Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, B

Time bar (total: 4.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 15 to 15 computations (0% saved)

sample1.0s (22.3%)

Memory
-10.3MiB live, 1 566.2MiB allocated
Samples
624.0ms8 252×0valid
0.0ms1valid
0.0ms3valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 386.0ms
ival-div: 152.0ms (39.3% of total)
ival-mult: 108.0ms (28% of total)
ival-add: 62.0ms (16% of total)
ival-sub: 41.0ms (10.6% of total)
exact: 12.0ms (3.1% of total)
ival-true: 7.0ms (1.8% of total)
ival-assert: 3.0ms (0.8% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain193.0ms (4.2%)

Memory
-3.2MiB live, 279.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (*.f64 y z) #s(literal 2 binary64))
00-0-#s(literal 8 binary64)
00-0-t
00-0-#s(literal 1 binary64)
00-0-z
00-0-#s(literal 2 binary64)
00-0-y
00-0-(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
00-0-(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
00-0-(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
00-0-(*.f64 y z)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
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
41.0ms512×0valid
Compiler

Compiled 111 to 43 computations (61.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (36.3% of total)
ival-div: 6.0ms (31.1% of total)
ival-sub: 2.0ms (10.4% of total)
ival-add: 2.0ms (10.4% of total)
ival-true: 1.0ms (5.2% of total)
exact: 1.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)

preprocess153.0ms (3.4%)

Memory
1.1MiB live, 79.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058164
1164155
2405154
31042154
42188154
52948154
63153154
73176154
83183154
93183154
103185154
113191154
01311
02011
13111
25711
310811
418911
531511
648611
766611
879811
980011
08009
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Outputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 x #s(literal 1/8 binary64) t))
Symmetry

(sort y z)

Compiler

Compiled 13 to 13 computations (0% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Compiler

Compiled 13 to 13 computations (0% saved)

simplify23.0ms (0.5%)

Memory
30.8MiB live, 30.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
cost-diff128
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
cost-diff384
(/.f64 (*.f64 y z) #s(literal 2 binary64))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
02039
13139
25739
310839
418939
531539
648639
766639
879839
980039
080036
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
#s(literal 1 binary64)
#s(literal 8 binary64)
x
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 y z)
y
z
#s(literal 2 binary64)
t
Outputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 x #s(literal 1/8 binary64) t))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(*.f64 x #s(literal 1/8 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 8 binary64)
x
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal 2 binary64)
t

localize193.0ms (4.2%)

Memory
-62.0MiB live, 52.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
accuracy0
(*.f64 y z)
accuracy0.00390625
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
accuracy0.00390625
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Samples
22.0ms256×0valid
Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 3.0ms (26.1% of total)
ival-add: 3.0ms (26.1% of total)
ival-mult: 3.0ms (26.1% of total)
ival-sub: 1.0ms (8.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory
22.8MiB live, 22.8MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())
Outputs
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt t (taylor inf t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt t (taylor -inf t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) (taylor -inf t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) (taylor -inf t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) (taylor -inf t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 z) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor inf z) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) (taylor inf z) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) (taylor inf z) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
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#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor 0 x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* -1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* -1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* -1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms
z
@inf
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms
y
@-inf
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms
z
@-inf
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms
x
@inf
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))

simplify148.0ms (3.3%)

Memory
-1.9MiB live, 189.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087958
1242958
2634958
31915958
45132958
08095855
Stop Event
iter limit
node limit
Counts
144 → 142
Calls
Call 1
Inputs
(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* -1/2 (* y z))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* -1/2 (* y z))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* -1/2 (* y z))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1/2 (* y z))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* -1/2 (* y z))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* -1/2 (* y z))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* -1/2 (* y z))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1/2 (* y z))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* y z)
(* y z)
(* y z)
(* y z)
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (* 1/8 x) (* 1/2 (* y z)))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* 1/8 x)
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* 1/8 x)
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
Outputs
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal 1/2 binary64))
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(* y z)
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(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
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(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
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(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
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(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
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(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
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(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
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(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
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(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
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(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
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(* 1/8 x)
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(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(* y z)
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(* 1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal 1/2 binary64))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* 1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal 1/2 binary64))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(- t (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
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(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
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(* 1/8 x)
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(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
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(*.f64 x #s(literal 1/8 binary64))
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(*.f64 x #s(literal 1/8 binary64))

rewrite217.0ms (4.8%)

