
-4.4MiB live, 235.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023105
037102
1134102
2841102
08120102
Stop Event
iter limit
node limit
iter limit
Counts
16 → 914
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 z y) z) x)
(/.f64 (+.f64 z y) z)
(+.f64 z y)
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
(*.f64 z x)
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
(fma.f64 (/.f64 x z) y x)
(/.f64 x z)
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y)))
(/.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 x) (+.f64 z y))
(neg.f64 x)
Outputs
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eval196.0ms (3.7%)

Memory
46.2MiB live, 428.3MiB allocated
Compiler

Compiled 21 611 to 2 259 computations (89.5% saved)

prune38.0ms (0.7%)

Memory
0.6MiB live, 124.7MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1 45961 465
Fresh202
Picked235
Done011
Total1 463101 473
Accuracy
100.0%
Counts
1 473 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.4%
(/.f64 (+.f64 y z) (/.f64 z x))
85.5%
(/.f64 (*.f64 x (+.f64 y z)) z)
46.8%
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
46.8%
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))))
95.5%
(*.f64 (/.f64 (+.f64 z y) z) x)
46.8%
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))))
44.3%
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
52.6%
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
95.5%
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
95.4%
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
Compiler

Compiled 109 to 106 computations (2.8% saved)

simplify161.0ms (3%)

Memory
-1.4MiB live, 155.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z x)
cost-diff0
(+.f64 y z)
cost-diff512
(/.f64 (+.f64 y z) (/.f64 z x))
cost-diff0
#s(approx (* x (+ y z)) (*.f64 x y))
cost-diff0
(neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))
cost-diff0
(/.f64 #s(literal -1 binary64) z)
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))))
cost-diff0
(/.f64 y z)
cost-diff0
#s(approx (/ (+ z y) z) (/.f64 y z))
cost-diff0
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
cost-diff0
#s(approx (/ (+ z y) z) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
cost-diff0
(/.f64 y z)
cost-diff0
(fma.f64 (/.f64 y z) x x)
cost-diff0
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
025129
037128
166127
290125
3127125
4198125
5297125
6557124
71519124
83009124
94066124
104753124
115156124
125202124
135216124
146757124
08374124
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(fma.f64 (/.f64 y z) x x)
(/.f64 y z)
y
z
x
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
#s(approx (/ (+ z y) z) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
#s(approx (/ (+ z y) z) (/.f64 y z))
(/.f64 y z)
y
z
x
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))
#s(approx (* x (+ y z)) (*.f64 x y))
(*.f64 x y)
x
y
(/.f64 (+.f64 y z) (/.f64 z x))
(+.f64 y z)
y
z
(/.f64 z x)
x
Outputs
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
#s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x))
(fma.f64 (/.f64 y z) x x)
(fma.f64 x (/.f64 y z) x)
(/.f64 y z)
y
z
x
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
#s(approx (/ (+ z y) z) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
#s(approx (/ (+ z y) z) (/.f64 y z))
(/.f64 y z)
y
z
x
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))))
(/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))
#s(approx (* x (+ y z)) (*.f64 x y))
(*.f64 x y)
x
y
(/.f64 (+.f64 y z) (/.f64 z x))
(fma.f64 x (/.f64 y z) x)
(+.f64 y z)
(+.f64 z y)
y
z
(/.f64 z x)
x

localize61.0ms (1.1%)

Memory
-17.6MiB live, 143.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 z x)
accuracy0
(+.f64 y z)
accuracy10.598414214881524
(/.f64 (+.f64 y z) (/.f64 z x))
accuracy0
(*.f64 x y)
accuracy0
(neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))
accuracy9.302690405106809
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))))
accuracy31.018927759318576
#s(approx (* x (+ y z)) (*.f64 x y))
accuracy0
(/.f64 y z)
accuracy2.8891166384786158
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
accuracy33.103270076085764
#s(approx (/ (+ z y) z) (/.f64 y z))
accuracy2.8891166384786158
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
accuracy30.524755114431603
#s(approx (/ (+ z y) z) #s(literal 1 binary64))
accuracy0
(/.f64 y z)
accuracy0
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
accuracy2.895307898247058
(fma.f64 (/.f64 y z) x x)
Samples
45.0ms256×0valid
Compiler

