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

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze103.0ms (1.4%)

Memory
27.8MiB live, 105.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
50%49.9%49.9%0.2%0%0%0%5
50%49.9%49.9%0.2%0%0%0%6
50%49.9%49.9%0.2%0%0%0%7
50%49.9%49.9%0.2%0%0%0%8
75%74.9%25%0.2%0%0%0%9
75%74.9%25%0.2%0%0%0%10
75%74.9%25%0.2%0%0%0%11
75%74.9%25%0.2%0%0%0%12
Compiler

Compiled 11 to 11 computations (0% saved)

sample1.1s (15.7%)

Memory
-16.7MiB live, 1 569.6MiB allocated
Samples
707.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 354.0ms
ival-div: 164.0ms (46.4% of total)
ival-mult: 64.0ms (18.1% of total)
ival-sub: 60.0ms (17% of total)
ival-add: 51.0ms (14.4% of total)
ival-true: 7.0ms (2% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain79.0ms (1.1%)

Memory
17.4MiB live, 136.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 t #s(literal 2 binary64))
00-0-(-.f64 (+.f64 x y) z)
00-0-t
00-0-z
00-0-(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(+.f64 x y)
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
34.0ms512×0valid
Compiler

Compiled 88 to 40 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 4.0ms (28.7% of total)
ival-mult: 4.0ms (28.7% of total)
ival-sub: 3.0ms (21.5% of total)
ival-add: 3.0ms (21.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess212.0ms (2.9%)

Memory
20.7MiB live, 96.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046141
1170126
2511126
31660126
45370126
57727126
099
0139
1249
2489
3839
41669
53019
65879
713729
827339
946989
1050649
1151089
1251169
1351169
1455089
1556769
1656769
1756769
056769
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t))
Symmetry

(negabs t)

(sort x y)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
Compiler

Compiled 9 to 9 computations (0% saved)

simplify205.0ms (2.8%)

Memory
-30.0MiB live, 91.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
01325
12425
24825
38325
416625
530125
658725
7137225
8273325
9469825
10506425
11510825
12511625
13511625
14550825
15567625
16567625
17567625
0567625
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(-.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
(*.f64 t #s(literal 2 binary64))
t
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t))
(-.f64 (+.f64 x y) z)
(-.f64 (+.f64 y x) z)
(+.f64 x y)
(+.f64 y x)
x
y
z
(*.f64 t #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) t)
t
#s(literal 2 binary64)

localize24.0ms (0.3%)

Memory
3.3MiB live, 40.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x y)
accuracy0
(*.f64 t #s(literal 2 binary64))
accuracy0.00390625
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
accuracy0.00390625
(-.f64 (+.f64 x y) z)
Samples
18.0ms256×0valid
Compiler

Compiled 52 to 20 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (29.5% of total)
ival-add: 2.0ms (29.5% of total)
ival-mult: 2.0ms (29.5% of total)
ival-sub: 1.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
4 → 120
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor -inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor -inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor -inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor -inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ x y) t)) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) (taylor inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) (taylor inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) (taylor inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ y z)) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ y z)) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ y z)) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor -inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) (taylor -inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) (taylor -inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) (taylor -inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- x z) t)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) (taylor inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) (taylor inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) (taylor inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor -inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- y z) t)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify157.0ms (2.1%)