Memory
25.3MiB live, 337.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
02032
16532
250332
3646932
0800429
Stop Event
iter limit
node limit
iter limit
Counts
6 → 280
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
Outputs
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eval82.0ms (1.8%)

Memory
-25.5MiB live, 142.5MiB allocated
Compiler

Compiled 9 935 to 875 computations (91.2% saved)

prune11.0ms (0.2%)

Memory
-0.9MiB live, 37.2MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4166422
Fresh000
Picked101
Done000
Total4176423
Accuracy
100.0%
Counts
423 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
64.8%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
66.2%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
69.2%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))
35.7%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
35.2%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Compiler

Compiled 80 to 98 computations (-22.5% saved)

simplify27.0ms (0.6%)

Memory
5.2MiB live, 42.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/2 binary64) z)
cost-diff0
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
cost-diff0
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
cost-diff0
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
cost-diff0
(fma.f64 x #s(literal 1/8 binary64) t)
cost-diff0
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
cost-diff0
(*.f64 x #s(literal 1/8 binary64))
cost-diff0
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
cost-diff0
(fma.f64 x #s(literal 1/8 binary64) t)
cost-diff0
(*.f64 z #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027124
037124
164120
298120
3150120
4231116
5381116
6546116
7721116
8851116
9853116
0853116
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
y
(fma.f64 x #s(literal 1/8 binary64) t)
x
#s(literal 1/8 binary64)
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x #s(literal 1/8 binary64))
x
#s(literal 1/8 binary64)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
(fma.f64 x #s(literal 1/8 binary64) t)
x
#s(literal 1/8 binary64)
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
#s(literal -1/2 binary64)
(*.f64 z y)
z
y
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
t
Outputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(*.f64 z #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)
z
#s(literal -1/2 binary64)
y
(fma.f64 x #s(literal 1/8 binary64) t)
(fma.f64 #s(literal 1/8 binary64) x t)
x
#s(literal 1/8 binary64)
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) x)
x
#s(literal 1/8 binary64)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 x #s(literal 1/8 binary64) t)
(fma.f64 #s(literal 1/8 binary64) x t)
x
#s(literal 1/8 binary64)
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y z) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(*.f64 (*.f64 y z) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 z y)
(*.f64 y z)
z
y
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
t

localize64.0ms (1.4%)

Memory
22.2MiB live, 139.8MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
accuracy0
(*.f64 #s(literal -1/2 binary64) z)
accuracy22.502492790771715
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
accuracy0
(*.f64 z y)
accuracy0
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
accuracy41.48897517235008
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
accuracy0
(fma.f64 x #s(literal 1/8 binary64) t)
accuracy21.661640970732098
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
accuracy0
(*.f64 x #s(literal 1/8 binary64))
accuracy41.12193983410132
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
accuracy0
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
accuracy0
(fma.f64 x #s(literal 1/8 binary64) t)
accuracy0
(*.f64 z #s(literal -1/2 binary64))
Samples
44.0ms256×0valid
Compiler

Compiled 117 to 27 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 17.0ms (64.9% of total)
ival-add: 4.0ms (15.3% of total)
ival-div: 3.0ms (11.5% of total)
ival-sub: 1.0ms (3.8% of total)
exact: 1.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series75.0ms (1.7%)

