Diagrams.Backend.Cairo.Internal:setTexture from diagrams-cairo-1.3.0.3

Time bar (total: 8.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze37.0ms (0.4%)

Memory
-24.5MiB live, 49.4MiB 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
50%49.9%49.9%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
75%74.9%25%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
87.5%87.4%12.5%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
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.2s (13.9%)

Memory
-109.2MiB live, 954.6MiB allocated
Samples
963.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 682.0ms
ival-mult: 542.0ms (79.4% of total)
ival-div: 72.0ms (10.6% of total)
ival-sub: 59.0ms (8.6% of total)
ival-true: 7.0ms (1% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain62.0ms (0.7%)

Memory
-25.2MiB live, 135.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
510-1(2.2625337618133004e-57 3.7279875401496724e-254 1.7851408336170517e-283)(/.f64 (*.f64 x (-.f64 y z)) y)
00-0-y
00-0-(-.f64 y z)
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)) y)o/n410
(*.f64 x (-.f64 y z))overflow66
/.f64(/.f64 (*.f64 x (-.f64 y z)) y)u/n90
(*.f64 x (-.f64 y z))underflow9
Confusion
Predicted +Predicted -
+501
-0205
Precision
1.0
Recall
0.9803921568627451
Confusion?
Predicted +Predicted MaybePredicted -
+5001
-00205
Precision?
1.0
Recall?
0.9803921568627451
Freqs
test
numberfreq
0206
150
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
23.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

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

preprocess291.0ms (3.3%)

Memory
16.8MiB live, 146.0MiB allocated
Algorithm
egg-herbie
Rules
3 616×lower-fma.f64
3 616×lower-fma.f32
2 104×lower-*.f32
2 102×lower-*.f64
1 924×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02776
18070
227665
3115663
4321163
5469663
6561163
7602863
8620463
9621263
10667563
11757663
067
097
1147
2317
3527
41027
51907
64017
710967
832177
944127
1050967
1152757
1254177
1355937
1470247
1574937
1676567
1777637
1877857
1977857
080697
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (-.f64 y z)) y)
Outputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval1.0ms (0%)

Memory
-38.0MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.6%
(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify203.0ms (2.3%)

Memory
22.2MiB live, 176.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y z)
cost-diff0
(*.f64 x (-.f64 y z))
cost-diff0
(/.f64 (*.f64 x (-.f64 y z)) y)
Rules
3 616×lower-fma.f64
3 616×lower-fma.f32
2 104×lower-*.f32
2 102×lower-*.f64
1 412×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11418
23118
35218
410218
519018
640118
7109618
8321718
9441218
10509618
11527518
12541718
13559318
14702418
15749318
16765618
17776318
18778518
19778518
0806918
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (-.f64 y z))
x
(-.f64 y z)
y
z
Outputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 x (-.f64 y z))
(*.f64 (-.f64 y z) x)
x
(-.f64 y z)
y
z

localize153.0ms (1.7%)

Memory
-6.4MiB live, 32.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y z)
accuracy0.01171875
(*.f64 x (-.f64 y z))
accuracy11.782198377530701
(/.f64 (*.f64 x (-.f64 y z)) y)
Samples
148.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (40.2% of total)
ival-mult: 2.0ms (40.2% of total)
ival-sub: 1.0ms (20.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
3 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<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 (taylor 0 z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<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 (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (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 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor inf z) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 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 (+ (* -1 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 (+ (* -1 x) (/ (* 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) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor -inf z) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 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 (+ 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 (+ 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) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 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 (taylor inf y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<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 (* -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 (+ 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 (+ 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 (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<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) (/ (* 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) (/ (* 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) (/ (* 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 (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<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)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<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)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<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
y
@-inf
((/ (* x (- y z)) y) (* x (- y z)) (- y z))
1.0ms
x
@-inf
((/ (* x (- y z)) y) (* x (- y z)) (- y z))
1.0ms
x
@inf
((/ (* x (- y z)) y) (* x (- y z)) (- y z))
1.0ms
z
@-inf
((/ (* x (- y z)) y) (* x (- y z)) (- y z))
1.0ms
z
@inf
((/ (* x (- y z)) y) (* x (- y z)) (- y z))

simplify274.0ms (3.1%)

Memory
-8.2MiB live, 74.3MiB allocated
Algorithm
egg-herbie
Rules
3 842×lower-fma.f64
3 842×lower-fma.f32
2 802×lower-*.f64
2 802×lower-*.f32
1 412×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053585
1174465
2493465
31303465
42739465
54443465
65818465
76239465
86355465
96423465
107298465
117590465
08001465
Stop Event
iter limit
node limit
Counts
96 → 90
Calls
Call 1
Inputs
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* x y)
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(* -1 (* x z))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(* -1 z)
(- y z)
(- y z)
(- y z)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* x y)
(* y (+ x (* -1 (/ (* x z) y))))
(* y (+ x (* -1 (/ (* x z) y))))
(* y (+ x (* -1 (/ (* x z) y))))
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
Outputs
x
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(* x y)
(*.f64 y x)
(+ (* -1 (* x z)) (* x y))
(*.f64 (-.f64 y z) x)
(+ (* -1 (* x z)) (* x y))
(*.f64 (-.f64 y z) x)
(+ (* -1 (* x z)) (* x y))
(*.f64 (-.f64 y z) x)
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(* -1 (/ (* x z) y))
(*.f64 (/.f64 (neg.f64 z) y) x)
(* z (+ (* -1 (/ x y)) (/ x z)))
(-.f64 x (/.f64 (*.f64 z x) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(-.f64 x (/.f64 (*.f64 z x) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(-.f64 x (/.f64 (*.f64 z x) y))
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 (-.f64 y z) x)
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 (-.f64 y z) x)
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 (-.f64 y z) x)
(* -1 z)
(neg.f64 z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 (/ (* x z) y))
(*.f64 (/.f64 (neg.f64 z) y) x)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(-.f64 x (/.f64 (*.f64 z x) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(-.f64 x (/.f64 (*.f64 z x) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(-.f64 x (/.f64 (*.f64 z x) y))
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 (-.f64 y z) x)
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 (-.f64 y z) x)
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 (-.f64 y z) x)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (/ (* x z) y))
(*.f64 (/.f64 (neg.f64 z) y) x)
(/ (+ (* -1 (* x z)) (* x y)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(+ (* -1 (* x z)) (* x y))
(*.f64 (-.f64 y z) x)
(+ (* -1 (* x z)) (* x y))
(*.f64 (-.f64 y z) x)
(+ (* -1 (* x z)) (* x y))
(*.f64 (-.f64 y z) x)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
x
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 (-.f64 y z) x)
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 (-.f64 y z) x)
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 (-.f64 y z) x)
y
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
x
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 (-.f64 y z) x)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 (-.f64 y z) x)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 (-.f64 y z) x)
y
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)

rewrite610.0ms (6.8%)

Memory
8.1MiB live, 201.7MiB allocated
Rules
5 414×lower-/.f32
5 412×lower-/.f64
4 046×lower-fma.f64
4 046×lower-fma.f32
3 526×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13515
222315
3230615
0906015
Stop Event
iter limit
node limit
iter limit
Counts
3 → 418
Calls
Call 1
Inputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (-.f64 y z))
(-.f64 y z)
Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (*.f64 (+.f64 z y) (neg.f64 (-.f64 y z)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 z y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 z y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (+.f64 z y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) (-.f64 y z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 y z) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 y z) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 y z))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 y z) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 y z) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 y z) y))
(*.f64 (/.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 y z)) y))
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 y z) y))
(*.f64 (/.f64 x y) (-.f64 y z))
(*.f64 (neg.f64 x) (*.f64 (-.f64 y z) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (-.f64 y z)) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 y z) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z)))
(*.f64 (neg.f64 (-.f64 y z)) (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 (-.f64 y z)) (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)))
(*.f64 (/.f64 (-.f64 y z) y) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 y z) x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y z) x) y))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x y)))
(*.f64 (*.f64 (neg.f64 x) (-.f64 y z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (*.f64 (-.f64 y z) x) y) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 y z) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (-.f64 y z) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 x (/.f64 (-.f64 y z) y))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 (-.f64 y z) x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y (*.f64 (-.f64 y z) x)) (/.f64 y (*.f64 (-.f64 y z) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 y z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 (-.f64 y z) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 y z) x) y) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 0 binary64) y) (fma.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) (*.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y))))))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 y (/.f64 y (+.f64 z y))) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))))
(+.f64 (neg.f64 z) y)
(+.f64 y (neg.f64 z))

eval211.0ms (2.4%)

