Numeric.AD.Rank1.Halley:findZero from ad-4.2.4

Time bar (total: 7.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze181.0ms (2.3%)

Memory
-12.1MiB live, 261.9MiB 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
25%25%74.9%0.2%0%0%0%5
25%25%74.9%0.2%0%0%0%6
31.3%31.2%68.6%0.2%0%0%0%7
40.6%40.5%59.3%0.2%0%0%0%8
50%49.9%49.9%0.2%0%0%0%9
50%49.9%49.9%0.2%0%0%0%10
54.7%54.6%45.2%0.2%0%0%0%11
62.5%62.4%37.4%0.2%0%0%0%12
Compiler

Compiled 19 to 15 computations (21.1% saved)

sample1.3s (17.1%)

Memory
42.8MiB live, 1 312.3MiB allocated
Samples
820.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 524.0ms
ival-mult: 359.0ms (68.5% of total)
ival-sub: 102.0ms (19.5% of total)
ival-div: 49.0ms (9.4% of total)
ival-true: 5.0ms (1% of total)
exact: 5.0ms (1% of total)
ival-assert: 4.0ms (0.8% of total)
Bogosity

explain706.0ms (9.1%)

Memory
-16.3MiB live, 339.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
971(-6.450375605528745e+172 6.051565172957051e-74 3.8048032148235014e+249 3.057844972833026e+48)4(-8.390798654809409e-249 -5.8287197189951546e-61 3.1235553619691386e-261 -3.061990139959057e-252)(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
50-0-(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
00-0-(*.f64 y t)
00-0-(*.f64 (*.f64 y #s(literal 2 binary64)) z)
00-0-t
00-0-(*.f64 (*.f64 z #s(literal 2 binary64)) z)
00-0-z
00-0-(*.f64 y #s(literal 2 binary64))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))o/o130
(*.f64 (*.f64 y #s(literal 2 binary64)) z)overflow34
(*.f64 y t)overflow32
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))overflow101
(*.f64 (*.f64 z #s(literal 2 binary64)) z)overflow78
/.f64(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))n/o90
(*.f64 y t)overflow32
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))overflow101
(*.f64 (*.f64 z #s(literal 2 binary64)) z)overflow78
/.f64(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))o/n70
(*.f64 (*.f64 y #s(literal 2 binary64)) z)overflow34
-.f64(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))nan-rescue50
(*.f64 (*.f64 z #s(literal 2 binary64)) z)overflow78
(*.f64 y t)overflow32
/.f64(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))u/n20
(*.f64 (*.f64 y #s(literal 2 binary64)) z)underflow25
/.f64(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))u/u20
(*.f64 (*.f64 y #s(literal 2 binary64)) z)underflow25
(*.f64 y t)underflow27
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))underflow7
(*.f64 (*.f64 z #s(literal 2 binary64)) z)underflow63
/.f64(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))n/u10
(*.f64 y t)underflow27
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))underflow7
(*.f64 (*.f64 z #s(literal 2 binary64)) z)underflow63
Confusion
Predicted +Predicted -
+3419
-1202
Precision
0.9714285714285714
Recall
0.6415094339622641
Confusion?
Predicted +Predicted MaybePredicted -
+34019
-10202
Precision?
0.9714285714285714
Recall?
0.6415094339622641
Freqs
test
numberfreq
0221
131
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
211.0ms512×0valid
Compiler

Compiled 151 to 43 computations (71.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 15.0ms (59.8% of total)
ival-sub: 6.0ms (23.9% of total)
ival-div: 3.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess199.0ms (2.6%)

Memory
-8.2MiB live, 113.9MiB allocated
Algorithm
egg-herbie
Rules
1 028×times-frac
1 016×lower-fma.f64
1 016×lower-fma.f32
908×div-sub
838×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070250
1218244
2601238
31943238
44398238
56221238
67521238
77782238
87835238
97870238
01317
02117
13817
28017
319517
439117
568717
6154017
7228617
8246117
9251517
10253817
11254017
12254917
13256117
14258017
15258017
0258015
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
Outputs
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
(fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #s(literal 2 binary64) x)
Compiler

Compiled 17 to 13 computations (23.5% saved)

eval0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.0%
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify77.0ms (1%)

Memory
21.7MiB live, 59.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 2 binary64)) z)
cost-diff128
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
cost-diff128
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
Rules
1 028×times-frac
1 016×lower-fma.f64
1 016×lower-fma.f32
792×lower-*.f32
782×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01365
02165
13865
28065
319565
439165
568765
6154065
7228665
8246165
9251565
10253865
11254065
12254965
13256165
14258065
15258065
0258062
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
x
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
(*.f64 (*.f64 y #s(literal 2 binary64)) z)
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
z
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
(*.f64 (*.f64 z #s(literal 2 binary64)) z)
(*.f64 z #s(literal 2 binary64))
(*.f64 y t)
t
Outputs
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
(fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #s(literal 2 binary64) x)
x
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
(*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (*.f64 #s(literal -2 binary64) z))
(*.f64 (*.f64 y #s(literal 2 binary64)) z)
(*.f64 z (*.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 2 binary64)
z
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
(fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))
(*.f64 (*.f64 z #s(literal 2 binary64)) z)
(*.f64 z #s(literal 2 binary64))
(*.f64 y t)
(*.f64 t y)
t

localize47.0ms (0.6%)

Memory
-1.5MiB live, 44.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y #s(literal 2 binary64))
accuracy0.00390625
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
accuracy1.1015583716604118
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
accuracy22.582728930766866
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
Samples
39.0ms256×0valid
Compiler

Compiled 67 to 15 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (61.3% of total)
ival-sub: 2.0ms (17.5% of total)
ival-div: 1.0ms (8.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory
-26.2MiB live, 47.2MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) z) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())
Outputs
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor 0 t) (#s(alt (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf t) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 (/ z t))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ z t)) (taylor inf t) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) (taylor inf t) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
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#s(alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
5.0ms
t
@inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)))
2.0ms
y
@0
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)))
2.0ms
y
@inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)))
2.0ms
z
@0
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)))
2.0ms
z
@inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)))

simplify221.0ms (2.9%)

