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

Time bar (total: 5.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 9 computations (0% saved)

sample896.0ms (16.8%)

Memory
13.8MiB live, 1 369.0MiB allocated
Samples
674.0ms8 254×0valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 428.0ms
ival-mult: 189.0ms (44.2% of total)
ival-add: 181.0ms (42.3% of total)
ival-sub: 43.0ms (10.1% of total)
ival-true: 6.0ms (1.4% of total)
exact: 5.0ms (1.2% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain61.0ms (1.1%)

Memory
-30.4MiB live, 128.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
00-0-y
00-0-(-.f64 #s(literal 1 binary64) z)
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
24.0ms512×0valid
Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (32.4% of total)
ival-add: 3.0ms (32.4% of total)
ival-mult: 3.0ms (32.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess228.0ms (4.3%)

Memory
32.5MiB live, 110.3MiB allocated
Algorithm
egg-herbie
Rules
1 552×lower-fma.f64
1 552×lower-fma.f32
1 326×unsub-neg
912×sub-neg
664×distribute-lft-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02668
16964
223363
384463
4263463
5445563
6544963
7570363
8575563
9577863
10578163
11584463
12585263
13585263
14585263
15589063
16589063
077
0107
1167
2347
3747
42157
55047
68257
713147
816347
916907
1016907
016907
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify54.0ms (1%)

Memory
-22.0MiB live, 99.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Rules
1 552×lower-fma.f64
1 552×lower-fma.f32
368×lower-*.f32
366×lower-*.f64
344×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
01017
11617
23417
37417
421517
550417
682517
7131417
8163417
9169017
10169017
0169017
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z

localize16.0ms (0.3%)

Memory
5.9MiB live, 45.4MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) z)
accuracy0
(+.f64 x y)
accuracy0.01171875
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
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-sub: 2.0ms (37.3% of total)
ival-mult: 2.0ms (37.3% of total)
ival-add: 1.0ms (18.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())
Outputs
#s(alt (+ x y) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x y))) (taylor inf z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x y))) (taylor -inf z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) (taylor -inf z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) (taylor -inf z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) (taylor -inf z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<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 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<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 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<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 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<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 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<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 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<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
1.0ms
y
@inf
((* (+ x y) (- 1 z)) (+ x y) (- 1 z))
0.0ms
z
@-inf
((* (+ x y) (- 1 z)) (+ x y) (- 1 z))
0.0ms
z
@inf
((* (+ x y) (- 1 z)) (+ x y) (- 1 z))
0.0ms
y
@-inf
((* (+ x y) (- 1 z)) (+ x y) (- 1 z))
0.0ms
x
@inf
((* (+ x y) (- 1 z)) (+ x y) (- 1 z))

simplify136.0ms (2.6%)

Memory
-1.1MiB live, 198.0MiB allocated
Algorithm
egg-herbie
Rules
12 146×lower-fma.f64
12 146×lower-fma.f32
2 722×lower-*.f64
2 722×lower-*.f32
2 196×lower--.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065407
1213326
2683326
32182326
45119326
57892326
08645326
Stop Event
iter limit
node limit
Counts
72 → 66
Calls
Call 1
Inputs
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* 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 (/ (* x (- 1 z)) y)) z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
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 (/ (* y (- 1 z)) x)) z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
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 (* -1 (* z (+ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (+ x y)))
(*.f64 (neg.f64 z) (+.f64 y x))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 z)
(neg.f64 z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (+ x y)))
(*.f64 (neg.f64 z) (+.f64 y x))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.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))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.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))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.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))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.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)

rewrite206.0ms (3.9%)

Memory
-24.6MiB live, 284.0MiB allocated
Rules
5 758×lower-*.f32
5 756×lower-*.f64
3 972×lower-/.f64
3 972×lower-/.f32
2 508×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
01013
14113
230713
3403213
0959813
Stop Event
iter limit
node limit
iter limit
Counts
3 → 835
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+.f64 x y)
(-.f64 #s(literal 1 binary64) z)
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)) (+.f64 (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x))) (-.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 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.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 #s(literal 1 binary64) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.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 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 y x)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.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 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))))
(*.f64 (fma.f64 (neg.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 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 y x)))
(*.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 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(*.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 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (+.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) 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 (neg.f64 z) z #s(literal 1 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 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) 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 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 (neg.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 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)) (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 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 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 z)))) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (neg.f64 (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 z)))) (*.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 (-.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 z)))) (*.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
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eval125.0ms (2.4%)

