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

Time bar (total: 5.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

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

Compiled 9 to 9 computations (0% saved)

sample738.0ms (13.5%)

Memory
-8.7MiB live, 1 011.1MiB allocated
Samples
435.0ms8 255×0valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 180.0ms
ival-mult: 80.0ms (44.4% of total)
ival-add: 45.0ms (25% of total)
ival-sub: 42.0ms (23.3% of total)
ival-true: 5.0ms (2.8% of total)
exact: 5.0ms (2.8% of total)
ival-assert: 4.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain106.0ms (1.9%)

Memory
-13.7MiB live, 85.3MiB 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
37.0ms512×0valid
Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 18.0ms (74.3% of total)
ival-sub: 3.0ms (12.4% of total)
ival-add: 2.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess248.0ms (4.5%)

Memory
0.1MiB live, 78.0MiB 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
1.2MiB live, 1.2MiB 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)

simplify76.0ms (1.4%)

Memory
5.8MiB live, 46.2MiB 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

localize47.0ms (0.9%)

Memory
-11.6MiB live, 23.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) z)
accuracy0
(+.f64 x y)
accuracy0.00390625
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Samples
11.0ms256×0valid
Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (23.6% of total)
ival-add: 1.0ms (23.6% of total)
ival-mult: 1.0ms (23.6% 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
8.9MiB live, 8.9MiB 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
x
@-inf
((* (+ x y) (- 1 z)) (+ x y) (- 1 z))
0.0ms
y
@-inf
((* (+ x y) (- 1 z)) (+ x y) (- 1 z))

simplify293.0ms (5.4%)

Memory
8.6MiB live, 126.8MiB 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)

rewrite268.0ms (4.9%)

Memory
9.1MiB live, 201.3MiB 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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eval157.0ms (2.9%)

Memory
3.4MiB live, 229.7MiB allocated
Compiler

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

prune128.0ms (2.3%)

Memory
-10.1MiB live, 358.1MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New8965901
Fresh000
Picked101
Done000
Total8975902
Accuracy
100.0%
Counts
902 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
53.4%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
48.3%
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
53.3%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
50.6%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Compiler

Compiled 66 to 66 computations (0% saved)

simplify72.0ms (1.3%)

Memory
26.9MiB live, 66.2MiB 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
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff384
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Rules
1 728×lower-fma.f32
1 726×lower-fma.f64
480×lower-*.f32
474×lower-*.f64
384×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019110
027107
140107
270107
3150107
4348107
5546107
61020107
71427107
81529107
91633107
101722107
111730107
121732107
131735107
141737107
01737107
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
x
#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 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
#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))
#s(approx (* (+ x y) (- 1 z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(-.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))
#s(approx (* (+ x y) (- 1 z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(-.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

localize67.0ms (1.2%)

Memory
-16.8MiB live, 61.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x y)
accuracy0
(neg.f64 z)
accuracy0.00390625
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
accuracy29.855551326059828
#s(approx (- 1 z) (neg.f64 z))
accuracy0
(-.f64 #s(literal 1 binary64) z)
accuracy0.0078125
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
accuracy29.913928749945537
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
accuracy0
(-.f64 #s(literal 1 binary64) z)
accuracy0
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy31.636326629990705
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
accuracy0
(+.f64 y x)
accuracy33.10840471648238
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
accuracy0
(-.f64 #s(literal 1 binary64) z)
accuracy0
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy0.49999449521112044
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Samples
26.0ms256×0valid
Compiler