Memory
13.1MiB live, 281.2MiB allocated
Algorithm
egg-herbie
Rules
10 952×lower-fma.f64
10 952×lower-fma.f32
5 728×lower-*.f64
5 728×lower-*.f32
3 132×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03472160
110302124
231472097
086451977
Stop Event
iter limit
node limit
Counts
156 → 148
Calls
Call 1
Inputs
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(* 2 (pow z 2))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(* -2 (/ z t))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
(* -1 (* t y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(* -2 (/ z t))
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t))
(* -1 (* t y))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(* -2 (/ z t))
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* -1 (* t y))
(- (* 2 (pow z 2)) (* t y))
(- (* 2 (pow z 2)) (* t y))
(- (* 2 (pow z 2)) (* t y))
x
(+ x (* -1 (/ y z)))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
(/ y z)
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z)
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(/ y z)
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(/ y z)
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z)))
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z)))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 (pow z 2))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -1 (* t y))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y)))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -1 (* t y))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
Outputs
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(*.f64 (fma.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64)) y (/.f64 #s(literal 1 binary64) z)) y)
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))) t (/.f64 y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 t (pow.f64 z #s(literal 7 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 z #s(literal 5 binary64))))) t (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (pow.f64 z #s(literal 3 binary64))))) t (/.f64 y z))
(* 2 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 2 binary64))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))
x
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t))
(* -2 (/ z t))
(*.f64 #s(literal -2 binary64) (/.f64 z t))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 (*.f64 t t) y) y)) (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
(/.f64 (fma.f64 (/.f64 #s(literal -16 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 (*.f64 t t) y) y)) (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)))) t)
(* -1 (* t y))
(*.f64 (neg.f64 t) y)
(* t (- (* 2 (/ (pow z 2) t)) y))
(*.f64 (-.f64 (*.f64 (*.f64 z (/.f64 z t)) #s(literal 2 binary64)) y) t)
(* t (- (* 2 (/ (pow z 2) t)) y))
(*.f64 (-.f64 (*.f64 (*.f64 z (/.f64 z t)) #s(literal 2 binary64)) y) t)
(* t (- (* 2 (/ (pow z 2) t)) y))
(*.f64 (-.f64 (*.f64 (*.f64 z (/.f64 z t)) #s(literal 2 binary64)) y) t)
x
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(* 2 (* y z))
(*.f64 (*.f64 z y) #s(literal 2 binary64))
(* 2 (* y z))
(*.f64 (*.f64 z y) #s(literal 2 binary64))
(* 2 (* y z))
(*.f64 (*.f64 z y) #s(literal 2 binary64))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* t y))
(*.f64 (neg.f64 t) y)
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64) t) (neg.f64 y))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64) t) (neg.f64 y))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64) t) (neg.f64 y))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) x)
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)

rewrite267.0ms (3.5%)

Memory
1.1MiB live, 327.1MiB allocated
Rules
8 416×lower-fma.f64
8 416×lower-fma.f32
6 098×lower-*.f32
6 088×lower-*.f64
3 214×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01349
02149
17149
254149
3746549
0883146
Stop Event
iter limit
node limit
iter limit
Counts
5 → 400
Calls
Call 1
Inputs
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
(*.f64 (*.f64 y #s(literal 2 binary64)) z)
(*.f64 y #s(literal 2 binary64))
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
Outputs
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 z) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) x) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (*.f64 #s(literal -2 binary64) (*.f64 z y))) #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (*.f64 #s(literal -2 binary64) (*.f64 z y))) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z)) (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64)))) (fma.f64 (*.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x))
(*.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (*.f64 #s(literal -2 binary64) (*.f64 z y))) #s(literal -3 binary64))))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (*.f64 #s(literal -2 binary64) (*.f64 z y))) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (*.f64 x x)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (/.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x)))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (pow.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) #s(literal -1 binary64))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (*.f64 x x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (pow.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (*.f64 #s(literal -2 binary64) (*.f64 z y))) #s(literal -3 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 z) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (*.f64 #s(literal -2 binary64) y))) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x))
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(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 t) y) (-.f64 (*.f64 (neg.f64 t) y) (*.f64 (*.f64 z #s(literal 2 binary64)) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) #s(literal -1 binary64))
(/.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) #s(literal 1 binary64))
(neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)) (-.f64 (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)) (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)))))
(fma.f64 (*.f64 t #s(literal -1 binary64)) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 z (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)))))
(fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)))))
(fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)))))
(fma.f64 (*.f64 z z) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 z z)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y))
(fma.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3/2 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))))
(fma.f64 (*.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))))
(fma.f64 #s(literal -1 binary64) (*.f64 t y) (*.f64 (*.f64 z #s(literal 2 binary64)) z))
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z #s(literal 2 binary64)) z))
(fma.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))))
(fma.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)))))
(fma.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))))
(fma.f64 (*.f64 t y) #s(literal -1 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) z))
(fma.f64 t (neg.f64 y) (*.f64 (*.f64 z #s(literal 2 binary64)) z))
(fma.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))))
(fma.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (/.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)))))
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)))))
(fma.f64 (*.f64 z #s(literal 2 binary64)) z (*.f64 (neg.f64 t) y))
(fma.f64 z (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (*.f64 (neg.f64 t) y))
(fma.f64 #s(literal 2 binary64) (*.f64 z z) (*.f64 (neg.f64 t) y))
(fma.f64 y (neg.f64 t) (*.f64 (*.f64 z #s(literal 2 binary64)) z))
(-.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 t y))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 t y) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)))
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 t y))
(+.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 z z))) (*.f64 (neg.f64 t) y))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))))
(+.f64 (*.f64 (neg.f64 t) y) (*.f64 (*.f64 z #s(literal 2 binary64)) z))
(+.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 (neg.f64 t) y))

eval80.0ms (1%)

Memory
4.3MiB live, 155.8MiB allocated
Compiler

Compiled 18 772 to 1 564 computations (91.7% saved)

prune89.0ms (1.2%)

Memory
11.2MiB live, 167.3MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5435548
Fresh000
Picked101
Done000
Total5445549
Accuracy
100.0%
Counts
549 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.6%
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
60.2%
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
57.2%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x))
60.2%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
17.9%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
Compiler

Compiled 104 to 102 computations (1.9% saved)

simplify189.0ms (2.5%)