Memory
23.1MiB live, 174.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103650
1314650
2876650
32929650
47535650
08737650
Stop Event
iter limit
node limit
Counts
120 → 110
Calls
Call 1
Inputs
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ x y)
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* -1/2 (/ z t))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* 1/2 (/ (- x z) t))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(- x z)
(- (+ x y) z)
(- (+ x y) z)
(- (+ x y) z)
x
(+ x y)
(+ x y)
(+ x y)
(* 1/2 (/ y t))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
y
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* 1/2 (/ y t))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
y
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 1/2 (/ (- y z) t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(- y z)
(- (+ x y) z)
(- (+ x y) z)
(- (+ x y) z)
y
(+ x y)
(+ x y)
(+ x y)
(* 1/2 (/ x t))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
x
(* x (- (+ 1 (/ y x)) (/ z x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* 1/2 (/ x t))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
x
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* 2 t)
(*.f64 #s(literal 2 binary64) t)
(* 2 t)
(*.f64 #s(literal 2 binary64) t)
(* 2 t)
(*.f64 #s(literal 2 binary64) t)
(* 2 t)
(*.f64 #s(literal 2 binary64) t)
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* 2 t)
(*.f64 #s(literal 2 binary64) t)
(* 2 t)
(*.f64 #s(literal 2 binary64) t)
(* 2 t)
(*.f64 #s(literal 2 binary64) t)
(* 2 t)
(*.f64 #s(literal 2 binary64) t)
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* 2 t)
(*.f64 #s(literal 2 binary64) t)
(* 2 t)
(*.f64 #s(literal 2 binary64) t)
(* 2 t)
(*.f64 #s(literal 2 binary64) t)
(* 2 t)
(*.f64 #s(literal 2 binary64) t)
(* 1/2 (/ (+ x y) t))
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(+ x y)
(+.f64 y x)
(+ x (+ y (* -1 z)))
(-.f64 (+.f64 y x) z)
(+ x (+ y (* -1 z)))
(-.f64 (+.f64 y x) z)
(+ x (+ y (* -1 z)))
(-.f64 (+.f64 y x) z)
(* -1/2 (/ z t))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ x z) (/ y z)) 1))
(-.f64 (+.f64 y x) z)
(* z (- (+ (/ x z) (/ y z)) 1))
(-.f64 (+.f64 y x) z)
(* z (- (+ (/ x z) (/ y z)) 1))
(-.f64 (+.f64 y x) z)
(* -1/2 (/ z t))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(-.f64 (+.f64 y x) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(-.f64 (+.f64 y x) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(-.f64 (+.f64 y x) z)
(* 1/2 (/ (- x z) t))
(*.f64 (/.f64 (-.f64 x z) t) #s(literal 1/2 binary64))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(- x z)
(-.f64 x z)
(- (+ x y) z)
(-.f64 (+.f64 y x) z)
(- (+ x y) z)
(-.f64 (+.f64 y x) z)
(- (+ x y) z)
(-.f64 (+.f64 y x) z)
x
(+ x y)
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(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* 1/2 (/ y t))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
y
(* y (- (+ 1 (/ x y)) (/ z y)))
(-.f64 (+.f64 y x) z)
(* y (- (+ 1 (/ x y)) (/ z y)))
(-.f64 (+.f64 y x) z)
(* y (- (+ 1 (/ x y)) (/ z y)))
(-.f64 (+.f64 y x) z)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* 1/2 (/ y t))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
y
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(-.f64 (+.f64 y x) z)
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(-.f64 (+.f64 y x) z)
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(-.f64 (+.f64 y x) z)
y
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(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(- y z)
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(- (+ x y) z)
(-.f64 (+.f64 y x) z)
(- (+ x y) z)
(-.f64 (+.f64 y x) z)
(- (+ x y) z)
(-.f64 (+.f64 y x) z)
y
(+ x y)
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(+ x y)
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(+ x y)
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(* 1/2 (/ x t))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
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(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
x
(* x (- (+ 1 (/ y x)) (/ z x)))
(-.f64 (+.f64 y x) z)
(* x (- (+ 1 (/ y x)) (/ z x)))
(-.f64 (+.f64 y x) z)
(* x (- (+ 1 (/ y x)) (/ z x)))
(-.f64 (+.f64 y x) z)
x
(* x (+ 1 (/ y x)))
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(* x (+ 1 (/ y x)))
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(* 1/2 (/ x t))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
x
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(-.f64 (+.f64 y x) z)
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(-.f64 (+.f64 y x) z)
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(-.f64 (+.f64 y x) z)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)

rewrite237.0ms (3.2%)

Memory
-10.7MiB live, 228.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
01320
15720
247320
3779320
0823220
Stop Event
iter limit
node limit
iter limit
Counts
4 → 505
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(-.f64 (+.f64 x y) z)
(+.f64 x y)
(*.f64 t #s(literal 2 binary64))
Outputs
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eval138.0ms (1.9%)

Memory
-11.4MiB live, 273.6MiB allocated
Compiler

Compiled 13 143 to 1 485 computations (88.7% saved)

prune20.0ms (0.3%)

Memory
-8.5MiB live, 68.2MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New6078615
Fresh000
Picked101
Done000
Total6088616
Accuracy
100.0%
Counts
616 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.0%
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
67.4%
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
71.9%
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
34.2%
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
99.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
37.7%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
39.3%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
34.1%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
Compiler

Compiled 116 to 138 computations (-19% saved)

simplify136.0ms (1.9%)