Compiled 188 to 42 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 15.0ms (51.9% of total)
ival-mult: 8.0ms (27.7% of total)
ival-add: 4.0ms (13.8% of total)
ival-neg: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.5%)

Memory
23.0MiB live, 61.8MiB allocated
Counts
15 → 444
Calls
Call 1
Inputs
#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ z y) z) #s(literal 1 binary64)) (patch #s(approx (/ (+ z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ z y) z) (/.f64 y z)) (patch #s(approx (/ (+ z y) z) (/.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())
#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ())
#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
Outputs
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#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<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>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ -1 z) (neg (* x (+ y z)))) (/ -1 z) (neg (* x (+ y z))) (* x (+ y z)) (/ (+ y z) (/ z x)) (+ y z) (/ z x) (* x y))
4.0ms
y
@-inf
((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ -1 z) (neg (* x (+ y z)))) (/ -1 z) (neg (* x (+ y z))) (* x (+ y z)) (/ (+ y z) (/ z x)) (+ y z) (/ z x) (* x y))
2.0ms
x
@-inf
((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ -1 z) (neg (* x (+ y z)))) (/ -1 z) (neg (* x (+ y z))) (* x (+ y z)) (/ (+ y z) (/ z x)) (+ y z) (/ z x) (* x y))
1.0ms
x
@inf
((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ -1 z) (neg (* x (+ y z)))) (/ -1 z) (neg (* x (+ y z))) (* x (+ y z)) (/ (+ y z) (/ z x)) (+ y z) (/ z x) (* x y))
1.0ms
z
@inf
((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ -1 z) (neg (* x (+ y z)))) (/ -1 z) (neg (* x (+ y z))) (* x (+ y z)) (/ (+ y z) (/ z x)) (+ y z) (/ z x) (* x y))

simplify187.0ms (3.5%)

Memory
-15.5MiB live, 274.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0752316
12452256
26212256
316952256
433682256
546252256
654292256
759542256
861562256
962922256
1078982256
080522076
Stop Event
iter limit
node limit
Counts
444 → 420
Calls
Call 1
Inputs
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ y z)
(/ (+ y z) z)
(/ (+ y z) z)
(/ (+ y z) z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ y z)
(/ (+ y z) z)
(/ (+ y z) z)
(/ (+ y z) z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -1 (* x y))
(- (* -1 (* x z)) (* x y))
(- (* -1 (* x z)) (* x y))
(- (* -1 (* x z)) (* x y))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
y
(+ y z)
(+ y z)
(+ y z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -1 (* x z))
(* z (- (* -1 (/ (* x y) z)) x))
(* z (- (* -1 (/ (* x y) z)) x))
(* z (- (* -1 (/ (* x y) z)) x))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(/ z x)
(/ z x)
(/ z x)
(/ z x)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -1 (* x z))
(* -1 (* z (- (/ (* x y) z) (* -1 x))))
(* -1 (* z (- (/ (* x y) z) (* -1 x))))
(* -1 (* z (- (/ (* x y) z) (* -1 x))))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(/ z x)
(/ z x)
(/ z x)
(/ z x)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* -1 (* x z))
(- (* -1 (* x y)) (* x z))
(- (* -1 (* x y)) (* x z))
(- (* -1 (* x y)) (* x z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
z
(+ y z)
(+ y z)
(+ y z)
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ y z)
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ y z)
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* -1 (* x y))
(* y (- (* -1 (/ (* x z) y)) x))
(* y (- (* -1 (/ (* x z) y)) x))
(* y (- (* -1 (/ (* x z) y)) x))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ y z)
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ y z)
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* x y))
(* -1 (* y (- (/ (* x z) y) (* -1 x))))
(* -1 (* y (- (/ (* x z) y) (* -1 x))))
(* -1 (* y (- (/ (* x z) y) (* -1 x))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* -1 (* x (+ y z)))
(* -1 (* x (+ y z)))
(* -1 (* x (+ y z)))
(* -1 (* x (+ y z)))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* -1 (* x (+ y z)))
(* -1 (* x (+ y z)))
(* -1 (* x (+ y z)))
(* -1 (* x (+ y z)))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* -1 (* x (+ y z)))
(* -1 (* x (+ y z)))
(* -1 (* x (+ y z)))
(* -1 (* x (+ y z)))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ y z)
(/.f64 y z)
(/ (+ y z) z)
(/.f64 (+.f64 z y) z)
(/ (+ y z) z)
(/.f64 (+.f64 z y) z)
(/ (+ y z) z)
(/.f64 (+.f64 z y) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ y z)
(/.f64 y z)
(/ (+ y z) z)
(/.f64 (+.f64 z y) z)
(/ (+ y z) z)
(/.f64 (+.f64 z y) z)
(/ (+ y z) z)
(/.f64 (+.f64 z y) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
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(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(* -1 (* x (+ y z)))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* -1 (* x (+ y z)))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* -1 (* x (+ y z)))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* -1 (* x (+ y z)))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 y z) x x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 y z) x x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 y z) x x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(* -1 (* x (+ y z)))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* -1 (* x (+ y z)))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* -1 (* x (+ y z)))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* -1 (* x (+ y z)))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite145.0ms (2.7%)

