Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, J

Time bar (total: 8.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (12.7%)

Memory
26.7MiB live, 930.5MiB allocated
Samples
841.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 475.0ms
ival-sub: 258.0ms (54.4% of total)
ival-mult: 203.0ms (42.8% of total)
ival-true: 6.0ms (1.3% of total)
exact: 5.0ms (1.1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain81.0ms (0.9%)

Memory
17.8MiB live, 180.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
110-0-(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-(*.f64 (-.f64 #s(literal 1 binary64) y) z)
00-0-y
00-0-#s(literal 1 binary64)
00-0-z
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))n*o110
Confusion
Predicted +Predicted -
+110
-0245
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1100
-00245
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0245
111
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 10.0ms (59.7% of total)
ival-sub: 6.0ms (35.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess212.0ms (2.5%)

Memory
-11.1MiB live, 120.1MiB allocated
Algorithm
egg-herbie
Rules
1 608×unsub-neg
1 232×lower-fma.f64
1 232×lower-fma.f32
788×distribute-lft-in
690×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03290
110582
228581
3117481
4272081
5411181
6451681
7471081
8479681
9482881
10487981
11487981
12487981
13497781
14500581
089
0129
1239
2529
31539
44429
59399
613279
716259
816589
916589
016588
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
Symmetry

(negabs x)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.8%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify40.0ms (0.5%)

Memory
-5.3MiB live, 33.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
Rules
1 232×lower-fma.f64
1 232×lower-fma.f32
496×lower-*.f32
492×lower-*.f64
440×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01228
12328
25228
315328
444228
593928
6132728
7162528
8165828
9165828
0165826
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
x
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
y
z
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
x
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
y
z

localize112.0ms (1.3%)

Memory
-13.9MiB live, 69.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy2.6590047076446424
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Samples
17.0ms256×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (66.3% of total)
ival-sub: 3.0ms (39.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())
#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 y))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (- 1 y)) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (- 1 y)) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (- 1 y)) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* z (- 1 y)))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (- 1 z) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (* y z)) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (* y z)) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (* y z)) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 (* y z))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 (* y z))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 (* y z))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* x z) (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* x z) (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* x z) (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 z) (/ z y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 z) (/ z y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 z) (/ z y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ z (* -1 (/ z y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ z (* -1 (/ z y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ z (* -1 (/ z y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify146.0ms (1.7%)

Memory
15.1MiB live, 171.3MiB allocated
Algorithm
egg-herbie
Rules
7 100×lower-fma.f64
7 100×lower-fma.f32
2 674×lower-*.f64
2 674×lower-*.f32
1 232×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074592
1234592
2627592
31396592
44039592
56285592
67489592
08044544
Stop Event
iter limit
node limit
Counts
96 → 94
Calls
Call 1
Inputs
1
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- y 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(- 1 z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
z
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* y z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* -1 (* y z))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* z (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(+ 1 (* z (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(+ 1 (* z (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
x
(+ x (* x (* z (- y 1))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(+ x (* x (* z (- y 1))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(+ x (* x (* z (- y 1))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(* z (- (+ y (/ 1 z)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* z (- (+ y (/ 1 z)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* z (- (+ y (/ 1 z)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* x (* z (- y 1)))
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* -1 (* z (- 1 y)))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* -1 (* x (* z (- 1 y))))
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 (* y z)) z)
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(- (+ 1 (* y z)) z)
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(- (+ 1 (* y z)) z)
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
z
(+ z (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(+ z (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(+ z (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* y z)
(*.f64 y z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* x (* y z))
(*.f64 (*.f64 x z) y)
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* y (+ (* -1 z) (/ z y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* y (+ (* -1 z) (/ z y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* y (+ (* -1 z) (/ z y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y z)
(*.f64 y z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* x (* y z))
(*.f64 (*.f64 x z) y)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y (+ z (* -1 (/ z y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* -1 (* y (+ z (* -1 (/ z y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* -1 (* y (+ z (* -1 (/ z y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)

rewrite241.0ms (2.8%)

Memory
-29.1MiB live, 337.0MiB allocated
Rules
4 326×lower-fma.f64
4 326×lower-fma.f32
3 522×lower-/.f64
3 522×lower-/.f32
3 346×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
14624
232824
3353824
0941422
Stop Event
iter limit
node limit
iter limit
Counts
4 → 445
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) #s(literal 1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))))))
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(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 z) (log1p.f64 y))))) (neg.f64 (expm1.f64 (+.f64 (log.f64 z) (log1p.f64 y)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 z) (log1p.f64 y))))) (neg.f64 (-.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))))
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(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -3 binary64)) (*.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -3 binary64)))) (+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))) (neg.f64 (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(neg.f64 (-.f64 y #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 y #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 #s(literal 1 binary64) y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 #s(literal 1 binary64) y)

eval67.0ms (0.8%)

Memory
9.9MiB live, 163.1MiB allocated
Compiler

Compiled 11 616 to 1 743 computations (85% saved)

prune15.0ms (0.2%)

Memory
13.9MiB live, 51.9MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New52910539
Fresh000
Picked101
Done000
Total53010540
Accuracy
100.0%
Counts
540 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
95.9%
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
71.5%
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
44.3%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) z) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 (neg.f64 y) z) #s(literal 2 binary64)) (*.f64 z (*.f64 (neg.f64 y) z)))))))
68.6%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
57.6%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
34.8%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
40.0%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
60.8%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
38.7%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
Compiler

Compiled 206 to 172 computations (16.5% saved)

simplify60.0ms (0.7%)

Memory
-1.9MiB live, 36.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
cost-diff0
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(*.f64 x (-.f64 y #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
cost-diff0
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
cost-diff0
(*.f64 x z)
cost-diff0
(*.f64 (*.f64 x z) y)
cost-diff0
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
cost-diff0
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
cost-diff0
(*.f64 z x)
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
Rules
1 280×lower-fma.f32
1 276×lower-fma.f64
544×lower-*.f32
530×lower-*.f64
324×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021122
033122
162122
2112120
3229120
4478120
5809120
61243120
71474120
81528120
91560120
101566120
111568120
121571120
131573120
01573118
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 z x)
z
x
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
x
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
(*.f64 (*.f64 x z) y)
(*.f64 x z)
x
z
y
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
z
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
z
x
Outputs
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
(*.f64 (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 z x)
(*.f64 x z)
z
x
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) x)
x
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
(*.f64 (*.f64 x z) y)
(*.f64 x z)
x
z
y
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) x))
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
(*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
z
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(*.f64 (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(*.f64 z (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
z
x

localize96.0ms (1.1%)

Memory
-8.1MiB live, 112.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0.01171875
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
accuracy2.6550984576446424
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0.0078125
(*.f64 x (-.f64 y #s(literal 1 binary64)))
accuracy1.4976167057262104
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
accuracy24.501703850951404
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
accuracy0
(*.f64 x z)
accuracy6.090252687085472
(*.f64 (*.f64 x z) y)
accuracy39.05990920681664
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
accuracy2.6590047076446424
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
accuracy38.681974820751584
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0
(*.f64 z x)
accuracy1.4418089694084144
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
Samples
84.0ms256×0valid
Compiler

Compiled 108 to 21 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 60.0ms (84.7% of total)
ival-sub: 8.0ms (11.3% of total)
ival-add: 2.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series34.0ms (0.4%)

Memory
13.1MiB live, 50.0MiB allocated
Counts
13 → 384
Calls
Call 1
Inputs
#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())
#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())
#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) z) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf z) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf z) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf z) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf z) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
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#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((+ (* (- y 1) (* z x)) x) (- y 1) (* z x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (* x z) y) (* x z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (+ (* (* (- y 1) z) x) x) (* (- y 1) z))
5.0ms
x
@-inf
((+ (* (- y 1) (* z x)) x) (- y 1) (* z x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (* x z) y) (* x z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (+ (* (* (- y 1) z) x) x) (* (- y 1) z))
3.0ms
z
@inf
((+ (* (- y 1) (* z x)) x) (- y 1) (* z x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (* x z) y) (* x z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (+ (* (* (- y 1) z) x) x) (* (- y 1) z))
2.0ms
z
@-inf
((+ (* (- y 1) (* z x)) x) (- y 1) (* z x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (* x z) y) (* x z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (+ (* (* (- y 1) z) x) x) (* (- y 1) z))
2.0ms
x
@0
((+ (* (- y 1) (* z x)) x) (- y 1) (* z x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (* x z) y) (* x z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (+ (* (* (- y 1) z) x) x) (* (- y 1) z))

simplify141.0ms (1.6%)

