Optimisation.CirclePacking:place from circle-packing-0.1.0.4, G

Time bar (total: 5.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×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 9 to 9 computations (0% saved)

sample872.0ms (16.9%)

Memory
36.5MiB live, 1 426.9MiB allocated
Samples
594.0ms8 253×0valid
0.0ms2×2valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 213.0ms
ival-add: 140.0ms (65.7% of total)
ival-mult: 58.0ms (27.2% of total)
ival-true: 6.0ms (2.8% of total)
exact: 5.0ms (2.3% of total)
ival-assert: 4.0ms (1.9% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain63.0ms (1.2%)

Memory
-3.3MiB live, 156.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
00-0-(+.f64 z #s(literal 1 binary64))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 x y)
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
26.0ms512×0valid
Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 6.0ms (52.3% of total)
ival-mult: 5.0ms (43.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess168.0ms (3.3%)

Memory
1.0MiB live, 78.4MiB allocated
Algorithm
1×egg-herbie
Rules
1 636×unsub-neg
662×distribute-lft-in
648×sub-neg
638×distribute-rgt-in
418×distribute-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02668
110864
240963
3124863
4295363
5441363
6529363
7541363
8542363
9542863
10550363
11553963
12553963
13559863
14559863
077
0107
1217
2497
3967
41827
52247
62247
02247
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
Symmetry

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify18.0ms (0.3%)

Memory
-7.4MiB live, 33.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 z #s(literal 1 binary64))
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Rules
296×lower-fma.f64
296×lower-fma.f32
104×lower-+.f32
100×lower-+.f64
92×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
01017
12117
24917
39617
418217
522417
622417
022417
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
x
y
(+.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
z
#s(literal 1 binary64)

localize19.0ms (0.4%)

Memory
10.3MiB live, 47.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 z #s(literal 1 binary64))
accuracy0
(+.f64 x y)
accuracy0.0078125
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Samples
12.0ms256×0valid
Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (62.6% of total)
ival-mult: 2.0ms (41.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-22.0MiB live, 15.6MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (+ x y) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor -inf z) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z))))) (taylor -inf z) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z))))) (taylor -inf z) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z))))) (taylor -inf z) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 z)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 z)) (* y (+ 1 z))) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 z)) (* y (+ 1 z))) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 z)) (* y (+ 1 z))) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 z)) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 z)) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 z)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 z)) (* y (+ 1 z))) (taylor 0 x) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 z)) (* y (+ 1 z))) (taylor 0 x) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 z)) (* y (+ 1 z))) (taylor 0 x) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 z)) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 z)) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@inf
((* (+ x y) (+ z 1)) (+ x y) (+ z 1))
1.0ms
y
@-inf
((* (+ x y) (+ z 1)) (+ x y) (+ z 1))
0.0ms
z
@-inf
((* (+ x y) (+ z 1)) (+ x y) (+ z 1))
0.0ms
z
@inf
((* (+ x y) (+ z 1)) (+ x y) (+ z 1))
0.0ms
x
@-inf
((* (+ x y) (+ z 1)) (+ x y) (+ z 1))

simplify488.0ms (9.4%)

Memory
-182.2MiB live, 259.3MiB allocated
Algorithm
1×egg-herbie
Rules
11 054×lower-fma.f64
11 054×lower-fma.f32
2 652×lower-*.f64
2 652×lower-*.f32
2 002×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059376
1219322
2731322
32474322
44943322
57626322
08207316
Stop Event
1×iter limit
1×node limit
Counts
72 → 64
Calls
Call 1
Inputs
(+ x y)
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
1
(+ 1 z)
(+ 1 z)
(+ 1 z)
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ x y))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* x (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
x
(+ x y)
(+ x y)
(+ x y)
(* y (+ 1 z))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 z))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
y
(+ x y)
(+ x y)
(+ x y)
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 z))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
1
#s(literal 1 binary64)
(+ 1 z)
(-.f64 z #s(literal -1 binary64))
(+ 1 z)
(-.f64 z #s(literal -1 binary64))
(+ 1 z)
(-.f64 z #s(literal -1 binary64))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
z
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
z
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(* x (+ 1 z))
(fma.f64 z x x)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* y (+ 1 z))
(fma.f64 z y y)
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 z))
(fma.f64 z y y)
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* y (+ 1 z))
(fma.f64 z y y)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 z))
(fma.f64 z x x)
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)

rewrite231.0ms (4.5%)