Memory
-0.9MiB live, 232.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025111
037111
1137110
2825108
37754108
08182108
Stop Event
iter limit
node limit
iter limit
Counts
15 → 602
Calls
Call 1
Inputs
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(fma.f64 (/.f64 y z) x x)
(/.f64 y z)
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
#s(approx (/ (+ z y) z) #s(literal 1 binary64))
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
#s(approx (/ (+ z y) z) (/.f64 y z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))))
(/.f64 #s(literal -1 binary64) z)
(neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))
#s(approx (* x (+ y z)) (*.f64 x y))
(/.f64 (+.f64 y z) (/.f64 z x))
(+.f64 y z)
(/.f64 z x)
(*.f64 x y)
Outputs
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eval136.0ms (2.5%)

Memory
12.1MiB live, 338.4MiB allocated
Compiler

Compiled 14 255 to 1 609 computations (88.7% saved)

prune27.0ms (0.5%)

Memory
-29.9MiB live, 89.0MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New1 07601 076
Fresh011
Picked055
Done044
Total1 076101 086
Accuracy
100.0%
Counts
1 086 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.4%
(/.f64 (+.f64 y z) (/.f64 z x))
85.5%
(/.f64 (*.f64 x (+.f64 y z)) z)
46.8%
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
46.8%
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))))
95.5%
(*.f64 (/.f64 (+.f64 z y) z) x)
46.8%
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))))
44.3%
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
52.6%
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
95.5%
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
95.4%
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
Compiler

Compiled 68 to 65 computations (4.4% saved)

simplify5.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (* x (+ y z)) (*.f64 x y))
cost-diff0
(/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01040
01340
12540
23038
33438
44438
54438
64538
74738
84738
94938
105338
115338
05338
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))))
#s(literal 1 binary64)
(/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))
z
#s(approx (* x (+ y z)) (*.f64 x y))
(*.f64 x y)
x
y
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
#s(literal 1 binary64)
(/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))
(/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))
z
#s(approx (* x (+ y z)) (*.f64 x y))
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y

localize24.0ms (0.4%)

Memory
17.3MiB live, 56.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x y)
accuracy0.19140625
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))))
accuracy9.563996116419755
(/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))
accuracy31.018927759318576
#s(approx (* x (+ y z)) (*.f64 x y))
Samples
18.0ms256×0valid
Compiler

Compiled 55 to 19 computations (65.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (39.1% of total)
ival-div: 3.0ms (29.3% of total)
ival-add: 2.0ms (19.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-14.2MiB live, 29.4MiB allocated
Counts
4 → 132
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())
#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
Outputs
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#s(alt (/ z (* x (+ y z))) (taylor 0 x) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ z (* x (+ y z))) (taylor 0 x) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ z (* x (+ y z))) (taylor 0 x) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ z (* x (+ y z))) (taylor 0 x) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.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) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ z (* x (+ y z))) (taylor inf x) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ z (* x (+ y z))) (taylor inf x) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ z (* x (+ y z))) (taylor inf x) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ z (* x (+ y z))) (taylor inf x) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ z (* x (+ y z))) (taylor -inf x) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ z (* x (+ y z))) (taylor -inf x) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ z (* x (+ y z))) (taylor -inf x) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ z (* x (+ y z))) (taylor -inf x) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify124.0ms (2.3%)