Memory
-36.3MiB live, 48.0MiB allocated
Counts
12 → 384
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())
#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (patch (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) z) (patch (*.f64 #s(literal -1/2 binary64) z) #<representation binary64>) () ())
Outputs
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor 0 t) (#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) #<representation binary64>) () ())) ())
#s(alt (+ t (* -1/2 (* y z))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) #<representation binary64>) () ())) ())
#s(alt (+ t (* -1/2 (* y z))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) #<representation binary64>) () ())) ())
#s(alt (+ t (* -1/2 (* y z))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) #<representation binary64>) () ())) ())
#s(alt t (taylor inf t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) (taylor inf t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) (taylor inf t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) (taylor inf t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt t (taylor inf t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (* 1/8 (/ x t)))) (taylor inf t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (* 1/8 (/ x t)))) (taylor inf t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (* 1/8 (/ x t)))) (taylor inf t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt t (taylor inf t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (/ t x))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (/ t x))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (/ t x))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
2.0ms
y
@inf
((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z))
1.0ms
z
@-inf
((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z))
1.0ms
z
@inf
((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z))
1.0ms
y
@-inf
((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z))
1.0ms
z
@0
((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z))

simplify148.0ms (3.2%)

Memory
-3.0MiB live, 193.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01252870
13892870
210332870
327562870
457312870
579522870
081382445
Stop Event
iter limit
node limit
Counts
384 → 367
Calls
Call 1
Inputs
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* 1/8 x)
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
t
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
t
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Outputs
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
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(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))
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(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
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(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
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(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
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(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
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rewrite201.0ms (4.4%)

Memory
16.8MiB live, 298.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027102
037102
114094
2100594
0817794
Stop Event
iter limit
node limit
iter limit
Counts
12 → 338
Calls
Call 1
Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(*.f64 z #s(literal -1/2 binary64))
(fma.f64 x #s(literal 1/8 binary64) t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x #s(literal 1/8 binary64))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(*.f64 z y)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) z)
Outputs
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eval139.0ms (3.1%)

Memory
13.8MiB live, 205.6MiB allocated
Compiler

Compiled 13 327 to 1 057 computations (92.1% saved)

prune30.0ms (0.7%)

Memory
11.3MiB live, 86.4MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New7581759
Fresh101
Picked145
Done000
Total7605765
Accuracy
100.0%
Counts
765 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.2%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))
64.8%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
66.2%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
35.7%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
35.2%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Compiler

Compiled 31 to 40 computations (-29% saved)

simplify4.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 1/8 binary64))
cost-diff0
#s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))
cost-diff0
(*.f64 z #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
01634
12334
23034
33234
03232
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
y
#s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x #s(literal 1/8 binary64))
x
#s(literal 1/8 binary64)
Outputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(approx (+ (* x 1/8) t) (*.f64 #s(literal 1/8 binary64) x)))
(*.f64 z #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)
z
#s(literal -1/2 binary64)
y
#s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (* x 1/8) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) x)
x
#s(literal 1/8 binary64)

localize29.0ms (0.6%)

Memory
-25.5MiB live, 57.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))
accuracy0
(*.f64 z #s(literal -1/2 binary64))
accuracy0
(*.f64 x #s(literal 1/8 binary64))
accuracy29.910933021784587
#s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))
Samples
19.0ms256×0valid
Compiler