Memory
-18.5MiB live, 137.7MiB allocated
Algorithm
egg-herbie
Rules
10 046×lower-fma.f64
10 046×lower-fma.f32
2 806×lower-*.f64
2 806×lower-*.f32
2 240×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01082497
13632471
210532471
320712471
452332471
579132471
081052303
Stop Event
iter limit
node limit
Counts
384 → 377
Calls
Call 1
Inputs
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x z)
(* x z)
(* x z)
(* x z)
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
1
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- y 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
-1
(- y 1)
(- y 1)
(- y 1)
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(- 1 z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* -1 z)
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y z)
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* y z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* y z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
Outputs
x
(+ x (* x (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(+ x (* x (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(+ x (* x (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
x
(+ x (* x (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(+ x (* x (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(+ x (* x (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* z (- y 1)))
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(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
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(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* x (* y z))
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(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
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(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)

rewrite227.0ms (2.6%)

Memory
20.5MiB live, 232.8MiB allocated
Rules
8 278×lower-fma.f32
8 274×lower-fma.f64
4 826×lower-*.f32
4 812×lower-*.f64
2 990×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02199
03399
111899
269497
0859895
Stop Event
iter limit
node limit
iter limit
Counts
13 → 590
Calls
Call 1
Inputs
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
(-.f64 y #s(literal 1 binary64))
(*.f64 z x)
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
(*.f64 (*.f64 x z) y)
(*.f64 x z)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) z (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)))) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
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(*.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) x (neg.f64 x))) (*.f64 x (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) x (neg.f64 x)))) (*.f64 (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x))
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(/.f64 (pow.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))
(/.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) z)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(fma.f64 (neg.f64 z) (neg.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 y)))
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (neg.f64 z))
(fma.f64 (neg.f64 y) (neg.f64 z) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(fma.f64 #s(literal -1 binary64) z (*.f64 (*.f64 (neg.f64 y) z) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) z (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) z)))
(fma.f64 #s(literal -1 binary64) z (neg.f64 (*.f64 (neg.f64 y) z)))
(fma.f64 #s(literal -1 binary64) z (*.f64 z y))
(fma.f64 z #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) z) #s(literal -1 binary64)))
(fma.f64 z #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) z)))
(fma.f64 z #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 y) z)))
(fma.f64 z #s(literal -1 binary64) (*.f64 z y))
(fma.f64 z y (neg.f64 z))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 (neg.f64 y) (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (neg.f64 z))
(fma.f64 y z (neg.f64 z))
(-.f64 (neg.f64 z) (*.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(+.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (neg.f64 y) (neg.f64 z)))
(+.f64 (*.f64 (neg.f64 z) (neg.f64 y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (neg.f64 y)))
(+.f64 (neg.f64 z) (*.f64 (*.f64 (neg.f64 y) z) #s(literal -1 binary64)))
(+.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) z)))
(+.f64 (neg.f64 z) (neg.f64 (*.f64 (neg.f64 y) z)))
(+.f64 (neg.f64 z) (*.f64 z y))
(+.f64 (*.f64 z y) (neg.f64 z))
(+.f64 #s(literal 0 binary64) (*.f64 z (-.f64 y #s(literal 1 binary64))))

eval286.0ms (3.3%)

Memory
-13.8MiB live, 205.8MiB allocated
Compiler

Compiled 20 737 to 1 832 computations (91.2% saved)

prune130.0ms (1.5%)

Memory
-3.9MiB live, 85.3MiB allocated
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1 18471 191
Fresh325
Picked235
Done000
Total1 189121 201
Accuracy
100.0%
Counts
1 201 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
63.9%
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
72.2%
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
68.6%
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
55.4%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))
57.6%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
34.8%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
40.0%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
59.7%
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
38.7%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
38.1%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))
31.0%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
Compiler

Compiled 244 to 169 computations (30.7% saved)

simplify251.0ms (2.9%)

Memory
8.3MiB live, 164.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff320
(/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))
cost-diff320
(*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))
cost-diff640
(/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))
cost-diff1408
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
cost-diff0
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
cost-diff0
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) z)
cost-diff0
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (* x (- y 1)) (neg.f64 x))
cost-diff0
(*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)
cost-diff0
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
cost-diff0
(*.f64 y z)
cost-diff0
#s(approx (* (- y 1) z) (*.f64 y z))
cost-diff0
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
Rules
9 310×lower-fma.f32
9 306×lower-fma.f64
4 274×lower-*.f32
4 254×lower-*.f64
2 398×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034264
055264
1106264
2222262
3715251
44025234
08535223
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
#s(approx (* (- y 1) z) (*.f64 y z))
(*.f64 y z)
y
z
x
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)
#s(approx (* x (- y 1)) (neg.f64 x))
(neg.f64 x)
x
z
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
x
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
z
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z)
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
z
(/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))
(-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)
(neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))))
(*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))
(/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))
Outputs
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
(fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) x)
#s(approx (* (- y 1) z) (*.f64 y z))
#s(approx (* (- y 1) z) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
x
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)
#s(approx (* x (- y 1)) (neg.f64 x))
(neg.f64 x)
x
z
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) x)
x
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
z
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(*.f64 (/.f64 x (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) z) (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z)
(*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) z)
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
z
(/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))
(/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
(-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)) x)
(neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))))
(/.f64 (neg.f64 x) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
(*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))
(/.f64 x (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
(/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))

localize157.0ms (1.8%)

Memory
13.4MiB live, 119.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy3.409194278891312
(*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))
accuracy6.8581829073380325
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
accuracy8.6474861590509
(/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))
accuracy15.645933325626688
(/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0.01171875
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
accuracy2.6590047076446424
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
accuracy24.710126003299134
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
accuracy0
(*.f64 x y)
accuracy4.234587503537362
(*.f64 (*.f64 x y) z)
accuracy39.05990920681664
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))
accuracy0
(neg.f64 x)
accuracy1.4976167057262104
(*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)
accuracy24.501703850951404
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
accuracy30.014263339186726
#s(approx (* x (- y 1)) (neg.f64 x))
accuracy0
(*.f64 y z)
accuracy2.6550984576446424
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
accuracy33.049430159120995
#s(approx (* (- y 1) z) (*.f64 y z))
Samples
125.0ms256×0valid
Compiler

Compiled 225 to 28 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-mult: 97.0ms (88.7% of total)
ival-sub: 5.0ms (4.6% of total)
ival-div: 3.0ms (2.7% of total)
ival-add: 2.0ms (1.8% of total)
ival-neg: 2.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series238.0ms (2.8%)

