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

Time bar (total: 10.3s)

analyze224.0ms (2.2%)

Memory
-0.5MiB live, 407.7MiB allocated
Algorithm
1×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)

sample1.9s (18%)

Memory
41.6MiB live, 1 804.4MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 896.0ms
ival-mult: 569.0ms (63.5% of total)
ival-sub: 261.0ms (29.1% of total)
ival-div: 52.0ms (5.8% of total)
ival-true: 6.0ms (0.7% of total)
exact: 5.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess203.0ms (2%)

Memory
-19.2MiB live, 124.5MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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 y (/.f64 (*.f64 #s(literal 2 binary64) z) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)

explain198.0ms (1.9%)

Memory
-10.6MiB live, 297.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
810-0-(/.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/o110
↳(*.f64 (*.f64 y #s(literal 2 binary64)) z)overflow32
↳(*.f64 y t)overflow36
↳(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))overflow94
↳(*.f64 (*.f64 z #s(literal 2 binary64)) z)overflow67
/.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)overflow32
-.f64(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))nan-rescue50
↳(*.f64 (*.f64 z #s(literal 2 binary64)) z)overflow67
↳(*.f64 y t)overflow36
/.f64(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))n/o50
↳(*.f64 y t)overflow36
↳(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))overflow94
↳(*.f64 (*.f64 z #s(literal 2 binary64)) z)overflow67
/.f64(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))u/n40
↳(*.f64 (*.f64 y #s(literal 2 binary64)) z)underflow32
/.f64(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))u/u40
↳(*.f64 (*.f64 y #s(literal 2 binary64)) z)underflow32
↳(*.f64 y t)underflow32
↳(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))underflow8
↳(*.f64 (*.f64 z #s(literal 2 binary64)) z)underflow66
Confusion
Predicted +Predicted -
+3415
-0207
Precision
1.0
Recall
0.6938775510204082
Confusion?
Predicted +Predicted MaybePredicted -
+34015
-00207
Precision?
1.0
Recall?
0.6938775510204082
Freqs
test
numberfreq
0222
132
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
48.0ms512×0valid
Compiler

Compiled 176 to 56 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 20.0ms (70.4% of total)
ival-sub: 5.0ms (17.6% of total)
ival-div: 3.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶81.4%
(-.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 21 to 13 computations (38.1% saved)

simplify102.0ms (1%)

Memory
39.0MiB live, 110.0MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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 y (/.f64 (*.f64 #s(literal 2 binary64) z) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) 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 (*.f64 z #s(literal -2 binary64))) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)))
(*.f64 (*.f64 y #s(literal 2 binary64)) z)
(*.f64 y (*.f64 #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 #s(literal 2 binary64) (*.f64 z z)) (*.f64 y t))
(*.f64 (*.f64 z #s(literal 2 binary64)) z)
(*.f64 #s(literal 2 binary64) (*.f64 z z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
(*.f64 y t)
t

localize42.0ms (0.4%)

Memory
-26.4MiB live, 96.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal 2 binary64))
✓accuracy100.0%
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
✓accuracy98.4%
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
✓accuracy70.2%
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
Samples
26.0ms256×0valid
Compiler

Compiled 67 to 15 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (67.5% of total)
ival-div: 2.0ms (16.9% of total)
ival-sub: 2.0ms (16.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
3.2MiB live, 41.2MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#<alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))>
#<alt (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))>
#<alt (*.f64 (*.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 y #s(literal 2 binary64))>
#<alt (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))>
Outputs
#<alt (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))>
#<alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))>
#<alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))>
#<alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))>
#<alt x>
#<alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))>
#<alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))>
#<alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))>
#<alt (+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))>
#<alt (- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))>
#<alt (- (+ 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)))))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))>
#<alt (- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))>
#<alt (- (+ 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)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))>
#<alt (+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))>
#<alt (- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))>
#<alt (+ 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)))>
#<alt (- x (/ y z))>
#<alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))>
#<alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))>
#<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))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))>
#<alt (- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))>
#<alt (/ y z)>
#<alt (* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z)))>
#<alt (* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))>
#<alt (* 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)))>
#<alt (* -2 (/ z t))>
#<alt (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))>
#<alt (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))>
#<alt (+ (* -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)))))>
#<alt (* -2 (/ z t))>
#<alt (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))>
#<alt (+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))>
#<alt (+ (* -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)))>
#<alt (* -2 (/ z t))>
#<alt (* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))>
#<alt (* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))>
#<alt (* 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))))>
#<alt (/ y z)>
#<alt (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)>
#<alt (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)>
#<alt (/ (+ 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)>
#<alt (/ y z)>
#<alt (* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z))>
#<alt (* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z))>
#<alt (* -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))>
#<alt (/ y z)>
#<alt (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))>
#<alt (+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))>
#<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))>
#<alt (* -2 (/ z t))>
#<alt (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)>
#<alt (/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)>
#<alt (/ (+ (* -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)>
#<alt (* -2 (/ z t))>
#<alt (* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))>
#<alt (* -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))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* -1 (* t y))>
#<alt (- (* 2 (pow z 2)) (* t y))>
#<alt (- (* 2 (pow z 2)) (* t y))>
#<alt (- (* 2 (pow z 2)) (* t y))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (* -1 (* t y))>
#<alt (* y (- (* 2 (/ (pow z 2) y)) t))>
#<alt (* y (- (* 2 (/ (pow z 2) y)) t))>
#<alt (* y (- (* 2 (/ (pow z 2) y)) t))>
#<alt (* -1 (* t y))>
#<alt (* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))>
#<alt (* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))>
#<alt (* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (* -1 (* t y))>
#<alt (* t (- (* 2 (/ (pow z 2) t)) y))>
#<alt (* t (- (* 2 (/ (pow z 2) t)) y))>
#<alt (* t (- (* 2 (/ (pow z 2) t)) y))>
#<alt (* -1 (* t y))>
#<alt (* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))>
#<alt (* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))>
#<alt (* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))>
Calls

39 calls:

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

rewrite679.0ms (6.6%)

Memory
23.0MiB live, 460.1MiB allocated
Algorithm
1×batch-egg-rewrite
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
1×iter limit
1×node limit
1×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 x (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))))
(+.f64 (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (*.f64 x x)) (*.f64 (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 y t)) (*.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))))))))
(+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 z z)) (*.f64 (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (*.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))))))
(-.f64 x (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (*.f64 x x)) (*.f64 (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 y t)) (*.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 z z)) (*.f64 (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (*.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))))))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))))
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))))
(fma.f64 x (/.f64 x (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 z z)) (*.f64 (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (*.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (*.f64 x x)) (*.f64 (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 y t)) (*.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))))))))
(fma.f64 y (/.f64 (*.f64 z #s(literal -2 binary64)) (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 y t))) x)
(fma.f64 y (neg.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) x)
(fma.f64 y (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) x)
(fma.f64 y (*.f64 #s(literal 2 binary64) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) x)
(fma.f64 y (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) x)
(fma.f64 y (/.f64 (*.f64 #s(literal 2 binary64) z) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
(fma.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 y z) (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 y t)))) x)
(fma.f64 #s(literal 2 binary64) (*.f64 y (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) x)
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) x)
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 y z) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
(fma.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
(fma.f64 z (/.f64 (*.f64 y #s(literal -2 binary64)) (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 y t))) x)
(fma.f64 z (neg.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) x)
(fma.f64 z (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) x)
(fma.f64 z (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) x)
(fma.f64 z (/.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
(fma.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
(fma.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) x)
(fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) #s(literal -1 binary64) x)
(fma.f64 (*.f64 y (*.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (*.f64 x x)) (*.f64 (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 y t)) (*.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))))))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 z z)) (*.f64 (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (*.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (*.f64 x x)) (*.f64 (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 y t)) (*.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))))))))
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) (*.f64 y (*.f64 z #s(literal -2 binary64))) x)
(fma.f64 (neg.f64 y) (/.f64 (*.f64 z #s(literal -2 binary64)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
(fma.f64 (neg.f64 (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) (*.f64 y #s(literal -2 binary64)) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) x)
(fma.f64 (neg.f64 z) (/.f64 (*.f64 y #s(literal -2 binary64)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) (*.f64 y (*.f64 #s(literal 2 binary64) z)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) (fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (*.f64 x x)) (*.f64 (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 y t)) (*.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))))))))
(fma.f64 (*.f64 y #s(literal -2 binary64)) (neg.f64 (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) x)
(fma.f64 (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) (*.f64 y #s(literal 2 binary64)) x)
(fma.f64 (*.f64 y z) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) x)
(fma.f64 (*.f64 y z) (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
(fma.f64 (/.f64 z (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t))))) (/.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64)))))) x)
(fma.f64 (/.f64 z (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))) (*.f64 (*.f64 y t) (*.f64 y t)))) (/.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z))))) x)
(fma.f64 (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t))))) (neg.f64 (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))))) x)
(fma.f64 (/.f64 (*.f64 y (*.f64 z #s(literal -2 binary64))) (*.f64 (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))) (fma.f64 y (neg.f64 t) (*.f64 (*.f64 z z) #s(literal -2 binary64))) x)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 y z) (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 y t))) x)
(fma.f64 (/.f64 y (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t))))) (/.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64)))))) x)
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t))) (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t))) (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))))))) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64)) (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t))) (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))) (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (/.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))) (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z))))) (*.f64 (/.f64 (*.f64 (*.f64 y t) (*.f64 y t)) (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (/.f64 (*.f64 (*.f64 y t) (*.f64 y t)) (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))))) (fma.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (/.f64 (*.f64 (*.f64 y t) (*.f64 y t)) (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t)))) #s(literal 1 binary64)) (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))) (*.f64 (*.f64 y t) (*.f64 y t))) #s(literal 1 binary64)) (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t))) (*.f64 (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t))) (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t))))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64)))))) (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t))) (fma.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64)))) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64)))))) (fma.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64)))) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t))))) (/.f64 #s(literal 1 binary64) (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z))))) (fma.f64 (*.f64 (*.f64 y t) (*.f64 y t)) (fma.f64 y (*.f64 y (*.f64 t t)) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64)))) (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 t t)) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))) (*.f64 (*.f64 y t) (*.f64 y t)))) (/.f64 #s(literal 1 binary64) (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z))))) (fma.f64 y (*.f64 y (*.f64 t t)) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 y t)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))))))
(*.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 y t)) (-.f64 (neg.f64 (*.f64 y t)) (*.f64 z (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))))))
(*.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(*.f64 (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 y t)) (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))))))
(*.f64 (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64)))) (*.f64 (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 y t)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64)))))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 y t)))
(*.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))) (*.f64 (*.f64 y t) (*.f64 y t))) (/.f64 #s(literal 1 binary64) (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))))
(*.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))) (*.f64 (*.f64 y t) (*.f64 y t))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z))) (/.f64 (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 y t)) (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))))
(*.f64 (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z))) (*.f64 (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 y t)) (/.f64 #s(literal 1 binary64) (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z))))))
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64)))))))
(*.f64 (*.f64 (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 t) (*.f64 (*.f64 z z) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))))) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))) (*.f64 (*.f64 y t) (*.f64 y t))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))) (*.f64 (*.f64 y t) (*.f64 y t))) (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))) (*.f64 (*.f64 y t) (*.f64 y t)))) (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 y t)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t)))) (fma.f64 (*.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z))))) (*.f64 (*.f64 y t) (*.f64 (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z))) (*.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z))))))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64)))))) (fma.f64 (*.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z))))) (-.f64 (*.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64)))) (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))) (*.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t)))) (*.f64 (fma.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))) (*.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))))))) (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))) (*.f64 y (*.f64 t (fma.f64 y t (*.f64 z (*.f64 #s(literal 2 binary64) z)))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64))) (*.f64 (*.f64 y t) (*.f64 y t))) (fma.f64 (*.f64 y t) (*.f64 (*.f64 y t) (*.f64 y t)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64))))) (fma.f64 (*.f64 y t) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 4 binary64)))))

simplify427.0ms (4.1%)