Memory
16.6MiB live, 215.7MiB allocated
Compiler

Compiled 31 898 to 2 749 computations (91.4% saved)

prune17.0ms (0.3%)

Memory
17.5MiB live, 56.3MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New8956901
Fresh000
Picked101
Done000
Total8966902
Accuracy
100.0%
Counts
902 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
100.0%
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))
51.3%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
50.7%
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
52.3%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
53.2%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Compiler

Compiled 84 to 78 computations (7.1% saved)

simplify71.0ms (1.3%)

Memory
-14.2MiB live, 24.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- 1 z) (neg.f64 z))
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
cost-diff0
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
cost-diff0
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
cost-diff0
(+.f64 y x)
cost-diff0
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
cost-diff0
(neg.f64 z)
cost-diff0
(+.f64 y x)
cost-diff192
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))
Rules
1 728×lower-fma.f32
1 726×lower-fma.f64
480×lower-*.f32
474×lower-*.f64
384×lower-+.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019105
028105
147103
299103
3235103
4492103
5775103
61358103
71585103
81708103
91785103
101794103
111796103
121799103
131801103
01801103
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))
(+.f64 y x)
y
x
(neg.f64 z)
z
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
(+.f64 y x)
y
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
(+.f64 x y)
x
y
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z
Outputs
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
y
x
(neg.f64 z)
z
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
y
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 x y))
(+.f64 x y)
x
y
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z

localize43.0ms (0.8%)

Memory
14.5MiB live, 50.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x y)
accuracy0
(neg.f64 z)
accuracy0.01171875
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
accuracy31.129807413039117
#s(approx (- 1 z) (neg.f64 z))
accuracy0
(-.f64 #s(literal 1 binary64) z)
accuracy0.01953125
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
accuracy30.540058917000334
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
accuracy0
(-.f64 #s(literal 1 binary64) z)
accuracy0.0078125
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy29.912332422668936
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
accuracy0
(+.f64 y x)
accuracy31.533071665331846
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
accuracy0
(+.f64 y x)
accuracy0
(neg.f64 z)
accuracy0.00390625
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))
Samples
25.0ms256×0valid
Compiler

Compiled 86 to 15 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (48.8% of total)
ival-add: 3.0ms (24.4% of total)
ival-sub: 1.0ms (8.1% of total)
ival-neg: 1.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.5%)

Memory
-17.8MiB live, 25.7MiB allocated
Counts
12 → 312
Calls
Call 1
Inputs
#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())
Outputs
#s(alt (+ x y) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x y))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x y))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x y))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<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 (* -1 (* x (- z 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) 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) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) 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) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) 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) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) 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) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) 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) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) 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) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<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
10.0ms
x
@-inf
((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z))
2.0ms
x
@inf
((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z))
1.0ms
z
@inf
((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z))
1.0ms
z
@-inf
((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z))
1.0ms
y
@-inf
((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z))

simplify160.0ms (3%)

Memory
4.2MiB live, 199.0MiB allocated
Algorithm
egg-herbie
Rules
13 482×lower-fma.f64
13 482×lower-fma.f32
2 378×lower-*.f64
2 378×lower-*.f32
2 166×lower--.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01202083
14081606
211461606
336021606
469331606
081141606
Stop Event
iter limit
node limit
Counts
312 → 298
Calls
Call 1
Inputs
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
y
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* y z))
(* z (+ (* -1 y) (/ y z)))
(* z (+ (* -1 y) (/ y z)))
(* z (+ (* -1 y) (/ y z)))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (+ x y)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 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))
(* 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)
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(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
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(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
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(* y (+ 1 (/ x y)))
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(* -1 (* y (- (* -1 (/ x y)) 1)))
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(+ x y)
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(+ (* x (- 1 z)) (* y (- 1 z)))
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(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
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(+ x y)
(+.f64 y x)
(+ x y)
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(+ x y)
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(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
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(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
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(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
x
(* x (+ 1 (/ y x)))
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(*.f64 (-.f64 #s(literal 1 binary64) z) x)
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x
(* -1 (* x (- (* -1 (/ y x)) 1)))
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(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
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(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
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(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
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(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.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)

rewrite318.0ms (6%)