Memory
-5.2MiB live, 267.5MiB allocated
Rules
4 398×lower-*.f32
4 396×lower-*.f64
3 796×lower-fma.f64
3 796×lower-fma.f32
3 164×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
01013
14613
236713
3557013
0864613
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 415
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
(+.f64 z #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 y x)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 y x)) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 y x)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) (+.f64 (fma.f64 z z #s(literal -1 binary64)) z))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 y x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) z)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) z)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 y x)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 y x)) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) z)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 y x) (-.f64 z #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 y x) (-.f64 (+.f64 y x) (*.f64 z (+.f64 y x))) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 z z #s(literal -1 binary64))) (pow.f64 (*.f64 (-.f64 x y) (-.f64 z #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (-.f64 x y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 x y)))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (-.f64 x y) (-.f64 z #s(literal 1 binary64)))))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 (+.f64 y x) (-.f64 z #s(literal 1 binary64))))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (-.f64 z #s(literal 1 binary64)))))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 y x)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (+.f64 y x)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)))
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)) (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 z #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 y x) (-.f64 (+.f64 y x) (*.f64 z (+.f64 y x))) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 z #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 z z #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 y x)) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (+.f64 y x)) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 y x)) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 #s(literal 1 binary64) z)) (-.f64 y x))
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 #s(literal 1 binary64) z)) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) z)) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x)))) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (+.f64 y x) (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (+.f64 y x) (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
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(*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 z #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 z #s(literal 1 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (neg.f64 (-.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z #s(literal 1 binary64))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 z #s(literal 1 binary64)) (+.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 z #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (-.f64 z #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(neg.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z) (neg.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 z z) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) z #s(literal 1 binary64))
(fma.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 z #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)))
(-.f64 (*.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) z)
(+.f64 z #s(literal 1 binary64))

eval59.0ms (1.1%)

Memory
-2.1MiB live, 154.0MiB allocated
Compiler

Compiled 9 493 to 1 142 computations (88% saved)

prune19.0ms (0.4%)

Memory
-16.6MiB live, 33.5MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4754479
Fresh000
Picked101
Done000
Total4764480
Accuracy
100.0%
Counts
480 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.9%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
▶49.9%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
▶53.3%
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
▶47.7%
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
Compiler

Compiled 20 to 21 computations (-5% saved)

simplify8.0ms (0.2%)

Memory
18.7MiB live, 18.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 z y y)
cost-diff0
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
cost-diff0
(fma.f64 z x x)
cost-diff0
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
cost-diff0
(+.f64 y x)
cost-diff0
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 z (+.f64 y x))
cost-diff0
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
Rules
296×lower-fma.f32
292×lower-fma.f64
104×lower-+.f32
102×lower-+.f64
92×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01576
02176
14376
26276
310776
422276
525776
625776
025776
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
y
x
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
(+.f64 y x)
y
x
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
(fma.f64 z x x)
z
x
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
(fma.f64 z y y)
z
y
Outputs
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
y
x
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
(+.f64 y x)
y
x
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
(fma.f64 z x x)
z
x
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
(fma.f64 z y y)
z
y

localize62.0ms (1.2%)

Memory
10.0MiB live, 87.2MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 z y y)
accuracy29.510023874744032
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
accuracy0
(fma.f64 z x x)
accuracy32.077703315806865
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
accuracy0
(+.f64 y x)
accuracy29.861165857863824
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
accuracy0
(+.f64 y x)
accuracy0.00390625
(*.f64 z (+.f64 y x))
accuracy33.46740809003618
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
Samples
26.0ms256×0valid
Compiler

Compiled 60 to 15 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 7.0ms (50.8% of total)
ival-mult: 6.0ms (43.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory
-1.3MiB live, 36.9MiB allocated
Counts
8 → 252
Calls
Call 1
Inputs
#s(alt #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) (patch #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) #<representation binary64>) () ())
#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (patch #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #<representation binary64>) () ())
#s(alt (fma.f64 z x x) (patch (fma.f64 z x x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) #<representation binary64>) () ())
#s(alt (fma.f64 z y y) (patch (fma.f64 z y y) #<representation binary64>) () ())
Outputs
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) (patch #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) (patch #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) (patch #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) (patch #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (patch #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (patch #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (patch #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (patch #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 z x x) (patch (fma.f64 z x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x z)) (taylor 0 z) (#s(alt (fma.f64 z x x) (patch (fma.f64 z x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x z)) (taylor 0 z) (#s(alt (fma.f64 z x x) (patch (fma.f64 z x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x z)) (taylor 0 z) (#s(alt (fma.f64 z x x) (patch (fma.f64 z x x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (fma.f64 z y y) (patch (fma.f64 z y y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y y) (patch (fma.f64 z y y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y y) (patch (fma.f64 z y y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y y) (patch (fma.f64 z y y) #<representation binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) (patch #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) (patch #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) (patch #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) (patch #s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 z) 1))) (taylor -inf x) (#s(alt (fma.f64 z x x) (patch (fma.f64 z x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 z) 1))) (taylor -inf x) (#s(alt (fma.f64 z x x) (patch (fma.f64 z x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 z) 1))) (taylor -inf x) (#s(alt (fma.f64 z x x) (patch (fma.f64 z x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
((* (+ x y) (+ z 1)) (* z (+ y x)) (+ y x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y))
1.0ms
z
@inf
((* (+ x y) (+ z 1)) (* z (+ y x)) (+ y x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y))
1.0ms
y
@-inf
((* (+ x y) (+ z 1)) (* z (+ y x)) (+ y x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y))
1.0ms
y
@inf
((* (+ x y) (+ z 1)) (* z (+ y x)) (+ y x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y))
1.0ms
x
@-inf
((* (+ x y) (+ z 1)) (* z (+ y x)) (+ y x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y))