Memory
8.2MiB live, 677.3MiB allocated
Algorithm
1×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
03472176
110302127
231432097
086001977
Stop Event
1×iter limit
1×node limit
Counts
156 → 148
Calls
Call 1
Inputs
(* -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)))
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 (* -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)))))
(- 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)))
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 (* -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 (/ (- (* 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 (/ 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
(+ 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 (* -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)))
(/ 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 (/ 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 (/ 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 (/ 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))))
(/ 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)
(/ 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))
(/ 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))
(/ (+ (* -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)
(* -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))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -1 (* t y))
(- (* 2 (pow z 2)) (* t y))
(- (* 2 (pow z 2)) (* t y))
(- (* 2 (pow z 2)) (* t y))
(* 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)))))
(* 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)))))
(* 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)))
(* -1 (* t y))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* -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 (pow z 2))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(* -1 (* t y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* -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))))
Outputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 y (/.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 y (/.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 y (/.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t))) x)
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 x (/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 x (/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 x (/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))) x)
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(fma.f64 x (/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(fma.f64 x (/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(fma.f64 x (/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))) x)
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(fma.f64 y (fma.f64 (*.f64 y t) (/.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal -1 binary64) z)) x)
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 z (*.f64 z z))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y (*.f64 t t))) (pow.f64 z #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) z)) x)
(- x (* -2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(fma.f64 z (fma.f64 z (*.f64 z (/.f64 #s(literal 4 binary64) (*.f64 y (*.f64 t t)))) (/.f64 #s(literal 2 binary64) t)) x)
(- (+ 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 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 t t)))) (fma.f64 z #s(literal 2 binary64) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 4 binary64) (*.f64 y t))))) 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)))))
(+.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 z #s(literal 7 binary64)) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 t #s(literal 4 binary64))))) x) (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 t t)))) (fma.f64 z #s(literal 2 binary64) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 4 binary64) (*.f64 y t))))) t))
(- x (* -2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(fma.f64 z (fma.f64 z (*.f64 z (/.f64 #s(literal 4 binary64) (*.f64 y (*.f64 t t)))) (/.f64 #s(literal 2 binary64) t)) x)
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(+.f64 x (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 t t)))) (fma.f64 z #s(literal 2 binary64) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 4 binary64) (*.f64 y t))))) 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)))
(+.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 z #s(literal 7 binary64)) (*.f64 y (*.f64 y (pow.f64 t #s(literal 4 binary64))))) (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 4 binary64) (*.f64 t t))))) y))
x
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(fma.f64 z (fma.f64 z (*.f64 z (/.f64 #s(literal 4 binary64) (*.f64 y (*.f64 t t)))) (/.f64 #s(literal 2 binary64) t)) x)
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(fma.f64 z (fma.f64 (*.f64 z z) (fma.f64 (*.f64 z z) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 4 binary64) (*.f64 y (*.f64 t t)))) (/.f64 #s(literal 2 binary64) t)) x)
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(-.f64 x (/.f64 (fma.f64 (*.f64 t (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) 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)))
(-.f64 (fma.f64 (*.f64 t t) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y (*.f64 y y))) (pow.f64 z #s(literal 5 binary64))) x) (/.f64 (fma.f64 (*.f64 t (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) y) z))
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(-.f64 x (/.f64 (fma.f64 (*.f64 t (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) 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)))
(-.f64 x (/.f64 (fma.f64 (*.f64 t (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (pow.f64 z #s(literal 4 binary64))) y)) z))
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(-.f64 x (/.f64 (fma.f64 (*.f64 t (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) 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 t (fma.f64 (*.f64 y (*.f64 t (*.f64 y y))) (/.f64 #s(literal -1/4 binary64) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 z (*.f64 z z)))) (-.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 t (*.f64 t (fma.f64 (*.f64 t (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y (*.f64 y y))) (pow.f64 z #s(literal 5 binary64))))) (-.f64 x (/.f64 (fma.f64 (*.f64 t (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) y) z)))
x
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(fma.f64 z (fma.f64 z (*.f64 z (/.f64 #s(literal 4 binary64) (*.f64 y (*.f64 t t)))) (/.f64 #s(literal 2 binary64) t)) x)
(- (+ 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 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 t t)))) (fma.f64 z #s(literal 2 binary64) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 4 binary64) (*.f64 y t))))) t))
x
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(fma.f64 z (fma.f64 z (*.f64 z (/.f64 #s(literal 4 binary64) (*.f64 y (*.f64 t t)))) (/.f64 #s(literal 2 binary64) t)) x)
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(+.f64 x (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 t t)))) (fma.f64 z #s(literal 2 binary64) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 4 binary64) (*.f64 y t))))) t))
(/ y z)
(/.f64 y z)
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z)))
(/.f64 (fma.f64 (*.f64 t (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) y) z)
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))
(fma.f64 (*.f64 y y) (fma.f64 t (/.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 y (*.f64 t t)) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) (/.f64 y 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)))
(fma.f64 y (*.f64 y (fma.f64 y (fma.f64 (*.f64 t t) (/.f64 #s(literal 1/4 binary64) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y (*.f64 t (*.f64 t t))) #s(literal 1/8 binary64)) (pow.f64 z #s(literal 7 binary64)))) (/.f64 (*.f64 t #s(literal 1/2 binary64)) (*.f64 z (*.f64 z z))))) (/.f64 y z))
(* -2 (/ z t))
(/.f64 (*.f64 #s(literal -2 binary64) z) t)
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal -4 binary64) (*.f64 y t)) (*.f64 #s(literal -2 binary64) z)) t)
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) (*.f64 t (*.f64 y y))) (*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 z (/.f64 z y)))) t)) 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)))))
(fma.f64 (pow.f64 z #s(literal 7 binary64)) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 t #s(literal 4 binary64))))) (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) (*.f64 t (*.f64 y y))) (*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 z (/.f64 z y)))) t)) t))
(* -2 (/ z t))
(/.f64 (*.f64 #s(literal -2 binary64) z) t)
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal -4 binary64) (*.f64 y t)) (*.f64 #s(literal -2 binary64) z)) t)
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) (*.f64 t (*.f64 y y))) (*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 z (/.f64 z y)))) t)) t)
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(fma.f64 #s(literal -2 binary64) (/.f64 z t) (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal -4 binary64) (*.f64 t t)) (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 (pow.f64 z #s(literal 7 binary64)) #s(literal -16 binary64)) (*.f64 y (pow.f64 t #s(literal 4 binary64))))) y)) y))
(* -2 (/ z t))
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(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal -4 binary64) (*.f64 y t)) (*.f64 #s(literal -2 binary64) z)) t)
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(*.f64 z (fma.f64 z (*.f64 z (fma.f64 #s(literal -8 binary64) (/.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 t (*.f64 t t))))) (/.f64 #s(literal -4 binary64) (*.f64 y (*.f64 t t))))) (/.f64 #s(literal -2 binary64) 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))))
(*.f64 z (fma.f64 z (*.f64 z (fma.f64 (*.f64 z z) (fma.f64 (*.f64 z z) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 t #s(literal 4 binary64))))) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y (*.f64 t (*.f64 t t)))))) (/.f64 #s(literal -4 binary64) (*.f64 y (*.f64 t t))))) (/.f64 #s(literal -2 binary64) t)))
(/ y z)
(/.f64 y z)
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/.f64 (fma.f64 (*.f64 t (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) y) z)
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)
(/.f64 (fma.f64 (*.f64 t (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (pow.f64 z #s(literal 4 binary64))) y)) 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)
(/.f64 (fma.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (*.f64 t (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (pow.f64 z #s(literal 4 binary64))) y))) z)
(/ y z)
(/.f64 y z)
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(/.f64 (fma.f64 (*.f64 t (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) y) 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))
(/.f64 (fma.f64 (*.f64 t t) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y (*.f64 y y))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 t (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) (*.f64 z z)) (neg.f64 y))) (neg.f64 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))
(/.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 z z)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 t t)))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 6 binary64))) (neg.f64 y)))) (neg.f64 z))
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(/.f64 (fma.f64 (*.f64 t (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) y) z)
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(fma.f64 t (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y (*.f64 t (*.f64 y y)))) (pow.f64 z #s(literal 5 binary64)))) (/.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 t (fma.f64 t (fma.f64 t (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 y z))
(* -2 (/ z t))
(/.f64 (*.f64 #s(literal -2 binary64) z) t)
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal -4 binary64) (*.f64 y t)) (*.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 y (*.f64 y (*.f64 t t)))) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal -4 binary64) (*.f64 y t)) (*.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 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y (*.f64 t t)))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 z #s(literal 7 binary64)) (*.f64 (*.f64 t t) (*.f64 y (*.f64 t (*.f64 y y))))) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal -4 binary64) (*.f64 y t)) (*.f64 #s(literal -2 binary64) z)))) t)
(* -2 (/ z t))
(/.f64 (*.f64 #s(literal -2 binary64) z) t)
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal -4 binary64) (*.f64 y t)) (*.f64 #s(literal -2 binary64) z)) t)
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) (*.f64 t (*.f64 y y))) (*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 z (/.f64 z y)))) t)) 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))
(/.f64 (fma.f64 z #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 z #s(literal 7 binary64))) (*.f64 y (*.f64 t (*.f64 y y))))) t)) t)) (neg.f64 t))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (* t y))
(*.f64 y (neg.f64 t))
(- (* 2 (pow z 2)) (* t y))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 y t))
(- (* 2 (pow z 2)) (* t y))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 y t))
(- (* 2 (pow z 2)) (* t y))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 y t))
(* 2 (pow z 2))
(*.f64 #s(literal 2 binary64) (*.f64 z z))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(*.f64 z (*.f64 z (fma.f64 t (/.f64 y (*.f64 z (neg.f64 z))) #s(literal 2 binary64))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(*.f64 z (*.f64 z (fma.f64 t (/.f64 y (*.f64 z (neg.f64 z))) #s(literal 2 binary64))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(*.f64 z (*.f64 z (fma.f64 t (/.f64 y (*.f64 z (neg.f64 z))) #s(literal 2 binary64))))
(* 2 (pow z 2))
(*.f64 #s(literal 2 binary64) (*.f64 z z))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(*.f64 z (*.f64 z (fma.f64 t (/.f64 y (*.f64 z (neg.f64 z))) #s(literal 2 binary64))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(*.f64 z (*.f64 z (fma.f64 t (/.f64 y (*.f64 z (neg.f64 z))) #s(literal 2 binary64))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(*.f64 z (*.f64 z (fma.f64 t (/.f64 y (*.f64 z (neg.f64 z))) #s(literal 2 binary64))))
(* 2 (pow z 2))
(*.f64 #s(literal 2 binary64) (*.f64 z z))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 y t))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 y t))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 y t))
(* -1 (* t y))
(*.f64 y (neg.f64 t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(*.f64 y (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) y) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(*.f64 y (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) y) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(*.f64 y (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) y) t))
(* -1 (* t y))
(*.f64 y (neg.f64 t))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z (/.f64 z y)) t)))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z (/.f64 z y)) t)))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z (/.f64 z y)) t)))
(* 2 (pow z 2))
(*.f64 #s(literal 2 binary64) (*.f64 z z))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 y t))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 y t))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 y t))
(* -1 (* t y))
(*.f64 y (neg.f64 t))
(* t (- (* 2 (/ (pow z 2) t)) y))
(*.f64 t (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) t) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(*.f64 t (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) t) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(*.f64 t (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) t) y))
(* -1 (* t y))
(*.f64 y (neg.f64 t))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(neg.f64 (*.f64 t (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) t) y)))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(neg.f64 (*.f64 t (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) t) y)))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(neg.f64 (*.f64 t (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) t) y)))

eval91.0ms (0.9%)

Memory
-0.3MiB live, 113.3MiB allocated
Compiler

Compiled 22 800 to 1 526 computations (93.3% saved)

prune86.0ms (0.8%)

Memory
-11.0MiB live, 128.6MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5435548
Fresh000
Picked101
Done000
Total5445549
Accuracy
99.9%
Counts
549 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶90.4%
(fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
▶65.9%
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
▶12.8%
(/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))
▶65.9%
(-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))
▶58.3%
(-.f64 x (/.f64 y z))
Compiler

Compiled 134 to 90 computations (32.8% saved)

simplify128.0ms (1.2%)

Memory
10.5MiB live, 84.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t))
✓cost-diff0
(*.f64 z #s(literal 2 binary64))
✓cost-diff0
(*.f64 y (*.f64 z #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))
✓cost-diff0
(*.f64 #s(literal -2 binary64) z)
✓cost-diff0
(/.f64 (*.f64 #s(literal -2 binary64) z) t)
✓cost-diff128
(-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))
✓cost-diff0
(/.f64 #s(literal 2 binary64) t)
✓cost-diff0
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(-.f64 x (/.f64 y z))
✓cost-diff0
(fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))
✓cost-diff0
(/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) z)
✓cost-diff0
(fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
Rules
1 368×lower-fma.f32
1 360×lower-fma.f64
1 016×lower-*.f32
1 004×lower-*.f64
482×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023132
044131
177131
2122131
3177131
4269131
5452131
6673131
7890131
81325131
91926131
102507131
112658131
122681131
132684131
142684131
152696131
162723131
172723131
02723131
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))
y
(fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))
(*.f64 z z)
#s(literal -2 binary64)
(*.f64 y t)
t
x
(-.f64 x (/.f64 y z))
x
(/.f64 y z)
y
z
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
z
(/.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
t
x
(-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))
x
(/.f64 (*.f64 #s(literal -2 binary64) z) t)
(*.f64 #s(literal -2 binary64) z)
#s(literal -2 binary64)
z
t
(/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
y
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t))
#s(literal -2 binary64)
(*.f64 z z)
(*.f64 y t)
t
Outputs
(fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
(fma.f64 z (*.f64 y (/.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)))) x)
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))
(/.f64 y (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)))
y
(fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))
(fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))
(*.f64 z z)
#s(literal -2 binary64)
(*.f64 y t)
t
x
(-.f64 x (/.f64 y z))
x
(/.f64 y z)
y
z
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
z
(/.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
t
x
(-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
x
(/.f64 (*.f64 #s(literal -2 binary64) z) t)
(/.f64 (*.f64 z #s(literal -2 binary64)) t)
(*.f64 #s(literal -2 binary64) z)
(*.f64 z #s(literal -2 binary64))
#s(literal -2 binary64)
z
t
(/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))
(/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(*.f64 z (*.f64 #s(literal 2 binary64) y))
y
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
(fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t))
(fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))
#s(literal -2 binary64)
(*.f64 z z)
(*.f64 y t)
t

localize90.0ms (0.9%)

Memory
-29.1MiB live, 167.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y (*.f64 z #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 y t)
✓accuracy98.1%
(fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t))
✓accuracy70.3%
(/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))
✓accuracy100.0%
(/.f64 (*.f64 #s(literal -2 binary64) z) t)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) z)
✓accuracy100.0%
(-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) t)
✓accuracy99.9%
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
✓accuracy100.0%
(/.f64 y z)
✓accuracy100.0%
(-.f64 x (/.f64 y z))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) z)
✓accuracy99.2%
(fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
✓accuracy98.1%
(fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))
✓accuracy81.1%
(/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))
Samples
53.0ms256×0valid
Compiler

Compiled 141 to 29 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 18.0ms (50.8% of total)
ival-div: 8.0ms (22.6% of total)
ival-add: 6.0ms (16.9% of total)
ival-sub: 2.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series85.0ms (0.8%)