Compiled 91 to 14 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (36.7% of total)
ival-add: 3.0ms (27.5% of total)
ival-sub: 2.0ms (18.3% of total)
ival-neg: 1.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
12 → 312
Calls
Call 1
Inputs
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.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 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<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 (+.f64 y x) (patch (+.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 #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>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
Outputs
#s(alt (+ x y) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ (* -1 x) (* -1 y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ (* -1 x) (* -1 y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ (* -1 x) (* -1 y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.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 (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 (+ 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 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) (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 (* z (+ (* -1 x) (* -1 y))) (taylor inf z) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.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>) () ())) ())
#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 (* 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 (+ 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>) () ())) ())
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#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 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)) (* y (- 1 z))) (taylor 0 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)) (* y (- 1 z))) (taylor 0 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 (* y (- 1 z)) (taylor 0 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 z)) (* y (- 1 z))) (taylor 0 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 z)) (* y (- 1 z))) (taylor 0 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 z)) (* y (- 1 z))) (taylor 0 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 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 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.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 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 (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 (-.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 #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 (* x (- 1 z)) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.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 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.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 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.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 (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.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 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 (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 (-.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 #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
1.0ms
z
@-inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (* (- 1 z) x) (* (+ x y) (- 1 z)) (+ y x) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (neg z))
1.0ms
y
@inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (* (- 1 z) x) (* (+ x y) (- 1 z)) (+ y x) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (neg z))
1.0ms
z
@inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (* (- 1 z) x) (* (+ x y) (- 1 z)) (+ y x) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (neg z))
1.0ms
y
@-inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (* (- 1 z) x) (* (+ x y) (- 1 z)) (+ y x) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (neg z))
1.0ms
x
@-inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (* (- 1 z) x) (* (+ x y) (- 1 z)) (+ y x) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (neg z))

simplify142.0ms (2.6%)

Memory
-26.7MiB live, 137.8MiB allocated
Algorithm
egg-herbie
Rules
12 494×lower-fma.f64
12 494×lower-fma.f32
2 372×lower-*.f64
2 372×lower-*.f32
1 632×lower--.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0922083
13051606
28321606
326001606
463511606
083471606
Stop Event
iter limit
node limit
Counts
312 → 298
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))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x 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 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)
(* -1 z)
(* -1 z)
(* -1 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 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
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rewrite200.0ms (3.7%)

Memory
20.1MiB live, 297.6MiB allocated
Rules
6 514×lower-fma.f32
6 512×lower-fma.f64
4 778×lower-*.f32
4 772×lower-*.f64
3 328×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01984
02781
18581
266181
3797981
0831881
Stop Event
iter limit
node limit
iter limit
Counts
12 → 663
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(-.f64 #s(literal 1 binary64) z)
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
(+.f64 y x)
#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))
(*.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))
(neg.f64 z)
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 1 binary64) z)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) z)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) z)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 x y))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y))
(/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.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 (/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 x y))) (-.f64 y x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(neg.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (neg.f64 (-.f64 y x))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x y) (*.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 y x) (+.f64 x y))) (+.f64 x y) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (+.f64 x y) (*.f64 y y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(+.f64 x y)
(+.f64 y x)
#s(approx (- 1 z) (neg.f64 z))
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.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))
(/.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 z z))
(/.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 (neg.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 (neg.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 (neg.f64 z) #s(literal 3 binary64))))
(neg.f64 z)
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #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)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(+.f64 (neg.f64 z) #s(literal 0 binary64))

eval148.0ms (2.7%)

Memory
13.1MiB live, 356.6MiB allocated
Compiler

Compiled 21 584 to 1 977 computations (90.8% saved)

prune148.0ms (2.7%)

Memory
-11.8MiB live, 381.3MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1 23051 235
Fresh000
Picked145
Done000
Total1 23191 240
Accuracy
100.0%
Counts
1 240 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.6%
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
53.4%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
48.3%
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
53.3%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
50.6%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
26.8%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
31.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
28.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
21.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
Compiler

Compiled 87 to 96 computations (-10.3% saved)

simplify81.0ms (1.5%)

Memory
30.6MiB live, 69.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 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
(*.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
1 808×lower-fma.f32
1 806×lower-fma.f64
560×lower-*.f32
552×lower-*.f64
408×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019161
025155
140155
259155
3107155
4289155
5645155
6999155
71487155
81775155
91852155
102059155
112170155
122184155
132188155
142194155
152198155
02198155
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
#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
(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
#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))
#s(approx (* (+ x y) (- 1 z)) (*.f64 x #s(approx (- 1 z) (neg.f64 z))))
(*.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))
(neg.f64 z)
z
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 y #s(approx (- 1 z) (neg.f64 z))))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) y)
(*.f64 y #s(approx (- 1 z) (neg.f64 z)))
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z
y

localize49.0ms (0.9%)