Memory
13.5MiB live, 139.1MiB allocated
Counts
18 → 528
Calls
Call 1
Inputs
#s(alt (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) #<representation binary64>) () ())
#s(alt #s(approx (* (- y 1) z) (*.f64 y z)) (patch #s(approx (* (- y 1) z) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) (patch (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())
#s(alt #s(approx (* x (- y 1)) (neg.f64 x)) (patch #s(approx (* x (- y 1)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) z) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (patch (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))) (patch (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (patch (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 z) (#s(alt (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) (patch (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) (patch (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) (patch (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) (patch (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (* x (- y 1)) (neg.f64 x)) (patch #s(approx (* x (- y 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (* x (- y 1)) (neg.f64 x)) (patch #s(approx (* x (- y 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (* x (- y 1)) (neg.f64 x)) (patch #s(approx (* x (- y 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (* x (- y 1)) (neg.f64 x)) (patch #s(approx (* x (- y 1)) (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 (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) 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 (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (+ 1 (* -1 (* z (- y 1))))) (/ 1 (+ 1 (* -1 (* z (- y 1)))))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (+ 1 (* -1 (* z (- y 1))))) (/ 1 (+ 1 (* -1 (* z (- y 1)))))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (+ 1 (* -1 (* z (- y 1))))) (/ 1 (+ 1 (* -1 (* z (- y 1)))))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (+ 1 (* -1 (* z (- y 1))))) (/ 1 (+ 1 (* -1 (* z (- y 1)))))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- y 1) (+ 1 (* -1 (* z (- y 1)))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (patch (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- y 1) (+ 1 (* -1 (* z (- y 1)))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (patch (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- y 1) (+ 1 (* -1 (* z (- y 1)))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (patch (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- y 1) (+ 1 (* -1 (* z (- y 1)))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (patch (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (+ 1 (* -1 (* z (- y 1)))))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))) (patch (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (+ 1 (* -1 (* z (- y 1)))))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))) (patch (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (+ 1 (* -1 (* z (- y 1)))))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))) (patch (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (+ 1 (* -1 (* z (- y 1)))))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))) (patch (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (+ 1 (* -1 (* z (- y 1))))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (patch (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (+ 1 (* -1 (* z (- y 1))))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (patch (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (+ 1 (* -1 (* z (- y 1))))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (patch (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (+ 1 (* -1 (* z (- y 1))))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (patch (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
75.0ms
x
@0
((+ (* (* (- y 1) z) x) x) (* (- y 1) z) (* y z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (neg x) (* x (- 1 (* (- 1 y) z))) (* (* x y) z) (* x y) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (- y 1) (+ (* (* (* (* x (- y 1)) z) z) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x))) (neg (* x (/ x (- (* (* x (- y 1)) z) x))))) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x)) (* x (/ x (- (* (* x (- y 1)) z) x))) (/ x (- (* (* x (- y 1)) z) x)))
60.0ms
y
@0
((+ (* (* (- y 1) z) x) x) (* (- y 1) z) (* y z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (neg x) (* x (- 1 (* (- 1 y) z))) (* (* x y) z) (* x y) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (- y 1) (+ (* (* (* (* x (- y 1)) z) z) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x))) (neg (* x (/ x (- (* (* x (- y 1)) z) x))))) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x)) (* x (/ x (- (* (* x (- y 1)) z) x))) (/ x (- (* (* x (- y 1)) z) x)))
6.0ms
x
@-inf
((+ (* (* (- y 1) z) x) x) (* (- y 1) z) (* y z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (neg x) (* x (- 1 (* (- 1 y) z))) (* (* x y) z) (* x y) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (- y 1) (+ (* (* (* (* x (- y 1)) z) z) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x))) (neg (* x (/ x (- (* (* x (- y 1)) z) x))))) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x)) (* x (/ x (- (* (* x (- y 1)) z) x))) (/ x (- (* (* x (- y 1)) z) x)))
5.0ms
y
@inf
((+ (* (* (- y 1) z) x) x) (* (- y 1) z) (* y z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (neg x) (* x (- 1 (* (- 1 y) z))) (* (* x y) z) (* x y) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (- y 1) (+ (* (* (* (* x (- y 1)) z) z) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x))) (neg (* x (/ x (- (* (* x (- y 1)) z) x))))) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x)) (* x (/ x (- (* (* x (- y 1)) z) x))) (/ x (- (* (* x (- y 1)) z) x)))
4.0ms
y
@-inf
((+ (* (* (- y 1) z) x) x) (* (- y 1) z) (* y z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (neg x) (* x (- 1 (* (- 1 y) z))) (* (* x y) z) (* x y) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (- y 1) (+ (* (* (* (* x (- y 1)) z) z) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x))) (neg (* x (/ x (- (* (* x (- y 1)) z) x))))) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x)) (* x (/ x (- (* (* x (- y 1)) z) x))) (/ x (- (* (* x (- y 1)) z) x)))

simplify424.0ms (4.9%)

Memory
-0.7MiB live, 152.0MiB allocated
Algorithm
egg-herbie
Rules
6 472×lower-fma.f64
6 472×lower-fma.f32
5 080×lower-*.f64
5 080×lower-*.f32
3 416×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06326590
120436154
272816140
082865843
Stop Event
iter limit
node limit
Counts
528 → 521
Calls
Call 1
Inputs
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
1
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
x
(- (* x (* z (- y 1))) (* -1 x))
(- (* z (+ (* x (- y 1)) (* z (+ (* -1 (* x (pow (- y 1) 2))) (* x (pow (- y 1) 2)))))) (* -1 x))
(- (* z (+ (* x (- y 1)) (* z (+ (* -1 (* x (pow (- y 1) 2))) (* x (pow (- y 1) 2)))))) (* -1 x))
(* -1 (- y 1))
(+ (* -1 (* z (pow (- y 1) 2))) (* -1 (- y 1)))
(+ (* -1 (- y 1)) (* z (- (* -1 (* z (pow (- y 1) 3))) (pow (- y 1) 2))))
(+ (* -1 (- y 1)) (* z (- (* z (- (* -1 (* z (pow (- y 1) 4))) (pow (- y 1) 3))) (pow (- y 1) 2))))
(* -1 x)
(+ (* -1 x) (* -1 (* x (* z (- y 1)))))
(+ (* -1 x) (* z (- (* -1 (* x (* z (pow (- y 1) 2)))) (* x (- y 1)))))
(+ (* -1 x) (* z (- (* z (- (* -1 (* x (* z (pow (- y 1) 3)))) (* x (pow (- y 1) 2)))) (* x (- y 1)))))
-1
(- (* z (- 1 y)) 1)
(- (* z (- (+ 1 (* z (* (- 1 y) (- y 1)))) y)) 1)
(- (* z (- (+ 1 (* z (- (* z (* (- 1 y) (pow (- y 1) 2))) (* -1 (* (- 1 y) (- y 1)))))) y)) 1)
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* y z)
(* y z)
(* y z)
(* y z)
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
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(* x (- y 1))
(* x (- y 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
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(* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (- (* z (- y 1)) 1)) (/ 1 (- (* z (- y 1)) 1))))
(* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (- (* z (- y 1)) 1)) (/ 1 (- (* z (- y 1)) 1))))
(* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (- (* z (- y 1)) 1)) (/ 1 (- (* z (- y 1)) 1))))
(/ (- y 1) (- (* z (- y 1)) 1))
(/ (- y 1) (- (* z (- y 1)) 1))
(/ (- y 1) (- (* z (- y 1)) 1))
(/ (- y 1) (- (* z (- y 1)) 1))
(/ x (- (* z (- y 1)) 1))
(/ x (- (* z (- y 1)) 1))
(/ x (- (* z (- y 1)) 1))
(/ x (- (* z (- y 1)) 1))
(/ 1 (- (* z (- y 1)) 1))
(/ 1 (- (* z (- y 1)) 1))
(/ 1 (- (* z (- y 1)) 1))
(/ 1 (- (* z (- y 1)) 1))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (- y 1))
(* x (- y 1))
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(* x (- y 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* -1 (* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (+ 1 (* -1 (* z (- y 1))))) (/ 1 (+ 1 (* -1 (* z (- y 1))))))))
(* -1 (* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (+ 1 (* -1 (* z (- y 1))))) (/ 1 (+ 1 (* -1 (* z (- y 1))))))))
(* -1 (* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (+ 1 (* -1 (* z (- y 1))))) (/ 1 (+ 1 (* -1 (* z (- y 1))))))))
(* -1 (* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (+ 1 (* -1 (* z (- y 1))))) (/ 1 (+ 1 (* -1 (* z (- y 1))))))))
(* -1 (/ (- y 1) (+ 1 (* -1 (* z (- y 1))))))
(* -1 (/ (- y 1) (+ 1 (* -1 (* z (- y 1))))))
(* -1 (/ (- y 1) (+ 1 (* -1 (* z (- y 1))))))
(* -1 (/ (- y 1) (+ 1 (* -1 (* z (- y 1))))))
(* -1 (/ x (+ 1 (* -1 (* z (- y 1))))))
(* -1 (/ x (+ 1 (* -1 (* z (- y 1))))))
(* -1 (/ x (+ 1 (* -1 (* z (- y 1))))))
(* -1 (/ x (+ 1 (* -1 (* z (- y 1))))))
(/ -1 (+ 1 (* -1 (* z (- y 1)))))
(/ -1 (+ 1 (* -1 (* z (- y 1)))))
(/ -1 (+ 1 (* -1 (* z (- y 1)))))
(/ -1 (+ 1 (* -1 (* z (- y 1)))))
Outputs
x
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(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
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(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
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(* y z)
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x
(+ x (* x (* z (- y 1))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(+ x (* x (* z (- y 1))))
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(+ x (* x (* z (- y 1))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
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(* x (* z (- y 1)))
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x
(+ x (* x (* z (- y 1))))
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1
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(* -1 x)
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-1
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(*.f64 (+.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (/.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 x z)) z)
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(/ 1 z)
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(/ (+ 1 (/ 1 (* z (- y 1)))) z)
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(* x (- 1 (* z (- 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) 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))
(*.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 (- 1 (* z (- 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x)
(* -1 (* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (+ 1 (* -1 (* z (- y 1))))) (/ 1 (+ 1 (* -1 (* z (- y 1))))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (*.f64 z z) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))) (neg.f64 x))
(* -1 (* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (+ 1 (* -1 (* z (- y 1))))) (/ 1 (+ 1 (* -1 (* z (- y 1))))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (*.f64 z z) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))) (neg.f64 x))
(* -1 (* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (+ 1 (* -1 (* z (- y 1))))) (/ 1 (+ 1 (* -1 (* z (- y 1))))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (*.f64 z z) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))) (neg.f64 x))
(* -1 (* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (+ 1 (* -1 (* z (- y 1))))) (/ 1 (+ 1 (* -1 (* z (- y 1))))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (*.f64 z z) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))) (neg.f64 x))
(* -1 (/ (- y 1) (+ 1 (* -1 (* z (- y 1))))))
(/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(* -1 (/ (- y 1) (+ 1 (* -1 (* z (- y 1))))))
(/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(* -1 (/ (- y 1) (+ 1 (* -1 (* z (- y 1))))))
(/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(* -1 (/ (- y 1) (+ 1 (* -1 (* z (- y 1))))))
(/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(* -1 (/ x (+ 1 (* -1 (* z (- y 1))))))
(/.f64 (neg.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(* -1 (/ x (+ 1 (* -1 (* z (- y 1))))))
(/.f64 (neg.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(* -1 (/ x (+ 1 (* -1 (* z (- y 1))))))
(/.f64 (neg.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(* -1 (/ x (+ 1 (* -1 (* z (- y 1))))))
(/.f64 (neg.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(/ -1 (+ 1 (* -1 (* z (- y 1)))))
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(/ -1 (+ 1 (* -1 (* z (- y 1)))))
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(/ -1 (+ 1 (* -1 (* z (- y 1)))))
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(/ -1 (+ 1 (* -1 (* z (- y 1)))))
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))