Memory
1.8MiB live, 45.5MiB allocated
Counts
16 → 444
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)>
#<alt (*.f64 #s(literal 2 binary64) z)>
#<alt (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))>
#<alt (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))>
#<alt (-.f64 x (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)>
#<alt (/.f64 #s(literal 2 binary64) t)>
#<alt (-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))>
#<alt (/.f64 (*.f64 #s(literal -2 binary64) z) t)>
#<alt (*.f64 #s(literal -2 binary64) z)>
#<alt (/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))>
#<alt (*.f64 y (*.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 z #s(literal 2 binary64))>
#<alt (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t))>
#<alt (*.f64 y t)>
Outputs
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))>
#<alt (+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))>
#<alt (+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5))))))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))>
#<alt (+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))>
#<alt (+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))>
#<alt (+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))>
#<alt (+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))>
#<alt (+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))))>
#<alt (+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))>
#<alt (+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))>
#<alt (+ x (+ (* -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)))))))))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))>
#<alt (+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)))>
#<alt (+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)))>
#<alt (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))>
#<alt (+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))>
#<alt (+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))>
#<alt (+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))>
#<alt (* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))>
#<alt (* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* -1/2 (/ y (pow z 2)))>
#<alt (* y (- (* -1/4 (/ (* t y) (pow z 4))) (* 1/2 (/ 1 (pow z 2)))))>
#<alt (* y (- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 6))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2)))))>
#<alt (* y (- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 8))) (* 1/8 (/ (pow t 2) (pow z 6))))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2)))))>
#<alt (/ 1 t)>
#<alt (+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t))>
#<alt (- (+ (* 4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (/ 1 t)) (* -2 (/ (pow z 2) (* (pow t 2) y))))>
#<alt (- (+ (* 8 (/ (pow z 6) (* (pow t 4) (pow y 3)))) (/ 1 t)) (+ (* -4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 2) (* (pow t 2) y)))))>
#<alt (/ 1 t)>
#<alt (+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t))>
#<alt (+ (* -1 (/ (- (* -4 (/ (pow z 4) (* (pow t 3) y))) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow t 4) y))) (* -4 (/ (pow z 4) (pow t 3)))) y)) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t))>
#<alt (/ 1 t)>
#<alt (+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t))>
#<alt (+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t))>
#<alt (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 4 (/ 1 (* (pow t 3) (pow y 2)))))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t))>
#<alt (* -1/2 (/ y (pow z 2)))>
#<alt (/ (+ (* -1/2 y) (* -1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (* -1/2 y) (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4)))) (* 1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (* -1/2 y) (* -1/16 (/ (* (pow t 3) (pow y 4)) (pow z 6)))) (+ (* 1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/4 (/ (* t (pow y 2)) (pow z 2))))) (pow z 2))>
#<alt (* -1/2 (/ y (pow z 2)))>
#<alt (/ (+ (* -1/2 y) (* -1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (* -1/2 y) (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4)))) (* 1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (* -1/2 y) (* -1/16 (/ (* (pow t 3) (pow y 4)) (pow z 6)))) (+ (* 1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/4 (/ (* t (pow y 2)) (pow z 2))))) (pow z 2))>
#<alt (* -1/2 (/ y (pow z 2)))>
#<alt (+ (* -1/2 (/ y (pow z 2))) (* -1/4 (/ (* t (pow y 2)) (pow z 4))))>
#<alt (+ (* -1/2 (/ y (pow z 2))) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 4))))))>
#<alt (+ (* -1/2 (/ y (pow z 2))) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 8))) (* 1/8 (/ (pow y 3) (pow z 6))))) (* 1/4 (/ (pow y 2) (pow z 4))))))>
#<alt (/ 1 t)>
#<alt (/ (+ 1 (* 2 (/ (pow z 2) (* t y)))) t)>
#<alt (/ (- (+ 1 (* 4 (/ (pow z 4) (* (pow t 2) (pow y 2))))) (* -2 (/ (pow z 2) (* t y)))) t)>
#<alt (/ (- (+ 1 (* 8 (/ (pow z 6) (* (pow t 3) (pow y 3))))) (+ (* -4 (/ (pow z 4) (* (pow t 2) (pow y 2)))) (* -2 (/ (pow z 2) (* t y))))) t)>
#<alt (/ 1 t)>
#<alt (* -1 (/ (- (* -2 (/ (pow z 2) (* t y))) 1) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* t (pow y 2)))) (* -2 (/ (pow z 2) y))) t)) 1) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 6) (* t (pow y 3)))) (* 4 (/ (pow z 4) (pow y 2)))) t)) (* -2 (/ (pow z 2) y))) t)) 1) t))>
#<alt (* t y)>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (* -2 (pow z 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* -2 (pow z 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* -2 (pow z 2))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (* t y)>
#<alt (* y (+ t (* -2 (/ (pow z 2) y))))>
#<alt (* y (+ t (* -2 (/ (pow z 2) y))))>
#<alt (* y (+ t (* -2 (/ (pow z 2) y))))>
#<alt (* t y)>
#<alt (* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))>
#<alt (* -2 (pow z 2))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (* t y)>
#<alt (* t (+ y (* -2 (/ (pow z 2) t))))>
#<alt (* t (+ y (* -2 (/ (pow z 2) t))))>
#<alt (* t (+ y (* -2 (/ (pow z 2) t))))>
#<alt (* t y)>
#<alt (* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))>
#<alt (* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))>
#<alt (* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))>
#<alt (* -1 (/ y z))>
#<alt (- x (/ y z))>
#<alt (- x (/ y z))>
#<alt (- x (/ y z))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt x>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (* -1 (/ y z))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (/ y z))>
#<alt (/ (- (* x z) y) z)>
#<alt (/ (- (* x z) y) z)>
#<alt (/ (- (* x z) y) z)>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (* 2 (/ z t))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* 2 (/ z t))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* 2 (/ z t))>
#<alt (/ (+ (* 2 z) (* t x)) t)>
#<alt (/ (+ (* 2 z) (* t x)) t)>
#<alt (/ (+ (* 2 z) (* t x)) t)>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (* 2 (/ z t))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (* 2 (/ z t))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- x (* -2 (/ z t)))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (* 2 (/ z t))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* 2 (/ z t))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* 2 (/ z t))>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -1 (/ y z))>
#<alt (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))>
#<alt (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z)))>
#<alt (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* y (+ (* -1/4 (/ (pow t 2) (pow z 5))) (* -1/8 (/ (* (pow t 3) y) (pow z 7))))))) (/ 1 z)))>
#<alt (* 2 (/ z t))>
#<alt (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))>
#<alt (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))))>
#<alt (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3)))))))>
#<alt (* 2 (/ z t))>
#<alt (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))>
#<alt (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t)))>
#<alt (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t)))>
#<alt (* 2 (/ z t))>
#<alt (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))>
#<alt (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))>
#<alt (* 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))))>
#<alt (* -1 (/ y z))>
#<alt (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)>
#<alt (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z)>
#<alt (/ (+ (* -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)>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))>
#<alt (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z))>
#<alt (* -1 (/ (+ 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))>
#<alt (* -1 (/ y z))>
#<alt (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))>
#<alt (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))>
#<alt (+ (* -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))))))))>
#<alt (* 2 (/ z t))>
#<alt (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)>
#<alt (/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t)>
#<alt (/ (+ (* 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)>
#<alt (* 2 (/ z t))>
#<alt (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t))>
#<alt (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))>
#<alt (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 3)))) (* -8 (/ (pow z 5) (pow y 2)))) t)) (* 4 (/ (pow z 3) y))) t))) t))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* t y)>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (* -2 (pow z 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* -2 (pow z 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* -2 (pow z 2))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (* t y)>
#<alt (* y (+ t (* -2 (/ (pow z 2) y))))>
#<alt (* y (+ t (* -2 (/ (pow z 2) y))))>
#<alt (* y (+ t (* -2 (/ (pow z 2) y))))>
#<alt (* t y)>
#<alt (* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))>
#<alt (* -2 (pow z 2))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (* t y)>
#<alt (* t (+ y (* -2 (/ (pow z 2) t))))>
#<alt (* t (+ y (* -2 (/ (pow z 2) t))))>
#<alt (* t (+ y (* -2 (/ (pow z 2) t))))>
#<alt (* t y)>
#<alt (* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))>
#<alt (* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))>
#<alt (* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
Calls

111 calls:

TimeVariablePointExpression
2.0ms
t
@inf
(+ (* (* 2 z) (/ y (+ (* (* z z) -2) (* y t)))) x)
1.0ms
t
@0
(+ (* (* 2 z) (/ y (+ (* (* z z) -2) (* y t)))) x)
1.0ms
x
@0
(+ (* (* 2 z) (/ y (+ (* (* z z) -2) (* y t)))) x)
1.0ms
y
@inf
(+ (* (* 2 z) (/ y (+ (* (* z z) -2) (* y t)))) x)
0.0ms
z
@inf
(+ (* (* 2 z) (/ y (+ (* (* z z) -2) (* y t)))) x)

rewrite311.0ms (3%)

Memory
31.0MiB live, 500.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 086×lower-fma.f32
6 078×lower-fma.f64
4 442×lower-*.f32
4 430×lower-*.f64
4 364×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023101
044100
1182100
21282100
08581100
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 513
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
(*.f64 #s(literal 2 binary64) z)
(/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t)))
(fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))
(-.f64 x (/.f64 y z))
(/.f64 y z)
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(/.f64 #s(literal 2 binary64) t)
(-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))
(/.f64 (*.f64 #s(literal -2 binary64) z) t)
(*.f64 #s(literal -2 binary64) z)
(/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))
(*.f64 y (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t))
(*.f64 y t)
Outputs
(+.f64 x (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))))
(+.f64 (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (*.f64 y (*.f64 #s(literal 2 binary64) z))) (*.f64 (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)))) (-.f64 (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x))))
(-.f64 x (/.f64 (*.f64 y (*.f64 z #s(literal -2 binary64))) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (*.f64 y (*.f64 #s(literal 2 binary64) z))) (*.f64 (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)))) (-.f64 (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (*.f64 y (*.f64 z #s(literal -2 binary64))) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (*.f64 y (*.f64 #s(literal 2 binary64) z))) (*.f64 (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)))) (+.f64 x (/.f64 (*.f64 y (*.f64 z #s(literal -2 binary64))) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 z y) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(fma.f64 z (*.f64 #s(literal 2 binary64) (/.f64 y (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)))) x)
(fma.f64 y (/.f64 (*.f64 #s(literal 2 binary64) z) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) (*.f64 #s(literal 2 binary64) z)) x)
(fma.f64 (/.f64 y (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) (*.f64 #s(literal 2 binary64) z) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(fma.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(fma.f64 (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) #s(literal 1 binary64) x)
(fma.f64 (*.f64 y (*.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(fma.f64 (/.f64 (*.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (*.f64 y (*.f64 #s(literal 2 binary64) z))) (*.f64 (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x))))
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) (*.f64 y (*.f64 #s(literal 2 binary64) z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) z))) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) (/.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (*.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(fma.f64 (/.f64 (*.f64 z y) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) #s(literal 2 binary64) x)
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) y x)
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 z #s(literal -2 binary64))) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)) (*.f64 y (*.f64 #s(literal 2 binary64) z))))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) (/.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (*.f64 (/.f64 y (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) #s(literal 2 binary64)) z x)
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (fma.f64 (*.f64 y t) (*.f64 y (*.f64 t (*.f64 y t))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 y t) (-.f64 (*.f64 y t) (*.f64 z (*.f64 z #s(literal -2 binary64)))))))) x)
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (neg.f64 (*.f64 y t)) (*.f64 y t)))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t)))) x)
(fma.f64 (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 y t) (*.f64 y (*.f64 t (*.f64 y t))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64))))) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 y t) (-.f64 (*.f64 y t) (*.f64 z (*.f64 z #s(literal -2 binary64)))))) x)
(fma.f64 (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 y t) (*.f64 y (*.f64 t (*.f64 y t))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 y t) (-.f64 (*.f64 y t) (*.f64 z (*.f64 z #s(literal -2 binary64)))))))) x)
(fma.f64 (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (neg.f64 (*.f64 y t)) (*.f64 y t)))) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t)) x)
(fma.f64 (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (neg.f64 (*.f64 y t)) (*.f64 y t)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t)))) x)
(fma.f64 (/.f64 y (fma.f64 (*.f64 y t) (*.f64 y (*.f64 t (*.f64 y t))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 y t) (-.f64 (*.f64 y t) (*.f64 z (*.f64 z #s(literal -2 binary64)))))))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (neg.f64 (*.f64 y t)) (*.f64 y t)))) (/.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t)))) x)
(fma.f64 (/.f64 z (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) (/.f64 z (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 z (fma.f64 (*.f64 y t) (*.f64 y (*.f64 t (*.f64 y t))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 y t) (-.f64 (*.f64 y t) (*.f64 z (*.f64 z #s(literal -2 binary64)))))))) x)
(fma.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (neg.f64 (*.f64 y t)) (*.f64 y t)))) (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t)))) x)
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) z) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y t) (*.f64 y (*.f64 t (*.f64 y t))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64))))) (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 y t) (-.f64 (*.f64 y t) (*.f64 z (*.f64 z #s(literal -2 binary64)))))))) x)
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (neg.f64 (*.f64 y t)) (*.f64 y t)))) (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t)))) x)
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) (/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 (neg.f64 z) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) y)) x)
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(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))))
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(*.f64 (/.f64 (neg.f64 z) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) y)))
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(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z #s(literal -2 binary64))))
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(*.f64 #s(literal 2 binary64) (*.f64 z y))
(*.f64 z (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 #s(literal 2 binary64) z))
(*.f64 (*.f64 #s(literal 2 binary64) z) y)
(*.f64 (*.f64 y (*.f64 #s(literal 2 binary64) z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 z y) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z #s(literal -2 binary64))))
(*.f64 (*.f64 y #s(literal 2 binary64)) z)
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(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
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(*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1 binary64))
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(+.f64 (*.f64 y t) (*.f64 z (*.f64 z #s(literal -2 binary64))))
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(fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))
(fma.f64 y t (*.f64 z (*.f64 z #s(literal -2 binary64))))
(fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))
(fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t))
(fma.f64 t y (*.f64 z (*.f64 z #s(literal -2 binary64))))
(fma.f64 (*.f64 z #s(literal -2 binary64)) z (*.f64 y t))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t))) (neg.f64 (/.f64 (*.f64 y (*.f64 t (*.f64 y t))) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t)))))
(neg.f64 (neg.f64 (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))))
(/.f64 (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) #s(literal -1 binary64))
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(/.f64 (fma.f64 (*.f64 y t) (*.f64 y (*.f64 t (*.f64 y t))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64)))) (fma.f64 y (*.f64 t (*.f64 y t)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) (*.f64 #s(literal -2 binary64) (*.f64 y t))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y t) (*.f64 z (*.f64 z #s(literal -2 binary64)))) (-.f64 (*.f64 y (*.f64 t (*.f64 y t))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (neg.f64 (*.f64 y t)) (*.f64 y t))) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 y t) (*.f64 y (*.f64 t (*.f64 y t))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64))))) (neg.f64 (fma.f64 y (*.f64 t (*.f64 y t)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) (*.f64 #s(literal -2 binary64) (*.f64 y t)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (neg.f64 (*.f64 y t)) (*.f64 y t)))) (neg.f64 (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t))))
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t))) (*.f64 (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t)) (*.f64 y (*.f64 t (*.f64 y t))))) (*.f64 (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t)) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y t) (*.f64 y (*.f64 t (*.f64 y t))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 y t) (-.f64 (*.f64 y t) (*.f64 z (*.f64 z #s(literal -2 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (neg.f64 (*.f64 y t)) (*.f64 y t))))) (neg.f64 (neg.f64 (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t)))))
(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 t (*.f64 y t))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))) (neg.f64 (-.f64 (*.f64 y t) (*.f64 z (*.f64 z #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 t (*.f64 y t))) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t))) (fma.f64 (/.f64 (*.f64 y (*.f64 t (*.f64 y t))) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t))) (/.f64 (*.f64 y (*.f64 t (*.f64 y t))) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t))) (/.f64 (*.f64 y (*.f64 t (*.f64 y t))) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) #s(literal -1 binary64))
(*.f64 (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 y t) (*.f64 y (*.f64 t (*.f64 y t))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 y t) (-.f64 (*.f64 y t) (*.f64 z (*.f64 z #s(literal -2 binary64))))))))
(*.f64 (fma.f64 (*.f64 y t) (*.f64 y (*.f64 t (*.f64 y t))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 t (*.f64 y t)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) (*.f64 #s(literal -2 binary64) (*.f64 y t)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t)))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (neg.f64 (*.f64 y t)) (*.f64 y t))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))))
(*.f64 (neg.f64 (fma.f64 (*.f64 y t) (*.f64 y (*.f64 t (*.f64 y t))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 y t) (-.f64 (*.f64 y t) (*.f64 z (*.f64 z #s(literal -2 binary64)))))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (neg.f64 (*.f64 y t)) (*.f64 y t)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 z (*.f64 z #s(literal -2 binary64))) (*.f64 y t)))))
(*.f64 (-.f64 (*.f64 y (*.f64 t (*.f64 y t))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y t) (*.f64 z (*.f64 z #s(literal -2 binary64))))))
(*.f64 y t)
(*.f64 t y)

simplify405.0ms (3.9%)