Memory
4.1MiB live, 76.2MiB allocated
Compiler

Compiled 10 684 to 1 544 computations (85.5% saved)

prune68.0ms (0.8%)

Memory
-23.0MiB live, 39.5MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New5008508
Fresh000
Picked101
Done000
Total5018509
Accuracy
100.0%
Counts
509 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.3%
(/.f64 (-.f64 y z) (/.f64 y x))
48.7%
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
35.9%
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
97.0%
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)))
97.0%
(*.f64 (/.f64 (-.f64 y z) y) x)
88.3%
(*.f64 (/.f64 x y) (-.f64 y z))
95.1%
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y)))
48.2%
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x))
Compiler

Compiled 118 to 108 computations (8.5% saved)

simplify87.0ms (1%)

Memory
29.3MiB live, 137.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(-.f64 y z)
cost-diff0
(/.f64 (-.f64 y z) (/.f64 y x))
cost-diff-384
(*.f64 (/.f64 x y) (-.f64 y z))
cost-diff0
(-.f64 y z)
cost-diff0
(/.f64 x y)
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- y z) (neg.f64 z))
cost-diff0
(*.f64 x #s(approx (- y z) (neg.f64 z)))
cost-diff0
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
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)) y)
cost-diff0
(-.f64 y z)
cost-diff0
(/.f64 y (-.f64 y z))
cost-diff128
(/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))
cost-diff704
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)))
Rules
3 448×lower-fma.f64
3 448×lower-fma.f32
2 300×lower-*.f32
2 294×lower-*.f64
1 514×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
022118
037124
161124
2118121
3330115
4933114
53295114
66167114
08072114
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)))
#s(literal -1 binary64)
(/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))
(/.f64 y (-.f64 y z))
y
(-.f64 y z)
z
(neg.f64 x)
x
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
#s(approx (* x (- y z)) (*.f64 y x))
(*.f64 y x)
y
x
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
(*.f64 x #s(approx (- y z) (neg.f64 z)))
x
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
z
y
(*.f64 (/.f64 x y) (-.f64 y z))
(/.f64 x y)
x
y
(-.f64 y z)
z
(/.f64 (-.f64 y z) (/.f64 y x))
(-.f64 y z)
y
z
(/.f64 y x)
x
Outputs
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)))
(/.f64 x (/.f64 y (-.f64 y z)))
#s(literal -1 binary64)
(/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))
(/.f64 (/.f64 y x) (-.f64 z y))
(/.f64 y (-.f64 y z))
y
(-.f64 y z)
z
(neg.f64 x)
x
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
(/.f64 #s(approx (* x (- y z)) (*.f64 x y)) y)
#s(approx (* x (- y z)) (*.f64 y x))
#s(approx (* x (- y z)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
(*.f64 x #s(approx (- y z) (neg.f64 z)))
(*.f64 #s(approx (- y z) (neg.f64 z)) x)
x
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
z
y
(*.f64 (/.f64 x y) (-.f64 y z))
(/.f64 x (/.f64 y (-.f64 y z)))
(/.f64 x y)
x
y
(-.f64 y z)
z
(/.f64 (-.f64 y z) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 y z)))
(-.f64 y z)
y
z
(/.f64 y x)
x

localize89.0ms (1%)

Memory
-17.5MiB live, 104.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y x)
accuracy0
(-.f64 y z)
accuracy8.126530398287677
(/.f64 (-.f64 y z) (/.f64 y x))
accuracy0
(/.f64 x y)
accuracy0
(-.f64 y z)
accuracy7.4646208081366705
(*.f64 (/.f64 x y) (-.f64 y z))
accuracy0
(neg.f64 z)
accuracy0.01171875
(*.f64 x #s(approx (- y z) (neg.f64 z)))
accuracy11.782198377530701
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
accuracy31.468973224325488
#s(approx (- y z) (neg.f64 z))
accuracy0
(*.f64 y x)
accuracy11.782198377530701
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
accuracy29.933182454422486
#s(approx (* x (- y z)) (*.f64 y x))
accuracy0
(neg.f64 x)
accuracy0.02734375
(/.f64 y (-.f64 y z))
accuracy0.1796875
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)))
accuracy2.0403547764885435
(/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))
Samples
50.0ms256×0valid
Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 11.0ms (56.8% of total)
ival-mult: 4.0ms (20.7% of total)
ival-neg: 2.0ms (10.3% of total)
ival-sub: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory
17.5MiB live, 98.6MiB allocated
Counts
16 → 456
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<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 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())
#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ z (* x y))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* z (- (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y)))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* z (- (* z (- (* -1 (/ z (* x (pow y 3)))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ z y)) (taylor 0 z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ (/ 1 y) (/ z (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.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 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<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 (+ (* -1 (* x z)) (* 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 (+ (* -1 (* x z)) (* 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 (+ (* -1 (* x z)) (* 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 (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ y x) (/ (pow y 2) (* x z))) z) (taylor inf z) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ())
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#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)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (- y z)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (- y z)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (- y z)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (- y z)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<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)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
5.0ms
y
@inf
((/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ y (- y z)) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ x y) (* (/ x y) (- y z)) (/ (- y z) (/ y x)) (/ y x) (neg x))
2.0ms
x
@-inf
((/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ y (- y z)) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ x y) (* (/ x y) (- y z)) (/ (- y z) (/ y x)) (/ y x) (neg x))
2.0ms
z
@-inf
((/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ y (- y z)) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ x y) (* (/ x y) (- y z)) (/ (- y z) (/ y x)) (/ y x) (neg x))
2.0ms
y
@-inf
((/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ y (- y z)) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ x y) (* (/ x y) (- y z)) (/ (- y z) (/ y x)) (/ y x) (neg x))
2.0ms
x
@0
((/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ y (- y z)) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ x y) (* (/ x y) (- y z)) (/ (- y z) (/ y x)) (/ y x) (neg x))

simplify197.0ms (2.2%)

Memory
-34.6MiB live, 331.0MiB allocated
Algorithm
egg-herbie
Rules
11 530×lower-fma.f64
11 530×lower-fma.f32
4 672×lower-*.f64
4 672×lower-*.f32
2 662×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02673167
17872849
222512756
372652752
083322722
Stop Event
iter limit
node limit
Counts
456 → 435
Calls
Call 1
Inputs
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(/ -1 x)
(- (* -1 (/ z (* x y))) (/ 1 x))
(- (* z (- (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y)))) (/ 1 x))
(- (* z (- (* z (- (* -1 (/ z (* x (pow y 3)))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) (/ 1 x))
1
(+ 1 (/ z y))
(+ 1 (* z (+ (/ 1 y) (/ z (pow y 2)))))
(+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y))))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* x y)
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* x y)
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(/ y (* x z))
(/ (+ (/ y x) (/ (pow y 2) (* x z))) z)
(/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (/ (pow y 3) (* x (pow z 2))))) z)
(/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (+ (/ (pow y 3) (* x (pow z 2))) (/ (pow y 4) (* x (pow z 3)))))) z)
(* -1 (/ y z))
(/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z)
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z)
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z)
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(/ y (* x z))
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (* x z)))) z))
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (+ (/ (pow y 2) x) (/ (pow y 3) (* x z))) z))) z))
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (/ (pow y 4) (* x z)))) z)) (/ (pow y 2) x)) z))) z))
(* -1 (/ y z))
(* -1 (/ (+ y (/ (pow y 2) z)) z))
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Outputs
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(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y 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)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(* -1 (/ y (* x (- y z))))
(/.f64 y (*.f64 (-.f64 z y) x))
(* -1 (/ y (* x (- y z))))
(/.f64 y (*.f64 (-.f64 z y) x))
(* -1 (/ y (* x (- y z))))
(/.f64 y (*.f64 (-.f64 z y) x))
(* -1 (/ y (* x (- y z))))
(/.f64 y (*.f64 (-.f64 z y) x))
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y 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)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ (* x (- y z)) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite188.0ms (2.1%)