rewrite281.0ms (3.3%)

Memory
-1.2MiB live, 326.6MiB allocated
Rules
5 076×lower-fma.f32
5 072×lower-fma.f64
4 534×lower-/.f32
4 530×lower-/.f64
3 674×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034201
055201
1181171
21279171
08595166
Stop Event
iter limit
node limit
iter limit
Counts
18 → 569
Calls
Call 1
Inputs
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
#s(approx (* (- y 1) z) (*.f64 y z))
(*.f64 y z)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)
#s(approx (* x (- y 1)) (neg.f64 x))
(neg.f64 x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(-.f64 y #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))
(*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))
(/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))
Outputs
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y)))) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) (*.f64 x x))))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y)))) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (/.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))))) (+.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (/.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y)))) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (*.f64 (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64))) (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y)))) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y)))) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y)))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))))
(fma.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))))
(fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))))
(fma.f64 #s(approx (* (- y 1) z) (*.f64 z y)) x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))))) (/.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(literal 2 binary64)) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))))
(+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x)
(+.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))))
(*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(literal 1 binary64))
#s(approx (* (- y 1) z) (*.f64 z y))
(*.f64 z y)
(*.f64 y z)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)
(*.f64 z #s(approx (* x (- y 1)) (neg.f64 x)))
#s(approx (* x (- y 1)) (neg.f64 x))
(*.f64 (neg.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
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(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z (neg.f64 x)) x)) #s(literal -1 binary64)))
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eval416.0ms (4.8%)

Memory
4.5MiB live, 427.0MiB allocated
Compiler

Compiled 48 681 to 3 559 computations (92.7% saved)

prune52.0ms (0.6%)

Memory
-18.4MiB live, 121.9MiB allocated
Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New1 40021 402
Fresh044
Picked145
Done123
Total1 402121 414
Accuracy
100.0%
Counts
1 414 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x))))
72.2%
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
68.6%
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
72.2%
(+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x)
55.4%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))
57.6%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
34.8%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
40.0%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
59.7%
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
38.7%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
38.1%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))
31.0%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
Compiler

Compiled 205 to 149 computations (27.3% saved)

simplify113.0ms (1.3%)

Memory
11.6MiB live, 204.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z)
cost-diff0
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x))))
cost-diff128
(-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)
cost-diff320
(/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
cost-diff0
(*.f64 x z)
cost-diff0
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
cost-diff1088
(/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
cost-diff0
(*.f64 y z)
cost-diff0
#s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))
cost-diff0
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (* (- y 1) z) (neg.f64 z))
cost-diff0
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (* (- y 1) z) (*.f64 z y))
cost-diff0
(*.f64 x #s(approx (* (- y 1) z) (*.f64 z y)))
cost-diff128
(+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x)
Rules
8 738×lower-fma.f32
8 734×lower-fma.f64
3 960×lower-*.f32
3 944×lower-*.f64
1 692×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039264
061266
1114260
2227260
3830260
43942250
08176240
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x)
(*.f64 x #s(approx (* (- y 1) z) (*.f64 z y)))
x
#s(approx (* (- y 1) z) (*.f64 z y))
(*.f64 z y)
z
y
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
#s(approx (* (- y 1) z) (neg.f64 z))
(neg.f64 z)
z
x
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
x
#s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))
(*.f64 y z)
y
z
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 x z)
x
z
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 y #s(literal 1 binary64))
y
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x))))
(*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z)
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
z
(/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))
(-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)
(neg.f64 #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x)))
#s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x))
(neg.f64 x)
Outputs
(+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x)
(fma.f64 #s(approx (* (- y 1) z) (*.f64 z y)) x x)
(*.f64 x #s(approx (* (- y 1) z) (*.f64 z y)))
(*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) x)
x
#s(approx (* (- y 1) z) (*.f64 z y))
(*.f64 z y)
z
y
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
#s(approx (* (- y 1) z) (neg.f64 z))
(neg.f64 z)
z
x
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) x)
x
#s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z))
(/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(*.f64 x z)
(*.f64 z x)
x
z
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))
#s(literal 1 binary64)
(-.f64 y #s(literal 1 binary64))
y
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x))))
(neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x) z) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x))))
(*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z)
(*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) z)
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
z
(/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))
(-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)) x)
(neg.f64 #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x)))
#s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x))
(neg.f64 x)

localize293.0ms (3.4%)

Memory
-3.0MiB live, 184.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy1.4976167057262104
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
accuracy6.8581829073380325
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x))))
accuracy15.645933325626688
(/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))
accuracy38.23832304240113
#s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x))
accuracy0
(*.f64 x z)
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
accuracy3.012450109847015
(/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
accuracy24.501703850951404
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
accuracy0
(*.f64 y z)
accuracy2.6590047076446424
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
accuracy40.12540313857817
#s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))
accuracy0
(neg.f64 z)
accuracy2.6550984576446424
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
accuracy29.970160574480495
#s(approx (* (- y 1) z) (neg.f64 z))
accuracy0
(*.f64 z y)
accuracy0.00390625
(+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x)
accuracy2.7136922076446424
(*.f64 x #s(approx (* (- y 1) z) (*.f64 z y)))
accuracy33.049430159120995
#s(approx (* (- y 1) z) (*.f64 z y))
Samples
255.0ms256×0valid
Compiler

Compiled 223 to 33 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 211.0ms
ival-sub: 150.0ms (71% of total)
ival-mult: 38.0ms (18% of total)
ival-div: 16.0ms (7.6% of total)
ival-add: 3.0ms (1.4% of total)
ival-neg: 3.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series830.0ms (9.6%)