Compiled 29 to 13 computations (55.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (64% of total)
ival-add: 2.0ms (25.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
20.7MiB live, 20.7MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 t) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt t (taylor inf t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) (taylor inf t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) (taylor inf t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) (taylor inf t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt t (taylor inf t) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (* 1/8 (/ x t)))) (taylor inf t) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (* 1/8 (/ x t)))) (taylor inf t) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (* 1/8 (/ x t)))) (taylor inf t) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt t (taylor -inf t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) (taylor -inf t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) (taylor -inf t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) (taylor -inf t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt t (taylor -inf t) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1/8 (/ x t)) 1))) (taylor -inf t) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1/8 (/ x t)) 1))) (taylor -inf t) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1/8 (/ x t)) 1))) (taylor -inf t) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor inf z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor inf z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor inf z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor inf z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor -inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor inf y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (* -1/2 (* y z))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt t (taylor 0 x) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (/ t x))) (taylor inf x) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (/ t x))) (taylor inf x) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (/ t x))) (taylor inf x) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (* x 1/8))
0.0ms
x
@inf
((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (* x 1/8))
0.0ms
z
@inf
((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (* x 1/8))
0.0ms
z
@-inf
((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (* x 1/8))
0.0ms
x
@0
((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (* x 1/8))

simplify140.0ms (3.1%)

Memory
-35.0MiB live, 206.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078624
1232624
2627624
31654624
43993624
57181624
08051530
Stop Event
iter limit
node limit
Counts
96 → 91
Calls
Call 1
Inputs
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* 1/8 x)
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(+ t (* 1/8 x))
t
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
t
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* 1/8 (/ x t))))
t
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
t
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* -1/2 (* y z))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
t
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* 1/8 x)
(* x (+ 1/8 (/ t x)))
(* x (+ 1/8 (/ t x)))
(* x (+ 1/8 (/ t x)))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
Outputs
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
t
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
t
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 x #s(literal 1/8 binary64) t)
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 x #s(literal 1/8 binary64) t)
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 x #s(literal 1/8 binary64) t)
t
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
t
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (* -1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
t
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (+ 1/8 (/ t x)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* x (+ 1/8 (/ t x)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* x (+ 1/8 (/ t x)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))

rewrite170.0ms (3.7%)

Memory
16.3MiB live, 326.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
01629
14829
232529
3329029
0821427
Stop Event
iter limit
node limit
iter limit
Counts
4 → 141
Calls
Call 1
Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))
(*.f64 z #s(literal -1/2 binary64))
#s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x #s(literal 1/8 binary64))
Outputs
#<batchref>
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eval88.0ms (1.9%)

Memory
-10.4MiB live, 70.4MiB allocated
Compiler

Compiled 5 997 to 456 computations (92.4% saved)

prune7.0ms (0.1%)

Memory
22.4MiB live, 22.4MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2320232
Fresh000
Picked011
Done044
Total2325237
Accuracy
100.0%
Counts
237 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.2%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))
64.8%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
66.2%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
35.7%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
35.2%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Compiler

Compiled 93 to 71 computations (23.7% saved)

regimes32.0ms (0.7%)

Memory
-14.1MiB live, 63.7MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Outputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
Calls

9 calls:

4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
4.0ms
x
3.0ms
t
3.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
100.0%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
100.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
100.0%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
100.0%1(*.f64 y z)
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes55.0ms (1.2%)

Memory
-7.8MiB live, 84.4MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))
Outputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))
Calls

9 calls:

29.0ms
t
5.0ms
y
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
88.0%4x
88.8%4y
85.8%3z
88.5%3t
79.6%3(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
86.6%3(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
88.0%4(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
90.5%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
90.5%3(*.f64 y z)
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes5.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))
Calls

2 calls:

2.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
90.5%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
90.5%3(*.f64 y z)
Compiler

Compiled 8 to 12 computations (-50% saved)

regimes5.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
Calls

2 calls:

2.0ms
(*.f64 y z)
2.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
88.7%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
88.7%3(*.f64 y z)
Compiler

Compiled 8 to 12 computations (-50% saved)

regimes24.0ms (0.5%)

Memory
-33.3MiB live, 43.9MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Calls

8 calls:

7.0ms
(*.f64 y z)
5.0ms
z
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
2.0ms
x
Results
AccuracySegmentsBranch
77.7%3z
71.0%3x
71.0%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
79.5%3(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
78.2%3y
70.7%3t
84.7%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
84.7%3(*.f64 y z)
Compiler