Memory
-0.1MiB live, 229.6MiB allocated
Rules
6 336×lower-fma.f32
6 334×lower-fma.f64
4 038×lower-*.f32
4 032×lower-*.f64
4 026×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01983
02883
19281
283381
0831581
Stop Event
iter limit
node limit
iter limit
Counts
12 → 736
Calls
Call 1
Inputs
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))
(+.f64 y x)
(neg.f64 z)
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
(+.f64 x y)
#s(approx (- 1 z) (neg.f64 z))
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 x y)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) 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))) (-.f64 #s(literal 1 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))) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 x y) (-.f64 y x))) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) 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 x y) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (+.f64 x y) y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (neg.f64 z) (+.f64 x y) y) x)))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 z) (+.f64 x y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (neg.f64 z) (+.f64 x y) y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (fma.f64 (neg.f64 z) (+.f64 x y) y))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x y) (+.f64 x y))))
(*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 y x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) z) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) z) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (-.f64 y x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (-.f64 x y))))
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(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) (+.f64 #s(literal 1 binary64) z))))
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(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(fma.f64 x #s(approx (- 1 z) (neg.f64 z)) (*.f64 y #s(approx (- 1 z) (neg.f64 z))))
(fma.f64 y #s(approx (- 1 z) (neg.f64 z)) (*.f64 x #s(approx (- 1 z) (neg.f64 z))))
(+.f64 (*.f64 x #s(approx (- 1 z) (neg.f64 z))) (*.f64 y #s(approx (- 1 z) (neg.f64 z))))
(+.f64 (*.f64 y #s(approx (- 1 z) (neg.f64 z))) (*.f64 x #s(approx (- 1 z) (neg.f64 z))))
(+.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
(+.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(*.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y x))))
(*.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (+.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 (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 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x)) (neg.f64 (-.f64 y x)))
(/.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.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 (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 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (+.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 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(neg.f64 (neg.f64 (+.f64 x y)))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(+.f64 x y)
(+.f64 y x)
#s(approx (- 1 z) (neg.f64 z))

eval203.0ms (3.8%)

Memory
31.0MiB live, 348.4MiB allocated
Compiler

Compiled 25 062 to 2 170 computations (91.3% saved)

prune31.0ms (0.6%)

Memory
-2.4MiB live, 84.5MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1 24161 247
Fresh101
Picked235
Done000
Total1 24491 253
Accuracy
100.0%
Counts
1 253 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.1%
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
51.3%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
53.3%
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
50.7%
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
52.3%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
27.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
29.8%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
27.7%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
25.2%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
Compiler

Compiled 93 to 101 computations (-8.6% saved)

simplify73.0ms (1.4%)

Memory
-5.0MiB live, 33.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- 1 z) (neg.f64 z))
cost-diff0
(*.f64 #s(approx (- 1 z) (neg.f64 z)) y)
cost-diff0
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- 1 z) (neg.f64 z))
cost-diff0
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
cost-diff0
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
cost-diff0
#s(approx (- 1 z) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
cost-diff0
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
cost-diff0
#s(approx (- 1 z) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) x x)
cost-diff0
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
Rules
1 712×lower-fma.f32
1 710×lower-fma.f64
528×lower-*.f32
520×lower-*.f64
392×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020148
027148
145148
276148
3162148
4368148
5888148
61390148
71754148
81940148
92028148
102036148
112040148
122046148
132050148
02050148
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
(fma.f64 (neg.f64 z) x x)
(neg.f64 z)
z
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
#s(approx (- 1 z) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
#s(approx (- 1 z) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) y)
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z
y
Outputs
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 (neg.f64 z) x x)
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(neg.f64 z)
z
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
#s(approx (- 1 z) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
#s(approx (- 1 z) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) y)
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z
y

localize43.0ms (0.8%)

Memory
6.9MiB live, 85.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 z)
accuracy0.01953125
(*.f64 #s(approx (- 1 z) (neg.f64 z)) y)
accuracy30.540058917000334
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
accuracy31.129807413039117
#s(approx (- 1 z) (neg.f64 z))
accuracy0
(neg.f64 z)
accuracy0.0078125
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
accuracy29.912332422668936
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
accuracy31.129807413039117
#s(approx (- 1 z) (neg.f64 z))
accuracy0.01953125
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
accuracy30.540058917000334
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
accuracy31.59015780685227
#s(approx (- 1 z) #s(literal 1 binary64))
accuracy0.0078125
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
accuracy29.912332422668936
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
accuracy31.59015780685227
#s(approx (- 1 z) #s(literal 1 binary64))
accuracy0
(fma.f64 (neg.f64 z) x x)
accuracy0
(neg.f64 z)
accuracy29.912332422668936
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
Samples
29.0ms256×0valid
Compiler