Memory
-30.4MiB live, 78.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 z)
accuracy0.0078125
(*.f64 #s(approx (- 1 z) (neg.f64 z)) y)
accuracy29.855551326059828
#s(approx (- 1 z) (neg.f64 z))
accuracy29.913928749945537
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
accuracy0
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
accuracy0
(neg.f64 z)
accuracy29.855551326059828
#s(approx (- 1 z) (neg.f64 z))
accuracy31.636326629990705
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
accuracy0.0078125
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
accuracy29.913928749945537
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
accuracy33.20844422364191
#s(approx (- 1 z) #s(literal 1 binary64))
accuracy0
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
accuracy31.636326629990705
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
accuracy33.20844422364191
#s(approx (- 1 z) #s(literal 1 binary64))
accuracy0
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
accuracy0
(neg.f64 z)
accuracy0.49999449521112044
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
accuracy29.855551326059828
#s(approx (- 1 z) (neg.f64 z))
Samples
36.0ms256×0valid
Compiler

Compiled 98 to 13 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (50.1% of total)
ival-add: 2.0ms (20% of total)
ival-sub: 1.0ms (10% of total)
ival-neg: 1.0ms (10% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
-3.7MiB live, 35.6MiB allocated
Counts
12 → 312
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>) () ())
#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 #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 (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>) () ())) ())
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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)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<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)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* 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)) (* 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 (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 #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 #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 (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>) () ())) ())
#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 #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
y
@0
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x) (* (+ 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 z) y))
1.0ms
x
@-inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x) (* (+ 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 z) y))
1.0ms
y
@-inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x) (* (+ 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 z) y))
1.0ms
y
@inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x) (* (+ 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 z) y))
1.0ms
z
@inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x) (* (+ 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 z) y))

simplify120.0ms (2.2%)

Memory
-13.9MiB live, 180.5MiB allocated
Algorithm
egg-herbie
Rules
8 336×lower-fma.f64
8 336×lower-fma.f32
2 766×lower--.f64
2 766×lower--.f32
2 512×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0782233
12591714
27361714
320921714
464591714
080891714
Stop Event
iter limit
node limit
Counts
312 → 308
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)))
(+ 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 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)))
(* z (+ (* -1 x) (* -1 y)))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
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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))

rewrite209.0ms (3.8%)

Memory
14.0MiB live, 256.9MiB allocated
Rules
5 252×lower-fma.f32
5 250×lower-fma.f64
4 918×lower-*.f32
4 910×lower-*.f64
2 722×lower-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
019121
025115
177115
2502115
36307108
08755108
Stop Event
iter limit
node limit
iter limit
Counts
12 → 153
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)
#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))
#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
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (- 1 z) z)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (- 1 z) z)) (*.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y))
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(/.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)))) (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)))))
(/.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 (-.f64 y x) #s(approx (- 1 z) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (+.f64 x y) #s(approx (- 1 z) z)) #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))) (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 #s(approx (- 1 z) z) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (- 1 z) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (- 1 z) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1 z) z) (-.f64 x y)) (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) (*.f64 (-.f64 x y) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 x y) #s(approx (- 1 z) z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 x y) #s(approx (- 1 z) z)) #s(literal -1 binary64)))
(neg.f64 (/.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)))) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))
(neg.f64 (/.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)))) (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)))))
(neg.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))) (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)))))
(neg.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))) (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))))))
(fma.f64 (/.f64 (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 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))) (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 (/.f64 (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 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))) (*.f64 (+.f64 x y) #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 (/.f64 (*.f64 (*.f64 y #s(approx (- 1 z) z)) y) #s(approx (- 1 z) z)) (/.f64 #s(approx (- 1 z) z) (-.f64 y x)) (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 (/.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) #s(approx (- 1 z) z)) (/.f64 y (-.f64 y x)) (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 (/.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) #s(approx (- 1 z) z)) (/.f64 (*.f64 y y) (-.f64 y x)) (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 (/.f64 (*.f64 y y) #s(approx (- 1 z) z)) (/.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) (-.f64 y x)) (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 (/.f64 (*.f64 y #s(approx (- 1 z) z)) #s(approx (- 1 z) z)) (/.f64 (*.f64 y #s(approx (- 1 z) z)) (-.f64 y x)) (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 (/.f64 y #s(approx (- 1 z) z)) (/.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x)) (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 (/.f64 #s(approx (- 1 z) z) #s(approx (- 1 z) z)) (/.f64 (*.f64 (*.f64 y #s(approx (- 1 z) z)) y) (-.f64 y x)) (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 (*.f64 (*.f64 y #s(approx (- 1 z) z)) y) (/.f64 #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 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (/.f64 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 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) (/.f64 (*.f64 y 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 (*.f64 y y) (/.f64 (pow.f64 #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)))))
(fma.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) #s(literal -1 binary64)) (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 (*.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 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (*.f64 z z) (pow.f64 z #s(literal -1 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 (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 (*.f64 z 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 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64)) #s(literal 0 binary64))
(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 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)))
(+.f64 #s(literal 0 binary64) z)
(+.f64 z #s(literal 0 binary64))
z
(*.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)))
#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 x #s(approx (- 1 z) z)))
#s(approx (* (+ x y) (- 1 z)) (*.f64 y #s(approx (- 1 z) z)))
(*.f64 y #s(approx (- 1 z) z))
(*.f64 #s(approx (- 1 z) z) y)
(pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(approx (- 1 z) z))) #s(literal 1 binary64)))