Memory
16.7MiB live, 164.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z))
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x))
cost-diff5760
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)
cost-diff0
(/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
cost-diff0
(/.f64 z t)
cost-diff0
(*.f64 #s(literal -2 binary64) (/.f64 z t))
cost-diff0
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))
cost-diff0
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
cost-diff0
(/.f64 #s(literal 2 binary64) t)
cost-diff0
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
cost-diff0
(/.f64 y z)
cost-diff0
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
cost-diff0
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
Rules
8 190×lower-fma.f32
8 182×lower-fma.f64
3 254×lower-*.f32
3 242×lower-*.f64
1 834×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041298
064298
1114298
2209298
3483295
41028295
51907291
64715291
76126291
08072288
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
(/.f64 y z)
y
z
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(/.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
t
z
x
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))
(*.f64 #s(literal -2 binary64) (/.f64 z t))
#s(literal -2 binary64)
(/.f64 z t)
z
t
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))
z
(fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))
(*.f64 #s(literal -2 binary64) z)
#s(literal -2 binary64)
(*.f64 t y)
t
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(/.f64 t (pow.f64 z #s(literal 3 binary64)))
t
(pow.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
x
Outputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
(/.f64 y z)
y
z
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(/.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
t
z
x
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64))))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 z t))
(*.f64 (/.f64 z t) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 z t)
z
t
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))
(/.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))
z
(fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))
(*.f64 #s(literal -2 binary64) z)
#s(literal -2 binary64)
(*.f64 t y)
t
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) z) z) (*.f64 t y) #s(literal -1 binary64)) (/.f64 y z) x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) z) z) (*.f64 t y) #s(literal -1 binary64)) (/.f64 y z) x)
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 t y) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(/.f64 t (pow.f64 z #s(literal 3 binary64)))
t
(pow.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
x

localize119.0ms (1.5%)

Memory
-24.0MiB live, 186.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy2.3895086100168847
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z))
accuracy2.411882981146057
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)
accuracy6.293944321978271
(/.f64 t (pow.f64 z #s(literal 3 binary64)))
accuracy25.235276818208302
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x))
accuracy0.7499917428166807
(fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))
accuracy4.6407874541930045
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))
accuracy20.98442864861276
(/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))
accuracy47.37486165986559
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
accuracy0
(/.f64 z t)
accuracy0
(*.f64 #s(literal -2 binary64) (/.f64 z t))
accuracy0.00390625
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
accuracy33.97319701575951
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))
accuracy0
(/.f64 #s(literal 2 binary64) t)
accuracy0.10546875
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
accuracy25.45347233382289
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
accuracy0
(/.f64 y z)
accuracy0.00390625
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
accuracy28.543168378004676
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
Samples
91.0ms256×0valid
Compiler

Compiled 249 to 40 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 32.0ms (58.2% of total)
ival-div: 11.0ms (20% of total)
ival-add: 4.0ms (7.3% of total)
ival-pow: 4.0ms (7.3% of total)
ival-sub: 2.0ms (3.6% of total)
exact: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series77.0ms (1%)

Memory
32.0MiB live, 111.2MiB allocated
Counts
20 → 672
Calls
Call 1
Inputs
#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -2 binary64) (/.f64 z t)) (patch (*.f64 #s(literal -2 binary64) (/.f64 z t)) #<representation binary64>) () ())
#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) (patch (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (patch (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)) (patch (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)) #<representation binary64>) () ())
#s(alt (/.f64 t (pow.f64 z #s(literal 3 binary64))) (patch (/.f64 t (pow.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 t) (#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ z t)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (/ 2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
15.0ms
z
@-inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (* -1/2 y) (+ (* (* -2 z) z) (* t y)) (/ t (pow z 3)))
6.0ms
t
@inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (* -1/2 y) (+ (* (* -2 z) z) (* t y)) (/ t (pow z 3)))
3.0ms
t
@0
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (* -1/2 y) (+ (* (* -2 z) z) (* t y)) (/ t (pow z 3)))
3.0ms
z
@inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (* -1/2 y) (+ (* (* -2 z) z) (* t y)) (/ t (pow z 3)))
3.0ms
t
@-inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (* -1/2 y) (+ (* (* -2 z) z) (* t y)) (/ t (pow z 3)))

simplify267.0ms (3.5%)

Memory
5.3MiB live, 267.1MiB allocated
Algorithm
egg-herbie
Rules
9 032×lower-fma.f64
9 032×lower-fma.f32
5 420×lower-*.f64
5 420×lower-*.f32
3 554×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06849776
121169633
265969583
082509005
Stop Event
iter limit
node limit
Counts
672 → 622
Calls
Call 1
Inputs
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* 2 (/ z t))
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
(/ -1/2 z)
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z)))
(- (* t (- (* -1/8 (/ (* t (pow y 2)) (pow z 5))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(- (* t (- (* t (- (* -1/16 (/ (* t (pow y 3)) (pow z 7))) (* 1/8 (/ (pow y 2) (pow z 5))))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ -1 z)
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(/ t (pow z 3))
(/ t (pow z 3))
(/ t (pow z 3))
(/ t (pow z 3))
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(* -2 (/ z t))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
x
(+ x (* 2 (/ z t)))
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x
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Outputs
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)
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(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (/.f64 y x) #s(literal 1 binary64)) x)
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (/.f64 y x) #s(literal 1 binary64)) x)
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x)
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
x
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (/.f64 y x))))
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (/.f64 y x))))
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (/.f64 y x))))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))

rewrite251.0ms (3.3%)