Compiled 91 to 14 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 9.0ms (55.1% of total)
ival-add: 3.0ms (18.4% of total)
ival-neg: 3.0ms (18.4% of total)
ival-sub: 1.0ms (6.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
-13.1MiB live, 25.8MiB allocated
Counts
13 → 336
Calls
Call 1
Inputs
#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())
#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) #<representation binary64>) () ())
Outputs
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 z))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 z))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 z))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 z))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- z 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- z 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- z 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- z 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.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) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.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) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.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) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.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) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.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) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.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) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify157.0ms (2.9%)

Memory
-25.4MiB live, 121.5MiB allocated
Algorithm
egg-herbie
Rules
11 076×lower-fma.f64
11 076×lower-fma.f32
3 200×lower-*.f64
3 200×lower-*.f32
1 772×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0752368
12521828
27171828
321211828
465991828
080601828
Stop Event
iter limit
node limit
Counts
336 → 331
Calls
Call 1
Inputs
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
y
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
y
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* x z))
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rewrite193.0ms (3.6%)

Memory
-10.7MiB live, 180.4MiB allocated
Rules
8 216×lower-fma.f32
8 214×lower-fma.f64
5 590×lower-*.f32
5 582×lower-*.f64
2 736×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020123
027123
180123
2494123
36378123
08986123
Stop Event
iter limit
node limit
iter limit
Counts
13 → 177
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
(fma.f64 (neg.f64 z) x x)
(neg.f64 z)
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
#s(approx (- 1 z) #s(literal 1 binary64))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
#s(approx (- 1 z) (neg.f64 z))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) y)
Outputs
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 z x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 z x x)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 z x x)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z z) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 z x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x))) (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x x) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x (*.f64 z x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (+.f64 x (*.f64 z x)) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 x (*.f64 z x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 x (*.f64 z x)) x) (-.f64 (*.f64 (+.f64 x (*.f64 z x)) x) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (pow.f64 (*.f64 z x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x))) (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x)))) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 (neg.f64 z) z #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (/.f64 (neg.f64 (fma.f64 z x x)) (neg.f64 (fma.f64 z x x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (neg.f64 (fma.f64 z x x)) (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal -1 binary64))))
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 z x) z))) (pow.f64 (+.f64 x (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal -1 binary64)) (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x))))
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x)))) (pow.f64 (neg.f64 (neg.f64 (fma.f64 z x x))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) x))
(*.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x))) (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 (+.f64 x (*.f64 z x)) (*.f64 x (-.f64 x (*.f64 (*.f64 z x) z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal -1 binary64))) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z z) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 z x) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 z x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) x) (-.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x) (-.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) x) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x))) #s(literal 1 binary64)) (neg.f64 (fma.f64 z x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)))
(/.f64 (*.f64 x (fma.f64 z z #s(literal -1 binary64))) (-.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 z z))) (-.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 (neg.f64 z) z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x) (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x)))) (*.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) (+.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (fma.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) (*.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 z x) z)))) (neg.f64 (+.f64 x (*.f64 z x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 z x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 z x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z z) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 z x) #s(literal 4 binary64))) (neg.f64 (fma.f64 z x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 z x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (*.f64 (neg.f64 (fma.f64 z x x)) (*.f64 x x))) (*.f64 (neg.f64 (fma.f64 z x x)) (neg.f64 (fma.f64 z x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 (fma.f64 z x x)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 z x) z))) (+.f64 x (*.f64 z x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (neg.f64 (fma.f64 z x x)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z z) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 z x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 z x) #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) (-.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x)))) (neg.f64 (neg.f64 (fma.f64 z x x))))
(/.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x))) (neg.f64 (fma.f64 z x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 z x)) (*.f64 x (-.f64 x (*.f64 (*.f64 z x) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)))
(/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x)))) (neg.f64 (fma.f64 z x x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 z x x)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x x) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x)))) (*.f64 (-.f64 #s(literal 1 binary64) z) x) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) z (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) z (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) z x)
(fma.f64 (*.f64 (*.f64 z x) z) (/.f64 x (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))
(fma.f64 (neg.f64 x) z (*.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) z (*.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 x) z x)
(fma.f64 (*.f64 z x) (/.f64 (*.f64 z x) (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))
(fma.f64 (*.f64 z x) #s(literal -1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 z x) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z x) #s(literal -1 binary64) x)
(fma.f64 #s(literal -1 binary64) (*.f64 z x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 z x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (*.f64 z x) x)
(fma.f64 (*.f64 z z) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))
(fma.f64 (*.f64 (*.f64 (neg.f64 z) x) x) (/.f64 (neg.f64 z) (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 z z) (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))
(fma.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))
(fma.f64 (*.f64 (neg.f64 z) x) (/.f64 (*.f64 (neg.f64 z) x) (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))
(fma.f64 (*.f64 (neg.f64 z) x) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 z) x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (neg.f64 z) x) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 z) (/.f64 (*.f64 (*.f64 (neg.f64 z) x) x) (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))
(fma.f64 (neg.f64 z) x (*.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 z) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 x #s(literal 1 binary64)))
(fma.f64 z (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) x))
(fma.f64 z (*.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(fma.f64 z (neg.f64 x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 z (neg.f64 x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 z (neg.f64 x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 z) x))
(fma.f64 x (/.f64 (*.f64 (*.f64 z x) z) (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))
(fma.f64 x (neg.f64 z) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x (neg.f64 z) (*.f64 #s(literal 1 binary64) x))
(fma.f64 x (neg.f64 z) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 z) x))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 z x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 z x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (+.f64 x (*.f64 z x))))
(-.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z x) x))
(-.f64 x (*.f64 z x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 z) x))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 z) x))
(+.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))
(+.f64 (*.f64 (neg.f64 z) x) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 z) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (neg.f64 z) x) x)
(+.f64 x (*.f64 (neg.f64 z) x))
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 z) #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 z))
(pow.f64 (/.f64 z (*.f64 (neg.f64 z) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) z)
(/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 0 binary64) (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 z) z) z)
(/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z)))))
(/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (neg.f64 z) z))
(/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))
(/.f64 (*.f64 z z) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64))))
(neg.f64 z)
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z z) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (neg.f64 z))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(+.f64 (neg.f64 z) #s(literal 0 binary64))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (- 1 z) #s(literal 1 binary64)))
#s(approx (- 1 z) #s(literal 1 binary64))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
(*.f64 y #s(approx (- 1 z) #s(literal 1 binary64)))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
(*.f64 x #s(approx (- 1 z) (neg.f64 z)))
#s(approx (- 1 z) (neg.f64 z))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) y)
(*.f64 y #s(approx (- 1 z) (neg.f64 z)))