simplify194.0ms (3.8%)

Memory
12.1MiB live, 168.7MiB allocated
Algorithm
1×egg-herbie
Rules
11 456×lower-fma.f64
11 456×lower-fma.f32
2 360×lower-*.f64
2 360×lower-*.f32
1 498×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951596
13531380
210731380
332621380
460001380
572211380
677201380
080421314
Stop Event
1×iter limit
1×node limit
Counts
252 → 244
Calls
Call 1
Inputs
(+ x y)
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(+ x y)
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
(+ x y)
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
x
(+ x (* x z))
(+ x (* x z))
(+ x (* x z))
(+ x y)
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
y
(+ y (* y z))
(+ y (* y z))
(+ y (* y z))
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* x z)
(* z (+ x (/ x z)))
(* z (+ x (/ x z)))
(* z (+ x (/ x z)))
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* y z)
(* z (+ y (/ y z)))
(* z (+ y (/ y z)))
(* z (+ y (/ y z)))
(* z (+ x y))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* z (+ x y))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* z (+ x y))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(* x (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* x z)
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(+ (* x z) (* y z))
x
(+ x y)
(+ x y)
(+ x y)
(* x (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* x (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* x (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* y (+ 1 z))
(* y (+ 1 z))
(* y (+ 1 z))
(* y (+ 1 z))
(* y (+ 1 z))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y z)
(* y (+ z (/ (* x z) y)))
(* y (+ z (/ (* x z) y)))
(* y (+ z (/ (* x z) y)))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 z))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 z))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 z))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 z))
(* y (+ 1 z))
(* y (+ 1 z))
(* y (+ 1 z))
(* y (+ 1 z))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* y (+ 1 z))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* y (+ 1 z))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* y (+ 1 z))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (- (* -1 z) 1)))
(* -1 (* y (- (* -1 z) 1)))
(* -1 (* y (- (* -1 z) 1)))
(* -1 (* y (- (* -1 z) 1)))
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* y z)
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(+ (* x z) (* y z))
y
(+ x y)
(+ x y)
(+ x y)
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* x (+ 1 z))
(* x (+ 1 z))
(* x (+ 1 z))
(* x (+ 1 z))
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x z)
(* x (+ z (/ (* y z) x)))
(* x (+ z (/ (* y z) x)))
(* x (+ z (/ (* y z) x)))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 z))
(* x (+ 1 z))
(* x (+ 1 z))
(* x (+ 1 z))
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 z))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* x (+ 1 z))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* x (+ 1 z))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (- (* -1 z) 1)))
(* -1 (* x (- (* -1 z) 1)))
(* -1 (* x (- (* -1 z) 1)))
(* -1 (* x (- (* -1 z) 1)))
(* x (+ 1 z))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
Outputs
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
x
(+ x (* x z))
(fma.f64 z x x)
(+ x (* x z))
(fma.f64 z x x)
(+ x (* x z))
(fma.f64 z x x)
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
y
(+ y (* y z))
(fma.f64 z y y)
(+ y (* y z))
(fma.f64 z y y)
(+ y (* y z))
(fma.f64 z y y)
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x z)
(*.f64 z x)
(* z (+ x (/ x z)))
(fma.f64 z x x)
(* z (+ x (/ x z)))
(fma.f64 z x x)
(* z (+ x (/ x z)))
(fma.f64 z x x)
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y z)
(*.f64 z y)
(* z (+ y (/ y z)))
(fma.f64 z y y)
(* z (+ y (/ y z)))
(fma.f64 z y y)
(* z (+ y (/ y z)))
(fma.f64 z y y)
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 z x x)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 z x x)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 z x x)
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y z)
(*.f64 z y)
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(fma.f64 z y y)
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(fma.f64 z y y)
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(fma.f64 z y y)
(* x (+ 1 z))
(fma.f64 z x x)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x z)
(*.f64 z x)
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* x (+ 1 z))
(fma.f64 z x x)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(fma.f64 z y y)
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(fma.f64 z y y)
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(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
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(*.f64 z (+.f64 y x))
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(fma.f64 z y y)
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(fma.f64 z y y)
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 z (+.f64 y x))
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(fma.f64 z y y)
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 z (+.f64 y x))
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(*.f64 z (+.f64 y x))
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
y
(+ x y)
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(fma.f64 z x x)
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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x
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(+.f64 y x)
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(fma.f64 z x x)
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
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x
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(fma.f64 z x x)
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
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(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))