Memory
44.8MiB live, 275.8MiB allocated
Rules
4 398×lower-*.f32
4 392×lower-*.f64
3 970×lower-/.f32
3 954×lower-/.f64
2 044×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02297
037103
111794
272293
0843293
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 445
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)))
(/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))
(/.f64 y (-.f64 y z))
(-.f64 y z)
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
#s(approx (* x (- y z)) (*.f64 y x))
(*.f64 y x)
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
(*.f64 x #s(approx (- y z) (neg.f64 z)))
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
(/.f64 x y)
(*.f64 (/.f64 x y) (-.f64 y z))
(/.f64 (-.f64 y z) (/.f64 y x))
(/.f64 y x)
(neg.f64 x)
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 z y) x x) (-.f64 y z)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 z y) x x) (-.f64 y z)) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) z)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x y)) (+.f64 (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z y) z) (-.f64 (*.f64 (+.f64 z y) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 z y) y) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 z y)) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 x (-.f64 y z)))
(*.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 z y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 (-.f64 y z) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 y z) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 z y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (+.f64 z y) (/.f64 y x)) (/.f64 (-.f64 y z) (+.f64 z y)))
(*.f64 (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (/.f64 y x)) (/.f64 (-.f64 y z) (fma.f64 (+.f64 z y) z (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (neg.f64 z) z (*.f64 y y)))) (/.f64 x (+.f64 z y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 x (fma.f64 (+.f64 z y) z (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) y))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (neg.f64 y)))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 y x)))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (neg.f64 y)) (/.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) (/.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) y))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 y)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 y x)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 y)) (/.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (/.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 (neg.f64 z) z (*.f64 y y)))) (/.f64 (neg.f64 x) (+.f64 z y)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (neg.f64 x) (fma.f64 (+.f64 z y) z (*.f64 y y))))
(*.f64 (/.f64 (-.f64 y z) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (-.f64 y z) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 z y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (/.f64 z y) x x) (-.f64 y z)) (pow.f64 (+.f64 z y) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x y)) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (-.f64 z y))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) x x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 z y) x x) (*.f64 x x))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (pow.f64 (-.f64 z y) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 y z) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 z y) x))
(*.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 z y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) (neg.f64 y))))
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (neg.f64 y))))
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) y)))
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) y)))
(*.f64 (fma.f64 (/.f64 y x) y (*.f64 (/.f64 (neg.f64 y) x) z)) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 z y) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (-.f64 z y) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 z y) y) (neg.f64 x))
(*.f64 (+.f64 z y) (/.f64 (-.f64 y z) (/.f64 (*.f64 (+.f64 z y) y) x)))
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 (/.f64 x y) (+.f64 z y)))
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 (neg.f64 x) (*.f64 (+.f64 z y) (neg.f64 y))))
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (*.f64 (+.f64 z y) y)))
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 x y)))
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 z y) y) x)))
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 y x)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 z y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 y z) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (-.f64 y z)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 (*.f64 (/.f64 (-.f64 z y) y) x) #s(literal -1 binary64))
(*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (/.f64 (-.f64 y z) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (/.f64 y x))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 x y) (fma.f64 (+.f64 z y) z (*.f64 y y))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (neg.f64 x) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (neg.f64 y))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) y)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x y)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (/.f64 y x))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 y x)))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y (-.f64 y z))))
(*.f64 (-.f64 z y) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x y) (*.f64 (-.f64 z y) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (-.f64 y z))
(*.f64 (*.f64 x (-.f64 y z)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 x (/.f64 y (-.f64 y z))) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 (-.f64 z y) y))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 z y) y) x))
(pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 (/.f64 y x) y (*.f64 (/.f64 (neg.f64 y) x) z)) (/.f64 y x)) (/.f64 y x))
(/.f64 (/.f64 (*.f64 (-.f64 z y) x) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (/.f64 (-.f64 z y) y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x))) (+.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 (+.f64 z y) z (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 (neg.f64 x) y)) (+.f64 z y))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 x) y)) (fma.f64 (+.f64 z y) z (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 z y) y)) x)
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 z y) y)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 x y)) (neg.f64 (+.f64 z y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 x y)) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))
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(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 y) x) (/.f64 z (/.f64 (neg.f64 y) x)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(fma.f64 (/.f64 (-.f64 z y) y) #s(literal 0 binary64) (/.f64 x (/.f64 y (-.f64 y z))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64))) (/.f64 z (/.f64 (neg.f64 y) x)))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) x) x)
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x y) (*.f64 (/.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x y) (/.f64 z (/.f64 (neg.f64 y) x)))
(fma.f64 (*.f64 (/.f64 x y) z) #s(literal -1 binary64) x)
(fma.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (neg.f64 y) x)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (/.f64 z (/.f64 (neg.f64 y) x)))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 x) y) (*.f64 (/.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 (neg.f64 y) x)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (/.f64 x y) y (*.f64 (/.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x y) y (/.f64 z (/.f64 (neg.f64 y) x)))
(fma.f64 (neg.f64 z) (/.f64 x y) x)
(fma.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)) (/.f64 z (/.f64 (neg.f64 y) x)))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) x)
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) y) (*.f64 (/.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 z (/.f64 (neg.f64 y) x)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (/.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (/.f64 z (/.f64 (neg.f64 y) x)))
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 z)) x)
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) y) (*.f64 (/.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) y) (/.f64 z (/.f64 (neg.f64 y) x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (/.f64 z (/.f64 (neg.f64 y) x)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(fma.f64 y (/.f64 x y) (*.f64 (/.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 x y) (/.f64 z (/.f64 (neg.f64 y) x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) y) (*.f64 (/.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) y) (/.f64 z (/.f64 (neg.f64 y) x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 z)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 (neg.f64 y) x)) (*.f64 (/.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 (neg.f64 y) x)) (/.f64 z (/.f64 (neg.f64 y) x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) z) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (/.f64 z (/.f64 (neg.f64 y) x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 z y) x x)) (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 z y) x x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 z y) x x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 z y) x x) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (/.f64 y x) y) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 (/.f64 y x) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 y y) (/.f64 (*.f64 (+.f64 z y) y) x)) (/.f64 (*.f64 z z) (/.f64 (*.f64 (+.f64 z y) y) x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (/.f64 y x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (/.f64 y x))))
(-.f64 (/.f64 (*.f64 y (/.f64 y (+.f64 z y))) (/.f64 y x)) (/.f64 (*.f64 z (/.f64 z (+.f64 z y))) (/.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 y x)) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (*.f64 (/.f64 (-.f64 z y) y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 z y) y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (-.f64 y z)) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 z y) y) #s(literal 0 binary64)) (/.f64 x (/.f64 y (-.f64 y z))))
(+.f64 (/.f64 z (/.f64 (neg.f64 y) x)) x)
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y (-.f64 y z))))
(+.f64 x (*.f64 (/.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(+.f64 x (/.f64 z (/.f64 (neg.f64 y) x)))
(*.f64 (/.f64 (neg.f64 y) (neg.f64 (*.f64 x x))) x)
(*.f64 (/.f64 (neg.f64 y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 x) #s(literal 1 binary64))
(/.f64 x #s(literal -1 binary64))
(neg.f64 x)
(fma.f64 (neg.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))

eval339.0ms (3.8%)