eval70.0ms (1.3%)

Memory
18.5MiB live, 137.6MiB allocated
Compiler

Compiled 6 246 to 736 computations (88.2% saved)

prune15.0ms (0.3%)

Memory
6.7MiB live, 44.3MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New6160616
Fresh011
Picked055
Done033
Total6169625
Accuracy
100.0%
Counts
625 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.1%
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
51.3%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
53.3%
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
50.7%
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
52.3%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
27.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
29.8%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
27.7%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
25.2%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
Compiler

Compiled 55 to 60 computations (-9.1% saved)

simplify5.0ms (0.1%)

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

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- 1 z) (neg.f64 z))
cost-diff320
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
Rules
32×lower-+.f64
32×lower-+.f32
20×lower-fma.f32
20×lower-*.f32
18×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
01329
12429
23129
33629
44429
55429
66929
77229
07229
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z
y
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
x
Outputs
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z
y
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
(*.f64 x #s(approx (- 1 z) (neg.f64 z)))
x

localize21.0ms (0.4%)

Memory
4.1MiB live, 42.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 z)
accuracy0.0078125
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
accuracy0.7499917428166807
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
accuracy31.129807413039117
#s(approx (- 1 z) (neg.f64 z))
Samples
15.0ms256×0valid
Compiler

Compiled 26 to 11 computations (57.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (36.1% of total)
ival-sub: 2.0ms (24% of total)
ival-true: 1.0ms (12% of total)
ival-add: 1.0ms (12% of total)
ival-neg: 1.0ms (12% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-27.8MiB live, 10.6MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())
Outputs
#s(alt (+ x y) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ (* -1 x) (* -1 y))))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ (* -1 x) (* -1 y))))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ (* -1 x) (* -1 y))))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (* -1 y))) (taylor inf z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor inf z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x y))) (taylor -inf z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) (taylor -inf z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) (taylor -inf z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) (taylor -inf z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor -inf z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (* -1 (/ x z))))) (taylor -inf z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (* -1 (/ x z))))) (taylor -inf z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (* -1 (/ x z))))) (taylor -inf z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 z)) (taylor inf y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 z)) (taylor -inf y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 z)) (taylor 0 x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x))
0.0ms
x
@inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x))
0.0ms
x
@-inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x))
0.0ms
z
@-inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x))
0.0ms
z
@0
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x))

simplify103.0ms (1.9%)