Memory
6.2MiB live, 169.0MiB allocated
Counts
20 → 600
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x) (patch (+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) (patch (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #<representation binary64>) () ())
#s(alt #s(approx (* (- y 1) z) (*.f64 z y)) (patch #s(approx (* (- y 1) z) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #<representation binary64>) () ())
#s(alt #s(approx (* (- y 1) z) (neg.f64 z)) (patch #s(approx (* (- y 1) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)) (patch #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (patch (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x) (patch (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x)))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (patch (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) #<representation binary64>) () ())
#s(alt #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x)) (patch #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 z) (#s(alt (+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x) (patch (+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x) (patch (+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x) (patch (+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x) (patch (+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) (patch (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) (patch (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) (patch (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) (patch (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt #s(approx (* (- y 1) z) (*.f64 z y)) (patch #s(approx (* (- y 1) z) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt #s(approx (* (- y 1) z) (*.f64 z y)) (patch #s(approx (* (- y 1) z) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt #s(approx (* (- y 1) z) (*.f64 z y)) (patch #s(approx (* (- y 1) z) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt #s(approx (* (- y 1) z) (*.f64 z y)) (patch #s(approx (* (- y 1) z) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt #s(approx (* (- y 1) z) (neg.f64 z)) (patch #s(approx (* (- y 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt #s(approx (* (- y 1) z) (neg.f64 z)) (patch #s(approx (* (- y 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt #s(approx (* (- y 1) z) (neg.f64 z)) (patch #s(approx (* (- y 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt #s(approx (* (- y 1) z) (neg.f64 z)) (patch #s(approx (* (- y 1) 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>) () ())) ())
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#s(alt (* -1 (/ x (+ 1 (* -1 (* z (- y 1)))))) (taylor -inf x) (#s(alt #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x)) (patch #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (+ 1 (* -1 (* z (- y 1)))))) (taylor -inf x) (#s(alt #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x)) (patch #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
400.0ms
y
@-inf
((+ (* x (* (- y 1) z)) x) (* x (* (- y 1) z)) (* (- y 1) z) (* z y) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (neg z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* y z) (/ (* x z) (/ 1 (- y 1))) (* x (- 1 (* (- 1 y) z))) (* x z) (/ 1 (- y 1)) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x)) (- (* (* x (- y 1)) z) x) (+ (* (* (* (* x (- y 1)) z) z) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x))) (neg (* x (/ x (- (* (* x (- y 1)) z) x))))) (* (* (* x (- y 1)) z) z) (* x (/ x (- (* (* x (- y 1)) z) x))) (* (* x (- y 1)) z))
393.0ms
x
@-inf
((+ (* x (* (- y 1) z)) x) (* x (* (- y 1) z)) (* (- y 1) z) (* z y) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (neg z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* y z) (/ (* x z) (/ 1 (- y 1))) (* x (- 1 (* (- 1 y) z))) (* x z) (/ 1 (- y 1)) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x)) (- (* (* x (- y 1)) z) x) (+ (* (* (* (* x (- y 1)) z) z) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x))) (neg (* x (/ x (- (* (* x (- y 1)) z) x))))) (* (* (* x (- y 1)) z) z) (* x (/ x (- (* (* x (- y 1)) z) x))) (* (* x (- y 1)) z))
3.0ms
x
@inf
((+ (* x (* (- y 1) z)) x) (* x (* (- y 1) z)) (* (- y 1) z) (* z y) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (neg z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* y z) (/ (* x z) (/ 1 (- y 1))) (* x (- 1 (* (- 1 y) z))) (* x z) (/ 1 (- y 1)) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x)) (- (* (* x (- y 1)) z) x) (+ (* (* (* (* x (- y 1)) z) z) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x))) (neg (* x (/ x (- (* (* x (- y 1)) z) x))))) (* (* (* x (- y 1)) z) z) (* x (/ x (- (* (* x (- y 1)) z) x))) (* (* x (- y 1)) z))
3.0ms
x
@0
((+ (* x (* (- y 1) z)) x) (* x (* (- y 1) z)) (* (- y 1) z) (* z y) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (neg z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* y z) (/ (* x z) (/ 1 (- y 1))) (* x (- 1 (* (- 1 y) z))) (* x z) (/ 1 (- y 1)) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x)) (- (* (* x (- y 1)) z) x) (+ (* (* (* (* x (- y 1)) z) z) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x))) (neg (* x (/ x (- (* (* x (- y 1)) z) x))))) (* (* (* x (- y 1)) z) z) (* x (/ x (- (* (* x (- y 1)) z) x))) (* (* x (- y 1)) z))
3.0ms
z
@-inf
((+ (* x (* (- y 1) z)) x) (* x (* (- y 1) z)) (* (- y 1) z) (* z y) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (neg z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* y z) (/ (* x z) (/ 1 (- y 1))) (* x (- 1 (* (- 1 y) z))) (* x z) (/ 1 (- y 1)) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x)) (- (* (* x (- y 1)) z) x) (+ (* (* (* (* x (- y 1)) z) z) (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x))) (neg (* x (/ x (- (* (* x (- y 1)) z) x))))) (* (* (* x (- y 1)) z) z) (* x (/ x (- (* (* x (- y 1)) z) x))) (* (* x (- y 1)) z))

simplify209.0ms (2.4%)