Memory
28.5MiB live, 111.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 t #s(literal 2 binary64))
cost-diff0
(-.f64 y z)
cost-diff0
#s(approx (- (+ x y) z) (-.f64 y z))
cost-diff0
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
cost-diff0
(*.f64 t #s(literal 2 binary64))
cost-diff0
(+.f64 y x)
cost-diff0
#s(approx (- (+ x y) z) (+.f64 y x))
cost-diff0
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) t)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
cost-diff0
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
cost-diff0
(/.f64 #s(literal -1/2 binary64) t)
cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
cost-diff0
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
cost-diff0
(+.f64 y x)
cost-diff0
(-.f64 (+.f64 y x) z)
cost-diff0
(/.f64 t (-.f64 (+.f64 y x) z))
cost-diff384
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027145
039145
167145
2119145
3215145
4373145
5630145
61206145
72526145
84311145
95919145
107483145
117655145
127714145
137756145
08004145
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
#s(literal 1/2 binary64)
(/.f64 t (-.f64 (+.f64 y x) z))
t
(-.f64 (+.f64 y x) z)
(+.f64 y x)
y
x
z
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(/.f64 #s(literal -1/2 binary64) t)
#s(literal -1/2 binary64)
t
z
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
(/.f64 #s(literal 1/2 binary64) t)
#s(literal 1/2 binary64)
t
y
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
#s(approx (- (+ x y) z) (+.f64 y x))
(+.f64 y x)
y
x
(*.f64 t #s(literal 2 binary64))
t
#s(literal 2 binary64)
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
#s(approx (- (+ x y) z) (-.f64 y z))
(-.f64 y z)
y
z
(*.f64 t #s(literal 2 binary64))
t
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
(*.f64 (-.f64 (-.f64 z y) x) (/.f64 #s(literal -1/2 binary64) t))
#s(literal 1/2 binary64)
(/.f64 t (-.f64 (+.f64 y x) z))
(/.f64 t (-.f64 (+.f64 x y) z))
t
(-.f64 (+.f64 y x) z)
(-.f64 (+.f64 x y) z)
(+.f64 y x)
(+.f64 x y)
y
x
z
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(*.f64 (/.f64 z t) #s(literal -1/2 binary64))
(/.f64 #s(literal -1/2 binary64) t)
#s(literal -1/2 binary64)
t
z
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
(/.f64 #s(literal 1/2 binary64) t)
#s(literal 1/2 binary64)
t
y
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 #s(literal 2 binary64) t))
#s(approx (- (+ x y) z) (+.f64 y x))
#s(approx (- (+ x y) z) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
y
x
(*.f64 t #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) t)
t
#s(literal 2 binary64)
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 #s(literal 2 binary64) t))
#s(approx (- (+ x y) z) (-.f64 y z))
(-.f64 y z)
y
z
(*.f64 t #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) t)
t
#s(literal 2 binary64)

localize129.0ms (1.8%)

Memory
-21.9MiB live, 93.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y z)
accuracy0
(*.f64 t #s(literal 2 binary64))
accuracy0.00390625
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
accuracy21.633454262084268
#s(approx (- (+ x y) z) (-.f64 y z))
accuracy0
(+.f64 y x)
accuracy0
(*.f64 t #s(literal 2 binary64))
accuracy0.00390625
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
accuracy19.686278320338886
#s(approx (- (+ x y) z) (+.f64 y x))
accuracy0
(/.f64 #s(literal 1/2 binary64) t)
accuracy0.19921875
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
accuracy39.84925979262123
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
accuracy0
(/.f64 #s(literal -1/2 binary64) t)
accuracy0.23828125
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
accuracy42.12664802487382
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
accuracy0
(+.f64 y x)
accuracy0.00390625
(-.f64 (+.f64 y x) z)
accuracy0.0078125
(/.f64 t (-.f64 (+.f64 y x) z))
accuracy0.14453125
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
Samples
112.0ms256×0valid
Compiler

Compiled 226 to 45 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 80.0ms (83.7% of total)
ival-div: 8.0ms (8.4% of total)
ival-sub: 4.0ms (4.2% of total)
ival-add: 3.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series66.0ms (0.9%)