rewrite280.0ms (5.4%)

Memory
-13.4MiB live, 293.3MiB allocated
Rules
9 094×lower-fma.f32
9 090×lower-fma.f64
5 260×lower-*.f32
5 258×lower-*.f64
3 316×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01564
02164
19664
275064
0853664
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 246
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
(+.f64 y x)
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
(fma.f64 z x x)
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
(fma.f64 z y y)
Outputs
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
(*.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 y x) z)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) z)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 z (+.f64 y x)) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 z (+.f64 y x)) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 z (+.f64 y x)) (*.f64 z (-.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x))))
(*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y))))))
(*.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) z))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) z))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) z))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) z))
(*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (*.f64 z x) (*.f64 z y)))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (*.f64 z y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 y x) z))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) z))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 z (+.f64 y x)) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (*.f64 z (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 z (+.f64 y x)) (*.f64 z (-.f64 y x)))) (neg.f64 (*.f64 z (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y))))))
(/.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 y x) z)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) z)) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 z (+.f64 y x)) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (*.f64 z (+.f64 y x)) (-.f64 x y)) (-.f64 x y))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 z (+.f64 y x)) (*.f64 z (-.f64 y x))) (*.f64 z (-.f64 y x)))
(/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (*.f64 (-.f64 y x) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (*.f64 z (+.f64 y x)) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (*.f64 z (+.f64 y x)) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
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(*.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) y) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) y) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (*.f64 y (-.f64 y (*.f64 (*.f64 z z) y))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 z y))))
(*.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 z z) y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 z y) y))))
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (fma.f64 (*.f64 z z) y (-.f64 y (*.f64 z y)))))))
(*.f64 (*.f64 y (fma.f64 (*.f64 z z) y (neg.f64 y))) (pow.f64 (-.f64 (*.f64 z y) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(*.f64 (*.f64 y (fma.f64 (*.f64 z z) y (-.f64 y (*.f64 z y)))) (*.f64 (fma.f64 z y y) (pow.f64 (*.f64 y (fma.f64 (*.f64 z z) y (-.f64 y (*.f64 z y)))) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y y) (*.f64 z (-.f64 z #s(literal 1 binary64)))))))
(*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 y (fma.f64 (*.f64 z z) y (-.f64 y (*.f64 z y)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) y))
(*.f64 (fma.f64 z y y) (*.f64 (-.f64 (*.f64 z y) y) (pow.f64 (-.f64 (*.f64 z y) y) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) z) y)
(*.f64 #s(literal 1 binary64) (fma.f64 z y y))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y y)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) y)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 z y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 z y) y)))) (+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 z y) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 z y) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) y)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 z y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 z y) y)) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 z y) y))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) y)) (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (*.f64 y (-.f64 y (*.f64 (*.f64 z z) y)))) (neg.f64 (-.f64 y (*.f64 z y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 z z) y (neg.f64 y))))) (neg.f64 (neg.f64 (-.f64 (*.f64 z y) y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 z z) y (-.f64 y (*.f64 z y)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) y)) (*.f64 (-.f64 (*.f64 z y) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 z y) y) (-.f64 (*.f64 z y) y)))
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) y) (-.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 y (-.f64 y (*.f64 (*.f64 z z) y))) (-.f64 y (*.f64 z y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y y))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 z z) y (neg.f64 y)))) (neg.f64 (-.f64 (*.f64 z y) y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y y) (*.f64 z (-.f64 z #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 y (fma.f64 (*.f64 z z) y (-.f64 y (*.f64 z y))))))
(/.f64 (*.f64 y (fma.f64 (*.f64 z z) y (neg.f64 y))) (-.f64 (*.f64 z y) y))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 y y) (*.f64 z (-.f64 z #s(literal 1 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y (fma.f64 (*.f64 z z) y (-.f64 y (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 z y)) (*.f64 y (-.f64 y (*.f64 (*.f64 z z) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 y y) (*.f64 z (-.f64 z #s(literal 1 binary64))))) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y y)))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(neg.f64 (/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 z z) y (neg.f64 y)))) (-.f64 (*.f64 z y) y)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (fma.f64 (*.f64 z z) y (-.f64 y (*.f64 z y))))))
(neg.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 z z) y (neg.f64 y))) (neg.f64 (-.f64 (*.f64 z y) y))))
(neg.f64 (/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 y (fma.f64 (*.f64 z z) y (-.f64 y (*.f64 z y)))))))
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 z y) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 z y) y))))
(fma.f64 (*.f64 z y) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) (*.f64 z y) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 z y))
(fma.f64 z y y)
(fma.f64 y #s(literal 1 binary64) (*.f64 z y))
(fma.f64 y z y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 z y))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 y (*.f64 z y))))
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 z y) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 z y) y))))
(+.f64 (*.f64 z y) y)
(+.f64 y (*.f64 z y))