eval129.0ms (2.4%)

Memory
9.7MiB live, 203.7MiB allocated
Compiler

Compiled 7 521 to 610 computations (91.9% saved)

prune106.0ms (1.9%)

Memory
-2.2MiB live, 119.2MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New6582660
Fresh000
Picked055
Done044
Total65811669
Accuracy
100.0%
Counts
669 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.6%
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
53.4%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
48.3%
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
53.3%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
50.6%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
26.8%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
31.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
3.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) y))
3.1%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x))
28.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
21.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
Compiler

Compiled 65 to 73 computations (-12.3% saved)

simplify70.0ms (1.3%)

Memory
-20.8MiB live, 55.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- 1 z) z)
cost-diff0
(*.f64 #s(approx (- 1 z) z) y)
cost-diff0
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) y))
cost-diff0
#s(approx (- 1 z) z)
cost-diff0
(*.f64 #s(approx (- 1 z) z) x)
cost-diff0
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x))
Rules
1 632×lower-fma.f64
1 632×lower-fma.f32
448×lower-*.f32
444×lower-*.f64
368×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01258
01458
12258
24058
38058
422158
551958
684358
7134258
8166858
9174058
10181758
11186558
12187158
13187358
14187658
15187858
0187858
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x))
(*.f64 #s(approx (- 1 z) z) x)
#s(approx (- 1 z) z)
z
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) y))
(*.f64 #s(approx (- 1 z) z) y)
#s(approx (- 1 z) z)
z
y
Outputs
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x))
(*.f64 #s(approx (- 1 z) z) x)
#s(approx (- 1 z) z)
z
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) y))
(*.f64 #s(approx (- 1 z) z) y)
#s(approx (- 1 z) z)
z
y

localize23.0ms (0.4%)

Memory
14.8MiB live, 53.8MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 #s(approx (- 1 z) z) y)
accuracy29.913928749945537
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) y))
accuracy62.62187736192769
#s(approx (- 1 z) z)
accuracy0
(*.f64 #s(approx (- 1 z) z) x)
accuracy31.636326629990705
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x))
accuracy62.62187736192769
#s(approx (- 1 z) z)
Samples
16.0ms256×0valid
Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (56.2% of total)
ival-sub: 1.0ms (14.1% of total)
ival-add: 1.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
16.5MiB live, 16.6MiB allocated
Counts
5 → 132
Calls
Call 1
Inputs
#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 z) z) x) (patch (*.f64 #s(approx (- 1 z) z) x) #<representation binary64>) () ())
#s(alt #s(approx (- 1 z) z) (patch #s(approx (- 1 z) z) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 z) z) y) (patch (*.f64 #s(approx (- 1 z) z) y) #<representation binary64>) () ())
Outputs
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) 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) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) 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) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) 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) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) z) x) (patch (*.f64 #s(approx (- 1 z) z) x) #<representation binary64>) () ())) ())
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#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 1 z) z) x) (patch (*.f64 #s(approx (- 1 z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 1 z) z) x) (patch (*.f64 #s(approx (- 1 z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 1 z) z) x) (patch (*.f64 #s(approx (- 1 z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 1 z) z) x) (patch (*.f64 #s(approx (- 1 z) z) x) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 z)) (taylor 0 x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) 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) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) 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) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) 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) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) 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) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) 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) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) 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) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) z) x) (patch (*.f64 #s(approx (- 1 z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) z) x) (patch (*.f64 #s(approx (- 1 z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) z) x) (patch (*.f64 #s(approx (- 1 z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) z) x) (patch (*.f64 #s(approx (- 1 z) 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) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) 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) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) 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) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) 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) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) 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) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) 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) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) 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) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) z) x) (patch (*.f64 #s(approx (- 1 z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) z) x) (patch (*.f64 #s(approx (- 1 z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) z) x) (patch (*.f64 #s(approx (- 1 z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) z) x) (patch (*.f64 #s(approx (- 1 z) 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) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) 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) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) 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) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) 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) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) y)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify144.0ms (2.6%)