Memory
21.5MiB live, 402.2MiB allocated
Compiler

Compiled 33 740 to 2 754 computations (91.8% saved)

prune223.0ms (2.5%)

Memory
-33.7MiB live, 128.4MiB allocated
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2 14462 150
Fresh303
Picked325
Done000
Total2 15082 158
Accuracy
100.0%
Counts
2 158 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(fma.f64 (/.f64 (neg.f64 z) y) x x)
95.1%
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
48.7%
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
35.9%
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
48.4%
(/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))
95.1%
(-.f64 x (*.f64 (/.f64 x y) z))
48.2%
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
48.7%
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
Compiler

Compiled 101 to 95 computations (5.9% saved)

simplify116.0ms (1.3%)

Memory
14.3MiB live, 48.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x z)
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) z)
cost-diff0
(-.f64 x (*.f64 (/.f64 x y) z))
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- y z) (neg.f64 z))
cost-diff0
(/.f64 #s(approx (- y z) (neg.f64 z)) y)
cost-diff0
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- y z) (neg.f64 z))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
cost-diff0
(neg.f64 z)
cost-diff0
(/.f64 (neg.f64 z) y)
cost-diff0
(fma.f64 (/.f64 (neg.f64 z) y) x x)
Rules
576×lower-fma.f32
572×lower-fma.f64
446×times-frac
432×lower-*.f32
424×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018105
032104
165104
2111104
3169104
4221104
5394104
6607104
71048104
81377104
91550104
101571104
111578104
121581104
131582104
01582104
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (neg.f64 z) y) x x)
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
x
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
(/.f64 x y)
x
y
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
z
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
(/.f64 #s(approx (- y z) (neg.f64 z)) y)
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
z
y
x
(-.f64 x (*.f64 (/.f64 x y) z))
x
(*.f64 (/.f64 x y) z)
(/.f64 x y)
y
z
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(*.f64 x z)
x
z
Outputs
(fma.f64 (/.f64 (neg.f64 z) y) x x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) x)
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
x
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
(*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
z
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
(*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y))
(/.f64 #s(approx (- y z) (neg.f64 z)) y)
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
z
y
x
(-.f64 x (*.f64 (/.f64 x y) z))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) x)
x
(*.f64 (/.f64 x y) z)
(/.f64 x y)
y
z
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) x)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(*.f64 x z)
x
z

localize290.0ms (3.3%)

Memory
3.8MiB live, 130.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0
(*.f64 x z)
accuracy3.1631713511173327
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
accuracy0
(/.f64 x y)
accuracy0.01171875
(-.f64 x (*.f64 (/.f64 x y) z))
accuracy4.363136973850704
(*.f64 (/.f64 x y) z)
accuracy0
(neg.f64 z)
accuracy0.01171875
(/.f64 #s(approx (- y z) (neg.f64 z)) y)
accuracy1.9262536750861416
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
accuracy31.468973224325488
#s(approx (- y z) (neg.f64 z))
accuracy0
(/.f64 x y)
accuracy0
(neg.f64 z)
accuracy7.4646208081366705
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
accuracy31.468973224325488
#s(approx (- y z) (neg.f64 z))
accuracy0
(/.f64 (neg.f64 z) y)
accuracy0
(neg.f64 z)
accuracy1.9184411750861416
(fma.f64 (/.f64 (neg.f64 z) y) x x)
Samples
275.0ms256×0valid
Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
ival-sub: 108.0ms (82.3% of total)
ival-mult: 11.0ms (8.4% of total)
ival-div: 9.0ms (6.9% of total)
ival-add: 2.0ms (1.5% of total)
ival-neg: 1.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory
-0.5MiB live, 38.3MiB allocated
Counts
13 → 360
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (neg.f64 z) y) x x) (patch (fma.f64 (/.f64 (neg.f64 z) y) x x) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 z) y) (patch (/.f64 (neg.f64 z) y) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- y z) (neg.f64 z)) y) (patch (/.f64 #s(approx (- y z) (neg.f64 z)) y) #<representation binary64>) () ())
#s(alt (-.f64 x (*.f64 (/.f64 x y) z)) (patch (-.f64 x (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (/.f64 (neg.f64 z) y) x x) (patch (fma.f64 (/.f64 (neg.f64 z) y) x x) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) 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 (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (neg.f64 z) y) x x) (patch (fma.f64 (/.f64 (neg.f64 z) y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (neg.f64 z) y) x x) (patch (fma.f64 (/.f64 (neg.f64 z) y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (neg.f64 z) y) x x) (patch (fma.f64 (/.f64 (neg.f64 z) y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (neg.f64 z) y) x x) (patch (fma.f64 (/.f64 (neg.f64 z) y) x x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 (/.f64 x y) z)) (patch (-.f64 x (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 (/.f64 x y) z)) (patch (-.f64 x (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 (/.f64 x y) z)) (patch (-.f64 x (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 (/.f64 x y) z)) (patch (-.f64 x (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) 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>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
21.0ms
y
@inf
((+ (* (/ (neg z) y) x) x) (/ (neg z) y) (neg z) (* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- x (* (/ x y) z)) (* (/ x y) z) (+ (* (/ -1 y) (* x z)) x) (/ -1 y) (* x z))
4.0ms
z
@-inf
((+ (* (/ (neg z) y) x) x) (/ (neg z) y) (neg z) (* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- x (* (/ x y) z)) (* (/ x y) z) (+ (* (/ -1 y) (* x z)) x) (/ -1 y) (* x z))
2.0ms
y
@0
((+ (* (/ (neg z) y) x) x) (/ (neg z) y) (neg z) (* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- x (* (/ x y) z)) (* (/ x y) z) (+ (* (/ -1 y) (* x z)) x) (/ -1 y) (* x z))
2.0ms
x
@-inf
((+ (* (/ (neg z) y) x) x) (/ (neg z) y) (neg z) (* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- x (* (/ x y) z)) (* (/ x y) z) (+ (* (/ -1 y) (* x z)) x) (/ -1 y) (* x z))
2.0ms
z
@0
((+ (* (/ (neg z) y) x) x) (/ (neg z) y) (neg z) (* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- x (* (/ x y) z)) (* (/ x y) z) (+ (* (/ -1 y) (* x z)) x) (/ -1 y) (* x z))

simplify626.0ms (7%)