Memory
-9.3MiB live, 69.9MiB allocated
Counts
16 → 528
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())
#s(alt (/.f64 t (-.f64 (+.f64 y x) z)) (patch (/.f64 t (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 y x) z) (patch (-.f64 (+.f64 y x) z) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) t) (patch (/.f64 #s(literal -1/2 binary64) t) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (/ t (- (+ x y) z)) (taylor 0 t) (#s(alt (/.f64 t (-.f64 (+.f64 y x) z)) (patch (/.f64 t (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ t (- (+ x y) z)) (taylor 0 t) (#s(alt (/.f64 t (-.f64 (+.f64 y x) z)) (patch (/.f64 t (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ t (- (+ x y) z)) (taylor 0 t) (#s(alt (/.f64 t (-.f64 (+.f64 y x) z)) (patch (/.f64 t (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ t (- (+ x y) z)) (taylor 0 t) (#s(alt (/.f64 t (-.f64 (+.f64 y x) z)) (patch (/.f64 t (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1/2 binary64) t) (patch (/.f64 #s(literal -1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1/2 binary64) t) (patch (/.f64 #s(literal -1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1/2 binary64) t) (patch (/.f64 #s(literal -1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1/2 binary64) t) (patch (/.f64 #s(literal -1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (/ t (- (+ x y) z)) (taylor inf t) (#s(alt (/.f64 t (-.f64 (+.f64 y x) z)) (patch (/.f64 t (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ t (- (+ x y) z)) (taylor inf t) (#s(alt (/.f64 t (-.f64 (+.f64 y x) z)) (patch (/.f64 t (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ t (- (+ x y) z)) (taylor inf t) (#s(alt (/.f64 t (-.f64 (+.f64 y x) z)) (patch (/.f64 t (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ t (- (+ x y) z)) (taylor inf t) (#s(alt (/.f64 t (-.f64 (+.f64 y x) z)) (patch (/.f64 t (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ())) ())
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#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (/ t x) (taylor -inf x) (#s(alt (/.f64 t (-.f64 (+.f64 y x) z)) (patch (/.f64 t (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 t) (/ (* t (- y z)) x)) x)) (taylor -inf x) (#s(alt (/.f64 t (-.f64 (+.f64 y x) z)) (patch (/.f64 t (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- y z) 2)) x) (* t (- y z))) x))) x)) (taylor -inf x) (#s(alt (/.f64 t (-.f64 (+.f64 y x) z)) (patch (/.f64 t (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x)) (taylor -inf x) (#s(alt (/.f64 t (-.f64 (+.f64 y x) z)) (patch (/.f64 t (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 y x) z) (patch (-.f64 (+.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 y x) z) (patch (-.f64 (+.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 y x) z) (patch (-.f64 (+.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 y x) z) (patch (-.f64 (+.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
21.0ms
y
@-inf
((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (* t 2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z))
8.0ms
x
@0
((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (* t 2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z))
4.0ms
t
@0
((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (* t 2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z))
4.0ms
x
@inf
((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (* t 2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z))
2.0ms
t
@inf
((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (* t 2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z))

simplify196.0ms (2.7%)

Memory
9.7MiB live, 194.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03124801
19464742
227774626
084654510
Stop Event
iter limit
node limit
Counts
528 → 507
Calls
Call 1
Inputs
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(/ t (+ x y))
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2)))
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y)))
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y)))
(+ x y)
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ x y)
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ x y)
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* -1/2 (/ z t))
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(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
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(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x)
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x)
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x)
x
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x)))
(* 1/2 (/ x t))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x)
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x)
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x)
x
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x)))

rewrite268.0ms (3.7%)

Memory
-0.2MiB live, 153.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027120
039120
1166120
21088120
08532120
Stop Event
iter limit
node limit
iter limit
Counts
16 → 883
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
(/.f64 t (-.f64 (+.f64 y x) z))
(-.f64 (+.f64 y x) z)
(+.f64 y x)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(/.f64 #s(literal -1/2 binary64) t)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
(/.f64 #s(literal 1/2 binary64) t)
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
#s(approx (- (+ x y) z) (+.f64 y x))
(*.f64 t #s(literal 2 binary64))
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
#s(approx (- (+ x y) z) (-.f64 y z))
(-.f64 y z)
Outputs
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eval448.0ms (6.1%)

Memory
-3.1MiB live, 267.3MiB allocated
Compiler

Compiled 23 547 to 2 940 computations (87.5% saved)

prune132.0ms (1.8%)

Memory
-3.1MiB live, 75.8MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1 47731 480
Fresh123
Picked235
Done000
Total1 48081 488
Accuracy
100.0%
Counts
1 488 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.0%
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
67.4%
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
71.9%
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
39.3%
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x)))
37.7%
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
34.2%
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
37.7%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
39.3%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
Compiler

Compiled 86 to 108 computations (-25.6% saved)

simplify288.0ms (3.9%)