Memory
-10.3MiB live, 281.6MiB allocated
Rules
5 218×lower-/.f32
5 206×lower-/.f64
4 832×lower-*.f32
4 820×lower-*.f64
3 576×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041263
064263
1256263
21835263
08588260
Stop Event
iter limit
node limit
iter limit
Counts
20 → 550
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
(/.f64 y z)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(/.f64 #s(literal 2 binary64) t)
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))
(*.f64 #s(literal -2 binary64) (/.f64 z t))
(/.f64 z t)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))
(*.f64 #s(literal 2 binary64) y)
(/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1/2 binary64) y)
(fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))
(/.f64 t (pow.f64 z #s(literal 3 binary64)))
Outputs
(*.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x)) (*.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (neg.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)) (*.f64 x (neg.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64))) (-.f64 x (neg.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64))) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)) (*.f64 x (neg.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64))))))
(fma.f64 #s(literal -1 binary64) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))) (/.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 x (neg.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x)) (/.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x))) (/.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
(+.f64 (neg.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) x)
(+.f64 x (neg.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (*.f64 y #s(literal 1 binary64)) z)
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(*.f64 (/.f64 t (pow.f64 z #s(literal 3/2 binary64))) (pow.f64 z #s(literal -3/2 binary64)))
(*.f64 (/.f64 t (*.f64 z z)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -3 binary64)) t)
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 z z) t) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 t (*.f64 z z)))
(*.f64 (/.f64 t z) (/.f64 (pow.f64 z #s(literal -1 binary64)) z))
(*.f64 (/.f64 t z) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 t z))
(*.f64 #s(literal 1 binary64) (/.f64 t (pow.f64 z #s(literal 3 binary64))))
(*.f64 (neg.f64 t) (pow.f64 (neg.f64 z) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 t (neg.f64 (*.f64 z z))))
(*.f64 t (pow.f64 z #s(literal -3 binary64)))
(pow.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))
(/.f64 (neg.f64 (/.f64 t (pow.f64 z #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 z #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (/.f64 t (*.f64 z z))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (neg.f64 t))) (neg.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)))))
(/.f64 (*.f64 t #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))
(/.f64 (/.f64 t (pow.f64 z #s(literal 3/2 binary64))) (pow.f64 z #s(literal 3/2 binary64)))
(/.f64 (/.f64 t (*.f64 z z)) z)
(/.f64 (neg.f64 (/.f64 t z)) (neg.f64 (*.f64 z z)))
(/.f64 (neg.f64 (neg.f64 t)) (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
(/.f64 (/.f64 t z) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) t))
(/.f64 (neg.f64 t) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t)))
(/.f64 t (pow.f64 z #s(literal 3 binary64)))
(neg.f64 (/.f64 (neg.f64 t) (pow.f64 z #s(literal 3 binary64))))
(neg.f64 (/.f64 t (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (/.f64 t (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t)) #s(literal -1 binary64)))

eval162.0ms (2.1%)

Memory
4.4MiB live, 387.7MiB allocated
Compiler

Compiled 24 500 to 3 025 computations (87.7% saved)

prune173.0ms (2.2%)

Memory
15.3MiB live, 265.4MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1 16751 172
Fresh000
Picked325
Done000
Total1 17071 177
Accuracy
100.0%
Counts
1 177 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.6%
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
60.2%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
59.7%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x))
66.6%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x))
17.9%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
13.2%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
15.7%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
Compiler

Compiled 113 to 118 computations (-4.4% saved)

simplify213.0ms (2.8%)

Memory
-25.8MiB live, 167.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z)))
cost-diff0
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x)
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x))
cost-diff128
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))
cost-diff0
(/.f64 z t)
cost-diff0
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
cost-diff0
(/.f64 z t)
cost-diff0
(*.f64 (/.f64 z t) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 (neg.f64 y) z)
cost-diff0
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
cost-diff0
(/.f64 #s(literal -1 binary64) z)
cost-diff0
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z))
cost-diff0
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x))
Rules
21 172×lower-fma.f32
21 164×lower-fma.f64
2 950×lower-*.f32
2 946×lower-*.f64
1 748×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058387
075385
1139385
2249385
3501385
4899385
51776385
64510385
75591385
86469385
96985385
107052385
117079385
08237363
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x))
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
y
x
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/.f64 z t)
z
t
#s(literal 2 binary64)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
(/.f64 z t)
z
t
#s(literal 2 binary64)
x
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x))
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x)
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) t)
#s(literal 1/2 binary64)
t
(/.f64 (/.f64 y z) z)
(/.f64 y z)
y
z
#s(literal 1 binary64)
(neg.f64 z)
x
Outputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x))
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
y
x
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/.f64 z t)
z
t
#s(literal 2 binary64)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
(/.f64 z t)
z
t
#s(literal 2 binary64)
x
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)) y x))
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x)
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)) y x)
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z)))
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 y z) z) (*.f64 #s(literal 1/2 binary64) t) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) t)
#s(literal 1/2 binary64)
t
(/.f64 (/.f64 y z) z)
(/.f64 y z)
y
z
#s(literal 1 binary64)
(neg.f64 z)
x

localize251.0ms (3.2%)

Memory
35.8MiB live, 193.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.140625
(/.f64 (/.f64 y z) z)
accuracy2.411882981146057
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x)
accuracy3.8026242000332156
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64))
accuracy25.235276818208302
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x))
accuracy0
(/.f64 z t)
accuracy0.00390625
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
accuracy25.45347233382289
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
accuracy0
(/.f64 z t)
accuracy0
(*.f64 (/.f64 z t) #s(literal 2 binary64))
accuracy25.45347233382289
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
accuracy30.7163256829009
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
accuracy0
(/.f64 (neg.f64 y) z)
accuracy0
(neg.f64 y)
accuracy28.543168378004676
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))
accuracy47.37486165986559
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
accuracy0
(/.f64 #s(literal -1 binary64) z)
accuracy2.411882981146057
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)
accuracy25.235276818208302
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x))
accuracy28.2924624041568
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z))
Samples
107.0ms256×0valid
Compiler

Compiled 253 to 51 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-sub: 31.0ms (35.3% of total)
ival-mult: 27.0ms (30.8% of total)
ival-div: 16.0ms (18.2% of total)
ival-add: 7.0ms (8% of total)
ival-pow: 4.0ms (4.6% of total)
ival-neg: 2.0ms (2.3% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series94.0ms (1.2%)

Memory
-14.7MiB live, 103.2MiB allocated
Counts
20 → 708
Calls
Call 1
Inputs
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x) (patch (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) (patch #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())
#s(alt #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) (patch #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) (patch #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 z t) #s(literal 2 binary64)) (patch (*.f64 (/.f64 z t) #s(literal 2 binary64)) #<representation binary64>) () ())
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Outputs
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Calls

12 calls:

TimeVariablePointExpression
35.0ms
t
@0
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (/ (/ y z) z))
3.0ms
y
@-inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (/ (/ y z) z))
3.0ms
y
@inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (/ (/ y z) z))
3.0ms
z
@0
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (/ (/ y z) z))
3.0ms
z
@inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (/ (/ y z) z))

simplify227.0ms (2.9%)