Memory
-24.4MiB live, 178.7MiB allocated
Algorithm
egg-herbie
Rules
8 604×lower-fma.f64
8 604×lower-fma.f32
2 744×lower-*.f64
2 744×lower-*.f32
2 010×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071944
1236728
2686728
31948728
46271728
08325728
Stop Event
iter limit
node limit
Counts
132 → 130
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
(+ 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))
(* 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)))
(* -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)))))
(* x (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* x (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) 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))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* y (- 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))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* x (- 1 z))
(* x (- (+ 1 (/ (* 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))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- 1 z))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* 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)))))
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))
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)
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)
(+ 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))
y
(+ y (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ y (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ y (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -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 (* 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)
(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))
(* 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 (* y z))
(*.f64 (neg.f64 z) y)
(* z (+ (* -1 y) (/ y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* z (+ (* -1 y) (/ y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* z (+ (* -1 y) (/ y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -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 (* 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)
(* -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 (+ 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 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* z (+ y (* -1 (/ y z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (* z (+ y (* -1 (/ y z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (* z (+ y (* -1 (/ y z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* 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 (- 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 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* 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)
(* 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)
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* 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)
(* -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)
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* 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)
(* 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 (/ (* 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)
(* 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)
(* -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)
(* 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))

rewrite327.0ms (6%)

Memory
-12.7MiB live, 187.6MiB allocated
Rules
5 766×lower-*.f32
5 762×lower-*.f64
3 972×lower-/.f64
3 972×lower-/.f32
2 508×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01249
01449
14749
231349
3403249
0959349
Stop Event
iter limit
node limit
iter limit
Counts
5 → 7
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x))
(*.f64 #s(approx (- 1 z) z) x)
#s(approx (- 1 z) z)
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) y))
(*.f64 #s(approx (- 1 z) z) y)
Outputs
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x))
(*.f64 #s(approx (- 1 z) z) x)
(*.f64 x #s(approx (- 1 z) z))
#s(approx (- 1 z) z)
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) y))
(*.f64 #s(approx (- 1 z) z) y)
(*.f64 y #s(approx (- 1 z) z))

eval13.0ms (0.2%)

Memory
30.5MiB live, 30.5MiB allocated
Compiler

Compiled 1 058 to 50 computations (95.3% saved)

prune22.0ms (0.4%)

Memory
-20.5MiB live, 18.1MiB allocated
Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New1500150
Fresh000
Picked022
Done099
Total15011161
Accuracy
100.0%
Counts
161 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.6%
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
53.4%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
48.3%
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
53.3%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
50.6%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
26.8%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
31.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
3.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) y))
3.1%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x))
28.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
21.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
Compiler

Compiled 147 to 105 computations (28.6% saved)

regimes142.0ms (2.6%)

Memory
21.4MiB live, 59.7MiB 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) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) 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))
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(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
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Calls

6 calls:

119.0ms
z
5.0ms
y
5.0ms
x
5.0ms
(+.f64 x y)
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)

regimes139.0ms (2.5%)

Memory
1.6MiB live, 47.9MiB allocated
Counts
10 → 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) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) 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))
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
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

6 calls:

120.0ms
(+.f64 x y)
4.0ms
y
4.0ms
x
4.0ms
z
4.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Results
AccuracySegmentsBranch
82.5%2x
84.7%2y
98.3%3z
86.3%4(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
98.4%2(+.f64 x y)
98.3%3(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes130.0ms (2.4%)

Memory
-20.0MiB live, 59.0MiB allocated
Counts
8 → 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) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) 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 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
Calls

6 calls:

112.0ms
(+.f64 x y)
4.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
3.0ms
x
3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
71.3%4x
74.0%4(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
70.5%3y
78.8%4z
78.8%4(-.f64 #s(literal 1 binary64) z)
81.4%5(+.f64 x y)
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes9.0ms (0.2%)

Memory
22.1MiB live, 22.0MiB allocated
Counts
7 → 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) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) 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)) 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 #s(approx (- 1 z) (neg.f64 z)) x))
Calls