Memory
-29.0MiB live, 343.7MiB allocated
Algorithm
egg-herbie
Rules
6 948×lower-fma.f64
6 948×lower-fma.f32
4 544×lower-*.f64
4 544×lower-*.f32
3 468×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05726750
118456451
264236300
083535957
Stop Event
iter limit
node limit
Counts
600 → 595
Calls
Call 1
Inputs
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
1
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(* y z)
(* y z)
(* y z)
(* y z)
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (- y 1))
(+ (* -1 (* z (pow (- y 1) 2))) (* -1 (- y 1)))
(+ (* -1 (- y 1)) (* z (- (* -1 (* z (pow (- y 1) 3))) (pow (- y 1) 2))))
(+ (* -1 (- y 1)) (* z (- (* z (- (* -1 (* z (pow (- y 1) 4))) (pow (- y 1) 3))) (pow (- y 1) 2))))
(* -1 x)
(- (* x (* z (- y 1))) x)
(- (* x (* z (- y 1))) x)
(- (* x (* z (- y 1))) x)
x
(- (* x (* z (- y 1))) (* -1 x))
(- (* z (+ (* x (- y 1)) (* z (+ (* -1 (* x (pow (- y 1) 2))) (* x (pow (- y 1) 2)))))) (* -1 x))
(- (* z (+ (* x (- y 1)) (* z (+ (* -1 (* x (pow (- y 1) 2))) (* x (pow (- y 1) 2)))))) (* -1 x))
(* x (* (pow z 2) (- y 1)))
(* x (* (pow z 2) (- y 1)))
(* x (* (pow z 2) (- y 1)))
(* x (* (pow z 2) (- y 1)))
(* -1 x)
(+ (* -1 x) (* -1 (* x (* z (- y 1)))))
(+ (* -1 x) (* z (- (* -1 (* x (* z (pow (- y 1) 2)))) (* x (- y 1)))))
(+ (* -1 x) (* z (- (* z (- (* -1 (* x (* z (pow (- y 1) 3)))) (* x (pow (- y 1) 2)))) (* x (- y 1)))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
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(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* y z)
(* y z)
(* y z)
(* y z)
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
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(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- y 1))
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(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* y z)
(* y z)
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(* y z)
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x z)
(* x z)
(* x z)
(* x z)
(/ 1 z)
(/ (+ 1 (/ 1 (* z (- y 1)))) z)
(/ (+ 1 (+ (/ 1 (* z (- y 1))) (/ 1 (* (pow z 2) (pow (- y 1) 2))))) z)
(/ (+ 1 (+ (/ 1 (* z (- y 1))) (+ (/ 1 (* (pow z 2) (pow (- y 1) 2))) (/ 1 (* (pow z 3) (pow (- y 1) 3)))))) z)
(* x (* z (- y 1)))
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(* z (+ (* -1 (/ x z)) (* x (- y 1))))
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(* z (- (+ (* -1 (/ (+ (* -1 (/ x (- y 1))) (/ x (- y 1))) (pow z 2))) (* x (- y 1))) (* -1 (/ x z))))
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(* x (* (pow z 2) (- y 1)))
(* x (* (pow z 2) (- y 1)))
(* x (* (pow z 2) (- y 1)))
(* x (* (pow z 2) (- y 1)))
(/ x (* z (- y 1)))
(/ (+ (/ x (* z (pow (- y 1) 2))) (/ x (- y 1))) z)
(/ (- (+ (/ x (* (pow z 2) (pow (- y 1) 3))) (/ x (- y 1))) (* -1 (/ x (* z (pow (- y 1) 2))))) z)
(/ (- (+ (/ x (* (pow z 3) (pow (- y 1) 4))) (/ x (- y 1))) (+ (* -1 (/ x (* z (pow (- y 1) 2)))) (* -1 (/ x (* (pow z 2) (pow (- y 1) 3)))))) z)
(* x (* z (- y 1)))
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(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
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(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
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(* z (- y 1))
(* z (- y 1))
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(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* z (- y 1))
(* z (- y 1))
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(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
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(* -1 (* z (- 1 y)))
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(* z (+ (* -1 (- 1 y)) (/ 1 z)))
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(* x (* z (- y 1)))
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(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* x z)
(* x z)
(* x z)
(* x z)
(/ 1 z)
(/ (+ 1 (/ 1 (* z (- y 1)))) z)
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* z (pow (- y 1) 2))) (/ 1 (- y 1))) z)) 1) z))
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* z (pow (- y 1) 2))) (+ (/ 1 (* (pow z 2) (pow (- y 1) 3))) (/ 1 (- y 1)))) z)) 1) z))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (/ x z))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (/ x z))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (/ x z))))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ (- (+ (* -1 (/ x (* z (- y 1)))) (/ x (* z (- y 1)))) (* -1 x)) z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ (- (+ (* -1 (/ x (* z (- y 1)))) (/ x (* z (- y 1)))) (* -1 x)) z)))))
(* x (* (pow z 2) (- y 1)))
(* x (* (pow z 2) (- y 1)))
(* x (* (pow z 2) (- y 1)))
(* x (* (pow z 2) (- y 1)))
(/ x (* z (- y 1)))
(* -1 (/ (+ (* -1 (/ x (* z (pow (- y 1) 2)))) (* -1 (/ x (- y 1)))) z))
(* -1 (/ (+ (* -1 (/ x (- y 1))) (* -1 (/ (- (/ x (* z (pow (- y 1) 3))) (* -1 (/ x (pow (- y 1) 2)))) z))) z))
(* -1 (/ (+ (* -1 (/ x (- y 1))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (* z (pow (- y 1) 4)))) (/ x (pow (- y 1) 3))) z)) (* -1 (/ x (pow (- y 1) 2)))) z))) z))
(* x (* z (- y 1)))
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(* -1 z)
(+ (* -1 z) (* y z))
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(+ (* -1 z) (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
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(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* -1 z)
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(* x (- 1 z))
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(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(- 1 z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
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(* y z)
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(* -1 (* x z))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
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(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
-1
(- (* -1 y) 1)
(- (* y (- (* -1 y) 1)) 1)
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1)
(* -1 (/ x (- (* -1 (* x z)) x)))
(+ (* -1 (/ x (- (* -1 (* x z)) x))) (* y (- (/ x (- (* -1 (* x z)) x)) (* -1 (/ (* (pow x 2) z) (pow (- (* -1 (* x z)) x) 2))))))
(+ (* -1 (/ x (- (* -1 (* x z)) x))) (* y (- (+ (* -1 (/ (* x (* y (* z (- (/ x (- (* -1 (* x z)) x)) (* -1 (/ (* (pow x 2) z) (pow (- (* -1 (* x z)) x) 2))))))) (- (* -1 (* x z)) x))) (/ x (- (* -1 (* x z)) x))) (* -1 (/ (* (pow x 2) z) (pow (- (* -1 (* x z)) x) 2))))))
(+ (* -1 (/ x (- (* -1 (* x z)) x))) (* y (- (+ (* y (- (/ (* (pow x 2) (* y (* (pow z 2) (- (/ x (- (* -1 (* x z)) x)) (* -1 (/ (* (pow x 2) z) (pow (- (* -1 (* x z)) x) 2))))))) (pow (- (* -1 (* x z)) x) 2)) (/ (* x (* z (- (/ x (- (* -1 (* x z)) x)) (* -1 (/ (* (pow x 2) z) (pow (- (* -1 (* x z)) x) 2)))))) (- (* -1 (* x z)) x)))) (/ x (- (* -1 (* x z)) x))) (* -1 (/ (* (pow x 2) z) (pow (- (* -1 (* x z)) x) 2))))))
(- (* -1 (* x z)) x)
(- (+ (* -1 (* x z)) (* x (* y z))) x)
(- (+ (* -1 (* x z)) (* x (* y z))) x)
(- (+ (* -1 (* x z)) (* x (* y z))) x)
(- (/ (* (pow x 2) (pow z 2)) (- (* -1 (* x z)) x)) (/ (pow x 2) (- (* -1 (* x z)) x)))
(- (+ (* y (- (+ (* -2 (/ (* (pow x 2) (pow z 2)) (- (* -1 (* x z)) x))) (/ (* (pow x 3) z) (pow (- (* -1 (* x z)) x) 2))) (/ (* (pow x 3) (pow z 3)) (pow (- (* -1 (* x z)) x) 2)))) (/ (* (pow x 2) (pow z 2)) (- (* -1 (* x z)) x))) (/ (pow x 2) (- (* -1 (* x z)) x)))
(- (+ (* y (- (+ (* -2 (/ (* (pow x 2) (pow z 2)) (- (* -1 (* x z)) x))) (+ (* y (- (+ (* -1 (/ (* (pow x 4) (pow z 2)) (pow (- (* -1 (* x z)) x) 3))) (/ (* (pow x 2) (pow z 2)) (- (* -1 (* x z)) x))) (/ (* x (* z (- (* -2 (/ (* (pow x 2) (pow z 2)) (- (* -1 (* x z)) x))) (/ (* (pow x 3) (pow z 3)) (pow (- (* -1 (* x z)) x) 2))))) (- (* -1 (* x z)) x)))) (/ (* (pow x 3) z) (pow (- (* -1 (* x z)) x) 2)))) (/ (* (pow x 3) (pow z 3)) (pow (- (* -1 (* x z)) x) 2)))) (/ (* (pow x 2) (pow z 2)) (- (* -1 (* x z)) x))) (/ (pow x 2) (- (* -1 (* x z)) x)))
(- (+ (* y (- (+ (* -2 (/ (* (pow x 2) (pow z 2)) (- (* -1 (* x z)) x))) (+ (* y (- (+ (* -1 (/ (* (pow x 4) (pow z 2)) (pow (- (* -1 (* x z)) x) 3))) (+ (* y (- (/ (* (pow x 5) (pow z 3)) (pow (- (* -1 (* x z)) x) 4)) (/ (* x (* z (- (/ (* (pow x 2) (pow z 2)) (- (* -1 (* x z)) x)) (/ (* x (* z (- (* -2 (/ (* (pow x 2) (pow z 2)) (- (* -1 (* x z)) x))) (/ (* (pow x 3) (pow z 3)) (pow (- (* -1 (* x z)) x) 2))))) (- (* -1 (* x z)) x))))) (- (* -1 (* x z)) x)))) (/ (* (pow x 2) (pow z 2)) (- (* -1 (* x z)) x)))) (/ (* x (* z (- (* -2 (/ (* (pow x 2) (pow z 2)) (- (* -1 (* x z)) x))) (/ (* (pow x 3) (pow z 3)) (pow (- (* -1 (* x z)) x) 2))))) (- (* -1 (* x z)) x)))) (/ (* (pow x 3) z) (pow (- (* -1 (* x z)) x) 2)))) (/ (* (pow x 3) (pow z 3)) (pow (- (* -1 (* x z)) x) 2)))) (/ (* (pow x 2) (pow z 2)) (- (* -1 (* x z)) x))) (/ (pow x 2) (- (* -1 (* x z)) x)))
(* -1 (* x (pow z 2)))
(+ (* -1 (* x (pow z 2))) (* x (* y (pow z 2))))
(+ (* -1 (* x (pow z 2))) (* x (* y (pow z 2))))
(+ (* -1 (* x (pow z 2))) (* x (* y (pow z 2))))
(/ (pow x 2) (- (* -1 (* x z)) x))
(+ (* -1 (/ (* (pow x 3) (* y z)) (pow (- (* -1 (* x z)) x) 2))) (/ (pow x 2) (- (* -1 (* x z)) x)))
(+ (* y (- (/ (* (pow x 4) (* y (pow z 2))) (pow (- (* -1 (* x z)) x) 3)) (/ (* (pow x 3) z) (pow (- (* -1 (* x z)) x) 2)))) (/ (pow x 2) (- (* -1 (* x z)) x)))
(+ (* y (- (* y (- (* -1 (/ (* (pow x 5) (* y (pow z 3))) (pow (- (* -1 (* x z)) x) 4))) (* -1 (/ (* (pow x 4) (pow z 2)) (pow (- (* -1 (* x z)) x) 3))))) (/ (* (pow x 3) z) (pow (- (* -1 (* x z)) x) 2)))) (/ (pow x 2) (- (* -1 (* x z)) x)))
(* -1 (* x z))
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(+ (* -1 (* x z)) (* x (* y z)))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
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(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
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(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
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(* y (+ (* x z) (/ (* x (- 1 z)) y)))
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(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
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(* y z)
(* y z)
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(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* x (* y z))
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(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(/ 1 y)
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(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)
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Outputs
x
(+ x (* x (* z (- y 1))))
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(+ x (* x (* z (- y 1))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
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1
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(* -1 x)
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(* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (- (* z (- y 1)) 1)) (/ 1 (- (* z (- y 1)) 1))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64))) (*.f64 z z) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))) x)
(* x (* (pow z 2) (- y 1)))
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(* x (* (pow z 2) (- y 1)))
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(* x (* (pow z 2) (- y 1)))
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(* x (* (pow z 2) (- y 1)))
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(/ x (- (* z (- y 1)) 1))
(/.f64 x (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
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(/.f64 x (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
(/ x (- (* z (- y 1)) 1))
(/.f64 x (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
(/ x (- (* z (- y 1)) 1))
(/.f64 x (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
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(* x (* z (- y 1)))
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(* x (* z (- y 1)))
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(* x (+ 1 (* z (- y 1))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (* z (- y 1)))
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(* x (* z (- y 1)))
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(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
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(* x (+ 1 (* z (- y 1))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (- 1 (* z (- 1 y))))
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(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
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(* x z)
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(/ (- y 1) (- (* z (- y 1)) 1))
(/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
(/ (- y 1) (- (* z (- y 1)) 1))
(/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
(/ (- y 1) (- (* z (- y 1)) 1))
(/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
(/ (- y 1) (- (* z (- y 1)) 1))
(/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
(* x (- (* z (- y 1)) 1))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)) x)
(* x (- (* z (- y 1)) 1))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)) x)
(* x (- (* z (- y 1)) 1))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)) x)
(* x (- (* z (- y 1)) 1))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)) x)
(* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (- (* z (- y 1)) 1)) (/ 1 (- (* z (- y 1)) 1))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64))) (*.f64 z z) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))) x)
(* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (- (* z (- y 1)) 1)) (/ 1 (- (* z (- y 1)) 1))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64))) (*.f64 z z) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))) x)
(* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (- (* z (- y 1)) 1)) (/ 1 (- (* z (- y 1)) 1))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64))) (*.f64 z z) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))) x)
(* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (- (* z (- y 1)) 1)) (/ 1 (- (* z (- y 1)) 1))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64))) (*.f64 z z) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))) x)
(* x (* (pow z 2) (- y 1)))
(*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) z) x)
(* x (* (pow z 2) (- y 1)))
(*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) z) x)
(* x (* (pow z 2) (- y 1)))
(*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) z) x)
(* x (* (pow z 2) (- y 1)))
(*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) z) x)
(/ x (- (* z (- y 1)) 1))
(/.f64 x (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
(/ x (- (* z (- y 1)) 1))
(/.f64 x (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
(/ x (- (* z (- y 1)) 1))
(/.f64 x (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
(/ x (- (* z (- y 1)) 1))
(/.f64 x (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* -1 (/ (- y 1) (+ 1 (* -1 (* z (- y 1))))))
(/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(* -1 (/ (- y 1) (+ 1 (* -1 (* z (- y 1))))))
(/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(* -1 (/ (- y 1) (+ 1 (* -1 (* z (- y 1))))))
(/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(* -1 (/ (- y 1) (+ 1 (* -1 (* z (- y 1))))))
(/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(* -1 (* x (+ 1 (* -1 (* z (- y 1))))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)) x)
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)) x)
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (* z (- y 1))))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)) x)
(* -1 (* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (+ 1 (* -1 (* z (- y 1))))) (/ 1 (+ 1 (* -1 (* z (- y 1))))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (*.f64 z z) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))) (neg.f64 x))
(* -1 (* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (+ 1 (* -1 (* z (- y 1))))) (/ 1 (+ 1 (* -1 (* z (- y 1))))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (*.f64 z z) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))) (neg.f64 x))
(* -1 (* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (+ 1 (* -1 (* z (- y 1))))) (/ 1 (+ 1 (* -1 (* z (- y 1))))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (*.f64 z z) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))) (neg.f64 x))
(* -1 (* x (- (/ (* (pow z 2) (pow (- y 1) 2)) (+ 1 (* -1 (* z (- y 1))))) (/ 1 (+ 1 (* -1 (* z (- y 1))))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (*.f64 z z) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))) (neg.f64 x))
(* x (* (pow z 2) (- y 1)))
(*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) z) x)
(* x (* (pow z 2) (- y 1)))
(*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) z) x)
(* x (* (pow z 2) (- y 1)))
(*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) z) x)
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(*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) z) x)
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(/.f64 (neg.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
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(/.f64 (neg.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
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(/.f64 (neg.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
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(/.f64 (neg.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)