Memory
11.6MiB live, 256.9MiB allocated
Algorithm
egg-herbie
Rules
13 086×lower-fma.f64
13 086×lower-fma.f32
4 926×lower-*.f64
4 926×lower-*.f32
2 832×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04289087
112558964
237998802
081658227
Stop Event
iter limit
node limit
Counts
708 → 648
Calls
Call 1
Inputs
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(/ (+ (* 2 z) (* t x)) t)
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(/ (+ (* 2 z) (* t x)) t)
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(/ -1 z)
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
1
(+ 1 (* 1/2 (/ (* t y) (pow z 2))))
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(+ 1 (* 1/2 (/ (* t y) (pow z 2))))
x
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x
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x
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x
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x
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x
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x
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x
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(/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z)
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(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1)))
Outputs
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y x)
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y x)
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y x)
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y x)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y x)
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 (neg.f64 y) z))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 (neg.f64 y) z))
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y x)
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/ (+ (* 2 z) (* t x)) t)
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 t x)) t)
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y x)
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/ (+ (* 2 z) (* t x)) t)
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 t x)) t)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y x)
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y x)
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y x)
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y x)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (* t y) (pow z 2))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) t) z) (/.f64 y z) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (* t y) (pow z 2))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) t) z) (/.f64 y z) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (* t y) (pow z 2))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) t) z) (/.f64 y z) #s(literal 1 binary64))
x
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t)) t) x)
(* -1/2 (/ (* t (pow y 2)) (pow z 3)))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))))
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t))))
(*.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (-.f64 x (/.f64 y z)) t)) t)
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t))))
(*.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (-.f64 x (/.f64 y z)) t)) t)
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t))))
(*.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (-.f64 x (/.f64 y z)) t)) t)
(* -1/2 (/ (* t y) (pow z 3)))
(*.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y)
(* t (- (* -1/2 (/ y (pow z 3))) (/ 1 (* t z))))
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)
(* t (- (* -1/2 (/ y (pow z 3))) (/ 1 (* t z))))
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)
(* t (- (* -1/2 (/ y (pow z 3))) (/ 1 (* t z))))
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)
x
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t)) t) x)
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal 2 binary64) z)) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t)
(/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t)) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 3))))))) t)
(/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t))) t)
x
(+ x (* 2 (/ z t)))
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(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
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x
(+ x (* 2 (/ z t)))
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(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
x
(+ x (* 2 (/ z t)))
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(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) x)
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) x)
x
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) (/.f64 y x) #s(literal 1 binary64)) x)

rewrite183.0ms (2.4%)

Memory
27.6MiB live, 275.7MiB allocated
Rules
5 306×lower-*.f32
5 302×lower-*.f64
5 182×lower-/.f32
5 170×lower-/.f64
3 804×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058357
075355
1310355
22161355
08943342
Stop Event
iter limit
node limit
iter limit
Counts
20 → 370
Calls
Call 1
Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x))
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal -1 binary64) z)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
(neg.f64 y)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/.f64 z t)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x))
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x)
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64))
(/.f64 (/.f64 y z) z)
Outputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x))) (*.f64 (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x)) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) (*.f64 y x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)
(fma.f64 y #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x))))
(+.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) x)
(+.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y))
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (neg.f64 z) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 z))
(/.f64 #s(literal -1 binary64) z)
(neg.f64 (pow.f64 z #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal -1 binary64)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 y (/.f64 #s(literal -1 binary64) z))
(pow.f64 (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 y #s(literal -1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (/.f64 y #s(literal 1 binary64)))) (*.f64 z z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (*.f64 y #s(literal 1 binary64)))) (*.f64 z z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) #s(literal 1 binary64))) (*.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 (/.f64 z y) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z y)) (*.f64 z #s(literal 1 binary64))) (*.f64 (/.f64 z y) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 z (neg.f64 y))) (*.f64 z (neg.f64 z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (neg.f64 z)) (*.f64 z (/.f64 (neg.f64 z) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z y)) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1 binary64))) z)
(/.f64 (/.f64 y #s(literal -1 binary64)) z)
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) z)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (neg.f64 z) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 y) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 z) y)))
(/.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 y (neg.f64 z))
(neg.f64 (/.f64 y z))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 y z))
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(*.f64 (/.f64 y z) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 y z) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) z))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 y) z) z))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(pow.f64 (/.f64 (*.f64 (/.f64 z y) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 z y) z) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 z z)))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 z) z)))
(/.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) z)
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z z))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 z y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 z y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z y) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) z))
(/.f64 (/.f64 y z) z)
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 z))
(/.f64 (neg.f64 y) (neg.f64 (*.f64 z z)))
(/.f64 (neg.f64 y) (*.f64 (neg.f64 z) z))
(/.f64 (neg.f64 y) (*.f64 z (neg.f64 z)))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 z y) z) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z y) z)))
(/.f64 y (neg.f64 (neg.f64 (*.f64 z z))))
(/.f64 y (neg.f64 (*.f64 (neg.f64 z) z)))
(/.f64 y (neg.f64 (*.f64 z (neg.f64 z))))
(/.f64 y (*.f64 z z))
(neg.f64 (/.f64 (/.f64 (neg.f64 y) z) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z z))) (/.f64 y (neg.f64 (*.f64 z z))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (neg.f64 z) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 z))) (/.f64 y (*.f64 z (neg.f64 z))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 y) (*.f64 z z)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) (neg.f64 z)) (/.f64 (/.f64 (neg.f64 y) z) z))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) z) (/.f64 (/.f64 (neg.f64 y) z) z))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (/.f64 (neg.f64 y) z) z))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) z)) #s(literal -1 binary64)))

eval167.0ms (2.2%)

Memory
-24.9MiB live, 378.9MiB allocated
Compiler

Compiled 19 004 to 2 175 computations (88.6% saved)

prune83.0ms (1.1%)

Memory
11.4MiB live, 204.8MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New1 06521 067
Fresh000
Picked145
Done022
Total1 06681 074
Accuracy
100.0%
Counts
1 074 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.6%
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
60.2%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
66.6%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x))
17.9%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
13.2%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
13.1%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
15.6%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)))
15.7%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
Compiler