3 calls:

3.0ms
(+.f64 x y)
3.0ms
z
3.0ms
(-.f64 #s(literal 1 binary64) z)
Results
AccuracySegmentsBranch
78.2%4z
78.2%4(-.f64 #s(literal 1 binary64) z)
63.5%5(+.f64 x y)
Compiler

Compiled 7 to 12 computations (-71.4% saved)

regimes55.0ms (1%)

Memory
-27.4MiB live, 10.9MiB allocated
Counts
6 → 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) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) 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:

51.0ms
(-.f64 #s(literal 1 binary64) z)
3.0ms
z
Results
AccuracySegmentsBranch
76.3%3z
76.3%3(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 4 to 8 computations (-100% saved)

regimes18.0ms (0.3%)

Memory
-4.3MiB live, 36.2MiB allocated
Accuracy

Total -30.1b remaining (-90.9%)

Threshold costs -30.1b (-90.9%)

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

6 calls:

5.0ms
x
3.0ms
y
2.0ms
(+.f64 x y)
2.0ms
z
2.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Results
AccuracySegmentsBranch
48.3%1(+.f64 x y)
48.3%1x
48.3%1y
48.3%1(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
48.3%1z
48.3%1(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 16 to 25 computations (-56.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.9735103492038134e-232
1.2631431007973803e-282
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.153537458314684e+209
2.6858194542762103e+209
0.0ms
25288.425443723245
34182366043.78238
0.0ms
5.654653576290875e-149
5.6755250940981975e-133
0.0ms
-4.9735103492038134e-232
1.2631431007973803e-282
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.002020337485738
594485905227.1931
0.0ms
-3.586869435092715
1.0
0.0ms
-7.067869856037493e+166
-1.5142425422020217e+156
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.002020337485738
594485905227.1931
0.0ms
-3.586869435092715
1.0
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify26.0ms (0.5%)

Memory
10.7MiB live, 49.0MiB allocated
Algorithm
egg-herbie
Rules
12×*-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
044273
157273
260273
361273
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -5593535921577141/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 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 -5593535921577141/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 (+.f64 x y) #s(literal 5758609657015291/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 (+.f64 x y) #s(literal 50000 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (if (<=.f64 (+.f64 x y) #s(literal 200000000000000014622376436650970514223231907140841014008447524888222484447558570375072682028771482533522137599939526250669805583210486089341093816505694878087861152108555169467124923155709317562955769697009664 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #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 -50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024 binary64)) #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 -2 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 2 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 (-.f64 #s(literal 1 binary64) z) #s(literal -2 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 2 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
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(if (<=.f64 (+.f64 x y) #s(literal -5593535921577141/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 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 y x) #s(literal -5593535921577141/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 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 -5593535921577141/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 (+.f64 x y) #s(literal 5758609657015291/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 (+.f64 x y) #s(literal 50000 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (if (<=.f64 (+.f64 x y) #s(literal 200000000000000014622376436650970514223231907140841014008447524888222484447558570375072682028771482533522137599939526250669805583210486089341093816505694878087861152108555169467124923155709317562955769697009664 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))))))
(if (<=.f64 (+.f64 y x) #s(literal -5593535921577141/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 (+.f64 y x) #s(literal 5758609657015291/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 (+.f64 y x) #s(literal 50000 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (if (<=.f64 (+.f64 y x) #s(literal 200000000000000014622376436650970514223231907140841014008447524888222484447558570375072682028771482533522137599939526250669805583210486089341093816505694878087861152108555169467124923155709317562955769697009664 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #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 -50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024 binary64)) #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 -2 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 2 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 (-.f64 #s(literal 1 binary64) z) #s(literal -2 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 2 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))

soundness712.0ms (13%)

Memory
20.2MiB live, 337.0MiB allocated
Rules
12 494×lower-fma.f64
12 494×lower-fma.f32
12 146×lower-fma.f64
12 146×lower-fma.f32
2 722×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0922083
13051606
28321606
326001606
463511606
083471606
065407
1213326
2683326
32182326
45119326
57892326
08645326
Stop Event
done
iter limit
node limit
iter limit
node limit
Compiler

Compiled 194 to 110 computations (43.3% saved)

preprocess62.0ms (1.1%)

Memory
-4.9MiB live, 112.8MiB allocated
Remove

(sort x y)

Compiler

Compiled 336 to 122 computations (63.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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