rewrite228.0ms (2.7%)

Memory
39.6MiB live, 350.5MiB allocated
Rules
6 142×lower-fma.f32
6 138×lower-fma.f64
4 710×lower-/.f32
4 704×lower-/.f64
4 272×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039218
061220
1212208
21505208
08280204
Stop Event
iter limit
node limit
iter limit
Counts
20 → 650
Calls
Call 1
Inputs
(+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x)
(*.f64 x #s(approx (* (- y 1) z) (*.f64 z y)))
#s(approx (* (- y 1) z) (*.f64 z y))
(*.f64 z y)
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
#s(approx (* (- y 1) z) (neg.f64 z))
(neg.f64 z)
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
#s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))
(*.f64 y z)
(/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(*.f64 x z)
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))
(-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x))))
(*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z)
#s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x))
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
Outputs
(*.f64 (+.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) x) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (* (- y 1) z) (*.f64 z y)) x (neg.f64 x)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) x)) (pow.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) x) #s(literal 2 binary64))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (-.f64 (*.f64 (*.f64 (*.f64 z x) #s(literal -1 binary64)) (*.f64 (*.f64 z x) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) z))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (-.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 z x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 z x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 z x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) z))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) z)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 z x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 z x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 x) z) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) #s(literal 1 binary64))
(/.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 z x) #s(literal -1 binary64)))
(/.f64 (*.f64 z x) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (*.f64 (*.f64 z x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 z x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) #s(literal -1 binary64)))
(/.f64 x (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) z))
(neg.f64 (*.f64 (*.f64 z x) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 z x) y (*.f64 (*.f64 z x) #s(literal -1 binary64)))
(fma.f64 y (*.f64 z x) (*.f64 (neg.f64 x) z))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (*.f64 (*.f64 z x) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (*.f64 y (*.f64 z x)) (*.f64 z x))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z x) (-.f64 #s(literal 1 binary64) y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 y (*.f64 z x)) (*.f64 (neg.f64 x) z))
(+.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) #s(literal -1 binary64)))

eval244.0ms (2.8%)

Memory
5.4MiB live, 476.2MiB allocated
Compiler

Compiled 38 236 to 2 875 computations (92.5% saved)

prune37.0ms (0.4%)

Memory
-7.6MiB live, 111.8MiB allocated
Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New1 36241 366
Fresh101
Picked235
Done066
Total1 365131 378
Accuracy
100.0%
Counts
1 378 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.5%
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(approx (- (* (* x (- y 1)) z) x) (*.f64 (*.f64 z x) y))) (neg.f64 #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x))))
75.7%
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) #s(approx (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))) (neg.f64 #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x))))
72.2%
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
68.6%
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
72.2%
(+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x)
57.6%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
34.8%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
40.0%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
38.7%
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) #s(approx (/ 1 (- y 1)) (/.f64 #s(literal 1 binary64) y))))
57.9%
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 x (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) z)))
38.7%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
38.1%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))
31.0%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
Compiler