Memory
-25.0MiB live, 573.5MiB allocated
Algorithm
1×egg-herbie
Rules
10 836×lower-fma.f64
10 836×lower-fma.f32
5 214×lower-*.f64
5 214×lower-*.f32
3 368×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04714386
113794351
242864325
083564060
Stop Event
1×iter limit
1×node limit
Counts
444 → 421
Calls
Call 1
Inputs
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 (* -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))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5))))))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))))
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))))
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))))
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))))
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
(+ x (+ (* -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)))))))))
x
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)))
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) 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
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Outputs
x
(+ x (* 2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(fma.f64 z (fma.f64 z (*.f64 z (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 t t) y))) (/.f64 #s(literal 2 binary64) t)) x)
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(fma.f64 z (fma.f64 (*.f64 z z) (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 z z) (*.f64 t (*.f64 t (*.f64 t (*.f64 y y))))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 t t) y))) (/.f64 #s(literal 2 binary64) t)) x)
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
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(+.f64 x (/.f64 (fma.f64 t (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 z z)) (neg.f64 y)) z))
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5))))))
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(-.f64 x (/.f64 (fma.f64 t (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (*.f64 t t) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 z z) (*.f64 z z))) y)) z))
x
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(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))))
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(+ x (* 2 (/ z t)))
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(*.f64 z (fma.f64 z (*.f64 z (fma.f64 z (*.f64 z (fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 z z) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 t #s(literal 4 binary64))))) (/.f64 #s(literal 8 binary64) (*.f64 t (*.f64 t (*.f64 t (*.f64 y y))))))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 t t) y)))) (/.f64 #s(literal 2 binary64) t)))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/.f64 (fma.f64 t (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 z z)) (neg.f64 y)) z)
(/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z)
(/.f64 (fma.f64 t (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 z z)) (fma.f64 (*.f64 t t) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z z))) (neg.f64 y))) z)
(/ (+ (* -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)
(/.f64 (fma.f64 t (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 z z)) (fma.f64 (*.f64 t t) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z z))) (fma.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 6 binary64))) (neg.f64 y)))) z)
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(/.f64 (fma.f64 t (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 z z)) y) (neg.f64 z))
(* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z))
(/.f64 (fma.f64 t (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (*.f64 t t) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 z z) (*.f64 z z))) y)) (neg.f64 z))
(* -1 (/ (+ 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))
(/.f64 (fma.f64 t (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (*.f64 t t) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 z z) (*.f64 z z))) (fma.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 z #s(literal 6 binary64))) y))) (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(/.f64 (fma.f64 t (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 z z)) (neg.f64 y)) z)
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(fma.f64 t (/.f64 (*.f64 t (*.f64 #s(literal -1/4 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 z #s(literal 5 binary64))) (/.f64 (fma.f64 t (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 z z)) (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 (*.f64 t t) (fma.f64 t (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y (*.f64 y y))) (pow.f64 z #s(literal 5 binary64)))) (/.f64 (fma.f64 t (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 z z)) (neg.f64 y)) z))
(* 2 (/ z t))
(/.f64 (*.f64 #s(literal 2 binary64) z) t)
(/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 t 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 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 t y)) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 5 binary64))) (*.f64 t (*.f64 t (*.f64 y y)))))) 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 #s(literal 8 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 t (*.f64 t (*.f64 y y)))) (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 z #s(literal 7 binary64)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 t y)) (*.f64 #s(literal 2 binary64) z)))) t)
(* 2 (/ z t))
(/.f64 (*.f64 #s(literal 2 binary64) z) t)
(* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t))
(/.f64 (fma.f64 z #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -4 binary64)) (*.f64 t y))) (neg.f64 t))
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))
(/.f64 (-.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 z (*.f64 z z)) y) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 5 binary64))) (*.f64 t (*.f64 y y)))) t)) (neg.f64 t))
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 3)))) (* -8 (/ (pow z 5) (pow y 2)))) t)) (* 4 (/ (pow z 3) y))) t))) t))
(/.f64 (-.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 z (*.f64 z z))) y) (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 z #s(literal 7 binary64)) (*.f64 t (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) #s(literal -8 binary64)) (*.f64 y y))) t)) t)) (neg.f64 t))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 (* y z))
(*.f64 #s(literal 2 binary64) (*.f64 z y))
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* t y)
(*.f64 t y)
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 t y))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 t y))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 t y))
(* -2 (pow z 2))
(*.f64 z (*.f64 z #s(literal -2 binary64)))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(*.f64 z (*.f64 z (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64))))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(*.f64 z (*.f64 z (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64))))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(*.f64 z (*.f64 z (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64))))
(* -2 (pow z 2))
(*.f64 z (*.f64 z #s(literal -2 binary64)))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(*.f64 z (*.f64 z (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64))))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(*.f64 z (*.f64 z (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64))))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(*.f64 z (*.f64 z (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64))))
(* -2 (pow z 2))
(*.f64 z (*.f64 z #s(literal -2 binary64)))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 t y))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 t y))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 t y))
(* t y)
(*.f64 t y)
(* y (+ t (* -2 (/ (pow z 2) y))))
(*.f64 y (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) y) t))
(* y (+ t (* -2 (/ (pow z 2) y))))
(*.f64 y (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) y) t))
(* y (+ t (* -2 (/ (pow z 2) y))))
(*.f64 y (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) y) t))
(* t y)
(*.f64 t y)
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(*.f64 y (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) y) t))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(*.f64 y (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) y) t))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(*.f64 y (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) y) t))
(* -2 (pow z 2))
(*.f64 z (*.f64 z #s(literal -2 binary64)))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 t y))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 t y))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 t y))
(* t y)
(*.f64 t y)
(* t (+ y (* -2 (/ (pow z 2) t))))
(*.f64 t (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) t) y))
(* t (+ y (* -2 (/ (pow z 2) t))))
(*.f64 t (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) t) y))
(* t (+ y (* -2 (/ (pow z 2) t))))
(*.f64 t (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) t) y))
(* t y)
(*.f64 t y)
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(*.f64 t (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) t) y))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(*.f64 t (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) t) y))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(*.f64 t (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) t) y))
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)

eval227.0ms (2.2%)

Memory
27.6MiB live, 175.0MiB allocated
Compiler

Compiled 20 900 to 1 377 computations (93.4% saved)

prune269.0ms (2.6%)

Memory
-9.3MiB live, 154.2MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New9555960
Fresh000
Picked235
Done000
Total9578965
Accuracy
99.9%
Counts
965 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓65.9%
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
▶58.3%
(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
✓12.8%
(/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))
▶13.2%
(/.f64 (*.f64 #s(literal 2 binary64) z) t)
▶12.1%
(/.f64 y (neg.f64 z))
✓58.3%
(-.f64 x (/.f64 y z))
▶58.3%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))
▶33.2%
(-.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))))
Compiler

Compiled 143 to 105 computations (26.6% saved)

simplify96.0ms (0.9%)

Memory
0.8MiB live, 80.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64))))
✓cost-diff128
(-.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))))
✓cost-diff192
(*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))
✓cost-diff12928
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64)))
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 z y))
✓cost-diff0
(*.f64 #s(literal 2 binary64) z)
✓cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) z) t)
✓cost-diff0
(neg.f64 z)
✓cost-diff0
(/.f64 y (neg.f64 z))
✓cost-diff0
(/.f64 #s(literal -1 binary64) z)
✓cost-diff192
(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
Rules
660×lower-fma.f32
658×lower-fma.f64
532×lower-*.f32
526×lower-*.f64
408×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02398
03993
16592
210288
314984
426584
541684
668084
793284
8125084
9160784
10181384
11182584
12182684
13182684
0182683
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
y
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
x
(/.f64 y (neg.f64 z))
y
(neg.f64 z)
z
(/.f64 (*.f64 #s(literal 2 binary64) z) t)
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
t
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(/.f64 #s(literal 1 binary64) (/.f64 z y))
#s(literal 1 binary64)
(/.f64 z y)
z
y
(-.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))))
x
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))
(log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64))))
(/.f64 t (*.f64 z #s(literal -2 binary64)))
t
(*.f64 z #s(literal -2 binary64))
z
#s(literal -2 binary64)
#s(literal -1 binary64)
Outputs
(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
(-.f64 x (/.f64 y z))
y
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
x
(/.f64 y (neg.f64 z))
y
(neg.f64 z)
z
(/.f64 (*.f64 #s(literal 2 binary64) z) t)
(/.f64 z (*.f64 t #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
z
t
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))
(-.f64 x (/.f64 y z))
x
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 y z)
#s(literal 1 binary64)
(/.f64 z y)
z
y
(-.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
x
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64)))
(/.f64 z (*.f64 t #s(literal -1/2 binary64)))
(*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))
(neg.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))))
(log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64))))
(/.f64 t (*.f64 z #s(literal -2 binary64)))
t
(*.f64 z #s(literal -2 binary64))
z
#s(literal -2 binary64)
#s(literal -1 binary64)

localize197.0ms (1.9%)

Memory
-0.1MiB live, 74.2MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 z #s(literal -2 binary64))
✓accuracy100.0%
(-.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))))
✓accuracy97.1%
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64)))
✓accuracy86.4%
(log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64))))
✓accuracy100.0%
(/.f64 z y)
✓accuracy100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 z y))
✓accuracy100.0%
(/.f64 (*.f64 #s(literal 2 binary64) z) t)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) z)
✓accuracy100.0%
(/.f64 y (neg.f64 z))
✓accuracy100.0%
(neg.f64 z)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) z)
✓accuracy99.9%
(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
Samples
22.0ms130×0valid
20.0ms126×0invalid
Compiler

Compiled 101 to 26 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 11.0ms (41.2% of total)
ival-mult: 6.0ms (22.4% of total)
ival-exp: 2.0ms (7.5% of total)
ival-sub: 2.0ms (7.5% of total)
ival-log: 2.0ms (7.5% of total)
ival-add: 1.0ms (3.7% of total)
ival-neg: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series326.0ms (3.2%)

Memory
21.2MiB live, 184.7MiB allocated
Counts
14 → 324
Calls
Call 1
Inputs
#<alt (fma.f64 y (/.f64 #s(literal -1 binary64) z) x)>
#<alt (/.f64 #s(literal -1 binary64) z)>
#<alt (/.f64 y (neg.f64 z))>
#<alt (neg.f64 z)>
#<alt (/.f64 (*.f64 #s(literal 2 binary64) z) t)>
#<alt (*.f64 #s(literal 2 binary64) z)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 z y))>
#<alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (/.f64 z y)>
#<alt (exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64)))>
#<alt (*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))>
#<alt (-.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))))>
#<alt (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64))))>
#<alt (*.f64 z #s(literal -2 binary64))>
Outputs
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (* -1 (/ y z))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (/ y z))>
#<alt (/ (+ (* -1 y) (* x z)) z)>
#<alt (/ (+ (* -1 y) (* x z)) z)>
#<alt (/ (+ (* -1 y) (* x z)) z)>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (* -1 (/ y z))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt x>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (* -1 (/ y z))>
#<alt (- x (/ y z))>
#<alt (- x (/ y z))>
#<alt (- x (/ y z))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt x>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (/ y z))>
#<alt (/ (- (* x z) y) z)>
#<alt (/ (- (* x z) y) z)>
#<alt (/ (- (* x z) y) z)>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (* -1 (/ y z))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -1 (+ (log t) (log (/ -1/2 z))))>
#<alt (* -1 (+ (log t) (log (/ -1/2 z))))>
#<alt (* -1 (+ (log t) (log (/ -1/2 z))))>
#<alt (* -1 (+ (log t) (log (/ -1/2 z))))>
#<alt (* -1 (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t)))))>
#<alt (* -1 (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t)))))>
#<alt (* -1 (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t)))))>
#<alt (* -1 (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t)))))>
#<alt (* -1 (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t)))))>
#<alt (* -1 (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t)))))>
#<alt (* -1 (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t)))))>
#<alt (* -1 (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t)))))>
#<alt (* -1 (+ (log (* -1/2 t)) (* -1 (log z))))>
#<alt (* -1 (+ (log (* -1/2 t)) (* -1 (log z))))>
#<alt (* -1 (+ (log (* -1/2 t)) (* -1 (log z))))>
#<alt (* -1 (+ (log (* -1/2 t)) (* -1 (log z))))>
#<alt (* -1 (+ (log (* -1/2 t)) (log (/ 1 z))))>
#<alt (* -1 (+ (log (* -1/2 t)) (log (/ 1 z))))>
#<alt (* -1 (+ (log (* -1/2 t)) (log (/ 1 z))))>
#<alt (* -1 (+ (log (* -1/2 t)) (log (/ 1 z))))>
#<alt (* -1 (+ (log (* 1/2 t)) (log (/ -1 z))))>
#<alt (* -1 (+ (log (* 1/2 t)) (log (/ -1 z))))>
#<alt (* -1 (+ (log (* 1/2 t)) (log (/ -1 z))))>
#<alt (* -1 (+ (log (* 1/2 t)) (log (/ -1 z))))>
#<alt (* 2 (/ z t))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- x (* -2 (/ z t)))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* 2 (/ z t))>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (* 2 (/ z t))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* 2 (/ z t))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (+ (log t) (log (/ -1/2 z)))>
#<alt (+ (log t) (log (/ -1/2 z)))>
#<alt (+ (log t) (log (/ -1/2 z)))>
#<alt (+ (log t) (log (/ -1/2 z)))>
#<alt (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t))))>
#<alt (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t))))>
#<alt (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t))))>
#<alt (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t))))>
#<alt (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t))))>
#<alt (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t))))>
#<alt (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t))))>
#<alt (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t))))>
#<alt (+ (log (* -1/2 t)) (* -1 (log z)))>
#<alt (+ (log (* -1/2 t)) (* -1 (log z)))>
#<alt (+ (log (* -1/2 t)) (* -1 (log z)))>
#<alt (+ (log (* -1/2 t)) (* -1 (log z)))>
#<alt (+ (log (* -1/2 t)) (log (/ 1 z)))>
#<alt (+ (log (* -1/2 t)) (log (/ 1 z)))>
#<alt (+ (log (* -1/2 t)) (log (/ 1 z)))>
#<alt (+ (log (* -1/2 t)) (log (/ 1 z)))>
#<alt (+ (log (* 1/2 t)) (log (/ -1 z)))>
#<alt (+ (log (* 1/2 t)) (log (/ -1 z)))>
#<alt (+ (log (* 1/2 t)) (log (/ -1 z)))>
#<alt (+ (log (* 1/2 t)) (log (/ -1 z)))>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
Calls