Memory
38.6MiB live, 151.1MiB allocated
Algorithm
egg-herbie
Rules
7 710×lower-fma.f64
7 710×lower-fma.f32
2 466×lower-*.f64
2 466×lower-*.f32
1 410×lower--.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064538
1209485
2659404
31936404
45829404
08098404
Stop Event
iter limit
node limit
Counts
84 → 83
Calls
Call 1
Inputs
(+ x y)
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(* z (+ (* -1 x) (* -1 y)))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x 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 (/ (* x (- 1 z)) y)) z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (- (+ 1 (/ (* x (- 1 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))
(+ (* 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 (- 1 z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 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)))))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
Outputs
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
x
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* z (+ (* -1 x) (* -1 y)))
(*.f64 (-.f64 (neg.f64 y) x) z)
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 z)
(neg.f64 z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (/ x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* z (+ (* -1 x) (/ x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* z (+ (* -1 x) (/ x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* z (+ x y)))
(*.f64 (-.f64 (neg.f64 y) x) z)
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)

rewrite189.0ms (3.6%)

Memory
10.2MiB live, 282.6MiB allocated
Rules
5 398×lower-*.f32
5 396×lower-*.f64
4 686×lower-fma.f32
4 684×lower-fma.f64
2 390×lower-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0932
01326
14926
232526
3315822
0978222
Stop Event
iter limit
node limit
iter limit
Counts
4 → 160
Calls
Call 1
Inputs
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 4 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 6 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x))) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 6 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 9 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 6 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y #s(approx (- 1 z) z)) x) #s(approx (- 1 z) z)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(approx (- 1 z) z) (*.f64 (+.f64 x y) #s(approx (- 1 z) z))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (+.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y)) (-.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))) (*.f64 (+.f64 x y) #s(approx (- 1 z) z)))
(*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) #s(approx (- 1 z) z)) #s(approx (- 1 z) z)) (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (-.f64 y x)))
(*.f64 (-.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(approx (- 1 z) z) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 x y) #s(approx (- 1 z) z))
(*.f64 (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 x y) #s(approx (- 1 z) z)) (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 x y) #s(approx (- 1 z) z)) (pow.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 x y) #s(approx (- 1 z) z)) (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))
(*.f64 (*.f64 (+.f64 x y) #s(approx (- 1 z) z)) (*.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (pow.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) #s(literal -1 binary64))))
(*.f64 #s(approx (- 1 z) z) (+.f64 x y))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) #s(approx (- 1 z) z)))
(pow.f64 (/.f64 (*.f64 #s(approx (- 1 z) z) (-.f64 x y)) (-.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) #s(approx (- 1 z) z)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) #s(approx (- 1 z) z)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))) (*.f64 (*.f64 #s(approx (- 1 z) z) (-.f64 x y)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(approx (- 1 z) z) (-.f64 x y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) #s(approx (- 1 z) z)) (-.f64 y x)) (*.f64 (-.f64 y x) (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) #s(approx (- 1 z) z)))) (*.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) #s(approx (- 1 z) z)) (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)))) (*.f64 (-.f64 y x) (neg.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64))))) (*.f64 (-.f64 y x) (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) #s(approx (- 1 z) z)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (*.f64 (-.f64 y x) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) #s(approx (- 1 z) z)) (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))) (*.f64 (-.f64 y x) #s(literal 1 binary64))) (*.f64 (-.f64 y x) (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (-.f64 y x)) (*.f64 (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) #s(approx (- 1 z) z)))) (*.f64 (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (-.f64 y x)))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)))) (*.f64 (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (neg.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64))))) (*.f64 (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (*.f64 (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (-.f64 y x)) (*.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) #s(approx (- 1 z) z)))) (*.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (-.f64 y x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)))) (*.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (neg.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64))))) (*.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))) (*.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) #s(approx (- 1 z) z)))) (*.f64 (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (-.f64 y x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)))) (*.f64 (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (*.f64 (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))
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(fma.f64 (*.f64 y #s(approx (- 1 z) z)) (/.f64 (*.f64 y #s(approx (- 1 z) z)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z)))))
(fma.f64 x #s(approx (- 1 z) z) (*.f64 y #s(approx (- 1 z) z)))
(fma.f64 y (/.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z)))))
(fma.f64 y #s(approx (- 1 z) z) (*.f64 x #s(approx (- 1 z) z)))
(fma.f64 #s(approx (- 1 z) z) (/.f64 (*.f64 (*.f64 y #s(approx (- 1 z) z)) y) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z)))))
(fma.f64 #s(approx (- 1 z) z) x (*.f64 y #s(approx (- 1 z) z)))
(fma.f64 #s(approx (- 1 z) z) y (*.f64 x #s(approx (- 1 z) z)))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))) (/.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))))
(-.f64 (/.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 x y) #s(approx (- 1 z) z)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z)))))
(+.f64 (*.f64 y #s(approx (- 1 z) z)) (*.f64 x #s(approx (- 1 z) z)))
(+.f64 (*.f64 x #s(approx (- 1 z) z)) (*.f64 y #s(approx (- 1 z) z)))
#s(approx (- 1 z) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 (*.f64 z z) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 z #s(literal -1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) z)
(pow.f64 (/.f64 z (*.f64 z z)) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 z #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z z)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 4 binary64)))
(/.f64 (*.f64 z z) z)
(/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) #s(literal 0 binary64))))
(/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))
(neg.f64 z)
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 z #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) z #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) z) z)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(-.f64 #s(literal 0 binary64) z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(exp.f64 (log.f64 z))
(+.f64 #s(literal 0 binary64) z)
(+.f64 z #s(literal 0 binary64))
z
(*.f64 (exp.f64 (log.f64 #s(approx (- 1 z) z))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(approx (- 1 z) z))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 #s(approx (- 1 z) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(approx (- 1 z) z))
(*.f64 #s(approx (- 1 z) z) x)
(pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(approx (- 1 z) z))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(approx (- 1 z) z))))