Memory
5.1MiB live, 199.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156981
1494960
21446909
34661907
08398886
Stop Event
iter limit
node limit
Counts
132 → 129
Calls
Call 1
Inputs
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ z (* x y))
(* z (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y))))
(* z (+ (* z (- (/ z (* x (pow y 3))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(* z (+ (* z (- (* z (+ (* -1 (/ z (* x (pow y 4)))) (/ 1 (* x (pow y 3))))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ 1 x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(- (+ (/ 1 x) (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z)))
(- (+ (* -1 (/ (pow y 3) (* x (pow z 3)))) (/ 1 x)) (+ (* -1 (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z))))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ 1 x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (pow y 2) (* x z))) (* -1 (/ y x))) z)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) (* x z))) (* -1 (/ (pow y 2) x))) z)) (* -1 (/ y x))) z)) (/ 1 x))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ 1 x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(+ (* y (- (/ y (* x (pow z 2))) (/ 1 (* x z)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (* x (pow z 3)))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z)))) (/ 1 x))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ z (* x y))
(/ (+ (* -1 (/ (pow z 2) (* x y))) (/ z x)) y)
(/ (- (+ (/ z x) (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y))) y)
(/ (- (+ (* -1 (/ (pow z 4) (* x (pow y 3)))) (/ z x)) (+ (* -1 (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y)))) y)
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ z (* x y))
(* -1 (/ (+ (* -1 (/ z x)) (/ (pow z 2) (* x y))) y))
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (/ (pow z 3) (* x y)) (/ (pow z 2) x)) y))) y))
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x y)) (/ (pow z 3) x)) y)) (/ (pow z 2) x)) y))) y))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ z (* x (+ y z)))
(/ z (* x (+ y z)))
(/ z (* x (+ y z)))
(/ z (* x (+ y z)))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ z (* x (+ y z)))
(/ z (* x (+ y z)))
(/ z (* x (+ y z)))
(/ z (* x (+ y z)))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ z (* x (+ y z)))
(/ z (* x (+ y z)))
(/ z (* x (+ y z)))
(/ z (* x (+ y z)))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* x y) (* x z)) z)
(*.f64 (/.f64 (+.f64 z y) z) x)
(/ (+ (* x y) (* x z)) z)
(*.f64 (/.f64 (+.f64 z y) z) x)
(/ (+ (* x y) (* x z)) z)
(*.f64 (/.f64 (+.f64 z y) z) x)
(/ z (* x y))
(/.f64 z (*.f64 y x))
(* z (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y))))
(/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) (neg.f64 y))
(* z (+ (* z (- (/ z (* x (pow y 3))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(fma.f64 z (*.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) z) (/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) (neg.f64 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (* x (pow y 4)))) (/ 1 (* x (pow y 3))))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 z (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) z (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) x))) z (/.f64 #s(literal 1 binary64) (*.f64 y x))) z)
(* x y)
(*.f64 y x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 z x)))
(- (+ (/ 1 x) (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z)))
(+.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) z) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -1 (/ (pow y 3) (* x (pow z 3)))) (/ 1 x)) (+ (* -1 (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z))))
(-.f64 (+.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) z) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x))
(* x z)
(*.f64 z x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 z x)))
(+ (* -1 (/ (- (* -1 (/ (pow y 2) (* x z))) (* -1 (/ y x))) z)) (/ 1 x))