81 calls:

TimeVariablePointExpression
135.0ms
t
@0
(* (log (/ t (* z -2))) -1)
115.0ms
t
@-inf
(* (log (/ t (* z -2))) -1)
40.0ms
z
@0
(* (log (/ t (* z -2))) -1)
15.0ms
z
@-inf
(* (log (/ t (* z -2))) -1)
7.0ms
z
@inf
(* (log (/ t (* z -2))) -1)

rewrite309.0ms (3%)

Memory
-13.9MiB live, 503.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 144×lower-fma.f32
8 142×lower-fma.f64
4 862×lower-*.f32
4 856×lower-*.f64
3 400×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02375
03970
113561
295060
0862059
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 664
Calls
Call 1
Inputs
(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
(/.f64 #s(literal -1 binary64) z)
(/.f64 y (neg.f64 z))
(neg.f64 z)
(/.f64 (*.f64 #s(literal 2 binary64) z) t)
(*.f64 #s(literal 2 binary64) z)
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 z y)
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))
(-.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))))
(log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64))))
(*.f64 z #s(literal -2 binary64))
Outputs
(+.f64 x (/.f64 y (neg.f64 z)))
(+.f64 (/.f64 y (neg.f64 z)) x)
(+.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 (/.f64 y (neg.f64 z)) x) (*.f64 z z))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 y (neg.f64 z)) x))))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (/.f64 y z) (+.f64 x (/.f64 y z))))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 x x (*.f64 (/.f64 y z) (+.f64 x (/.f64 y z)))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y z))) (/.f64 (*.f64 y y) (*.f64 (-.f64 (/.f64 y (neg.f64 z)) x) (*.f64 z z))))
(-.f64 x (/.f64 y z))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y z) x))
(-.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 (/.f64 y (neg.f64 z)) x) (*.f64 z z))) (/.f64 (*.f64 x x) (-.f64 (/.f64 y (neg.f64 z)) x)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (/.f64 y z) (+.f64 x (/.f64 y z))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 x x (*.f64 (/.f64 y z) (+.f64 x (/.f64 y z))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y z))) (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y z)) (*.f64 z z))))
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 y z))
(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y z) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) y x)
(fma.f64 x #s(literal 1 binary64) (/.f64 y (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) x (/.f64 y (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z)) x)
(fma.f64 (/.f64 y z) #s(literal -1 binary64) x)
(fma.f64 (/.f64 y (neg.f64 z)) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (/.f64 y z) (+.f64 x (/.f64 y z))))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 x x (*.f64 (/.f64 y z) (+.f64 x (/.f64 y z)))))))
(fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (neg.f64 z)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 y (neg.f64 z)) x))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y z))) (/.f64 (*.f64 y y) (*.f64 (-.f64 (/.f64 y (neg.f64 z)) x) (*.f64 z z))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) x)
(fma.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 z (neg.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (neg.f64 y)) #s(literal -1/2 binary64)) x)
(fma.f64 (neg.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) x)
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(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 t z)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 t z)) (log.f64 (/.f64 t z)) (fma.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -2 binary64)) (*.f64 (log.f64 (/.f64 t z)) (log.f64 #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (*.f64 z #s(literal -2 binary64)))) (neg.f64 (log.f64 (*.f64 z #s(literal -2 binary64)))))) (-.f64 (log.f64 t) (neg.f64 (log.f64 (*.f64 z #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t)) (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t)))) (+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t))))
(/.f64 (-.f64 (*.f64 (log.f64 (neg.f64 t)) (log.f64 (neg.f64 t))) (*.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) (log.f64 (*.f64 z #s(literal 2 binary64))))) (+.f64 (log.f64 (neg.f64 t)) (log.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 t z)) (log.f64 (/.f64 t z))) (*.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -2 binary64)))) (+.f64 (log.f64 (/.f64 t z)) (log.f64 #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t)))
(*.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 z #s(literal -2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 z #s(literal -2 binary64))) (+.f64 (log.f64 (*.f64 z #s(literal -2 binary64))) (log.f64 t))))))
(*.f64 (*.f64 (log.f64 (*.f64 t (*.f64 z #s(literal -2 binary64)))) (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 t (*.f64 z #s(literal -2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 z #s(literal -2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 2 binary64)))
(neg.f64 (*.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) z))
(/.f64 (*.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64)))) (*.f64 z #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 z (*.f64 z z)))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 z z))) z)
(/.f64 (*.f64 (neg.f64 (*.f64 z (*.f64 z z))) #s(literal 2 binary64)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 z z)) #s(literal 2 binary64)) z)
(pow.f64 (*.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal -2 binary64))
(*.f64 (neg.f64 z) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 z))
(*.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) z)
(*.f64 (*.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) z) #s(literal -1/2 binary64)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 #s(literal -2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -2 binary64))) (exp.f64 (log.f64 z)))

simplify180.0ms (1.7%)

Memory
31.7MiB live, 344.4MiB allocated
Algorithm
1×egg-herbie
Rules
3 492×lower-/.f32
3 492×lower-/.f64
3 128×lower-*.f64
3 128×lower-*.f32
3 084×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951554
12581530
25721518
314801506
448301502
080871475
Stop Event
1×iter limit
1×node limit
Counts
324 → 309
Calls
Call 1
Inputs
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(* -1 (/ y z))
(* y (- (/ x y) (/ 1 z)))
(* y (- (/ x y) (/ 1 z)))
(* y (- (/ x y) (/ 1 z)))
(* -1 (/ y z))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(* -1 (/ y z))
(/ (+ (* -1 y) (* x z)) z)
(/ (+ (* -1 y) (* x z)) z)
(/ (+ (* -1 y) (* x z)) z)
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(* -1 (/ y z))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
x
(* x (+ 1 (* -1 (/ y (* x z)))))
(* x (+ 1 (* -1 (/ y (* x z)))))
(* x (+ 1 (* -1 (/ y (* x z)))))
x
(* -1 (* x (- (/ y (* x z)) 1)))
(* -1 (* x (- (/ y (* x z)) 1)))
(* -1 (* x (- (/ y (* x z)) 1)))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -1 (/ y z))
(- x (/ y z))
(- x (/ y z))
(- x (/ y z))
x
(* x (+ 1 (* -1 (/ y (* x z)))))
(* x (+ 1 (* -1 (/ y (* x z)))))
(* x (+ 1 (* -1 (/ y (* x z)))))
x
(* -1 (* x (- (/ y (* x z)) 1)))
(* -1 (* x (- (/ y (* x z)) 1)))
(* -1 (* x (- (/ y (* x z)) 1)))
(* -1 (/ y z))
(/ (- (* x z) y) z)
(/ (- (* x z) y) z)
(/ (- (* x z) y) z)
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(* -1 (/ y z))
(* y (- (/ x y) (/ 1 z)))
(* y (- (/ x y) (/ 1 z)))
(* y (- (/ x y) (/ 1 z)))
(* -1 (/ y z))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -1 (+ (log t) (log (/ -1/2 z))))
(* -1 (+ (log t) (log (/ -1/2 z))))
(* -1 (+ (log t) (log (/ -1/2 z))))
(* -1 (+ (log t) (log (/ -1/2 z))))
(* -1 (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t)))))
(* -1 (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t)))))
(* -1 (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t)))))
(* -1 (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t)))))
(* -1 (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t)))))
(* -1 (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t)))))
(* -1 (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t)))))
(* -1 (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t)))))
(* -1 (+ (log (* -1/2 t)) (* -1 (log z))))
(* -1 (+ (log (* -1/2 t)) (* -1 (log z))))
(* -1 (+ (log (* -1/2 t)) (* -1 (log z))))
(* -1 (+ (log (* -1/2 t)) (* -1 (log z))))
(* -1 (+ (log (* -1/2 t)) (log (/ 1 z))))
(* -1 (+ (log (* -1/2 t)) (log (/ 1 z))))
(* -1 (+ (log (* -1/2 t)) (log (/ 1 z))))
(* -1 (+ (log (* -1/2 t)) (log (/ 1 z))))
(* -1 (+ (log (* 1/2 t)) (log (/ -1 z))))
(* -1 (+ (log (* 1/2 t)) (log (/ -1 z))))
(* -1 (+ (log (* 1/2 t)) (log (/ -1 z))))
(* -1 (+ (log (* 1/2 t)) (log (/ -1 z))))
(* 2 (/ z t))
(- x (* -2 (/ z t)))
(- x (* -2 (/ z t)))
(- x (* -2 (/ z t)))
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* 2 (/ z t))
(/ (- (* t x) (* -2 z)) t)
(/ (- (* t x) (* -2 z)) t)
(/ (- (* t x) (* -2 z)) t)
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x 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)))))
(+ (log t) (log (/ -1/2 z)))
(+ (log t) (log (/ -1/2 z)))
(+ (log t) (log (/ -1/2 z)))
(+ (log t) (log (/ -1/2 z)))
(+ (log (/ -1/2 z)) (* -1 (log (/ 1 t))))
(+ (log (/ -1/2 z)) (* -1 (log (/ 1 t))))
(+ (log (/ -1/2 z)) (* -1 (log (/ 1 t))))
(+ (log (/ -1/2 z)) (* -1 (log (/ 1 t))))
(+ (log (/ 1/2 z)) (* -1 (log (/ -1 t))))
(+ (log (/ 1/2 z)) (* -1 (log (/ -1 t))))
(+ (log (/ 1/2 z)) (* -1 (log (/ -1 t))))
(+ (log (/ 1/2 z)) (* -1 (log (/ -1 t))))
(+ (log (* -1/2 t)) (* -1 (log z)))
(+ (log (* -1/2 t)) (* -1 (log z)))
(+ (log (* -1/2 t)) (* -1 (log z)))
(+ (log (* -1/2 t)) (* -1 (log z)))
(+ (log (* -1/2 t)) (log (/ 1 z)))
(+ (log (* -1/2 t)) (log (/ 1 z)))
(+ (log (* -1/2 t)) (log (/ 1 z)))
(+ (log (* -1/2 t)) (log (/ 1 z)))
(+ (log (* 1/2 t)) (log (/ -1 z)))
(+ (log (* 1/2 t)) (log (/ -1 z)))
(+ (log (* 1/2 t)) (log (/ -1 z)))
(+ (log (* 1/2 t)) (log (/ -1 z)))
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
Outputs
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* y (- (/ x y) (/ 1 z)))
(-.f64 x (/.f64 y z))
(* y (- (/ x y) (/ 1 z)))
(-.f64 x (/.f64 y z))
(* y (- (/ x y) (/ 1 z)))
(-.f64 x (/.f64 y z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(-.f64 x (/.f64 y z))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(-.f64 x (/.f64 y z))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(-.f64 x (/.f64 y z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(/ (+ (* -1 y) (* x z)) z)
(-.f64 x (/.f64 y z))
(/ (+ (* -1 y) (* x z)) z)
(-.f64 x (/.f64 y z))
(/ (+ (* -1 y) (* x z)) z)
(-.f64 x (/.f64 y z))
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
x
(* x (+ 1 (* -1 (/ y (* x z)))))
(-.f64 x (/.f64 y z))
(* x (+ 1 (* -1 (/ y (* x z)))))
(-.f64 x (/.f64 y z))
(* x (+ 1 (* -1 (/ y (* x z)))))
(-.f64 x (/.f64 y z))
x
(* -1 (* x (- (/ y (* x z)) 1)))
(-.f64 x (/.f64 y z))
(* -1 (* x (- (/ y (* x z)) 1)))
(-.f64 x (/.f64 y z))
(* -1 (* x (- (/ y (* x z)) 1)))
(-.f64 x (/.f64 y z))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* 2 (/ z t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(* 2 (/ z t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(* 2 (/ z t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(* 2 (/ z t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(* 2 (/ z t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(* 2 (/ z t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(* 2 (/ z t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(* 2 (/ z t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(* 2 (/ z t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(* 2 (/ z t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(* 2 (/ z t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(* 2 (/ z t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(* 2 (/ z t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(* 2 (/ z t))
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eval112.0ms (1.1%)

Memory
-8.0MiB live, 255.8MiB allocated
Compiler

Compiled 17 496 to 1 653 computations (90.6% saved)

prune352.0ms (3.4%)

Memory
-91.5MiB live, 164.8MiB allocated
Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New9667973
Fresh000
Picked235
Done033
Total96813981
Accuracy
99.9%
Counts
981 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓65.9%
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
✓58.3%
(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
7.8%
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7.9%
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✓12.8%
(/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))
✓13.2%
(/.f64 (*.f64 #s(literal 2 binary64) z) t)
✓12.1%
(/.f64 y (neg.f64 z))
▶12.1%
(/.f64 #s(literal -1 binary64) (/.f64 z y))
✓58.3%
(-.f64 x (/.f64 y z))
▶40.5%
(-.f64 x (exp.f64 (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t))))
▶33.7%
(*.f64 (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)) (*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))))
▶13.2%
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
▶12.1%
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
Compiler

Compiled 608 to 269 computations (55.8% saved)

simplify678.0ms (6.6%)

Memory
21.3MiB live, 886.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))
✓cost-diff0
(fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x))
✓cost-diff320
(*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x))))
✓cost-diff6656
(*.f64 (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)) (*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))))
✓cost-diff0
(/.f64 z y)
✓cost-diff576
(/.f64 #s(literal -1 binary64) (/.f64 z y))
✓cost-diff0
(/.f64 #s(literal 2 binary64) t)
✓cost-diff0
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
✓cost-diff0
(/.f64 #s(literal -1 binary64) z)
✓cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
✓cost-diff0
(/.f64 (*.f64 z #s(literal -2 binary64)) t)
✓cost-diff0
(log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t))
✓cost-diff128
(-.f64 x (exp.f64 (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t))))
✓cost-diff12800
(exp.f64 (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t)))
Rules
31 492×lower-fma.f32
31 486×lower-fma.f64
5 104×lower-*.f32
5 090×lower-*.f64
3 272×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028200
051164
190160
2211157
3630157
43007157
57247157
08082157
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 x (exp.f64 (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t))))
x
(exp.f64 (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t)))
(log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t))
(/.f64 (*.f64 z #s(literal -2 binary64)) t)
(*.f64 z #s(literal -2 binary64))
z
#s(literal -2 binary64)
t
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
y
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
(/.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
t
z
(/.f64 #s(literal -1 binary64) (/.f64 z y))
#s(literal -1 binary64)
(/.f64 z y)
z
y
(*.f64 (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)) (*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))))
(fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x))
z
(*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))
(/.f64 #s(literal -2 binary64) t)
#s(literal -2 binary64)
t
(fma.f64 z (/.f64 #s(literal -2 binary64) t) x)
x
(*.f64 x x)
(*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x))))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(/.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))
#s(literal 1 binary64)
Outputs
(-.f64 x (exp.f64 (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t))))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
x
(exp.f64 (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t)))
(/.f64 (*.f64 z #s(literal -2 binary64)) t)
(log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t))
(/.f64 (*.f64 z #s(literal -2 binary64)) t)
(*.f64 z #s(literal -2 binary64))
z
#s(literal -2 binary64)
t
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
(/.f64 y (neg.f64 z))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
y
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
(*.f64 z (/.f64 #s(literal 2 binary64) t))
(/.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
t
z
(/.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 y (neg.f64 z))
#s(literal -1 binary64)
(/.f64 z y)
z
y
(*.f64 (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)) (*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) t) (*.f64 x x))
z
(*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) t)
(/.f64 #s(literal -2 binary64) t)
#s(literal -2 binary64)
t
(fma.f64 z (/.f64 #s(literal -2 binary64) t) x)
x
(*.f64 x x)
(*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x))))
(/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) t) (*.f64 x x)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(/.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) t) (*.f64 x x)))
#s(literal 1 binary64)

localize107.0ms (1%)