Compiled 445 to 208 computations (53.3% saved)

regimes60.0ms (0.7%)

Memory
4.6MiB live, 99.1MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
(+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x)
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) #s(approx (/ 1 (- y 1)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) #s(approx (/ (* x (- y 1)) (- (* (* x (- y 1)) z) x)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))) (neg.f64 #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x))))
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(approx (- (* (* x (- y 1)) z) x) (*.f64 (*.f64 z x) y))) (neg.f64 #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x))))
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 #s(approx (* x (/ x (- (* (* x (- y 1)) z) x))) (neg.f64 x))))
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 x (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) z)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) z) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 (neg.f64 y) z) #s(literal 2 binary64)) (*.f64 z (*.f64 (neg.f64 y) z)))))))
Outputs
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
Calls

7 calls:

14.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
9.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
7.0ms
y
7.0ms
x
7.0ms
z
Results
AccuracySegmentsBranch
97.7%1x
97.7%1y
97.7%1z
97.7%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
97.7%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
97.7%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
97.7%1(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes34.0ms (0.4%)

Memory
-6.5MiB live, 69.4MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
(+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x)
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
Calls

7 calls:

6.0ms
(-.f64 #s(literal 1 binary64) y)
6.0ms
z
4.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
95.9%1y
95.9%1x
98.8%2z
98.8%2(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
98.8%2(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
98.8%2(*.f64 (-.f64 #s(literal 1 binary64) y) z)
95.9%1(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes35.0ms (0.4%)

Memory
-10.5MiB live, 66.6MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
(+.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) x)
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
Calls

7 calls:

9.0ms
y
5.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
4.0ms
z
4.0ms
x
4.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Results
AccuracySegmentsBranch
80.7%4x
95.2%3y
95.2%3(-.f64 #s(literal 1 binary64) y)
93.8%4(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
98.2%3(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
98.2%3(*.f64 (-.f64 #s(literal 1 binary64) y) z)
98.5%3z
Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes18.0ms (0.2%)

Memory
0.6MiB live, 38.7MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
Outputs
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
Calls

5 calls:

4.0ms
(-.f64 #s(literal 1 binary64) y)
3.0ms
z
3.0ms
y
3.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
3.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
Results
AccuracySegmentsBranch
95.2%3y
95.2%3(-.f64 #s(literal 1 binary64) y)
81.8%3(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
81.8%3(*.f64 (-.f64 #s(literal 1 binary64) y) z)
84.8%5z
Compiler

Compiled 17 to 24 computations (-41.2% saved)

regimes9.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))
Calls

3 calls:

3.0ms
y
3.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
3.0ms
(-.f64 #s(literal 1 binary64) y)
Results
AccuracySegmentsBranch
79.3%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
88.3%3y
88.3%3(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes21.0ms (0.2%)

Memory
-15.9MiB live, 55.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
Outputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
Calls

7 calls:

6.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
4.0ms
(-.f64 #s(literal 1 binary64) y)
2.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
68.6%1x
68.6%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
68.6%1z
68.6%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
68.6%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
68.6%1y
68.6%1(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes11.0ms (0.1%)

Memory
29.2MiB live, 29.2MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
Calls

7 calls:

2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
2.0ms
y
2.0ms
z
2.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
2.0ms
x
Results
AccuracySegmentsBranch
48.9%6y
67.2%3(*.f64 (-.f64 #s(literal 1 binary64) y) z)
42.0%2(-.f64 #s(literal 1 binary64) y)
45.1%3x
59.7%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
67.2%3(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
67.2%3z
Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes16.0ms (0.2%)

Memory
-5.9MiB live, 36.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

8.0ms
z
1.0ms
y
1.0ms
x
1.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Results
AccuracySegmentsBranch
40.0%1(-.f64 #s(literal 1 binary64) y)
40.0%1y
40.0%1x
40.0%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
40.0%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
40.0%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
40.0%1z
Compiler

Compiled 27 to 35 computations (-29.6% saved)

bsearch8.0ms (0.1%)

Memory
-15.8MiB live, 23.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
-5.19520815792421e+129
-2.998610309513139e+129
Samples
3.0ms64×0valid
Compiler

Compiled 76 to 82 computations (-7.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (64.2% of total)
ival-mult: 1.0ms (64.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Memory
17.4MiB live, 56.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
1.5394249432512713e-15
1.5979481648853321e-13
12.0ms
-44.82295440309292
-0.014203229055653079
Samples
13.0ms240×0valid
Compiler

Compiled 237 to 254 computations (-7.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 4.0ms (54.4% of total)
ival-mult: 3.0ms (40.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7582778136657264
2.5976497382224033
0.0ms
-89553.5687355619
0.9999985855903292
Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.3476329705787888e+25
1.415226568887357e+26
0.0ms
-1953300562644257500.0
-76075857.34013847
Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch3.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.5394249432512713e-15
1.5979481648853321e-13
2.0ms
-44.82295440309292
-0.014203229055653079
Samples
1.0ms16×0valid
Compiler

Compiled 162 to 239 computations (-47.5% saved)

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

simplify30.0ms (0.4%)

Memory
-29.4MiB live, 49.2MiB allocated
Algorithm
egg-herbie
Rules
28×*-commutative-binary64-*.f64
14×+-commutative-binary64-+.f64
14×sub-neg-binary64-neg.f64-+.f64--.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060278
181278
292278
3102278
4104278
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
(if (<=.f64 z #s(literal -3600000000000000116714066194799616635932144240482678142445741243232306284199673626457497294040949976704779879995667372875148427264 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x))
(if (<=.f64 z #s(literal -2476979795053773/2251799813685248 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (if (<=.f64 z #s(literal 3070091297427743/19807040628566084398385987584 binary64)) (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -50000 binary64)) (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000000000000000000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 50000000000000002382364672 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) (if (<=.f64 z #s(literal 3070091297427743/19807040628566084398385987584 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
Outputs
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 x z) x)
(if (<=.f64 z #s(literal -3600000000000000116714066194799616635932144240482678142445741243232306284199673626457497294040949976704779879995667372875148427264 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x))
(if (<=.f64 z #s(literal -3600000000000000116714066194799616635932144240482678142445741243232306284199673626457497294040949976704779879995667372875148427264 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) x x))
(if (<=.f64 z #s(literal -2476979795053773/2251799813685248 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (if (<=.f64 z #s(literal 3070091297427743/19807040628566084398385987584 binary64)) (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))))
(if (<=.f64 z #s(literal -2476979795053773/2251799813685248 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (if (<=.f64 z #s(literal 3070091297427743/19807040628566084398385987584 binary64)) (fma.f64 #s(approx (* (- y 1) z) (*.f64 z y)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -50000 binary64)) (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -50000 binary64)) (fma.f64 #s(approx (* (- y 1) z) (*.f64 z y)) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) x) (fma.f64 #s(approx (* (- y 1) z) (*.f64 z y)) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000000000000000000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 50000000000000002382364672 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000000000000000000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 50000000000000002382364672 binary64)) (*.f64 #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) x)
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) (if (<=.f64 z #s(literal 3070091297427743/19807040628566084398385987584 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))))
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) (if (<=.f64 z #s(literal 3070091297427743/19807040628566084398385987584 binary64)) (*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) x)

soundness1.5s (17.4%)

Memory
-4.9MiB live, 606.7MiB allocated
Rules
10 046×lower-fma.f64
10 046×lower-fma.f32
8 278×lower-fma.f32
8 274×lower-fma.f64
7 100×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02199
03399
111899
269497
0859895
0824
01224
14624
232824
3353824
0941422
01082497
13632471
210532471
320712471
452332471
579132471
081052303
074592
1234592
2627592
31396592
44039592
56285592
67489592
08044544
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 199 to 114 computations (42.7% saved)

preprocess82.0ms (0.9%)

Memory
-2.6MiB live, 153.3MiB allocated
Remove

(negabs x)

Compiler

Compiled 598 to 272 computations (54.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...