Memory
-2.9MiB live, 184.1MiB allocated
Algorithm
egg-herbie
Rules
27 104×lower-fma.f64
27 104×lower-fma.f32
3 376×lower-*.f64
3 376×lower-*.f32
3 072×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0621953
11821803
24531803
311171803
426821803
543371803
655641803
759611803
861641803
962801803
1063061803
1166841803
1270041803
1370401803
1470401803
083241803
Stop Event
iter limit
node limit
Counts
360 → 342
Calls
Call 1
Inputs
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ z y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 (/ z y))
(* z (- (/ 1 z) (/ 1 y)))
(* z (- (/ 1 z) (/ 1 y)))
(* z (- (/ 1 z) (/ 1 y)))
(* -1 (/ (* x z) y))
(* z (- (/ x z) (/ x y)))
(* z (- (/ x z) (/ x y)))
(* z (- (/ x z) (/ x y)))
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (/ z y))
(* -1 (* z (- (/ 1 y) (/ 1 z))))
(* -1 (* z (- (/ 1 y) (/ 1 z))))
(* -1 (* z (- (/ 1 y) (/ 1 z))))
(* -1 (/ (* x z) y))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -1 z)
(- y z)
(- y z)
(- y z)
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(* -1 (/ z y))
(/ (+ y (* -1 z)) y)
(/ (+ y (* -1 z)) y)
(/ (+ y (* -1 z)) y)
(* -1 (/ (* x z) y))
(/ (- (* x y) (* x z)) y)
(/ (- (* x y) (* x z)) y)
(/ (- (* x y) (* x z)) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ z y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ z y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(* x (- 1 (/ z y)))
(* x (- 1 (/ z y)))
(* x (- 1 (/ z y)))
(* x (- 1 (/ z y)))
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(* x (- 1 (/ z y)))
(* x (- 1 (/ z y)))
(* x (- 1 (/ z y)))
(* x (- 1 (/ z y)))
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (* x (- (/ z y) 1)))
(* -1 (* x (- (/ z y) 1)))
(* -1 (* x (- (/ z y) 1)))
(* -1 (* x (- (/ z y) 1)))
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(* -1 (* x (- (/ z y) 1)))
(* -1 (* x (- (/ z y) 1)))
(* -1 (* x (- (/ z y) 1)))
(* -1 (* x (- (/ z y) 1)))
(* x z)
(* x z)
(* x z)
(* x z)
Outputs
x
(+ x (* -1 (/ (* x z) y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
x
(+ x (* -1 (/ (* x z) y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(+ x (* -1 (/ (* x z) y)))
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(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* x (- 1 (/ z y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* x (- 1 (/ z y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* x (- 1 (/ z y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* x (- 1 (/ z y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(/ (* x z) y)
(/.f64 (*.f64 z x) y)
(/ (* x z) y)
(/.f64 (*.f64 z x) y)
(/ (* x z) y)
(/.f64 (*.f64 z x) y)
(/ (* x z) y)
(/.f64 (*.f64 z x) y)
(* x (+ 1 (* -1 (/ z y))))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* x (+ 1 (* -1 (/ z y))))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* x (+ 1 (* -1 (/ z y))))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* x (+ 1 (* -1 (/ z y))))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* -1 (* x (- (/ z y) 1)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* -1 (* x (- (/ z y) 1)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* -1 (* x (- (/ z y) 1)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* -1 (* x (- (/ z y) 1)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(/ (* x (- y z)) y)
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(/ (* x (- y z)) y)
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(/ (* x (- y z)) y)
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(/ (* x (- y z)) y)
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x (- y z)) y)
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(/ (* x (- y z)) y)
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(/ (* x (- y z)) y)
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(/ (* x (- y z)) y)
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* x (+ 1 (* -1 (/ z y))))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* x (+ 1 (* -1 (/ z y))))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* x (+ 1 (* -1 (/ z y))))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* x (+ 1 (* -1 (/ z y))))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(/ (* x z) y)
(/.f64 (*.f64 z x) y)
(/ (* x z) y)
(/.f64 (*.f64 z x) y)
(/ (* x z) y)
(/.f64 (*.f64 z x) y)
(/ (* x z) y)
(/.f64 (*.f64 z x) y)
(* -1 (* x (- (/ z y) 1)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* -1 (* x (- (/ z y) 1)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* -1 (* x (- (/ z y) 1)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* -1 (* x (- (/ z y) 1)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)

rewrite291.0ms (3.3%)

Memory
11.6MiB live, 344.3MiB allocated
Rules
9 622×lower-fma.f32
9 618×lower-fma.f64
4 546×lower-*.f32
4 538×lower-*.f64
2 688×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01876
03275
113275
290475
3715875
0823075
Stop Event
iter limit
node limit
iter limit
Counts
13 → 694
Calls
Call 1
Inputs
(fma.f64 (/.f64 (neg.f64 z) y) x x)
(/.f64 (neg.f64 z) y)
(neg.f64 z)
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
(/.f64 x y)
#s(approx (- y z) (neg.f64 z))
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
(/.f64 #s(approx (- y z) (neg.f64 z)) y)
(-.f64 x (*.f64 (/.f64 x y) z))
(*.f64 (/.f64 x y) z)
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(/.f64 #s(literal -1 binary64) y)
(*.f64 x z)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z)) (-.f64 (*.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (/.f64 x y) z x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 x y) z x) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) z x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (/.f64 x y) z x) x) (-.f64 (*.f64 (fma.f64 (/.f64 x y) z x) x) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (/.f64 x y) (neg.f64 z) x) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)))) (fma.f64 (/.f64 x y) (neg.f64 z) x))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)))) (fma.f64 (/.f64 x y) (neg.f64 z) x))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 x y) z) (-.f64 (*.f64 (/.f64 x y) z) x) (*.f64 x x)))
(*.f64 (pow.f64 (fma.f64 (/.f64 x y) z x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) z x)) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) x)
(*.f64 (fma.f64 (/.f64 x y) z x) (/.f64 (fma.f64 (/.f64 x y) (neg.f64 z) x) (fma.f64 (/.f64 x y) z x)))
(*.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (fma.f64 (/.f64 x y) (neg.f64 z) x) (pow.f64 (fma.f64 (/.f64 x y) z x) #s(literal -1 binary64))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 x y) z x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) z x)))
(*.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 x y) (neg.f64 z) x) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 x y) (neg.f64 z) x) (pow.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (neg.f64 z) x))
(*.f64 (fma.f64 (/.f64 x y) (neg.f64 z) x) (/.f64 (neg.f64 (fma.f64 (/.f64 x y) z x)) (neg.f64 (fma.f64 (/.f64 x y) z x))))
(*.f64 (fma.f64 (/.f64 x y) (neg.f64 z) x) (*.f64 (neg.f64 (fma.f64 (/.f64 x y) z x)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) z x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (neg.f64 z) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (/.f64 z y) (/.f64 z y) #s(literal -1 binary64)) x) (fma.f64 (/.f64 z y) #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 z y) (/.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 x y) z x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (/.f64 x y) z x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) z x))) (fma.f64 x x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) z x))) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 x y) z) x) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) z x))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (/.f64 x y) z x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x)))
(/.f64 (*.f64 x (fma.f64 (/.f64 z y) (/.f64 z y) #s(literal -1 binary64))) (fma.f64 (/.f64 z y) #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 z y) (/.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (fma.f64 (/.f64 x y) z x))) (*.f64 x (/.f64 x (fma.f64 (/.f64 x y) z x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) z x)) (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) z x)))) (fma.f64 x (/.f64 x (fma.f64 (/.f64 x y) z x)) (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) z x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 x y) z x))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 x y) z x)))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) (fma.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) z x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x))))
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(/.f64 #s(literal -1 binary64) y)
(neg.f64 (pow.f64 y #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 x) z) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (neg.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 x z))
(*.f64 (*.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) z))
(*.f64 x z)
(*.f64 (neg.f64 z) (neg.f64 x))
(*.f64 z x)
(neg.f64 (*.f64 (neg.f64 x) z))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) z))

eval133.0ms (1.5%)

Memory
21.4MiB live, 323.6MiB allocated
Compiler

Compiled 19 538 to 1 117 computations (94.3% saved)

prune69.0ms (0.8%)

Memory
-25.9MiB live, 138.7MiB allocated
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New1 19011 191
Fresh011
Picked055
Done022
Total1 19091 199
Accuracy
100.0%
Counts
1 199 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(fma.f64 (/.f64 (neg.f64 z) y) x x)
95.1%
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
48.7%
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
35.9%
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
48.4%
(/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))
95.1%
(-.f64 x (*.f64 (/.f64 x y) z))
48.2%
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
48.7%
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
50.8%
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
Compiler

Compiled 61 to 60 computations (1.6% saved)

simplify75.0ms (0.8%)

Memory
-5.1MiB live, 77.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y z)
cost-diff0
(/.f64 (/.f64 y z) x)
cost-diff0
#s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))
cost-diff0
#s(approx (/ (- y z) y) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
Rules
752×lower-fma.f64
752×lower-fma.f32
722×times-frac
624×lower-*.f32
622×lower-*.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01660
02060
13660
26660
315460
429358
544558
685558
7188258
8244558
9266258
10270158
11272058
12275458
13275858
0275858
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
#s(approx (/ (- y z) y) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))
#s(literal -1 binary64)
#s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))
(/.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
Outputs
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64)))
#s(approx (/ (- y z) y) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))
#s(literal -1 binary64)
#s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))
(/.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x

localize32.0ms (0.4%)