eval51.0ms (1%)

Memory
-18.0MiB live, 57.6MiB allocated
Compiler

Compiled 5 606 to 599 computations (89.3% saved)

prune8.0ms (0.2%)

Memory
26.6MiB live, 26.6MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New2980298
Fresh000
Picked011
Done088
Total2989307
Accuracy
100.0%
Counts
307 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.1%
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
51.3%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
53.3%
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
50.7%
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
52.3%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
27.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
29.8%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
27.7%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
25.2%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
Compiler

Compiled 142 to 90 computations (36.6% saved)

regimes103.0ms (1.9%)

Memory
-38.9MiB live, 42.6MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Outputs
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))
Calls

6 calls:

44.0ms
x
5.0ms
y
4.0ms
(+.f64 x y)
4.0ms
z
4.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
100.0%1(+.f64 x y)
100.0%1(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes22.0ms (0.4%)

Memory
34.7MiB live, 34.7MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Calls

6 calls:

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

Compiled 16 to 25 computations (-56.3% saved)

regimes32.0ms (0.6%)

Memory
-29.3MiB live, 46.9MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
Outputs
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
Calls

6 calls:

11.0ms
(-.f64 #s(literal 1 binary64) z)
6.0ms
x
4.0ms
(+.f64 x y)
3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
86.8%2x
87.5%2y
98.4%3z
88.0%4(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
98.9%2(+.f64 x y)
98.4%3(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes3.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
Outputs
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
Calls

1 calls:

3.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
98.9%2(+.f64 x y)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes49.0ms (0.9%)

Memory
-11.4MiB live, 33.7MiB allocated
Counts
6 → 5
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Outputs
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
Calls

6 calls:

35.0ms
x
3.0ms
(+.f64 x y)
3.0ms
z
3.0ms
y
3.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Results
AccuracySegmentsBranch
72.0%3(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
71.4%3x
77.3%5y
78.4%3z
78.4%3(-.f64 #s(literal 1 binary64) z)
82.9%5(+.f64 x y)
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes8.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
5 → 4
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
Outputs
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
Calls

3 calls:

2.0ms
(+.f64 x y)
2.0ms
z
2.0ms
(-.f64 #s(literal 1 binary64) z)
Results
AccuracySegmentsBranch
78.9%4z
78.9%4(-.f64 #s(literal 1 binary64) z)
63.5%6(+.f64 x y)
Compiler

Compiled 7 to 12 computations (-71.4% saved)

regimes4.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
Outputs
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
Calls

2 calls:

2.0ms
z
2.0ms
(-.f64 #s(literal 1 binary64) z)
Results
AccuracySegmentsBranch
77.2%3z
77.2%3(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 4 to 8 computations (-100% saved)

regimes11.0ms (0.2%)

Memory
17.2MiB live, 17.2MiB allocated
Accuracy

Total -30.9b remaining (-97.9%)

Threshold costs -30.9b (-97.9%)

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

6 calls:

2.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
2.0ms
(+.f64 x y)
2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
50.7%1(+.f64 x y)
50.7%1x
50.7%1(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
50.7%1y
50.7%1(-.f64 #s(literal 1 binary64) z)
50.7%1z
Compiler