(+.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) z) (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) (* x z))) (* -1 (/ (pow y 2) x))) z)) (* -1 (/ y x))) z)) (/ 1 x))
(-.f64 (+.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) z) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x))
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 z x)))
(+ (* y (- (/ y (* x (pow z 2))) (/ 1 (* x z)))) (/ 1 x))
(+.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) z) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1 (/ y (* x (pow z 3)))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z)))) (/ 1 x))
(-.f64 (+.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) z) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x))
(* x z)
(*.f64 z x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 y z) x x)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 y z) x x)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 y z) x x)
(/ z (* x y))
(/.f64 z (*.f64 y x))
(/ (+ (* -1 (/ (pow z 2) (* x y))) (/ z x)) y)
(/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) (neg.f64 y))
(/ (- (+ (/ z x) (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y))) y)
(/.f64 (fma.f64 z (/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) y) (/.f64 z x)) y)
(/ (- (+ (* -1 (/ (pow z 4) (* x (pow y 3)))) (/ z x)) (+ (* -1 (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y)))) y)
(/.f64 (fma.f64 z (/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) y) (-.f64 (/.f64 z x) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))))) y)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 z y) x)
(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 z y) x)
(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 z y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 y z) x x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 y z) x x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 y z) x x)
(/ z (* x y))
(/.f64 z (*.f64 y x))
(* -1 (/ (+ (* -1 (/ z x)) (/ (pow z 2) (* x y))) y))
(/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (/ (pow z 3) (* x y)) (/ (pow z 2) x)) y))) y))
(/.f64 (fma.f64 z (/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) y) (/.f64 z x)) y)
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x y)) (/ (pow z 3) x)) y)) (/ (pow z 2) x)) y))) y))
(/.f64 (fma.f64 z (/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) y) (-.f64 (/.f64 z x) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))))) y)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 z y) x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 z y) x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 z y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x (+ y z)) z)
(*.f64 (/.f64 (+.f64 z y) z) x)
(/ (* x (+ y z)) z)
(*.f64 (/.f64 (+.f64 z y) z) x)
(/ (* x (+ y z)) z)
(*.f64 (/.f64 (+.f64 z y) z) x)
(/ (* x (+ y z)) z)
(*.f64 (/.f64 (+.f64 z y) z) x)
(/ z (* x (+ y z)))
(/.f64 (/.f64 z (+.f64 z y)) x)
(/ z (* x (+ y z)))
(/.f64 (/.f64 z (+.f64 z y)) x)
(/ z (* x (+ y z)))
(/.f64 (/.f64 z (+.f64 z y)) x)
(/ z (* x (+ y z)))
(/.f64 (/.f64 z (+.f64 z y)) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x (+ y z)) z)
(*.f64 (/.f64 (+.f64 z y) z) x)
(/ (* x (+ y z)) z)
(*.f64 (/.f64 (+.f64 z y) z) x)
(/ (* x (+ y z)) z)
(*.f64 (/.f64 (+.f64 z y) z) x)
(/ (* x (+ y z)) z)
(*.f64 (/.f64 (+.f64 z y) z) x)
(/ z (* x (+ y z)))
(/.f64 (/.f64 z (+.f64 z y)) x)
(/ z (* x (+ y z)))
(/.f64 (/.f64 z (+.f64 z y)) x)
(/ z (* x (+ y z)))
(/.f64 (/.f64 z (+.f64 z y)) x)
(/ z (* x (+ y z)))
(/.f64 (/.f64 z (+.f64 z y)) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x (+ y z)) z)
(*.f64 (/.f64 (+.f64 z y) z) x)
(/ (* x (+ y z)) z)
(*.f64 (/.f64 (+.f64 z y) z) x)
(/ (* x (+ y z)) z)
(*.f64 (/.f64 (+.f64 z y) z) x)
(/ (* x (+ y z)) z)
(*.f64 (/.f64 (+.f64 z y) z) x)
(/ z (* x (+ y z)))
(/.f64 (/.f64 z (+.f64 z y)) x)
(/ z (* x (+ y z)))
(/.f64 (/.f64 z (+.f64 z y)) x)
(/ z (* x (+ y z)))
(/.f64 (/.f64 z (+.f64 z y)) x)
(/ z (* x (+ y z)))
(/.f64 (/.f64 z (+.f64 z y)) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite145.0ms (2.7%)