Memory
28.5MiB live, 65.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
030140
041140
165140
298140
3136140
4227140
5390140
6706140
71528140
83068140
94682140
106131140
116211140
126239140
136257140
146705140
156893140
166893140
176893140
186953140
197189140
207224140
217226140
227228140
237232140
07232140
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
#s(approx (- (+ x y) z) (-.f64 x z))
(-.f64 x z)
x
z
(*.f64 t #s(literal 2 binary64))
t
#s(literal 2 binary64)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
(/.f64 #s(literal 1/2 binary64) t)
#s(literal 1/2 binary64)
t
x
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
t
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
t
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x)))
#s(literal 1/2 binary64)
#s(approx (/ t (- (+ y x) z)) (/.f64 t x))
(/.f64 t x)
t
x
Outputs
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z)))
#s(approx (- (+ x y) z) (-.f64 x z))
(-.f64 x z)
x
z
(*.f64 t #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) t)
t
#s(literal 2 binary64)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) t)
#s(literal 1/2 binary64)
t
x
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(*.f64 (/.f64 z t) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
t
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
(*.f64 (/.f64 y t) #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(literal 1/2 binary64)
t
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x)))
#s(literal 1/2 binary64)
#s(approx (/ t (- (+ y x) z)) (/.f64 t x))
(/.f64 t x)
t
x

localize256.0ms (3.5%)

Memory
-38.2MiB live, 92.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 t x)
accuracy0.14453125
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x)))
accuracy37.42485639110718
#s(approx (/ t (- (+ y x) z)) (/.f64 t x))
accuracy0
(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
accuracy0
(*.f64 y #s(literal 1/2 binary64))
accuracy39.84925979262123
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
accuracy0
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
accuracy0
(*.f64 #s(literal -1/2 binary64) z)
accuracy42.12664802487382
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
accuracy0
(/.f64 #s(literal 1/2 binary64) t)
accuracy0.18359375
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
accuracy38.77124036626047
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
accuracy0
(-.f64 x z)
accuracy0
(*.f64 t #s(literal 2 binary64))
accuracy0.00390625
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
accuracy21.94770328407093
#s(approx (- (+ x y) z) (-.f64 x z))
Samples
98.0ms256×0valid
Compiler

Compiled 197 to 48 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-div: 70.0ms (84.5% of total)
ival-mult: 6.0ms (7.2% of total)
ival-sub: 4.0ms (4.8% of total)
ival-add: 3.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series127.0ms (1.7%)

Memory
15.7MiB live, 51.7MiB allocated
Counts
16 → 492
Calls
Call 1
Inputs
#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x y) z) (-.f64 x z)) (patch #s(approx (- (+ x y) z) (-.f64 x z)) #<representation binary64>) () ())
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())
#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) (patch (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) z) (patch (*.f64 #s(literal -1/2 binary64) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y #s(literal 1/2 binary64)) t) (patch (/.f64 (*.f64 y #s(literal 1/2 binary64)) t) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) #<representation binary64>) () ())
#s(alt #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) (patch #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) #<representation binary64>) () ())
#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) (patch (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) (patch (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) (patch (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) (patch (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (/.f64 (*.f64 y #s(literal 1/2 binary64)) t) (patch (/.f64 (*.f64 y #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (/.f64 (*.f64 y #s(literal 1/2 binary64)) t) (patch (/.f64 (*.f64 y #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (/.f64 (*.f64 y #s(literal 1/2 binary64)) t) (patch (/.f64 (*.f64 y #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (/.f64 (*.f64 y #s(literal 1/2 binary64)) t) (patch (/.f64 (*.f64 y #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) #<representation binary64>) () ())) ())
#s(alt (/ t (- (+ x y) z)) (taylor 0 t) (#s(alt #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) (patch #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ t (- (+ x y) z)) (taylor 0 t) (#s(alt #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) (patch #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ t (- (+ x y) z)) (taylor 0 t) (#s(alt #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) (patch #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ t (- (+ x y) z)) (taylor 0 t) (#s(alt #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) (patch #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ t x) (taylor 0 t) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ())
#s(alt (/ t x) (taylor 0 t) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 x z)) (patch #s(approx (- (+ x y) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 x z)) (patch #s(approx (- (+ x y) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 x z)) (patch #s(approx (- (+ x y) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 x z)) (patch #s(approx (- (+ x y) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x))) #<representation binary64>) () ())) ())
#s(alt (/ t x) (taylor -inf x) (#s(alt #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) (patch #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 t) (/ (* t (- y z)) x)) x)) (taylor -inf x) (#s(alt #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) (patch #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- y z) 2)) x) (* t (- y z))) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) (patch #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) (patch #s(approx (/ t (- (+ y x) z)) (/.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ t x) (taylor -inf x) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ())
#s(alt (/ t x) (taylor -inf x) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ())
#s(alt (/ t x) (taylor -inf x) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ())
#s(alt (/ t x) (taylor -inf x) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify358.0ms (4.9%)