Compiled 16 to 25 computations (-56.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.462682308794343e-251
5.244944028842984e-187
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.462682308794343e-251
5.244944028842984e-187
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch13.0ms (0.2%)

Memory
-38.4MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.6629386899301186e+253
4.547438016501007e+254
0.0ms
1.43003647643745e+122
1.8784933746213365e+144
0.0ms
7.633528948489709e+53
1.083549734748093e+54
0.0ms
-5.462682308794343e-251
5.244944028842984e-187
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.111025592212713e+115
1.0511970763856859e+128
0.0ms
990742884.4329383
127723861104780.84
0.0ms
-134460263.83133864
0.9997715381225822
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch27.0ms (0.5%)

Memory
32.1MiB live, 32.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
0.00022846187741771605
134460264.83133864
12.0ms
-990742883.4329383
-0.03731534235721016
Samples
13.0ms320×0valid
Compiler

Compiled 210 to 293 computations (-39.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 2.0ms (35.4% of total)
ival-mult: 2.0ms (35.4% of total)
ival-sub: 1.0ms (17.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify76.0ms (1.4%)

Memory
-22.0MiB live, 50.5MiB allocated
Algorithm
egg-herbie
Rules
14×*-commutative-binary64-*.f64
+-commutative-binary64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
1-exp-binary32-exp.f32
1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056314
171314
274314
375314
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -1612226962694291/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704 binary64)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (+.f64 x y) #s(literal -1612226962694291/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (+.f64 x y) #s(literal -1612226962694291/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 (+.f64 x y) #s(literal 1000000000000000078291540404596243842305360299886116864 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 (+.f64 x y) #s(literal 200000000000000002881189517449054771166223724485662526027424629870997854138252263253726515251452912161010874366592467075072 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (if (<=.f64 (+.f64 x y) #s(literal 49999999999999996817935346888379588682128536637850367824197203616790781390263537744466934972934737889905175913047028462275753320826571678718861312047100027800908598513606192840644312187019991381769159869603315753887179791468998581205839848470245141381120 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -100000000 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1000000000 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))))
(if (<=.f64 z #s(literal -80 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
Outputs
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))
(fma.f64 (+.f64 x y) (neg.f64 z) (+.f64 x y))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -1612226962694291/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704 binary64)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (+.f64 x y) #s(literal -1612226962694291/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (+.f64 x y) #s(literal -1612226962694291/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 (+.f64 x y) #s(literal 1000000000000000078291540404596243842305360299886116864 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 (+.f64 x y) #s(literal 200000000000000002881189517449054771166223724485662526027424629870997854138252263253726515251452912161010874366592467075072 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (if (<=.f64 (+.f64 x y) #s(literal 49999999999999996817935346888379588682128536637850367824197203616790781390263537744466934972934737889905175913047028462275753320826571678718861312047100027800908598513606192840644312187019991381769159869603315753887179791468998581205839848470245141381120 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))))))
(if (<=.f64 (+.f64 x y) #s(literal -1612226962694291/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 (+.f64 x y) #s(literal 1000000000000000078291540404596243842305360299886116864 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 x y)) (if (<=.f64 (+.f64 x y) #s(literal 200000000000000002881189517449054771166223724485662526027424629870997854138252263253726515251452912161010874366592467075072 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (if (<=.f64 (+.f64 x y) #s(literal 49999999999999996817935346888379588682128536637850367824197203616790781390263537744466934972934737889905175913047028462275753320826571678718861312047100027800908598513606192840644312187019991381769159869603315753887179791468998581205839848470245141381120 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -100000000 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1000000000 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -100000000 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1000000000 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 x y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))))
(if (<=.f64 z #s(literal -80 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))))
(if (<=.f64 z #s(literal -80 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 x y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (+.f64 x y))

soundness1.2s (23.4%)

Memory
5.8MiB live, 586.5MiB allocated
Rules
13 482×lower-fma.f64
13 482×lower-fma.f32
12 146×lower-fma.f64
12 146×lower-fma.f32
6 336×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
01013
14113
230713
3403213
0959813
01202083
14081606
211461606
336021606
469331606
081141606
01983
02883
19281
283381
0831581
065407
1213326
2683326
32182326
45119326
57892326
08645326
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 268 to 164 computations (38.8% saved)

preprocess173.0ms (3.3%)

Memory
10.9MiB live, 87.4MiB allocated
Remove

(sort x y)

Compiler

Compiled 428 to 166 computations (61.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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