Compiled 72 to 77 computations (-6.9% saved)

simplify136.0ms (1.8%)

Memory
9.2MiB live, 130.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 2 binary64) t)
cost-diff0
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
cost-diff0
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
cost-diff0
(*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)))
cost-diff0
(/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)
cost-diff0
#s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)))
Rules
5 852×lower-fma.f32
5 850×lower-fma.f64
3 164×lower-*.f32
3 158×lower-*.f64
1 804×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039193
048193
197193
2204193
3522191
41145191
52311191
64929191
76552191
08165183
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)))
#s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))
(/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)
(*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)))
y
(fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64))
(/.f64 (/.f64 y z) z)
(/.f64 y z)
z
#s(literal -1/2 binary64)
t
#s(literal -1 binary64)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
(/.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
t
z
Outputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y)))
#s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))
#s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y))
(/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y)
(*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y)
y
(fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64))
(/.f64 (/.f64 y z) z)
(/.f64 y z)
z
#s(literal -1/2 binary64)
t
#s(literal -1 binary64)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
(/.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
t
z

localize257.0ms (3.3%)

Memory
-36.2MiB live, 114.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 2 binary64) t)
accuracy0.23046875
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
accuracy25.45347233382289
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
accuracy30.7163256829009
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))
accuracy1.6910520669407765
(*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)))
accuracy3.8026242000332156
(fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))
accuracy25.235276818208302
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)))
accuracy28.907902367914218
#s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))
Samples
140.0ms256×0valid
Compiler

Compiled 130 to 36 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-mult: 97.0ms (81.8% of total)
ival-div: 11.0ms (9.3% of total)
ival-add: 4.0ms (3.4% of total)
ival-pow: 4.0ms (3.4% of total)
ival-sub: 2.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series102.0ms (1.3%)

Memory
6.4MiB live, 44.6MiB allocated
Counts
9 → 324
Calls
Call 1
Inputs
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)) (patch #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z) (patch (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z) #<representation binary64>) () ())
#s(alt (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) (patch (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 2 binary64) t) z) (patch (*.f64 (/.f64 #s(literal 2 binary64) t) z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) #<representation binary64>) () ())) ())
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Calls

12 calls:

TimeVariablePointExpression
72.0ms
x
@0
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/ (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) z) (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (+ (* (* (/ (/ y z) z) -1/2) t) -1))
2.0ms
t
@0
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/ (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) z) (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (+ (* (* (/ (/ y z) z) -1/2) t) -1))
2.0ms
t
@-inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/ (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) z) (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (+ (* (* (/ (/ y z) z) -1/2) t) -1))
2.0ms
t
@inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/ (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) z) (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (+ (* (* (/ (/ y z) z) -1/2) t) -1))
2.0ms
y
@-inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/ (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) z) (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (+ (* (* (/ (/ y z) z) -1/2) t) -1))

simplify156.0ms (2%)