Memory
-0.2MiB live, 242.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
01336
15334
227734
3200234
0845834
Stop Event
iter limit
node limit
iter limit
Counts
4 → 131
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))))
(/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))
#s(approx (* x (+ y z)) (*.f64 x y))
(*.f64 x y)
Outputs
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eval29.0ms (0.5%)

Memory
-14.7MiB live, 69.2MiB allocated
Compiler

Compiled 3 308 to 482 computations (85.4% saved)

prune10.0ms (0.2%)

Memory
-3.4MiB live, 34.9MiB allocated
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New2600260
Fresh000
Picked011
Done099
Total26010270
Accuracy
100.0%
Counts
270 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.4%
(/.f64 (+.f64 y z) (/.f64 z x))
85.5%
(/.f64 (*.f64 x (+.f64 y z)) z)
46.8%
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
46.8%
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))))
95.5%
(*.f64 (/.f64 (+.f64 z y) z) x)
46.8%
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))))
44.3%
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
52.6%
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
95.5%
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
95.4%
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
Compiler

Compiled 172 to 110 computations (36% saved)

regimes21.0ms (0.4%)

Memory
4.4MiB live, 42.7MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(*.f64 (/.f64 (+.f64 z y) z) x)
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))))
(/.f64 (+.f64 y z) (/.f64 z x))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 z y))
Outputs
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
Calls

4 calls:

6.0ms
y
5.0ms
z
5.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
5.0ms
x
Results
AccuracySegmentsBranch
97.9%2x
95.5%1y
97.3%2z
97.7%2(/.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes13.0ms (0.2%)

Memory
-17.2MiB live, 24.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
Outputs
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
Calls

4 calls:

5.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
Results
AccuracySegmentsBranch
95.4%1y
95.4%1z
95.4%1(/.f64 (*.f64 x (+.f64 y z)) z)
95.4%1x
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes9.0ms (0.2%)

Memory
26.8MiB live, 26.8MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
Outputs
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
Calls

4 calls:

2.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
Results
AccuracySegmentsBranch
55.8%2x
77.1%3y
74.8%2(/.f64 (*.f64 x (+.f64 y z)) z)
75.9%3z
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.1%)

Memory
-23.7MiB live, 15.7MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
Outputs
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
Calls

3 calls:

2.0ms
z
2.0ms
y
1.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
Results
AccuracySegmentsBranch
73.4%3z
72.9%2(/.f64 (*.f64 x (+.f64 y z)) z)
72.7%3y
Compiler

Compiled 9 to 12 computations (-33.3% saved)

regimes5.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
Outputs
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
Calls

4 calls:

1.0ms
x
1.0ms
y
1.0ms
z
1.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
Results
AccuracySegmentsBranch
52.6%1x
52.6%1y
52.6%1z
52.6%1(/.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch11.0ms (0.2%)

Memory
-21.0MiB live, 18.3MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
9.0ms
1.589649818662902e+76
1.4820621197552571e+81
Samples
5.0ms112×0valid
Compiler

Compiled 108 to 110 computations (-1.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (44.2% of total)
ival-add: 1.0ms (44.2% of total)
ival-mult: 1.0ms (44.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.5%)

Memory
21.1MiB live, 60.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
6.570121021587888e-9
10.826521978409888
13.0ms
-2676845560.7146063
-0.00013337283178967737
Samples
13.0ms304×0valid
Compiler

Compiled 200 to 278 computations (-39% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (32% of total)
ival-add: 2.0ms (32% of total)
ival-mult: 2.0ms (32% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.4893144292690954e-168
0.0
Compiler

Compiled 10 to 12 computations (-20% saved)

simplify25.0ms (0.5%)

Memory
-17.0MiB live, 63.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037124
145124
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
(if (<=.f64 y #s(literal -2050000000 binary64)) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 6139076427730539/4722366482869645213696 binary64)) (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal -4249103942534137/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024 binary64)) (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
Outputs
(if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
(if (<=.f64 y #s(literal -2050000000 binary64)) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 6139076427730539/4722366482869645213696 binary64)) (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal -4249103942534137/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024 binary64)) (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x))
(if (<=.f64 (/.f64 (*.f64 (+.f64 y z) x) z) #s(literal -4249103942534137/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024 binary64)) (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)

soundness1.4s (26.6%)

Memory
34.6MiB live, 504.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023105
037102
1134102
2841102
08120102
0615
0915
14015
225615
3232015
0815615
050456
1171456
2482456
31334456
42618456
53113456
63468456
73906456
84096456
94139456
106034456
116810456
127034456
137432456
147444456
157453456
08121426
0652346
12182346
25802346
315742346
429992346
540992346
647542346
755352346
860932346
962032346
1073972346
081082166
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 201 to 122 computations (39.3% saved)

preprocess53.0ms (1%)

Memory
-25.6MiB live, 93.3MiB allocated
Remove

(negabs x)

Compiler

Compiled 210 to 112 computations (46.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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