Memory
15.2MiB live, 129.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))
✓accuracy98.3%
(fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x))
✓accuracy73.9%
(*.f64 (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)) (*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))))
✓accuracy73.6%
(*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x))))
✓accuracy100.0%
(/.f64 z y)
✓accuracy99.5%
(/.f64 #s(literal -1 binary64) (/.f64 z y))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) t)
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) z)
✓accuracy99.8%
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
✓accuracy100.0%
(*.f64 z #s(literal -2 binary64))
✓accuracy100.0%
(-.f64 x (exp.f64 (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t))))
✓accuracy97.1%
(exp.f64 (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t)))
✓accuracy86.0%
(log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t))
Samples
45.0ms130×0valid
26.0ms126×0invalid
Compiler

Compiled 217 to 33 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-div: 25.0ms (49.7% of total)
ival-mult: 15.0ms (29.8% of total)
ival-add: 3.0ms (6% of total)
ival-log: 3.0ms (6% of total)
ival-exp: 2.0ms (4% of total)
ival-sub: 1.0ms (2% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series153.0ms (1.5%)

Memory
-6.7MiB live, 233.0MiB allocated
Counts
16 → 420
Calls
Call 1
Inputs
#<alt (exp.f64 (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t)))>
#<alt (-.f64 x (exp.f64 (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t))))>
#<alt (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t))>
#<alt (/.f64 (*.f64 z #s(literal -2 binary64)) t)>
#<alt (*.f64 (/.f64 #s(literal -1 binary64) z) y)>
#<alt (/.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 (/.f64 #s(literal 2 binary64) t) z)>
#<alt (/.f64 #s(literal 2 binary64) t)>
#<alt (/.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt (*.f64 (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)) (*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))))>
#<alt (*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x))))>
#<alt (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x))>
#<alt (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))>
#<alt (*.f64 z #s(literal -2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))>
Outputs
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- x (* -2 (/ z t)))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (* 2 (/ z t))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* 2 (/ z t))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* 2 (/ z t))>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ (log z) (log (/ -2 t)))>
#<alt (+ (log z) (log (/ -2 t)))>
#<alt (+ (log z) (log (/ -2 t)))>
#<alt (+ (log z) (log (/ -2 t)))>
#<alt (+ (log (/ -2 t)) (* -1 (log (/ 1 z))))>
#<alt (+ (log (/ -2 t)) (* -1 (log (/ 1 z))))>
#<alt (+ (log (/ -2 t)) (* -1 (log (/ 1 z))))>
#<alt (+ (log (/ -2 t)) (* -1 (log (/ 1 z))))>
#<alt (+ (log (/ 2 t)) (* -1 (log (/ -1 z))))>
#<alt (+ (log (/ 2 t)) (* -1 (log (/ -1 z))))>
#<alt (+ (log (/ 2 t)) (* -1 (log (/ -1 z))))>
#<alt (+ (log (/ 2 t)) (* -1 (log (/ -1 z))))>
#<alt (+ (log (* -2 z)) (* -1 (log t)))>
#<alt (+ (log (* -2 z)) (* -1 (log t)))>
#<alt (+ (log (* -2 z)) (* -1 (log t)))>
#<alt (+ (log (* -2 z)) (* -1 (log t)))>
#<alt (+ (log (* -2 z)) (log (/ 1 t)))>
#<alt (+ (log (* -2 z)) (log (/ 1 t)))>
#<alt (+ (log (* -2 z)) (log (/ 1 t)))>
#<alt (+ (log (* -2 z)) (log (/ 1 t)))>
#<alt (+ (log (* 2 z)) (log (/ -1 t)))>
#<alt (+ (log (* 2 z)) (log (/ -1 t)))>
#<alt (+ (log (* 2 z)) (log (/ -1 t)))>
#<alt (+ (log (* 2 z)) (log (/ -1 t)))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (* 2 (/ z t))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* 2 (/ z t))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* 2 (/ z t))>
#<alt (/ (+ (* 2 z) (* t x)) t)>
#<alt (/ (+ (* 2 z) (* t x)) t)>
#<alt (/ (+ (* 2 z) (* t x)) t)>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (* 2 (/ z t))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (/ 1 x)>
#<alt (+ (* 4 (/ z (* t (pow x 2)))) (/ 1 x))>
#<alt (+ (* z (+ (* 4 (/ z (* (pow t 2) (pow x 3)))) (* 4 (/ 1 (* t (pow x 2)))))) (/ 1 x))>
#<alt (+ (* z (+ (* z (+ (* -8 (/ z (* (pow t 3) (pow x 4)))) (* 4 (/ 1 (* (pow t 2) (pow x 3)))))) (* 4 (/ 1 (* t (pow x 2)))))) (/ 1 x))>
#<alt (* 1/2 (/ t z))>
#<alt (/ (- (+ (* 1/4 (/ (* (pow t 2) x) z)) (* 1/2 t)) (* -1/4 (/ (* (pow t 2) x) z))) z)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/2 (* t (* x (- (* 1/4 (* (pow t 2) x)) (* -1/4 (* (pow t 2) x)))))) (* 1/8 (* (pow t 3) (pow x 2)))) (pow z 2))) (+ (* 1/4 (/ (* (pow t 2) x) z)) (* 1/2 t))) (* -1/4 (/ (* (pow t 2) x) z))) z)>
#<alt (/ (- (+ (* -1 (/ (+ (* 1/4 (* (pow t 2) (* (pow x 2) (- (* 1/4 (* (pow t 2) x)) (* -1/4 (* (pow t 2) x)))))) (* 1/2 (* t (* x (+ (* -1/2 (* t (* x (- (* 1/4 (* (pow t 2) x)) (* -1/4 (* (pow t 2) x)))))) (* 1/8 (* (pow t 3) (pow x 2)))))))) (pow z 3))) (+ (* 1/4 (/ (* (pow t 2) x) z)) (* 1/2 t))) (+ (* -1/2 (/ (* t (* x (- (* 1/4 (* (pow t 2) x)) (* -1/4 (* (pow t 2) x))))) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) x) z)) (* 1/8 (/ (* (pow t 3) (pow x 2)) (pow z 2)))))) z)>
#<alt (* 1/2 (/ t z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/4 (* (pow t 2) x)) (* -1/4 (* (pow t 2) x))) z)) (* -1/2 t)) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow t 3) (pow x 2)) z)) (+ (* 1/4 (* (pow t 2) x)) (* 1/2 (/ (* t (* x (- (* 1/4 (* (pow t 2) x)) (* -1/4 (* (pow t 2) x))))) z)))) (* -1/4 (* (pow t 2) x))) z)) (* -1/2 t)) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (* t (* x (+ (* -1/8 (* (pow t 3) (pow x 2))) (* 1/2 (* t (* x (- (* 1/4 (* (pow t 2) x)) (* -1/4 (* (pow t 2) x))))))))) z)) (* 1/4 (/ (* (pow t 2) (* (pow x 2) (- (* 1/4 (* (pow t 2) x)) (* -1/4 (* (pow t 2) x))))) z))) (+ (* -1/8 (* (pow t 3) (pow x 2))) (* 1/2 (* t (* x (- (* 1/4 (* (pow t 2) x)) (* -1/4 (* (pow t 2) x)))))))) z)) (* 1/4 (* (pow t 2) x))) (* -1/4 (* (pow t 2) x))) z)) (* -1/2 t)) z))>
#<alt (* 1/2 (/ t z))>
#<alt (* t (+ (* t (- (* 1/4 (/ x (pow z 2))) (* -1/4 (/ x (pow z 2))))) (* 1/2 (/ 1 z))))>
#<alt (* t (+ (* t (- (+ (* -1 (* t (+ (* -1/2 (/ (* x (- (* 1/4 (/ x (pow z 2))) (* -1/4 (/ x (pow z 2))))) z)) (* 1/8 (/ (pow x 2) (pow z 3)))))) (* 1/4 (/ x (pow z 2)))) (* -1/4 (/ x (pow z 2))))) (* 1/2 (/ 1 z))))>
#<alt (* t (+ (* t (- (+ (* 1/4 (/ x (pow z 2))) (* t (- (* -1 (* t (+ (* 1/4 (/ (* (pow x 2) (- (* 1/4 (/ x (pow z 2))) (* -1/4 (/ x (pow z 2))))) (pow z 2))) (* 1/2 (/ (* x (+ (* -1/2 (/ (* x (- (* 1/4 (/ x (pow z 2))) (* -1/4 (/ x (pow z 2))))) z)) (* 1/8 (/ (pow x 2) (pow z 3))))) z))))) (+ (* -1/2 (/ (* x (- (* 1/4 (/ x (pow z 2))) (* -1/4 (/ x (pow z 2))))) z)) (* 1/8 (/ (pow x 2) (pow z 3))))))) (* -1/4 (/ x (pow z 2))))) (* 1/2 (/ 1 z))))>
#<alt (/ 1 x)>
#<alt (- (+ (* 2 (/ z (* t (pow x 2)))) (/ 1 x)) (* -2 (/ z (* t (pow x 2)))))>
#<alt (- (+ (* -1 (/ (+ (* -2 (/ (* z (- (* 2 (/ z (pow x 2))) (* -2 (/ z (pow x 2))))) x)) (* 4 (/ (pow z 2) (pow x 3)))) (pow t 2))) (+ (* 2 (/ z (* t (pow x 2)))) (/ 1 x))) (* -2 (/ z (* t (pow x 2)))))>
#<alt (- (+ (* -1 (/ (+ (* 2 (/ (* z (+ (* -2 (/ (* z (- (* 2 (/ z (pow x 2))) (* -2 (/ z (pow x 2))))) x)) (* 4 (/ (pow z 2) (pow x 3))))) x)) (* 4 (/ (* (pow z 2) (- (* 2 (/ z (pow x 2))) (* -2 (/ z (pow x 2))))) (pow x 2)))) (pow t 3))) (+ (* 2 (/ z (* t (pow x 2)))) (/ 1 x))) (+ (* -2 (/ z (* t (pow x 2)))) (+ (* -2 (/ (* z (- (* 2 (/ z (pow x 2))) (* -2 (/ z (pow x 2))))) (* (pow t 2) x))) (* 4 (/ (pow z 2) (* (pow t 2) (pow x 3)))))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ (- (* -2 (/ z (pow x 2))) (* 2 (/ z (pow x 2)))) t)) (/ 1 x))>
#<alt (+ (* -1 (/ (- (+ (* -2 (/ z (pow x 2))) (+ (* 2 (/ (* z (- (* -2 (/ z (pow x 2))) (* 2 (/ z (pow x 2))))) (* t x))) (* 4 (/ (pow z 2) (* t (pow x 3)))))) (* 2 (/ z (pow x 2)))) t)) (/ 1 x))>
#<alt (+ (* -1 (/ (- (+ (* -2 (/ z (pow x 2))) (* -1 (/ (- (+ (* -2 (/ (* z (+ (* 2 (/ (* z (- (* -2 (/ z (pow x 2))) (* 2 (/ z (pow x 2))))) x)) (* 4 (/ (pow z 2) (pow x 3))))) (* t x))) (* 4 (/ (* (pow z 2) (- (* -2 (/ z (pow x 2))) (* 2 (/ z (pow x 2))))) (* t (pow x 2))))) (+ (* 2 (/ (* z (- (* -2 (/ z (pow x 2))) (* 2 (/ z (pow x 2))))) x)) (* 4 (/ (pow z 2) (pow x 3))))) t))) (* 2 (/ z (pow x 2)))) t)) (/ 1 x))>
#<alt (* 1/2 (/ t z))>
#<alt (+ (* 1/2 (/ t z)) (* x (- (* 1/4 (/ (pow t 2) (pow z 2))) (* -1/4 (/ (pow t 2) (pow z 2))))))>
#<alt (+ (* 1/2 (/ t z)) (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* t (- (* 1/4 (/ (pow t 2) (pow z 2))) (* -1/4 (/ (pow t 2) (pow z 2))))) z)) (* 1/8 (/ (pow t 3) (pow z 3)))))) (* 1/4 (/ (pow t 2) (pow z 2)))) (* -1/4 (/ (pow t 2) (pow z 2))))))>
#<alt (+ (* 1/2 (/ t z)) (* x (- (+ (* 1/4 (/ (pow t 2) (pow z 2))) (* x (- (* -1 (* x (+ (* 1/4 (/ (* (pow t 2) (- (* 1/4 (/ (pow t 2) (pow z 2))) (* -1/4 (/ (pow t 2) (pow z 2))))) (pow z 2))) (* 1/2 (/ (* t (+ (* -1/2 (/ (* t (- (* 1/4 (/ (pow t 2) (pow z 2))) (* -1/4 (/ (pow t 2) (pow z 2))))) z)) (* 1/8 (/ (pow t 3) (pow z 3))))) z))))) (+ (* -1/2 (/ (* t (- (* 1/4 (/ (pow t 2) (pow z 2))) (* -1/4 (/ (pow t 2) (pow z 2))))) z)) (* 1/8 (/ (pow t 3) (pow z 3))))))) (* -1/4 (/ (pow t 2) (pow z 2))))))>
#<alt (/ 1 x)>