Memory
6.1MiB live, 243.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03044413
19124360
226904268
081824170
Stop Event
iter limit
node limit
Counts
492 → 485
Calls
Call 1
Inputs
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(/ t x)
(/ t x)
(/ t x)
(/ t x)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(/ t x)
(/ t x)
(/ t x)
(/ t x)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(/ t (- (+ x y) z))
(/ t x)
(/ t x)
(/ t x)
(/ t x)
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ x y)
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(/ t (+ x y))
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2)))
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y)))
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y)))
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* -1 (/ t z))
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z)
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(* -1/2 (/ z t))
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Outputs
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rewrite285.0ms (3.9%)

Memory
9.8MiB live, 208.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030124
041124
1170124
21044124
08469124
Stop Event
iter limit
node limit
iter limit
Counts
16 → 293
Calls
Call 1
Inputs
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
#s(approx (- (+ x y) z) (-.f64 x z))
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(/.f64 #s(literal 1/2 binary64) t)
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
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#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
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Outputs
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eval287.0ms (3.9%)

Memory
-26.3MiB live, 253.2MiB allocated
Compiler

Compiled 8 499 to 1 096 computations (87.1% saved)

prune25.0ms (0.3%)

Memory
28.3MiB live, 105.5MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New7771778
Fresh000
Picked145
Done033
Total7788786
Accuracy
100.0%
Counts
786 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.0%
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
67.4%
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
71.9%
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
39.3%
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x)))
37.7%
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
39.4%
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
34.2%
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
37.7%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
Compiler

Compiled 54 to 67 computations (-24.1% saved)

simplify162.0ms (2.2%)

Memory
-21.0MiB live, 65.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01326
01526
12926
25626
39226
417526
531726
660426
7139826
8283726
9475826
10511626
11516026
12516826
13516826
14556026
15572826
16572826
17572826
0572826
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
t
Outputs
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
t

localize47.0ms (0.6%)

Memory
13.5MiB live, 52.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy38.77124036626047
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
Samples
41.0ms256×0valid
Compiler

Compiled 39 to 22 computations (43.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 3.0ms (30.5% of total)
ival-mult: 3.0ms (30.5% of total)
ival-add: 2.0ms (20.3% of total)
ival-sub: 1.0ms (10.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-15.7MiB live, 21.0MiB allocated
Counts
3 → 84
Calls
Call 1
Inputs
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf t) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf t) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf t) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf t) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf t) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf t) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf t) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf t) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ x y) t)) (taylor 0 z) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor inf z) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) (taylor inf z) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) (taylor inf z) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) (taylor inf z) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor -inf z) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) (taylor -inf z) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) (taylor -inf z) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) (taylor -inf z) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- x z) t)) (taylor 0 y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) (taylor 0 y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) (taylor 0 y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) (taylor 0 y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor inf y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) (taylor inf y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) (taylor inf y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) (taylor inf y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor -inf y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) (taylor -inf y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) (taylor -inf y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) (taylor -inf y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- y z) t)) (taylor 0 x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
5.0ms
x
@0
((/ (- (+ x y) z) (* t 2)) (/ (* 1/2 x) t) (* 1/2 x))
1.0ms
x
@inf
((/ (- (+ x y) z) (* t 2)) (/ (* 1/2 x) t) (* 1/2 x))
1.0ms
x
@-inf
((/ (- (+ x y) z) (* t 2)) (/ (* 1/2 x) t) (* 1/2 x))
1.0ms
t
@0
((/ (- (+ x y) z) (* t 2)) (/ (* 1/2 x) t) (* 1/2 x))
1.0ms
t
@inf
((/ (- (+ x y) z) (* t 2)) (/ (* 1/2 x) t) (* 1/2 x))

simplify147.0ms (2%)

Memory
14.0MiB live, 219.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059558
1185558
2491558
31380558
44295558
08230558
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* -1/2 (/ z t))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* 1/2 (/ (- x z) t))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(* 1/2 (/ y t))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(* 1/2 (/ y t))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* 1/2 (/ (- y z) t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (/ x t))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (/ x t))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
Outputs
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ (+ x y) t))
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* -1/2 (/ z t))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* -1/2 (/ z t))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ (- x z) t))
(*.f64 (/.f64 (-.f64 x z) t) #s(literal 1/2 binary64))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ y t))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ y t))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ (- y z) t))
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))

rewrite427.0ms (5.8%)