eval176.0ms (3.4%)

Memory
21.5MiB live, 182.4MiB allocated
Compiler

Compiled 7 404 to 928 computations (87.5% saved)

prune97.0ms (1.9%)

Memory
-30.0MiB live, 64.7MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New5682570
Fresh000
Picked044
Done000
Total5686574
Accuracy
100.0%
Counts
574 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.9%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
✓49.9%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
✓53.3%
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
✓47.7%
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
▶27.8%
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
▶24.1%
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
Compiler

Compiled 30 to 33 computations (-10% saved)

simplify8.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (+ (* z y) y) (*.f64 z y))
cost-diff0
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
cost-diff0
(*.f64 z x)
cost-diff0
#s(approx (+ (* z x) x) (*.f64 z x))
cost-diff0
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
Rules
296×lower-fma.f64
296×lower-fma.f32
104×lower-+.f64
104×lower-+.f32
92×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01762
01962
13662
25662
310162
422362
527162
627162
027158
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
#s(approx (+ (* z x) x) (*.f64 z x))
(*.f64 z x)
z
x
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
#s(approx (+ (* z y) y) (*.f64 z y))
(*.f64 z y)
z
y
Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
#s(approx (+ (* z x) x) (*.f64 z x))
(*.f64 z x)
z
x
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
#s(approx (+ (* z y) y) (*.f64 z y))
(*.f64 z y)
z
y

localize42.0ms (0.8%)

Memory
9.0MiB live, 48.4MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z y)
accuracy29.510023874744032
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
accuracy33.20392597770597
#s(approx (+ (* z y) y) (*.f64 z y))
accuracy0
(*.f64 z x)
accuracy32.077703315806865
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
accuracy33.097351603084014
#s(approx (+ (* z x) x) (*.f64 z x))
Samples
35.0ms256×0valid
Compiler

Compiled 36 to 13 computations (63.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-add: 21.0ms (80.4% of total)
ival-mult: 5.0ms (19.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.5%)