#<alt (/ (- (+ 1 (* 2 (/ z (* t x)))) (* -2 (/ z (* t x)))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -2 (/ (* z (- (* 2 (/ z t)) (* -2 (/ z t)))) t)) (* 4 (/ (pow z 2) (pow t 2)))) (pow x 2))) (* 2 (/ z (* t x))))) (* -2 (/ z (* t x)))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* 2 (/ (* z (+ (* -2 (/ (* z (- (* 2 (/ z t)) (* -2 (/ z t)))) t)) (* 4 (/ (pow z 2) (pow t 2))))) t)) (* 4 (/ (* (pow z 2) (- (* 2 (/ z t)) (* -2 (/ z t)))) (pow t 2)))) (pow x 3))) (* 2 (/ z (* t x))))) (+ (* -2 (/ z (* t x))) (+ (* -2 (/ (* z (- (* 2 (/ z t)) (* -2 (/ z t)))) (* t (pow x 2)))) (* 4 (/ (pow z 2) (* (pow t 2) (pow x 2))))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ z t)) (* -2 (/ z t))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow z 2) (* (pow t 2) x))) (+ (* 2 (/ z t)) (* 2 (/ (* z (- (* 2 (/ z t)) (* -2 (/ z t)))) (* t x))))) (* -2 (/ z t))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* z (+ (* -4 (/ (pow z 2) (pow t 2))) (* 2 (/ (* z (- (* 2 (/ z t)) (* -2 (/ z t)))) t)))) (* t x))) (* 4 (/ (* (pow z 2) (- (* 2 (/ z t)) (* -2 (/ z t)))) (* (pow t 2) x)))) (+ (* -4 (/ (pow z 2) (pow t 2))) (* 2 (/ (* z (- (* 2 (/ z t)) (* -2 (/ z t)))) t)))) x)) (* 2 (/ z t))) (* -2 (/ z t))) x)) 1) x))>
#<alt (pow x 2)>
#<alt (+ (* -2 (/ (* x z) t)) (pow x 2))>
#<alt (+ (* z (+ (* -2 (/ x t)) (* 4 (/ z (pow t 2))))) (pow x 2))>
#<alt (+ (* z (+ (* -2 (/ x t)) (* 4 (/ z (pow t 2))))) (pow x 2))>
#<alt (* 4 (/ (pow z 2) (pow t 2)))>
#<alt (* (pow z 2) (+ (* -2 (/ x (* t z))) (* 4 (/ 1 (pow t 2)))))>
#<alt (* (pow z 2) (+ (* -2 (/ x (* t z))) (+ (* 4 (/ 1 (pow t 2))) (/ (pow x 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (* -2 (/ x (* t z))) (+ (* 4 (/ 1 (pow t 2))) (/ (pow x 2) (pow z 2)))))>
#<alt (* 4 (/ (pow z 2) (pow t 2)))>
#<alt (* (pow z 2) (+ (* -2 (/ x (* t z))) (* 4 (/ 1 (pow t 2)))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* 2 (/ x t))) z)) (* 4 (/ 1 (pow t 2)))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* 2 (/ x t))) z)) (* 4 (/ 1 (pow t 2)))))>
#<alt (* 4 (/ (pow z 2) (pow t 2)))>
#<alt (/ (+ (* -2 (* t (* x z))) (* 4 (pow z 2))) (pow t 2))>
#<alt (/ (+ (* 4 (pow z 2)) (* t (+ (* -2 (* x z)) (* t (pow x 2))))) (pow t 2))>
#<alt (/ (+ (* 4 (pow z 2)) (* t (+ (* -2 (* x z)) (* t (pow x 2))))) (pow t 2))>
#<alt (pow x 2)>
#<alt (+ (* -2 (/ (* x z) t)) (pow x 2))>
#<alt (+ (* -2 (/ (* x z) t)) (+ (* 4 (/ (pow z 2) (pow t 2))) (pow x 2)))>
#<alt (+ (* -2 (/ (* x z) t)) (+ (* 4 (/ (pow z 2) (pow t 2))) (pow x 2)))>
#<alt (pow x 2)>
#<alt (+ (* -2 (/ (* x z) t)) (pow x 2))>
#<alt (+ (* -1 (/ (+ (* -4 (/ (pow z 2) t)) (* 2 (* x z))) t)) (pow x 2))>
#<alt (+ (* -1 (/ (+ (* -4 (/ (pow z 2) t)) (* 2 (* x z))) t)) (pow x 2))>
#<alt (* 4 (/ (pow z 2) (pow t 2)))>
#<alt (+ (* -2 (/ (* x z) t)) (* 4 (/ (pow z 2) (pow t 2))))>
#<alt (+ (* 4 (/ (pow z 2) (pow t 2))) (* x (+ x (* -2 (/ z t)))))>
#<alt (+ (* 4 (/ (pow z 2) (pow t 2))) (* x (+ x (* -2 (/ z t)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -2 (/ z (* t x)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -2 (/ z (* t x))) (* 4 (/ (pow z 2) (* (pow t 2) (pow x 2)))))))>
#<alt (* (pow x 2) (+ 1 (+ (* -2 (/ z (* t x))) (* 4 (/ (pow z 2) (* (pow t 2) (pow x 2)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -2 (/ z (* t x)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -4 (/ (pow z 2) (* (pow t 2) x))) (* 2 (/ z t))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -4 (/ (pow z 2) (* (pow t 2) x))) (* 2 (/ z t))) x))))>
#<alt (* 4 (/ z (pow t 2)))>
#<alt (/ (+ (* -2 (* t x)) (* 4 z)) (pow t 2))>
#<alt (/ (+ (* -2 (* t x)) (* 4 z)) (pow t 2))>
#<alt (/ (+ (* -2 (* t x)) (* 4 z)) (pow t 2))>
#<alt (* -2 (/ x t))>
#<alt (/ (+ (* -2 x) (* 4 (/ z t))) t)>
#<alt (/ (+ (* -2 x) (* 4 (/ z t))) t)>
#<alt (/ (+ (* -2 x) (* 4 (/ z t))) t)>
#<alt (* -2 (/ x t))>
#<alt (* -1 (/ (+ (* -4 (/ z t)) (* 2 x)) t))>
#<alt (* -1 (/ (+ (* -4 (/ z t)) (* 2 x)) t))>
#<alt (* -1 (/ (+ (* -4 (/ z t)) (* 2 x)) t))>
#<alt (* -2 (/ x t))>
#<alt (+ (* -2 (/ x t)) (* 4 (/ z (pow t 2))))>
#<alt (+ (* -2 (/ x t)) (* 4 (/ z (pow t 2))))>
#<alt (+ (* -2 (/ x t)) (* 4 (/ z (pow t 2))))>
#<alt (* 4 (/ z (pow t 2)))>
#<alt (* z (+ (* -2 (/ x (* t z))) (* 4 (/ 1 (pow t 2)))))>
#<alt (* z (+ (* -2 (/ x (* t z))) (* 4 (/ 1 (pow t 2)))))>
#<alt (* z (+ (* -2 (/ x (* t z))) (* 4 (/ 1 (pow t 2)))))>
#<alt (* 4 (/ z (pow t 2)))>
#<alt (* -1 (* z (- (* 2 (/ x (* t z))) (* 4 (/ 1 (pow t 2))))))>
#<alt (* -1 (* z (- (* 2 (/ x (* t z))) (* 4 (/ 1 (pow t 2))))))>
#<alt (* -1 (* z (- (* 2 (/ x (* t z))) (* 4 (/ 1 (pow t 2))))))>
#<alt (* 4 (/ z (pow t 2)))>
#<alt (+ (* -2 (/ x t)) (* 4 (/ z (pow t 2))))>
#<alt (+ (* -2 (/ x t)) (* 4 (/ z (pow t 2))))>
#<alt (+ (* -2 (/ x t)) (* 4 (/ z (pow t 2))))>
#<alt (* -2 (/ x t))>
#<alt (* x (- (* 4 (/ z (* (pow t 2) x))) (* 2 (/ 1 t))))>
#<alt (* x (- (* 4 (/ z (* (pow t 2) x))) (* 2 (/ 1 t))))>
#<alt (* x (- (* 4 (/ z (* (pow t 2) x))) (* 2 (/ 1 t))))>
#<alt (* -2 (/ x t))>
#<alt (* -1 (* x (+ (* -4 (/ z (* (pow t 2) x))) (* 2 (/ 1 t)))))>
#<alt (* -1 (* x (+ (* -4 (/ z (* (pow t 2) x))) (* 2 (/ 1 t)))))>
#<alt (* -1 (* x (+ (* -4 (/ z (* (pow t 2) x))) (* 2 (/ 1 t)))))>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (/ 1 (pow x 2))>
#<alt (+ (* 2 (/ z (* t (pow x 3)))) (/ 1 (pow x 2)))>
#<alt (+ (* z (+ (* -8 (/ (pow z 2) (* (pow t 3) (pow x 5)))) (* 2 (/ 1 (* t (pow x 3)))))) (/ 1 (pow x 2)))>
#<alt (+ (* z (+ (* (pow z 2) (- (* -16 (/ z (* (pow t 4) (pow x 6)))) (* 8 (/ 1 (* (pow t 3) (pow x 5)))))) (* 2 (/ 1 (* t (pow x 3)))))) (/ 1 (pow x 2)))>
#<alt (* 1/4 (/ (pow t 2) (pow z 2)))>
#<alt (/ (+ (* 1/8 (/ (* (pow t 3) x) z)) (* 1/4 (pow t 2))) (pow z 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/16 (* (pow t 4) (pow x 2))) (* 1/16 (* (pow t 4) (pow x 2)))) (pow z 2))) (* 1/4 (pow t 2))) (* -1/8 (/ (* (pow t 3) x) z))) (pow z 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* 1/32 (* (pow t 5) (pow x 3))) (* 1/2 (* t (* x (+ (* -1/16 (* (pow t 4) (pow x 2))) (* 1/16 (* (pow t 4) (pow x 2)))))))) (pow z 3))) (* 1/4 (pow t 2))) (+ (* -1/8 (/ (* (pow t 3) x) z)) (+ (* -1/16 (/ (* (pow t 4) (pow x 2)) (pow z 2))) (* 1/16 (/ (* (pow t 4) (pow x 2)) (pow z 2)))))) (pow z 2))>
#<alt (* 1/4 (/ (pow t 2) (pow z 2)))>
#<alt (/ (+ (* 1/8 (/ (* (pow t 3) x) z)) (* 1/4 (pow t 2))) (pow z 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -1/16 (/ (* (pow t 4) (pow x 2)) z)) (* 1/16 (/ (* (pow t 4) (pow x 2)) z))) (* 1/8 (* (pow t 3) x))) z)) (* 1/4 (pow t 2))) (pow z 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* t (* x (+ (* -1/16 (* (pow t 4) (pow x 2))) (* 1/16 (* (pow t 4) (pow x 2)))))) z)) (* -1/32 (/ (* (pow t 5) (pow x 3)) z))) (+ (* -1/16 (* (pow t 4) (pow x 2))) (* 1/16 (* (pow t 4) (pow x 2))))) z)) (* 1/8 (* (pow t 3) x))) z)) (* 1/4 (pow t 2))) (pow z 2))>
#<alt (* 1/4 (/ (pow t 2) (pow z 2)))>
#<alt (* (pow t 2) (+ (* 1/8 (/ (* t x) (pow z 3))) (* 1/4 (/ 1 (pow z 2)))))>
#<alt (* (pow t 2) (+ (* t (- (* -1 (* t (+ (* -1/16 (/ (pow x 2) (pow z 4))) (* 1/16 (/ (pow x 2) (pow z 4)))))) (* -1/8 (/ x (pow z 3))))) (* 1/4 (/ 1 (pow z 2)))))>
#<alt (* (pow t 2) (+ (* t (- (* t (- (* -1 (* t (+ (* 1/32 (/ (pow x 3) (pow z 5))) (* 1/2 (/ (* x (+ (* -1/16 (/ (pow x 2) (pow z 4))) (* 1/16 (/ (pow x 2) (pow z 4))))) z))))) (+ (* -1/16 (/ (pow x 2) (pow z 4))) (* 1/16 (/ (pow x 2) (pow z 4)))))) (* -1/8 (/ x (pow z 3))))) (* 1/4 (/ 1 (pow z 2)))))>
#<alt (/ 1 (pow x 2))>
#<alt (+ (* 2 (/ z (* t (pow x 3)))) (/ 1 (pow x 2)))>
#<alt (- (+ (* -1 (/ (+ (* -4 (/ (pow z 2) (pow x 4))) (* 4 (/ (pow z 2) (pow x 4)))) (pow t 2))) (/ 1 (pow x 2))) (* -2 (/ z (* t (pow x 3)))))>
#<alt (- (+ (* -1 (/ (+ (* 2 (/ (* z (+ (* -4 (/ (pow z 2) (pow x 4))) (* 4 (/ (pow z 2) (pow x 4))))) x)) (* 8 (/ (pow z 3) (pow x 5)))) (pow t 3))) (/ 1 (pow x 2))) (+ (* -4 (/ (pow z 2) (* (pow t 2) (pow x 4)))) (+ (* -2 (/ z (* t (pow x 3)))) (* 4 (/ (pow z 2) (* (pow t 2) (pow x 4)))))))>
#<alt (/ 1 (pow x 2))>
#<alt (+ (* 2 (/ z (* t (pow x 3)))) (/ 1 (pow x 2)))>
#<alt (+ (* -1 (/ (- (+ (* -4 (/ (pow z 2) (* t (pow x 4)))) (* 4 (/ (pow z 2) (* t (pow x 4))))) (* 2 (/ z (pow x 3)))) t)) (/ 1 (pow x 2)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ (pow z 3) (* t (pow x 5)))) (* -2 (/ (* z (+ (* -4 (/ (pow z 2) (pow x 4))) (* 4 (/ (pow z 2) (pow x 4))))) (* t x)))) (+ (* -4 (/ (pow z 2) (pow x 4))) (* 4 (/ (pow z 2) (pow x 4))))) t)) (* 2 (/ z (pow x 3)))) t)) (/ 1 (pow x 2)))>
#<alt (* 1/4 (/ (pow t 2) (pow z 2)))>
#<alt (+ (* 1/8 (/ (* (pow t 3) x) (pow z 3))) (* 1/4 (/ (pow t 2) (pow z 2))))>
#<alt (+ (* 1/4 (/ (pow t 2) (pow z 2))) (* x (- (* -1 (* x (+ (* -1/16 (/ (pow t 4) (pow z 4))) (* 1/16 (/ (pow t 4) (pow z 4)))))) (* -1/8 (/ (pow t 3) (pow z 3))))))>
#<alt (+ (* 1/4 (/ (pow t 2) (pow z 2))) (* x (- (* x (- (* -1 (* x (+ (* 1/32 (/ (pow t 5) (pow z 5))) (* 1/2 (/ (* t (+ (* -1/16 (/ (pow t 4) (pow z 4))) (* 1/16 (/ (pow t 4) (pow z 4))))) z))))) (+ (* -1/16 (/ (pow t 4) (pow z 4))) (* 1/16 (/ (pow t 4) (pow z 4)))))) (* -1/8 (/ (pow t 3) (pow z 3))))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 2 (/ z (* t x)))) (pow x 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -4 (/ (pow z 2) (pow t 2))) (* 4 (/ (pow z 2) (pow t 2)))) (pow x 2)))) (* -2 (/ z (* t x)))) (pow x 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* 2 (/ (* z (+ (* -4 (/ (pow z 2) (pow t 2))) (* 4 (/ (pow z 2) (pow t 2))))) t)) (* 8 (/ (pow z 3) (pow t 3)))) (pow x 3)))) (+ (* -4 (/ (pow z 2) (* (pow t 2) (pow x 2)))) (+ (* -2 (/ z (* t x))) (* 4 (/ (pow z 2) (* (pow t 2) (pow x 2))))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 2 (/ z (* t x)))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow z 2) (* (pow t 2) x))) (* 4 (/ (pow z 2) (* (pow t 2) x)))) (* 2 (/ z t))) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ (pow z 3) (* (pow t 3) x))) (* -2 (/ (* z (+ (* -4 (/ (pow z 2) (pow t 2))) (* 4 (/ (pow z 2) (pow t 2))))) (* t x)))) (+ (* -4 (/ (pow z 2) (pow t 2))) (* 4 (/ (pow z 2) (pow t 2))))) x)) (* 2 (/ z t))) x))) (pow x 2))>
Calls