Memory
-11.1MiB live, 223.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01323
01523
16923
253023
0810023
Stop Event
iter limit
node limit
iter limit
Counts
3 → 57
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(*.f64 #s(literal 1/2 binary64) x)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval16.0ms (0.2%)

Memory
15.2MiB live, 53.3MiB allocated
Compiler

Compiled 1 151 to 195 computations (83.1% saved)

prune13.0ms (0.2%)

Memory
-9.3MiB live, 34.1MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New1410141
Fresh000
Picked011
Done077
Total1418149
Accuracy
100.0%
Counts
149 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.0%
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
67.4%
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
71.9%
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
39.3%
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x)))
37.7%
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
39.4%
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
34.2%
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
37.7%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
Compiler

Compiled 145 to 113 computations (22.1% saved)

regimes51.0ms (0.7%)

Memory
15.3MiB live, 93.2MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x)))
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
Calls

8 calls:

8.0ms
y
8.0ms
x
8.0ms
z
6.0ms
(+.f64 x y)
5.0ms
(*.f64 t #s(literal 2 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%1(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
100.0%1(-.f64 (+.f64 x y) z)
100.0%1(+.f64 x y)
100.0%1(*.f64 t #s(literal 2 binary64))
Compiler

Compiled 24 to 42 computations (-75% saved)

regimes48.0ms (0.7%)

Memory
-3.6MiB live, 77.0MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x)))
Outputs
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
Calls

8 calls:

9.0ms
(*.f64 t #s(literal 2 binary64))
7.0ms
(+.f64 x y)
7.0ms
(-.f64 (+.f64 x y) z)
7.0ms
t
4.0ms
z
Results
AccuracySegmentsBranch
91.2%3x
93.4%2y
90.7%3z
76.6%3t
99.5%2(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
99.5%2(-.f64 (+.f64 x y) z)
99.5%2(+.f64 x y)
76.6%3(*.f64 t #s(literal 2 binary64))
Compiler

Compiled 24 to 42 computations (-75% saved)

regimes24.0ms (0.3%)

Memory
6.9MiB live, 45.0MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
Outputs
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
Calls

6 calls:

5.0ms
(-.f64 (+.f64 x y) z)
4.0ms
z
4.0ms
x
4.0ms
y
4.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
88.3%3z
77.9%3x
87.6%2y
84.7%2(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
84.0%2(-.f64 (+.f64 x y) z)
87.5%2(+.f64 x y)
Compiler

Compiled 20 to 32 computations (-60% saved)

regimes19.0ms (0.3%)

Memory
-4.3MiB live, 34.6MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
Outputs
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
Calls

5 calls:

5.0ms
y
3.0ms
(-.f64 (+.f64 x y) z)
3.0ms
z
3.0ms
(+.f64 x y)
3.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
71.9%1(-.f64 (+.f64 x y) z)
71.9%1(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
85.2%3z
78.9%3(+.f64 x y)
71.9%1y
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes8.0ms (0.1%)

Memory
-25.7MiB live, 13.0MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
Outputs
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
Calls

2 calls:

5.0ms
(+.f64 x y)
3.0ms
z
Results
AccuracySegmentsBranch
78.8%3(+.f64 x y)
61.7%4z
Compiler

Compiled 4 to 9 computations (-125% saved)

regimes3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
Outputs
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
Calls

1 calls:

2.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
78.7%3(+.f64 x y)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes3.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
Outputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
Calls

1 calls:

2.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
78.6%3(+.f64 x y)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes2.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
Outputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
Calls

1 calls:

2.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
78.5%3(+.f64 x y)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes45.0ms (0.6%)

Memory
-16.3MiB live, 43.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
Outputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
Calls

8 calls:

33.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
2.0ms
(*.f64 t #s(literal 2 binary64))
2.0ms
z
2.0ms
(-.f64 (+.f64 x y) z)
2.0ms
t
Results
AccuracySegmentsBranch
58.5%3z
54.0%2(-.f64 (+.f64 x y) z)
54.0%2(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
46.7%2y
41.9%2t
41.9%2(*.f64 t #s(literal 2 binary64))
55.7%2x
57.6%2(+.f64 x y)
Compiler

Compiled 24 to 42 computations (-75% saved)

regimes15.0ms (0.2%)

Memory
-11.4MiB live, 25.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

8 calls:

5.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
2.0ms
y
1.0ms
z
1.0ms
x
1.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
34.1%1t
34.1%1(*.f64 t #s(literal 2 binary64))
34.1%1y
34.1%1(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
34.1%1(-.f64 (+.f64 x y) z)
34.1%1x
34.1%1z
34.1%1(+.f64 x y)
Compiler