Memory
-27.0MiB live, 12.1MiB allocated
Counts
6 → 168
Calls
Call 1
Inputs
#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z x) x) (*.f64 z x)) (patch #s(approx (+ (* z x) x) (*.f64 z x)) #<representation binary64>) () ())
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z y) y) (*.f64 z y)) (patch #s(approx (+ (* z y) y) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
Outputs
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ (* z x) x) (*.f64 z x)) (patch #s(approx (+ (* z x) x) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x z)) (taylor 0 z) (#s(alt #s(approx (+ (* z x) x) (*.f64 z x)) (patch #s(approx (+ (* z x) x) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x z)) (taylor 0 z) (#s(alt #s(approx (+ (* z x) x) (*.f64 z x)) (patch #s(approx (+ (* z x) x) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x z)) (taylor 0 z) (#s(alt #s(approx (+ (* z x) x) (*.f64 z x)) (patch #s(approx (+ (* z x) x) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt #s(approx (+ (* z y) y) (*.f64 z y)) (patch #s(approx (+ (* z y) y) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) y) (*.f64 z y)) (patch #s(approx (+ (* z y) y) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) y) (*.f64 z y)) (patch #s(approx (+ (* z y) y) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) y) (*.f64 z y)) (patch #s(approx (+ (* z y) y) (*.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 (* z (+ x y)) (taylor inf z) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt #s(approx (+ (* z x) x) (*.f64 z x)) (patch #s(approx (+ (* z x) x) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ x z))) (taylor inf z) (#s(alt #s(approx (+ (* z x) x) (*.f64 z x)) (patch #s(approx (+ (* z x) x) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ x z))) (taylor inf z) (#s(alt #s(approx (+ (* z x) x) (*.f64 z x)) (patch #s(approx (+ (* z x) x) (*.f64 z x)) #<representation binary64>) () ())) ())
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#s(alt (+ (* x (+ 1 z)) (* y (+ 1 z))) (taylor 0 x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 z)) (* y (+ 1 z))) (taylor 0 x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))) (taylor inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))) (taylor inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))) (taylor inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 z)) (taylor inf x) (#s(alt #s(approx (+ (* z x) x) (*.f64 z x)) (patch #s(approx (+ (* z x) x) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 z)) (taylor inf x) (#s(alt #s(approx (+ (* z x) x) (*.f64 z x)) (patch #s(approx (+ (* z x) x) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 z)) (taylor inf x) (#s(alt #s(approx (+ (* z x) x) (*.f64 z x)) (patch #s(approx (+ (* z x) x) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 z)) (taylor inf x) (#s(alt #s(approx (+ (* z x) x) (*.f64 z x)) (patch #s(approx (+ (* z x) x) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))) (taylor inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))) (taylor inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))) (taylor inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z x) x) (*.f64 z x)) (patch #s(approx (+ (* z x) x) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z x) x) (*.f64 z x)) (patch #s(approx (+ (* z x) x) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z x) x) (*.f64 z x)) (patch #s(approx (+ (* z x) x) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z x) x) (*.f64 z x)) (patch #s(approx (+ (* z x) x) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (patch #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
16.0ms
z
@-inf
((* (+ x y) (+ z 1)) (+ (* z x) x) (* z x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* z y))
1.0ms
z
@inf
((* (+ x y) (+ z 1)) (+ (* z x) x) (* z x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* z y))
1.0ms
y
@-inf
((* (+ x y) (+ z 1)) (+ (* z x) x) (* z x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* z y))
1.0ms
x
@-inf
((* (+ x y) (+ z 1)) (+ (* z x) x) (* z x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* z y))
1.0ms
z
@0
((* (+ x y) (+ z 1)) (+ (* z x) x) (* z x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* z y))

simplify143.0ms (2.8%)

Memory
-3.3MiB live, 74.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 090×lower-fma.f64
10 090×lower-fma.f32
2 750×lower-*.f64
2 750×lower-*.f32
1 634×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066940
1246832
2770832
32271832
45755832
08327778
Stop Event
1×iter limit
1×node limit
Counts
168 → 166
Calls
Call 1
Inputs
(+ x y)
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
x
(+ x (* x z))
(+ x (* x z))
(+ x (* x z))
(* x z)
(* x z)
(* x z)
(* x z)
(+ x y)
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
y
(+ y (* y z))
(+ y (* y z))
(+ y (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* x z)
(* z (+ x (/ x z)))
(* z (+ x (/ x z)))
(* z (+ x (/ x z)))
(* x z)
(* x z)
(* x z)
(* x z)
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* y z)
(* z (+ y (/ y z)))
(* z (+ y (/ y z)))
(* z (+ y (/ y z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* z (+ x y))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* x z)
(* x z)
(* x z)
(* x z)
(* z (+ x y))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* x (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* x (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* y (+ 1 z))
(* y (+ 1 z))
(* y (+ 1 z))
(* y (+ 1 z))
(* y z)
(* y z)
(* y z)
(* y z)
(* y (+ 1 z))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 z))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 z))
(* y (+ 1 z))
(* y (+ 1 z))
(* y (+ 1 z))
(* y z)
(* y z)
(* y z)
(* y z)
(* y (+ 1 z))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* y (+ 1 z))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (- (* -1 z) 1)))
(* -1 (* y (- (* -1 z) 1)))
(* -1 (* y (- (* -1 z) 1)))
(* -1 (* y (- (* -1 z) 1)))
(* y z)
(* y z)
(* y z)
(* y z)
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* x (+ 1 z))
(* x (+ 1 z))
(* x (+ 1 z))
(* x (+ 1 z))
(* x z)
(* x z)
(* x z)
(* x z)
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 z))
(* x (+ 1 z))
(* x (+ 1 z))
(* x (+ 1 z))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 z))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (- (* -1 z) 1)))
(* -1 (* x (- (* -1 z) 1)))
(* -1 (* x (- (* -1 z) 1)))
(* -1 (* x (- (* -1 z) 1)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (+ 1 z))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
Outputs
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
x
(+ x (* x z))
(fma.f64 z x x)
(+ x (* x z))
(fma.f64 z x x)
(+ x (* x z))
(fma.f64 z x x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
y
(+ y (* y z))
(fma.f64 z y y)
(+ y (* y z))
(fma.f64 z y y)
(+ y (* y z))
(fma.f64 z y y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x z)
(*.f64 z x)
(* z (+ x (/ x z)))
(fma.f64 z x x)
(* z (+ x (/ x z)))
(fma.f64 z x x)
(* z (+ x (/ x z)))
(fma.f64 z x x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y z)
(*.f64 z y)
(* z (+ y (/ y z)))
(fma.f64 z y y)
(* z (+ y (/ y z)))
(fma.f64 z y y)
(* z (+ y (/ y z)))
(fma.f64 z y y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 z x x)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 z x x)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 z x x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y z)
(*.f64 z y)
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(fma.f64 z y y)
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(fma.f64 z y y)
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(fma.f64 z y y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* x (+ 1 z))
(fma.f64 z x x)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ 1 z))
(fma.f64 z y y)
(* y (+ 1 z))
(fma.f64 z y y)
(* y (+ 1 z))
(fma.f64 z y y)
(* y (+ 1 z))
(fma.f64 z y y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y (+ 1 z))
(fma.f64 z y y)
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ 1 z))
(fma.f64 z y y)
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ 1 z))
(fma.f64 z y y)
(* y (+ 1 z))
(fma.f64 z y y)
(* y (+ 1 z))
(fma.f64 z y y)
(* y (+ 1 z))
(fma.f64 z y y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y (+ 1 z))
(fma.f64 z y y)
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ 1 z))
(fma.f64 z y y)
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* y (- (* -1 z) 1)))
(fma.f64 z y y)
(* -1 (* y (- (* -1 z) 1)))
(fma.f64 z y y)
(* -1 (* y (- (* -1 z) 1)))
(fma.f64 z y y)
(* -1 (* y (- (* -1 z) 1)))
(fma.f64 z y y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y (+ 1 z))
(fma.f64 z y y)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* y (+ 1 z))
(fma.f64 z y y)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* x (- (* -1 z) 1)))
(fma.f64 z x x)
(* -1 (* x (- (* -1 z) 1)))
(fma.f64 z x x)
(* -1 (* x (- (* -1 z) 1)))
(fma.f64 z x x)
(* -1 (* x (- (* -1 z) 1)))
(fma.f64 z x x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x (+ 1 z))
(fma.f64 z x x)
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))