Memory
10.7MiB live, 241.4MiB allocated
Algorithm
egg-herbie
Rules
11 526×lower-fma.f64
11 526×lower-fma.f32
5 634×lower-*.f64
5 634×lower-*.f32
4 032×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03094169
19214078
228034022
083423772
Stop Event
iter limit
node limit
Counts
324 → 298
Calls
Call 1
Inputs
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(* -1 y)
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* 2 (/ z t))
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
-1
(- (* -1/2 (/ (* t y) (pow z 2))) 1)
(- (* -1/2 (/ (* t y) (pow z 2))) 1)
(- (* -1/2 (/ (* t y) (pow z 2))) 1)
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(* -1/2 (/ (* t (pow y 2)) (pow z 3)))
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t))))
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t))))
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t))))
(* -1/2 (/ (* t (pow y 2)) (pow z 3)))
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3)))))
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3)))))
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3)))))
(* -1/2 (/ (* t (pow y 2)) (pow z 2)))
(* t (+ (* -1 (/ y t)) (* -1/2 (/ (pow y 2) (pow z 2)))))
(* t (+ (* -1 (/ y t)) (* -1/2 (/ (pow y 2) (pow z 2)))))
(* t (+ (* -1 (/ y t)) (* -1/2 (/ (pow y 2) (pow z 2)))))
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(* -1/2 (/ (* t y) (pow z 2)))
(* t (- (* -1/2 (/ y (pow z 2))) (/ 1 t)))
(* t (- (* -1/2 (/ y (pow z 2))) (/ 1 t)))
(* t (- (* -1/2 (/ y (pow z 2))) (/ 1 t)))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(* -1/2 (/ (* t (pow y 2)) (pow z 3)))
(* -1 (* t (+ (* -1 (/ (+ x (* -1 (/ y z))) t)) (* 1/2 (/ (pow y 2) (pow z 3))))))
(* -1 (* t (+ (* -1 (/ (+ x (* -1 (/ y z))) t)) (* 1/2 (/ (pow y 2) (pow z 3))))))
(* -1 (* t (+ (* -1 (/ (+ x (* -1 (/ y z))) t)) (* 1/2 (/ (pow y 2) (pow z 3))))))
(* -1/2 (/ (* t (pow y 2)) (pow z 3)))
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (/ y (* t z)))))
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (/ y (* t z)))))
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (/ y (* t z)))))
(* -1/2 (/ (* t (pow y 2)) (pow z 2)))
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 2))) (/ y t))))
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 2))) (/ y t))))
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 2))) (/ y t))))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(* -1/2 (/ (* t y) (pow z 2)))
(* -1 (* t (+ (* 1/2 (/ y (pow z 2))) (/ 1 t))))
(* -1 (* t (+ (* 1/2 (/ y (pow z 2))) (/ 1 t))))
(* -1 (* t (+ (* 1/2 (/ y (pow z 2))) (/ 1 t))))
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(* -1/2 (/ (* t (pow y 2)) (pow z 3)))
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 3))
(/ (+ (* -1/2 (* t (pow y 2))) (* (pow z 2) (+ (* -1 y) (* x z)))) (pow z 3))
(/ (+ (* -1/2 (* t (pow y 2))) (* (pow z 2) (+ (* -1 y) (* x z)))) (pow z 3))
(* -1/2 (/ (* t (pow y 2)) (pow z 3)))
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 3))
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 3))
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 3))
(* -1/2 (/ (* t (pow y 2)) (pow z 2)))
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 2))
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 2))
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 2))
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* -1/2 (/ (* t y) (pow z 2)))
(/ (+ (* -1 (pow z 2)) (* -1/2 (* t y))) (pow z 2))
(/ (+ (* -1 (pow z 2)) (* -1/2 (* t y))) (pow z 2))
(/ (+ (* -1 (pow z 2)) (* -1/2 (* t y))) (pow z 2))
x
(+ x (* -1 (/ y z)))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
x
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(* -1 (/ y z))
(/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(* -1 y)
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))
x
(+ x (* -1 (/ y z)))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
(* 2 (/ z t))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
-1
(- (* -1/2 (/ (* t y) (pow z 2))) 1)
(- (* -1/2 (/ (* t y) (pow z 2))) 1)
(- (* -1/2 (/ (* t y) (pow z 2))) 1)
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))
(* -1 (/ y z))
(* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(* -1 y)
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(* 2 (/ z t))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
-1
(- (* -1/2 (/ (* t y) (pow z 2))) 1)
(- (* -1/2 (/ (* t y) (pow z 2))) 1)
(- (* -1/2 (/ (* t y) (pow z 2))) 1)
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(* -1 (/ y z))
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))
(* -1 y)
(* y (- (* -1/2 (/ (* t y) (pow z 2))) 1))
(* y (- (* -1/2 (/ (* t y) (pow z 2))) 1))
(* y (- (* -1/2 (/ (* t y) (pow z 2))) 1))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
-1
(- (* -1/2 (/ (* t y) (pow z 2))) 1)
(- (* -1/2 (/ (* t y) (pow z 2))) 1)
(- (* -1/2 (/ (* t y) (pow z 2))) 1)
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* -1/2 (/ (* t (pow y 2)) (pow z 3)))
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z))))
(* (pow y 2) (- (+ (* -1/2 (/ t (pow z 3))) (/ x (pow y 2))) (/ 1 (* y z))))
(* (pow y 2) (- (+ (* -1/2 (/ t (pow z 3))) (/ x (pow y 2))) (/ 1 (* y z))))
(* -1/2 (/ (* t (pow y 2)) (pow z 3)))
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z))))
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z))))
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z))))
(* -1/2 (/ (* t (pow y 2)) (pow z 2)))
(* (pow y 2) (- (* -1/2 (/ t (pow z 2))) (/ 1 y)))
(* (pow y 2) (- (* -1/2 (/ t (pow z 2))) (/ 1 y)))
(* (pow y 2) (- (* -1/2 (/ t (pow z 2))) (/ 1 y)))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* -1/2 (/ (* t y) (pow z 2)))
(* y (- (* -1/2 (/ t (pow z 2))) (/ 1 y)))
(* y (- (* -1/2 (/ t (pow z 2))) (/ 1 y)))
(* y (- (* -1/2 (/ t (pow z 2))) (/ 1 y)))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(* -1/2 (/ (* t (pow y 2)) (pow z 3)))
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (/ 1 z)) y)) (* -1/2 (/ t (pow z 3)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (/ 1 z)) y)) (* -1/2 (/ t (pow z 3)))))
(* -1/2 (/ (* t (pow y 2)) (pow z 3)))
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z))))
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z))))
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z))))
(* -1/2 (/ (* t (pow y 2)) (pow z 2)))
(* (pow y 2) (- (* -1/2 (/ t (pow z 2))) (/ 1 y)))
(* (pow y 2) (- (* -1/2 (/ t (pow z 2))) (/ 1 y)))
(* (pow y 2) (- (* -1/2 (/ t (pow z 2))) (/ 1 y)))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(* -1/2 (/ (* t y) (pow z 2)))
(* -1 (* y (+ (* 1/2 (/ t (pow z 2))) (/ 1 y))))
(* -1 (* y (+ (* 1/2 (/ t (pow z 2))) (/ 1 y))))
(* -1 (* y (+ (* 1/2 (/ t (pow z 2))) (/ 1 y))))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* 2 (/ z t))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)))
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)))
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
Outputs
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
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(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) t) #s(literal 4 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 7 binary64)) y) (/.f64 #s(literal 16 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64)))) y)) y) x))
(* -1/2 (/ (* t (pow y 2)) (pow z 3)))
(*.f64 (*.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y) y)
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z))))
(*.f64 (fma.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) z)) (*.f64 y y))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (/ 1 z)) y)) (* -1/2 (/ t (pow z 3)))))
(*.f64 (*.f64 (fma.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) z)) y)) y) y)
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (/ 1 z)) y)) (* -1/2 (/ t (pow z 3)))))
(*.f64 (*.f64 (fma.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) z)) y)) y) y)
(* -1/2 (/ (* t (pow y 2)) (pow z 3)))
(*.f64 (*.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y) y)
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z))))
(*.f64 (fma.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) z)) (*.f64 y y))
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z))))
(*.f64 (fma.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) z)) (*.f64 y y))
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z))))
(*.f64 (fma.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) z)) (*.f64 y y))
(* -1/2 (/ (* t (pow y 2)) (pow z 2)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (/.f64 t z))
(* (pow y 2) (- (* -1/2 (/ t (pow z 2))) (/ 1 y)))
(*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)
(* (pow y 2) (- (* -1/2 (/ t (pow z 2))) (/ 1 y)))
(*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)
(* (pow y 2) (- (* -1/2 (/ t (pow z 2))) (/ 1 y)))
(*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)
(- x (* -2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) t) #s(literal 4 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 7 binary64)) y) (/.f64 #s(literal 16 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64)))) y)) y) x))
(* -1/2 (/ (* t y) (pow z 2)))
(*.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64)) y)
(* -1 (* y (+ (* 1/2 (/ t (pow z 2))) (/ 1 y))))
(fma.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64)) y #s(literal -1 binary64))
(* -1 (* y (+ (* 1/2 (/ t (pow z 2))) (/ 1 y))))
(fma.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64)) y #s(literal -1 binary64))
(* -1 (* y (+ (* 1/2 (/ t (pow z 2))) (/ 1 y))))
(fma.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64)) y #s(literal -1 binary64))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) x)
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))
(*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y)
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) x)
(* 2 (/ z t))
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
x
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (/.f64 y x) #s(literal 1 binary64)) x)
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (/.f64 y x) #s(literal 1 binary64)) x)
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (/.f64 y x) #s(literal 1 binary64)) x)
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
(* x (+ 1 (* 2 (/ z (* t x)))))
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
(* x (+ 1 (* 2 (/ z (* t x)))))
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
x
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1)))
(*.f64 (fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1)))
(*.f64 (fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1)))
(*.f64 (fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (/.f64 y x) #s(literal 1 binary64)) x)
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)

rewrite189.0ms (2.5%)