Compiled 24 to 42 computations (-75% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-6.196700104325216e-180
-1.2688231592648856e-192
Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch16.0ms (0.2%)

Memory
22.4MiB live, 22.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
7.17022799680117e-8
194240.9544557181
Samples
8.0ms160×0valid
Compiler

Compiled 172 to 216 computations (-25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (24% of total)
ival-div: 1.0ms (24% of total)
ival-add: 1.0ms (24% of total)
ival-mult: 1.0ms (24% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.5%)

Memory
0.7MiB live, 37.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
4.530346019576374e+160
5.1481123799820005e+169
18.0ms
-1.5716271461355633e+152
-3.2554052530977944e+140
Samples
19.0ms304×0valid
Compiler

Compiled 278 to 377 computations (-35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 2.0ms (26.3% of total)
ival-add: 2.0ms (26.3% of total)
ival-mult: 2.0ms (26.3% of total)
ival-sub: 1.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.17022799680117e-8
194240.9544557181
0.0ms
-8.101965976973367e-17
-2.4019785071712212e-23
Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.17022799680117e-8
194240.9544557181
0.0ms
-8.101965976973367e-17
-2.4019785071712212e-23
Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.17022799680117e-8
194240.9544557181
0.0ms
-8.101965976973367e-17
-2.4019785071712212e-23
Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.17022799680117e-8
194240.9544557181
0.0ms
-8.101965976973367e-17
-2.4019785071712212e-23
Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-8.101965976973367e-17
-2.4019785071712212e-23
Compiler

Compiled 12 to 16 computations (-33.3% saved)

simplify34.0ms (0.5%)

Memory
-3.8MiB live, 33.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065401
177401
284401
386401
487401
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -2919961995278205/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))))
(if (<=.f64 y #s(literal 5584463537939415/9007199254740992 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))))
(if (<=.f64 z #s(literal -240000000000000019562252236680339583670148823394302242175816974159939858942482840489469169799988105790915063112819518345146473967791478722495774720 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (if (<=.f64 z #s(literal 61999999999999996346488164783440145728354782591978658661205250717764676905692675570580832096235669465663389332620927360426240271592360124125975818557946446479360 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))))
(if (<=.f64 (+.f64 x y) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 x y) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))))
(if (<=.f64 (+.f64 x y) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 x y) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 y x) z) (*.f64 #s(literal 2 binary64) t))
(if (<=.f64 (+.f64 x y) #s(literal -2919961995278205/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 y x) #s(literal -2919961995278205/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 #s(literal 2 binary64) t)) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 #s(literal 2 binary64) t)))
(if (<=.f64 y #s(literal 5584463537939415/9007199254740992 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))))
(if (<=.f64 y #s(literal 5584463537939415/9007199254740992 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 #s(literal 2 binary64) t)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 #s(literal 2 binary64) t)))
(if (<=.f64 z #s(literal -240000000000000019562252236680339583670148823394302242175816974159939858942482840489469169799988105790915063112819518345146473967791478722495774720 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (if (<=.f64 z #s(literal 61999999999999996346488164783440145728354782591978658661205250717764676905692675570580832096235669465663389332620927360426240271592360124125975818557946446479360 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))))
(if (<=.f64 z #s(literal -240000000000000019562252236680339583670148823394302242175816974159939858942482840489469169799988105790915063112819518345146473967791478722495774720 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (if (<=.f64 z #s(literal 61999999999999996346488164783440145728354782591978658661205250717764676905692675570580832096235669465663389332620927360426240271592360124125975818557946446479360 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 #s(literal 2 binary64) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))))
(if (<=.f64 (+.f64 x y) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 x y) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))))
(if (<=.f64 (+.f64 y x) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 y x) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t))))
(if (<=.f64 (+.f64 x y) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 x y) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 y x) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 y x) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 y x) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 y x) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 y x) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 y x) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)))
(if (<=.f64 (+.f64 y x) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))

soundness740.0ms (10.1%)

Memory
11.5MiB live, 440.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027120
039120
1166120
21088120
08532120
030124
041124
1170124
21044124
08469124
0103650
1314650
2876650
32929650
47535650
08737650
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 380 to 268 computations (29.5% saved)

preprocess94.0ms (1.3%)

Memory
-12.9MiB live, 177.8MiB allocated
Remove

(sort x y)

(negabs t)

Compiler

Compiled 536 to 210 computations (60.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...