rewrite178.0ms (3.4%)

Memory
23.9MiB live, 99.1MiB allocated
Rules
6 918×lower-fma.f64
6 918×lower-fma.f32
5 832×lower-*.f32
5 828×lower-*.f64
3 766×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01758
01958
18158
260958
0827954
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 12
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
#s(approx (+ (* z x) x) (*.f64 z x))
(*.f64 z x)
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
#s(approx (+ (* z y) y) (*.f64 z y))
(*.f64 z y)
Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
#s(approx (+ (* z x) x) (*.f64 z x))
(*.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z x))
(*.f64 z x)
(*.f64 x z)
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
#s(approx (+ (* z y) y) (*.f64 z y))
(*.f64 (*.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z y))
(*.f64 z y)
(*.f64 y z)

eval77.0ms (1.5%)

Memory
-13.8MiB live, 32.1MiB allocated
Compiler

Compiled 1 152 to 50 computations (95.7% saved)

prune7.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1780178
Fresh000
Picked022
Done044
Total1786184
Accuracy
100.0%
Counts
184 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.9%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
✓49.9%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
✓53.3%
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
✓47.7%
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
✓27.8%
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
✓24.1%
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
Compiler

Compiled 67 to 54 computations (19.4% saved)

regimes74.0ms (1.4%)

Memory
-16.7MiB live, 61.2MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Calls

6 calls:

39.0ms
y
17.0ms
(+.f64 x y)
5.0ms
x
5.0ms
z
4.0ms
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
100.0%1(+.f64 x y)
100.0%1(+.f64 z #s(literal 1 binary64))
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes289.0ms (5.6%)

Memory
-8.0MiB live, 188.9MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
Outputs
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
Calls

6 calls:

104.0ms
x
59.0ms
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
58.0ms
z
45.0ms
(+.f64 x y)
13.0ms
y
Results
AccuracySegmentsBranch
86.5%4x
84.5%3y
97.7%3z
84.0%4(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
99.0%2(+.f64 x y)
97.7%3(+.f64 z #s(literal 1 binary64))
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes258.0ms (5%)

Memory
-11.9MiB live, 197.6MiB allocated
Counts
4 → 4
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
Outputs
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
Calls

6 calls:

59.0ms
y
57.0ms
(+.f64 x y)
56.0ms
x
23.0ms
z
12.0ms
(+.f64 z #s(literal 1 binary64))
Results
AccuracySegmentsBranch
71.0%3(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
74.5%4y
70.0%3x
81.2%4z
81.2%4(+.f64 z #s(literal 1 binary64))
81.3%4(+.f64 x y)
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes201.0ms (3.9%)

Memory
13.9MiB live, 173.4MiB allocated
Counts
3 → 4
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
Calls

3 calls:

80.0ms
z
62.0ms
(+.f64 x y)
58.0ms
(+.f64 z #s(literal 1 binary64))
Results
AccuracySegmentsBranch
81.2%4z
81.2%4(+.f64 z #s(literal 1 binary64))
61.0%5(+.f64 x y)
Compiler

Compiled 7 to 12 computations (-71.4% saved)

regimes54.0ms (1%)

Memory
16.3MiB live, 55.8MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
Calls

2 calls:

47.0ms
z
6.0ms
(+.f64 z #s(literal 1 binary64))
Results
AccuracySegmentsBranch
74.3%3z
74.3%3(+.f64 z #s(literal 1 binary64))
Compiler

Compiled 4 to 8 computations (-100% saved)

regimes88.0ms (1.7%)

Memory
-27.5MiB live, 51.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

39.0ms
z
3.0ms
(+.f64 x y)
3.0ms
y
3.0ms
x
3.0ms
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
53.3%1(+.f64 x y)
53.3%1x
53.3%1(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
53.3%1y
53.3%1z
53.3%1(+.f64 z #s(literal 1 binary64))
Compiler

Compiled 16 to 25 computations (-56.3% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-6.200103999127639e-240
1.5732553788601473e-294
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
5.778943745967265e+157
1.4586728294437396e+160
0.0ms
9.052144807587067e+38
1.2654025559598346e+46
0.0ms
1.5732553788601473e-294
6.536339935488636e-251
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.1066147583517358e+179
9.553412404570262e+188
0.0ms
32214.522613414407
509279.6240583783
0.0ms
-29.177902435452204
0.5504129135506091
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000000000001092
32214.522613414407
0.0ms
-29.177902435452204
0.5504129135506091
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify60.0ms (1.2%)

Memory
26.8MiB live, 67.0MiB allocated
Algorithm
1×egg-herbie
Rules
6×*-commutative-binary64-*.f64
4×+-commutative-binary64-+.f64
2×1-exp-binary32-exp.f32
2×1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051254
159254
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -2346099009001469/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)))
(if (<=.f64 (+.f64 x y) #s(literal 5752618031559411/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 (+.f64 x y) #s(literal 999999999999999939709166371603178586112 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (if (<=.f64 (+.f64 x y) #s(literal 99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -20 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 399999999999999992182199093926056637831505556986905087656583932600456021545313089837077756937991934597688594391775801353679988012673760977536389163260176281218179124867782433308672 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -20 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(if (<=.f64 (+.f64 x y) #s(literal -2346099009001469/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)))
(if (<=.f64 (+.f64 y x) #s(literal -2346099009001469/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)))
(if (<=.f64 (+.f64 x y) #s(literal 5752618031559411/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 (+.f64 x y) #s(literal 999999999999999939709166371603178586112 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (if (<=.f64 (+.f64 x y) #s(literal 99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)))))
(if (<=.f64 (+.f64 y x) #s(literal 5752618031559411/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 (+.f64 y x) #s(literal 999999999999999939709166371603178586112 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (if (<=.f64 (+.f64 y x) #s(literal 99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -20 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 399999999999999992182199093926056637831505556986905087656583932600456021545313089837077756937991934597688594391775801353679988012673760977536389163260176281218179124867782433308672 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -20 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 50000 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 399999999999999992182199093926056637831505556986905087656583932600456021545313089837077756937991934597688594391775801353679988012673760977536389163260176281218179124867782433308672 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -20 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -20 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

soundness837.0ms (16.2%)

Memory
-3.6MiB live, 352.7MiB allocated
Rules
11 456×lower-fma.f64
11 456×lower-fma.f32
11 054×lower-fma.f64
11 054×lower-fma.f32
2 652×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059376
1219322
2731322
32474322
44943322
57626322
08207316
0951596
13531380
210731380
332621380
460001380
572211380
677201380
080421314
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 166 to 99 computations (40.4% saved)

preprocess50.0ms (1%)

Memory
-10.4MiB live, 106.6MiB allocated
Remove

(sort x y)

Compiler

Compiled 294 to 128 computations (56.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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