Memory
12.2MiB live, 90.5MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y z)
accuracy0.1796875
(/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))
accuracy5.381372893274001
(/.f64 (/.f64 y z) x)
accuracy31.42885176098928
#s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))
accuracy1.9262536750861416
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
accuracy31.72188388142231
#s(approx (/ (- y z) y) #s(literal 1 binary64))
Samples
24.0ms256×0valid
Compiler

Compiled 46 to 16 computations (65.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 11.0ms (70% of total)
ival-mult: 2.0ms (12.7% of total)
ival-sub: 1.0ms (6.4% of total)
ival-neg: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-3.2MiB live, 37.7MiB allocated
Counts
6 → 192
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ z (* x y))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (- (* z (- (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y)))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (- (* z (- (* z (- (* -1 (/ z (* x (pow y 3)))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor inf z) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z y)) (taylor inf z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) (/ 1 y))) (taylor inf z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) (/ 1 y))) (taylor inf z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) (/ 1 y))) (taylor inf z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ y x) (/ (pow y 2) (* x z))) z) (taylor inf z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (/ (pow y 3) (* x (pow z 2))))) z) (taylor inf z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (+ (/ (pow y 3) (* x (pow z 2))) (/ (pow y 4) (* x (pow z 3)))))) z) (taylor inf z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor -inf z) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z y)) (taylor -inf z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (/ 1 y) (/ 1 z)))) (taylor -inf z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (/ 1 y) (/ 1 z)))) (taylor -inf z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (/ 1 y) (/ 1 z)))) (taylor -inf z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor -inf z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (* x z)))) z)) (taylor -inf z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
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#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (- y z)))) (taylor inf x) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (- y z)))) (taylor inf x) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (- y z)))) (taylor inf x) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (- y z)))) (taylor inf x) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf x) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf x) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf x) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf x) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (- y z)))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (- y z)))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (- y z)))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (- y z)))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((* (/ (- y z) y) x) (/ (- y z) y) (/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ (/ y z) x) (/ y z))
1.0ms
y
@-inf
((* (/ (- y z) y) x) (/ (- y z) y) (/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ (/ y z) x) (/ y z))
1.0ms
x
@-inf
((* (/ (- y z) y) x) (/ (- y z) y) (/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ (/ y z) x) (/ y z))
1.0ms
z
@-inf
((* (/ (- y z) y) x) (/ (- y z) y) (/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ (/ y z) x) (/ y z))
1.0ms
y
@0
((* (/ (- y z) y) x) (/ (- y z) y) (/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ (/ y z) x) (/ y z))

simplify203.0ms (2.3%)