Compiled 28 to 48 computations (-71.4% saved)

regimes19.0ms (0.4%)

Memory
0.4MiB live, 43.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
Calls

9 calls:

5.0ms
t
2.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
2.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
66.2%1t
66.2%1x
66.2%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
66.2%1z
66.2%1y
66.2%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
66.2%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
66.2%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
66.2%1(*.f64 y z)
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes15.0ms (0.3%)

Memory
-0.2MiB live, 38.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
Calls

9 calls:

4.0ms
y
1.0ms
z
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
1.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
35.7%1y
35.7%1z
35.7%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
35.7%1(*.f64 y z)
35.7%1x
35.7%1t
35.7%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
35.7%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
35.7%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
Compiler

Compiled 41 to 61 computations (-48.8% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.803571155632659e-5
0.4315601127450529
0.0ms
-2.084519358202915e-65
-2.5604327287429224e-72
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.803571155632659e-5
0.4315601127450529
0.0ms
-2.084519358202915e-65
-2.5604327287429224e-72
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.3712996209633703e+33
3.1800589994119933e+42
0.0ms
-1.6563125726644902e+40
-1998096907067135.3
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.747732592032712e+143
3.0139193665254864e+151
0.0ms
-1.751982875232036e+141
-8.463752045270893e+139
Compiler

Compiled 16 to 20 computations (-25% saved)

simplify26.0ms (0.6%)

Memory
22.4MiB live, 61.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053296
162296
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(if (<=.f64 (*.f64 y z) #s(literal -4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (if (<=.f64 (*.f64 y z) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))
(if (<=.f64 (*.f64 y z) #s(literal -4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (if (<=.f64 (*.f64 y z) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))
(if (<=.f64 (*.f64 y z) #s(literal -10000000000000000303786028427003666890752 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (*.f64 y z) #s(literal 4999999999999999727876154935214080 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))))
(if (<=.f64 (*.f64 y z) #s(literal -1000000000000000016976219238238959704141045173573106739630601035115997744067216908958262325956255112879408454231155599236459402033650892537856 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (if (<=.f64 (*.f64 y z) #s(literal 1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
Outputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(if (<=.f64 (*.f64 y z) #s(literal -4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) (if (<=.f64 (*.f64 y z) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))
(if (<=.f64 (*.f64 y z) #s(literal -4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(approx (+ (* x 1/8) t) (*.f64 #s(literal 1/8 binary64) x))) (if (<=.f64 (*.f64 y z) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)))))
(if (<=.f64 (*.f64 y z) #s(literal -4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (if (<=.f64 (*.f64 y z) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))
(if (<=.f64 (*.f64 y z) #s(literal -4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))) (if (<=.f64 (*.f64 y z) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)))))
(if (<=.f64 (*.f64 y z) #s(literal -10000000000000000303786028427003666890752 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (*.f64 y z) #s(literal 4999999999999999727876154935214080 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))))
(if (<=.f64 (*.f64 y z) #s(literal -1000000000000000016976219238238959704141045173573106739630601035115997744067216908958262325956255112879408454231155599236459402033650892537856 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (if (<=.f64 (*.f64 y z) #s(literal 1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(if (<=.f64 (*.f64 y z) #s(literal -1000000000000000016976219238238959704141045173573106739630601035115997744067216908958262325956255112879408454231155599236459402033650892537856 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y z) #s(literal -1/2 binary64)))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

soundness1.1s (24.3%)

Memory
14.7MiB live, 486.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01252870
13892870
210332870
327562870
457312870
579522870
081382445
087958
1242958
2634958
31915958
45132958
08095855
01332
02032
16532
250332
3646932
0800429
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 232 to 143 computations (38.4% saved)

preprocess82.0ms (1.8%)

Memory
1.8MiB live, 158.1MiB allocated
Remove

(sort y z)

Compiler

Compiled 398 to 182 computations (54.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...