Memory
-18.4MiB live, 222.5MiB allocated
Rules
4 936×lower-/.f32
4 928×lower-/.f64
4 722×lower-*.f32
4 716×lower-*.f64
3 298×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039170
048170
1215170
21668170
08083162
Stop Event
iter limit
node limit
iter limit
Counts
9 → 138
Calls
Call 1
Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)))
#s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))
(/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)
(*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
(/.f64 #s(literal 2 binary64) t)
(fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))
Outputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) z)))
#s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) z))
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y)
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) z))
(*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) (/.f64 y z))
(*.f64 y (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z))
(pow.f64 (/.f64 (/.f64 z (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 z (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) #s(literal 1 binary64))) (neg.f64 z))
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(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 y))) (/.f64 (*.f64 #s(literal -1/2 binary64) t) (neg.f64 z)) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 t y) z) #s(literal -1 binary64))
(fma.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal -1/2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 t z) (*.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 y z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal -1 binary64))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 z y)) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 y z) z) (*.f64 #s(literal -1/2 binary64) t) #s(literal -1 binary64))
(fma.f64 (/.f64 y z) (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) #s(literal -1 binary64))
(fma.f64 (/.f64 y z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) t)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 y z) z) t) #s(literal -1 binary64))
(fma.f64 t (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t))) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal 2 binary64)) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t))

eval103.0ms (1.3%)

Memory
34.2MiB live, 110.6MiB allocated
Compiler

Compiled 7 490 to 935 computations (87.5% saved)

prune114.0ms (1.5%)

Memory
-36.3MiB live, 85.7MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New4360436
Fresh000
Picked022
Done066
Total4368444
Accuracy
100.0%
Counts
444 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.6%
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
60.2%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
66.6%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x))
17.9%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
13.2%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
13.1%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
15.6%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)))
15.7%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
Compiler

Compiled 210 to 149 computations (29% saved)

regimes44.0ms (0.6%)

Memory
5.7MiB live, 43.7MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x))
Outputs
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
Calls

6 calls:

20.0ms
x
5.0ms
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
5.0ms
t
5.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
81.9%2x
82.0%2y
97.7%5z
80.0%1t
93.7%2(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
93.0%2(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
Compiler

Compiled 36 to 41 computations (-13.9% saved)

regimes11.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
Outputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
Calls

3 calls:

4.0ms
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
4.0ms
z
3.0ms
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
Results
AccuracySegmentsBranch
73.5%4(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
93.2%3z
73.0%3(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
Compiler

Compiled 33 to 29 computations (12.1% saved)

regimes3.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
Outputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
93.2%3z
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes21.0ms (0.3%)

Memory
-15.8MiB live, 26.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x))
Outputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
Calls

6 calls:

8.0ms
x
2.0ms
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
2.0ms
t
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
66.6%1(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
66.6%1(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
66.6%1t
66.6%1x
66.6%1y
66.6%1z
Compiler

Compiled 36 to 41 computations (-13.9% saved)

regimes8.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

1.0ms
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
1.0ms
t
1.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
15.7%1x
15.7%1(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
15.7%1y
15.7%1z
15.7%1t
15.7%1(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
Compiler

Compiled 36 to 41 computations (-13.9% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.232692088562492e+292
1.0967551669946763e+294
Compiler

Compiled 20 to 20 computations (0% saved)

bsearch135.0ms (1.7%)

Memory
1.9MiB live, 41.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
6.700170346667082e+34
4.7778228271758343e+52
114.0ms
-3.076753305931669e-45
-3.4000401506222948e-46
Samples
17.0ms256×0valid
Compiler

Compiled 228 to 292 computations (-28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (64.4% of total)
ival-sub: 2.0ms (18.4% of total)
ival-div: 1.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.700170346667082e+34
4.7778228271758343e+52
1.0ms
-3.076753305931669e-45
-3.4000401506222948e-46
Compiler

Compiled 228 to 292 computations (-28.1% saved)

simplify202.0ms (2.6%)

Memory
-32.0MiB live, 44.4MiB allocated
Algorithm
egg-herbie
Rules
236×unsub-neg-binary64--.f64-neg.f64-+.f64
156×distribute-lft-neg-in-binary64-*.f64-neg.f64
156×neg-mul-1-binary64-*.f64-neg.f64
74×distribute-rgt-neg-in-binary64-*.f64-neg.f64
66×neg-sub0-binary64--.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053265
171265
295265
3121265
4168265
5217265
6265265
7385265
8561265
9658265
10666265
11668265
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #s(literal 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984 binary64)) (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 z #s(literal -4820814132776971/1606938044258990275541962092341162602522202993782792835301376 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 31000000000000001757761616363586060288 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -4820814132776971/1606938044258990275541962092341162602522202993782792835301376 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 31000000000000001757761616363586060288 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
Outputs
(if (<=.f64 (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #s(literal 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984 binary64)) (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 (-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 t y)))) #s(literal 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984 binary64)) (-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 t y)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 z #s(literal -4820814132776971/1606938044258990275541962092341162602522202993782792835301376 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 31000000000000001757761616363586060288 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -4820814132776971/1606938044258990275541962092341162602522202993782792835301376 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 31000000000000001757761616363586060288 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))

soundness520.0ms (6.7%)

Memory
33.9MiB live, 388.0MiB allocated
Rules
10 952×lower-fma.f64
10 952×lower-fma.f32
9 032×lower-fma.f64
9 032×lower-fma.f32
5 728×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03472160
110302124
231472097
086451977
06849776
121169633
265969583
082509005
041263
064263
1256263
21835263
08588260
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 148 to 91 computations (38.5% saved)

preprocess44.0ms (0.6%)

Memory
-14.3MiB live, 101.5MiB allocated
Compiler

Compiled 278 to 124 computations (55.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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