Memory
20.7MiB live, 212.7MiB allocated
Algorithm
egg-herbie
Rules
15 036×lower-fma.f64
15 036×lower-fma.f32
4 742×lower-*.f64
4 742×lower-*.f32
2 474×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01581411
14391329
212641273
337611249
082151234
Stop Event
iter limit
node limit
Counts
192 → 186
Calls
Call 1
Inputs
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ z y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(/ -1 x)
(- (* -1 (/ z (* x y))) (/ 1 x))
(- (* z (- (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y)))) (/ 1 x))
(- (* z (- (* z (- (* -1 (/ z (* x (pow y 3)))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) (/ 1 x))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 (/ z y))
(* z (- (/ 1 z) (/ 1 y)))
(* z (- (/ 1 z) (/ 1 y)))
(* z (- (/ 1 z) (/ 1 y)))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(/ y (* x z))
(/ (+ (/ y x) (/ (pow y 2) (* x z))) z)
(/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (/ (pow y 3) (* x (pow z 2))))) z)
(/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (+ (/ (pow y 3) (* x (pow z 2))) (/ (pow y 4) (* x (pow z 3)))))) z)
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (/ z y))
(* -1 (* z (- (/ 1 y) (/ 1 z))))
(* -1 (* z (- (/ 1 y) (/ 1 z))))
(* -1 (* z (- (/ 1 y) (/ 1 z))))
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(/ y (* x z))
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (* x z)))) z))
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (+ (/ (pow y 2) x) (/ (pow y 3) (* x z))) z))) z))
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (/ (pow y 4) (* x z)))) z)) (/ (pow y 2) x)) z))) z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(* -1 (/ z y))
(/ (+ y (* -1 z)) y)
(/ (+ y (* -1 z)) y)
(/ (+ y (* -1 z)) y)
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ y (* x z))
(* y (+ (/ 1 (* x z)) (/ y (* x (pow z 2)))))
(* y (+ (* y (+ (/ 1 (* x (pow z 2))) (/ y (* x (pow z 3))))) (/ 1 (* x z))))
(* y (+ (* y (+ (* y (+ (/ 1 (* x (pow z 3))) (/ y (* x (pow z 4))))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z))))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ z y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(/ -1 x)
(- (* -1 (/ z (* x y))) (/ 1 x))
(- (* -1 (/ (pow z 2) (* x (pow y 2)))) (+ (/ 1 x) (/ z (* x y))))
(- (* -1 (/ (pow z 3) (* x (pow y 3)))) (+ (/ 1 x) (+ (/ z (* x y)) (/ (pow z 2) (* x (pow y 2))))))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ z y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(/ -1 x)
(- (* -1 (/ z (* x y))) (/ 1 x))
(- (* -1 (/ (- (/ (pow z 2) (* x y)) (* -1 (/ z x))) y)) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x y))) (/ (pow z 2) x)) y)) (* -1 (/ z x))) y)) (/ 1 x))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(* -1 (/ y (* x (- y z))))
(* -1 (/ y (* x (- y z))))
(* -1 (/ y (* x (- y z))))
(* -1 (/ y (* x (- y z))))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(* -1 (/ y (* x (- y z))))
(* -1 (/ y (* x (- y z))))
(* -1 (/ y (* x (- y z))))
(* -1 (/ y (* x (- y z))))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(* -1 (/ y (* x (- y z))))
(* -1 (/ y (* x (- y z))))
(* -1 (/ y (* x (- y z))))
(* -1 (/ y (* x (- y z))))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
Outputs
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ z y)))
(/.f64 (-.f64 y z) y)
(+ 1 (* -1 (/ z y)))
(/.f64 (-.f64 y z) y)
(+ 1 (* -1 (/ z y)))
(/.f64 (-.f64 y z) y)
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* -1 (/ z (* x y))) (/ 1 x))
(*.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(- (* z (- (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y)))) (/ 1 x))
(neg.f64 (fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) x)))
(- (* z (- (* z (- (* -1 (/ z (* x (pow y 3)))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 z (/.f64 z y) z) (/.f64 z x)) y))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(* -1 (/ (* x z) y))
(*.f64 (neg.f64 x) (/.f64 z y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* z (- (/ 1 z) (/ 1 y)))
(/.f64 (-.f64 y z) y)
(* z (- (/ 1 z) (/ 1 y)))
(/.f64 (-.f64 y z) y)
(* z (- (/ 1 z) (/ 1 y)))
(/.f64 (-.f64 y z) y)
(* -1 (/ (* x z) y))
(*.f64 (neg.f64 x) (/.f64 z y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ (+ (/ y x) (/ (pow y 2) (* x z))) z)
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))
(/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (/ (pow y 3) (* x (pow z 2))))) z)
(/.f64 (fma.f64 (/.f64 y (*.f64 z x)) (fma.f64 y (/.f64 y z) y) (/.f64 y x)) z)
(/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (+ (/ (pow y 3) (* x (pow z 2))) (/ (pow y 4) (* x (pow z 3)))))) z)
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 (/.f64 y z) z) y (+.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 z #s(literal 3 binary64)))) z)
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(* -1 (/ (* x z) y))
(*.f64 (neg.f64 x) (/.f64 z y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 (/.f64 (-.f64 y z) y) x)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 (/.f64 (-.f64 y z) y) x)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 (/.f64 (-.f64 y z) y) x)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (* z (- (/ 1 y) (/ 1 z))))
(/.f64 (-.f64 y z) y)
(* -1 (* z (- (/ 1 y) (/ 1 z))))
(/.f64 (-.f64 y z) y)
(* -1 (* z (- (/ 1 y) (/ 1 z))))
(/.f64 (-.f64 y z) y)
(* -1 (/ (* x z) y))
(*.f64 (neg.f64 x) (/.f64 z y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 (/.f64 (-.f64 y z) y) x)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 (/.f64 (-.f64 y z) y) x)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ y (* x z))
(/.f64 y (*.f64 z x))
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (* x z)))) z))
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (+ (/ (pow y 2) x) (/ (pow y 3) (* x z))) z))) z))
(/.f64 (+.f64 (/.f64 (*.f64 (/.f64 y x) (fma.f64 (/.f64 y z) y y)) z) (/.f64 y x)) z)
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (/ (pow y 4) (* x z)))) z)) (/ (pow y 2) x)) z))) z))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 y x) y (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) z)) z) (/.f64 y x)) z)
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(* -1 (/ (* x z) y))
(*.f64 (neg.f64 x) (/.f64 z y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(/ (+ y (* -1 z)) y)
(/.f64 (-.f64 y z) y)
(/ (+ y (* -1 z)) y)
(/.f64 (-.f64 y z) y)
(/ (+ y (* -1 z)) y)
(/.f64 (-.f64 y z) y)
(* -1 (/ (* x z) y))
(*.f64 (neg.f64 x) (/.f64 z y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ y (* x z))
(/.f64 y (*.f64 z x))
(* y (+ (/ 1 (* x z)) (/ y (* x (pow z 2)))))
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))
(* y (+ (* y (+ (/ 1 (* x (pow z 2))) (/ y (* x (pow z 3))))) (/ 1 (* x z))))
(fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (pow.f64 z #s(literal 3 binary64))))
(* y (+ (* y (+ (* y (+ (/ 1 (* x (pow z 3))) (/ y (* x (pow z 4))))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z))))
(fma.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 (/.f64 y (*.f64 z x)) z) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (pow.f64 z #s(literal 4 binary64)))) y (/.f64 y (*.f64 z x)))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ z y)))
(/.f64 (-.f64 y z) y)
(+ 1 (* -1 (/ z y)))
(/.f64 (-.f64 y z) y)
(+ 1 (* -1 (/ z y)))
(/.f64 (-.f64 y z) y)
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* -1 (/ z (* x y))) (/ 1 x))
(*.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (pow z 2) (* x (pow y 2)))) (+ (/ 1 x) (/ z (* x y))))
(neg.f64 (fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) x)))
(- (* -1 (/ (pow z 3) (* x (pow y 3)))) (+ (/ 1 x) (+ (/ z (* x y)) (/ (pow z 2) (* x (pow y 2))))))
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 z (/.f64 z y) z) (/.f64 z x)) y))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ z y)))
(/.f64 (-.f64 y z) y)
(+ 1 (* -1 (/ z y)))
(/.f64 (-.f64 y z) y)
(+ 1 (* -1 (/ z y)))
(/.f64 (-.f64 y z) y)
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(+ x (* -1 (/ (* x z) y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* -1 (/ z (* x y))) (/ 1 x))
(*.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (- (/ (pow z 2) (* x y)) (* -1 (/ z x))) y)) (/ 1 x))
(neg.f64 (fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) x)))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x y))) (/ (pow z 2) x)) y)) (* -1 (/ z x))) y)) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 z (/.f64 z y) z) (/.f64 z x)) y))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(* -1 (/ y (* x (- y z))))
(/.f64 (/.f64 y (-.f64 z y)) x)
(* -1 (/ y (* x (- y z))))
(/.f64 (/.f64 y (-.f64 z y)) x)
(* -1 (/ y (* x (- y z))))
(/.f64 (/.f64 y (-.f64 z y)) x)
(* -1 (/ y (* x (- y z))))
(/.f64 (/.f64 y (-.f64 z y)) x)
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(* -1 (/ y (* x (- y z))))
(/.f64 (/.f64 y (-.f64 z y)) x)
(* -1 (/ y (* x (- y z))))
(/.f64 (/.f64 y (-.f64 z y)) x)
(* -1 (/ y (* x (- y z))))
(/.f64 (/.f64 y (-.f64 z y)) x)
(* -1 (/ y (* x (- y z))))
(/.f64 (/.f64 y (-.f64 z y)) x)
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(/ (* x (- y z)) y)
(*.f64 (/.f64 (-.f64 y z) y) x)
(* -1 (/ y (* x (- y z))))
(/.f64 (/.f64 y (-.f64 z y)) x)
(* -1 (/ y (* x (- y z))))
(/.f64 (/.f64 y (-.f64 z y)) x)
(* -1 (/ y (* x (- y z))))
(/.f64 (/.f64 y (-.f64 z y)) x)
(* -1 (/ y (* x (- y z))))
(/.f64 (/.f64 y (-.f64 z y)) x)
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))

rewrite136.0ms (1.5%)

Memory
-11.3MiB live, 198.0MiB allocated
Rules
3 532×lower-*.f32
3 530×lower-*.f64
2 330×lower-/.f32
2 324×lower-/.f64
1 696×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01654
02054
18354
254052
3537252
0849852
Stop Event
iter limit
node limit
iter limit
Counts
6 → 133
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
#s(approx (/ (- y z) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))
(/.f64 (/.f64 y z) x)
(/.f64 y z)
Outputs
(*.f64 (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))))
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))))
#s(approx (/ (- y z) y) #s(literal 1 binary64))
(*.f64 (pow.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))))
(pow.f64 (exp.f64 (log.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal 1 binary64))
(/.f64 (pow.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))))
(neg.f64 (pow.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal -1 binary64))
(*.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))))
(*.f64 #s(literal 1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))
(pow.f64 (pow.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal 1 binary64))
#s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))
(/.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal -1 binary64))
(/.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) (*.f64 x x)) x)
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(*.f64 (/.f64 (/.f64 y z) (*.f64 x x)) x)
(*.f64 (/.f64 (/.f64 y z) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y x))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y x))
(*.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64)) y)
(*.f64 (/.f64 y x) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 y x) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y x) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 y z) x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y x))
(*.f64 (/.f64 (neg.f64 y) z) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 y) (pow.f64 (*.f64 x z) #s(literal -1 binary64)))
(*.f64 (/.f64 y z) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) x))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) x))
(*.f64 y (pow.f64 (*.f64 x z) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 z y) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 z y) x) (*.f64 (/.f64 z y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (/.f64 y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 z) (/.f64 y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y z) x) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 z y) x) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64)) x)
(/.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 x z))
(/.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 y x) (neg.f64 z))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 (/.f64 y z) x) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 z) y))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z y))
(/.f64 (/.f64 (neg.f64 y) z) x)
(/.f64 (neg.f64 y) (*.f64 x z))
(/.f64 (/.f64 y z) x)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) x))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))
(/.f64 y (*.f64 x z))
(neg.f64 (/.f64 (/.f64 y z) x))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 y z) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x z)) (/.f64 (/.f64 y z) x))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y z) x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64))
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 y (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 z y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 y z)
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)))
(neg.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y z) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z))
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))

eval63.0ms (0.7%)

Memory
-1.8MiB live, 82.7MiB allocated
Compiler

Compiled 3 195 to 539 computations (83.1% saved)

prune13.0ms (0.1%)

Memory
3.7MiB live, 40.6MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New3181319
Fresh000
Picked022
Done077
Total31810328
Accuracy
100.0%
Counts
328 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(fma.f64 (/.f64 (neg.f64 z) y) x x)
95.1%
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
48.7%
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
35.9%
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
48.4%
(/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))
95.1%
(-.f64 x (*.f64 (/.f64 x y) z))
48.2%
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
48.7%
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
50.8%
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
2.7%
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))))
Compiler

Compiled 185 to 116 computations (37.3% saved)

regimes25.0ms (0.3%)

Memory
-16.8MiB live, 59.5MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))))
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x))
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y)))
(*.f64 (/.f64 x y) (-.f64 y z))
(*.f64 (/.f64 (-.f64 y z) y) x)
(-.f64 x (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 x (-.f64 y z)) y)
(fma.f64 (/.f64 (neg.f64 z) y) x x)
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)))
Outputs
(-.f64 x (*.f64 (/.f64 x y) z))
(*.f64 (/.f64 (-.f64 y z) y) x)
Calls

4 calls:

7.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
6.0ms
x
5.0ms
y
5.0ms
z
Results
AccuracySegmentsBranch
99.1%2x
97.0%1y
97.0%1z
97.0%1(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes18.0ms (0.2%)

Memory
-2.0MiB live, 42.6MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))))
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x))
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y)))
(*.f64 (/.f64 x y) (-.f64 y z))
(*.f64 (/.f64 (-.f64 y z) y) x)
Outputs
(*.f64 (/.f64 (-.f64 y z) y) x)
Calls

4 calls:

6.0ms
z
4.0ms
x
4.0ms
y
3.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
Results
AccuracySegmentsBranch
97.0%1y
97.0%1z
97.0%1(/.f64 (*.f64 x (-.f64 y z)) y)
97.0%1x
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes15.0ms (0.2%)

Memory
-5.5MiB live, 33.7MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))))
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x))
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y)))
(*.f64 (/.f64 x y) (-.f64 y z))
Outputs
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y)))
(*.f64 (/.f64 x y) (-.f64 y z))
Calls

4 calls:

4.0ms
x
4.0ms
y
3.0ms
z
3.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
Results
AccuracySegmentsBranch
95.1%1x
95.1%1y
95.1%1z
97.7%2(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes14.0ms (0.2%)

Memory
-5.2MiB live, 33.4MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))))
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x))
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y)))
Outputs
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y)))
Calls

4 calls:

4.0ms
x
3.0ms
y
3.0ms
z
3.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
Results
AccuracySegmentsBranch
95.1%1x
95.1%1y
95.1%1z
95.1%1(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes12.0ms (0.1%)

Memory
29.8MiB live, 29.8MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))))
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x))
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
Outputs
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
Calls

4 calls:

3.0ms
y
3.0ms
x
3.0ms
z
3.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
Results
AccuracySegmentsBranch
59.3%5x
77.1%3y
75.9%3z
75.8%4(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0%)

Memory
-30.8MiB live, 7.9MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))))
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x))
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
Outputs
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
76.5%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))))
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x))
Outputs
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x))
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
Calls

2 calls:

2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
73.5%3z
75.6%3y
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes8.0ms (0.1%)

Memory
20.2MiB live, 20.2MiB allocated
Accuracy

Total -31.5b remaining (-99.9%)

Threshold costs -31.5b (-99.9%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))))
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
Outputs
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
Calls

4 calls:

2.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
Results
AccuracySegmentsBranch
50.8%1x
50.8%1z
50.8%1(/.f64 (*.f64 x (-.f64 y z)) y)
50.8%1y
Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.3727574943891613e-42
1.4002388564664215e-42
Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.826617521338839e+306
+inf
Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch27.0ms (0.3%)

Memory
-31.6MiB live, 48.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.1909804636095628e-8
0.011977814874385699
13.0ms
-6.797488671077244e+36
-2.1269117759475655e+34
Samples
14.0ms272×0valid
Compiler

Compiled 197 to 267 computations (-35.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (38.4% of total)
ival-mult: 2.0ms (38.4% of total)
ival-sub: 1.0ms (19.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
24.0MiB live, 24.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
2.8908863971343933e+28
2.1300612727653714e+30
1.0ms
-6.797488671077244e+36
-2.1269117759475655e+34
Samples
4.0ms112×0valid
Compiler

Compiled 175 to 237 computations (-35.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (47.9% of total)
ival-div: 1.0ms (47.9% of total)
ival-mult: 1.0ms (47.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.8908863971343933e+28
2.1300612727653714e+30
1.0ms
-6.797488671077244e+36
-2.1269117759475655e+34
Compiler

Compiled 175 to 237 computations (-35.4% saved)

simplify29.0ms (0.3%)

Memory
-2.1MiB live, 71.7MiB allocated
Algorithm
egg-herbie
Rules
38×*-commutative-binary64-*.f64
24×+-commutative-binary64-+.f64
24×sub-neg-binary64-neg.f64-+.f64--.f64
20×neg-sub0-binary64--.f64-neg.f64
20×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049193
174193
2103193
3128193
4140193
5144193
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 8787942429541353/6277101735386680763835789423207666416102355444464034512896 binary64)) (-.f64 x (*.f64 (/.f64 x y) z)) (*.f64 (/.f64 (-.f64 y z) y) x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) #s(literal 4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 binary64)) #s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y))) (*.f64 (/.f64 x y) (-.f64 y z)))
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y)))
(if (<=.f64 y #s(literal -58000000000000002607970920282718208 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 4722366482869645/73786976294838206464 binary64)) (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -58000000000000002607970920282718208 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 144999999999999997253771067392 binary64)) (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -58000000000000002607970920282718208 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 144999999999999997253771067392 binary64)) #s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
Outputs
(if (<=.f64 x #s(literal 8787942429541353/6277101735386680763835789423207666416102355444464034512896 binary64)) (-.f64 x (*.f64 (/.f64 x y) z)) (*.f64 (/.f64 (-.f64 y z) y) x))
(if (<=.f64 x #s(literal 8787942429541353/6277101735386680763835789423207666416102355444464034512896 binary64)) (-.f64 x (*.f64 z (/.f64 x y))) (*.f64 (/.f64 (-.f64 y z) y) x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) #s(literal 4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 binary64)) #s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y))) (*.f64 (/.f64 x y) (-.f64 y z)))
(if (<=.f64 (/.f64 (*.f64 (-.f64 y z) x) y) #s(literal 4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 binary64)) #s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y))) (*.f64 (-.f64 y z) (/.f64 x y)))
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y)))
(if (<=.f64 y #s(literal -58000000000000002607970920282718208 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 4722366482869645/73786976294838206464 binary64)) (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -58000000000000002607970920282718208 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 4722366482869645/73786976294838206464 binary64)) (/.f64 (*.f64 #s(approx (- y z) (neg.f64 z)) x) y) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -58000000000000002607970920282718208 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 144999999999999997253771067392 binary64)) (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -58000000000000002607970920282718208 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 144999999999999997253771067392 binary64)) (*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -58000000000000002607970920282718208 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 144999999999999997253771067392 binary64)) #s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)

soundness2.1s (23.7%)

Memory
6.8MiB live, 606.0MiB allocated
Rules
27 104×lower-fma.f64
27 104×lower-fma.f32
11 530×lower-fma.f64
11 530×lower-fma.f32
5 414×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053585
1174465
2493465
31303465
42739465
54443465
65818465
76239465
86355465
96423465
107298465
117590465
08001465
0621953
11821803
24531803
311171803
426821803
543371803
655641803
759611803
861641803
962801803
1063061803
1166841803
1270041803
1370401803
1470401803
083241803
02297
037103
111794
272293
0843293
0615
0915
13515
222315
3230615
0906015
02673167
17872849
222512756
372652752
083322722
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 345 to 210 computations (39.1% saved)

preprocess200.0ms (2.2%)

Memory
-22.3MiB live, 255.5MiB allocated
Compiler

Compiled 370 to 160 computations (56.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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