105 calls:

TimeVariablePointExpression
64.0ms
t
@-inf
(log (/ (* z -2) t))
16.0ms
z
@0
(log (/ (* z -2) t))
16.0ms
z
@-inf
(log (/ (* z -2) t))
14.0ms
t
@0
(log (/ (* z -2) t))
9.0ms
t
@inf
(log (/ (* z -2) t))

rewrite387.0ms (3.7%)

Memory
-14.1MiB live, 552.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 090×lower-/.f32
5 076×lower-/.f64
4 250×lower-fma.f32
4 246×lower-*.f32
4 244×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028160
051121
1187117
21427117
08509117
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 213
Calls
Call 1
Inputs
(exp.f64 (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t)))
(-.f64 x (exp.f64 (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t))))
(log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t))
(/.f64 (*.f64 z #s(literal -2 binary64)) t)
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
(/.f64 #s(literal -1 binary64) z)
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
(/.f64 #s(literal 2 binary64) t)
(/.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 z y)
(*.f64 (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)) (*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))))
(*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x))))
(fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))
(*.f64 z #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))
Outputs
(exp.f64 (log.f64 (/.f64 z (*.f64 t #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 z (*.f64 t #s(literal 1/2 binary64))))
(neg.f64 (/.f64 z (*.f64 t #s(literal 1/2 binary64))))
(/.f64 z (*.f64 t #s(literal -1/2 binary64)))
(/.f64 (*.f64 z #s(literal -2 binary64)) t)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t #s(literal -1/2 binary64)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 t #s(literal -1/2 binary64)) z))))
(/.f64 (neg.f64 z) (neg.f64 (*.f64 t #s(literal -1/2 binary64))))
(/.f64 (*.f64 z #s(literal 2 binary64)) (neg.f64 t))
(/.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) t)
(/.f64 (neg.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 t #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 t #s(literal -1/2 binary64)))
(/.f64 (exp.f64 (log.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (log.f64 (neg.f64 t))))
(/.f64 (neg.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 t))
(/.f64 (neg.f64 (neg.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 (neg.f64 (neg.f64 t))))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (*.f64 t #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 t #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) z))
(*.f64 #s(literal -2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) t)))
(*.f64 #s(literal -2 binary64) (/.f64 z t))
(*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (*.f64 z #s(literal -2 binary64)) (exp.f64 (neg.f64 (log.f64 t))))
(*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 z) t))
(*.f64 (/.f64 #s(literal -2 binary64) t) z)
(*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t #s(literal -1/2 binary64))))
(*.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 t)))
(*.f64 (*.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) t))
(*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 z #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) t))
(*.f64 (/.f64 z t) #s(literal -2 binary64))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (neg.f64 (log.f64 (*.f64 t #s(literal -1/2 binary64))))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 t #s(literal -1/2 binary64))))) (exp.f64 (log.f64 z)))
(+.f64 x (/.f64 z (*.f64 t #s(literal 1/2 binary64))))
(+.f64 (/.f64 z (*.f64 t #s(literal 1/2 binary64))) x)
(+.f64 (*.f64 (/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x))) (/.f64 (*.f64 z (*.f64 #s(literal -2 binary64) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))) t)))
(+.f64 (*.f64 (/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x))) (/.f64 (*.f64 z (*.f64 #s(literal -2 binary64) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))) t)) (*.f64 (/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 z (*.f64 #s(literal -2 binary64) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))) t) (/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (*.f64 z (*.f64 #s(literal -2 binary64) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))) t) (/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x)))))
(-.f64 x (/.f64 z (*.f64 t #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 z #s(literal -2 binary64))) (*.f64 t t)) (-.f64 (/.f64 z (*.f64 t #s(literal 1/2 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 z (*.f64 t #s(literal 1/2 binary64))) x)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64)) (*.f64 t (*.f64 t t))) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (/.f64 (/.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 z #s(literal -2 binary64))) (*.f64 t t)) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 z (*.f64 t #s(literal 1/2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 z #s(literal -2 binary64))) (*.f64 t t)) (-.f64 x (/.f64 z (*.f64 t #s(literal 1/2 binary64))))))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(fma.f64 (*.f64 z #s(literal -2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) t)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 t #s(literal -1/2 binary64))) x)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) z) x)
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(fma.f64 (/.f64 #s(literal -2 binary64) t) (neg.f64 z) x)
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 (/.f64 (*.f64 z (*.f64 #s(literal -2 binary64) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))) t) (/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x)))))
(fma.f64 (/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x) (*.f64 (/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x))) (/.f64 (*.f64 z (*.f64 #s(literal -2 binary64) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))) t)))
(fma.f64 (/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x))) (/.f64 (*.f64 z (*.f64 #s(literal -2 binary64) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))) t) (*.f64 (/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x)))
(fma.f64 (/.f64 (*.f64 z (*.f64 #s(literal -2 binary64) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))) t) (/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x)))))
(fma.f64 (neg.f64 z) (/.f64 #s(literal -2 binary64) t) x)
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) t) x)
(fma.f64 (*.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) t) x)
(fma.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (/.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 t t)) (*.f64 x (-.f64 x (/.f64 z (*.f64 t #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 8 binary64) (*.f64 t (*.f64 t t))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 z (*.f64 t #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 z #s(literal -2 binary64))) (*.f64 t t)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x)) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 8 binary64) (*.f64 t (*.f64 t t))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 t t)) (*.f64 x (-.f64 x (/.f64 z (*.f64 t #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 8 binary64) (*.f64 t (*.f64 t t))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 z (*.f64 t #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 z #s(literal -2 binary64))) (*.f64 t t)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x)) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 8 binary64) (*.f64 t (*.f64 t t))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x))))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 8 binary64) (*.f64 t (*.f64 t t))) (*.f64 x (*.f64 x x))) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 8 binary64) (*.f64 t (*.f64 t t))) (*.f64 x (*.f64 x x))) (fma.f64 z (/.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 t t)) (*.f64 x (-.f64 x (/.f64 z (*.f64 t #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 8 binary64) (*.f64 t (*.f64 t t))) (*.f64 x (*.f64 x x))) (fma.f64 x x (/.f64 (-.f64 (*.f64 (/.f64 z (*.f64 t #s(literal 1/2 binary64))) (*.f64 z #s(literal 2 binary64))) (*.f64 (*.f64 z #s(literal 2 binary64)) x)) t)))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 z #s(literal -2 binary64))) (*.f64 t t)) (*.f64 x x)) (-.f64 (/.f64 z (*.f64 t #s(literal 1/2 binary64))) x))
(/.f64 (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))
(/.f64 (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) (-.f64 x (/.f64 z (*.f64 t #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 z #s(literal -2 binary64))) (*.f64 t t)) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 z (*.f64 t #s(literal 1/2 binary64))) x))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64)) (*.f64 t (*.f64 t t))) (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) (fma.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64)) (*.f64 t (*.f64 t t))) (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 z #s(literal -2 binary64))) (*.f64 t t)) (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) (*.f64 (fma.f64 (/.f64 z (*.f64 t #s(literal -1/2 binary64))) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 (neg.f64 x) x)) (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (fma.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64)) (*.f64 t (*.f64 t t))) (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (/.f64 (*.f64 z (*.f64 #s(literal -2 binary64) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))) t)) (*.f64 (/.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 z #s(literal -2 binary64))) (*.f64 t t)) (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64)) (*.f64 t (*.f64 t t))) (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (/.f64 (*.f64 z (*.f64 #s(literal -2 binary64) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))) t)) (*.f64 (/.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 z #s(literal -2 binary64))) (*.f64 t t)) (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 z #s(literal -2 binary64))) (*.f64 t t)) (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (/.f64 z (*.f64 t #s(literal -1/2 binary64))) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 z #s(literal -2 binary64))) (*.f64 t t)) (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (*.f64 t #s(literal -1/2 binary64))) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)))

simplify349.0ms (3.4%)

Memory
32.3MiB live, 534.4MiB allocated
Algorithm
1×egg-herbie
Rules
9 060×lower-fma.f64
9 060×lower-fma.f32
6 486×lower-*.f64
6 486×lower-*.f32
2 622×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07214861
123024496
082384279
Stop Event
1×iter limit
1×node limit
Counts
420 → 410
Calls
Call 1
Inputs
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(* -1 (* z (- (* 2 (/ x (* t z))) (* 4 (/ 1 (pow t 2))))))
(* -1 (* z (- (* 2 (/ x (* t z))) (* 4 (/ 1 (pow t 2))))))
(* 4 (/ z (pow t 2)))
(+ (* -2 (/ x t)) (* 4 (/ z (pow t 2))))
(+ (* -2 (/ x t)) (* 4 (/ z (pow t 2))))
(+ (* -2 (/ x t)) (* 4 (/ z (pow t 2))))
(* -2 (/ x t))
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(* x (- (* 4 (/ z (* (pow t 2) x))) (* 2 (/ 1 t))))
(* -2 (/ x t))
(* -1 (* x (+ (* -4 (/ z (* (pow t 2) x))) (* 2 (/ 1 t)))))
(* -1 (* x (+ (* -4 (/ z (* (pow t 2) x))) (* 2 (/ 1 t)))))
(* -1 (* x (+ (* -4 (/ z (* (pow t 2) x))) (* 2 (/ 1 t)))))
(* -2 z)
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(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(/ 1 (pow x 2))
(+ (* 2 (/ z (* t (pow x 3)))) (/ 1 (pow x 2)))
(+ (* z (+ (* -8 (/ (pow z 2) (* (pow t 3) (pow x 5)))) (* 2 (/ 1 (* t (pow x 3)))))) (/ 1 (pow x 2)))
(+ (* z (+ (* (pow z 2) (- (* -16 (/ z (* (pow t 4) (pow x 6)))) (* 8 (/ 1 (* (pow t 3) (pow x 5)))))) (* 2 (/ 1 (* t (pow x 3)))))) (/ 1 (pow x 2)))
(* 1/4 (/ (pow t 2) (pow z 2)))
(/ (+ (* 1/8 (/ (* (pow t 3) x) z)) (* 1/4 (pow t 2))) (pow z 2))
(/ (- (+ (* -1 (/ (+ (* -1/16 (* (pow t 4) (pow x 2))) (* 1/16 (* (pow t 4) (pow x 2)))) (pow z 2))) (* 1/4 (pow t 2))) (* -1/8 (/ (* (pow t 3) x) z))) (pow z 2))
(/ (- (+ (* -1 (/ (+ (* 1/32 (* (pow t 5) (pow x 3))) (* 1/2 (* t (* x (+ (* -1/16 (* (pow t 4) (pow x 2))) (* 1/16 (* (pow t 4) (pow x 2)))))))) (pow z 3))) (* 1/4 (pow t 2))) (+ (* -1/8 (/ (* (pow t 3) x) z)) (+ (* -1/16 (/ (* (pow t 4) (pow x 2)) (pow z 2))) (* 1/16 (/ (* (pow t 4) (pow x 2)) (pow z 2)))))) (pow z 2))
(* 1/4 (/ (pow t 2) (pow z 2)))
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(/ (+ (* -1 (/ (- (+ (* -1/16 (/ (* (pow t 4) (pow x 2)) z)) (* 1/16 (/ (* (pow t 4) (pow x 2)) z))) (* 1/8 (* (pow t 3) x))) z)) (* 1/4 (pow t 2))) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* t (* x (+ (* -1/16 (* (pow t 4) (pow x 2))) (* 1/16 (* (pow t 4) (pow x 2)))))) z)) (* -1/32 (/ (* (pow t 5) (pow x 3)) z))) (+ (* -1/16 (* (pow t 4) (pow x 2))) (* 1/16 (* (pow t 4) (pow x 2))))) z)) (* 1/8 (* (pow t 3) x))) z)) (* 1/4 (pow t 2))) (pow z 2))
(* 1/4 (/ (pow t 2) (pow z 2)))
(* (pow t 2) (+ (* 1/8 (/ (* t x) (pow z 3))) (* 1/4 (/ 1 (pow z 2)))))
(* (pow t 2) (+ (* t (- (* -1 (* t (+ (* -1/16 (/ (pow x 2) (pow z 4))) (* 1/16 (/ (pow x 2) (pow z 4)))))) (* -1/8 (/ x (pow z 3))))) (* 1/4 (/ 1 (pow z 2)))))
(* (pow t 2) (+ (* t (- (* t (- (* -1 (* t (+ (* 1/32 (/ (pow x 3) (pow z 5))) (* 1/2 (/ (* x (+ (* -1/16 (/ (pow x 2) (pow z 4))) (* 1/16 (/ (pow x 2) (pow z 4))))) z))))) (+ (* -1/16 (/ (pow x 2) (pow z 4))) (* 1/16 (/ (pow x 2) (pow z 4)))))) (* -1/8 (/ x (pow z 3))))) (* 1/4 (/ 1 (pow z 2)))))
(/ 1 (pow x 2))
(+ (* 2 (/ z (* t (pow x 3)))) (/ 1 (pow x 2)))
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(- (+ (* -1 (/ (+ (* 2 (/ (* z (+ (* -4 (/ (pow z 2) (pow x 4))) (* 4 (/ (pow z 2) (pow x 4))))) x)) (* 8 (/ (pow z 3) (pow x 5)))) (pow t 3))) (/ 1 (pow x 2))) (+ (* -4 (/ (pow z 2) (* (pow t 2) (pow x 4)))) (+ (* -2 (/ z (* t (pow x 3)))) (* 4 (/ (pow z 2) (* (pow t 2) (pow x 4)))))))
(/ 1 (pow x 2))
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(/ 1 (pow x 2))
(/ (+ 1 (* 2 (/ z (* t x)))) (pow x 2))
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(/ 1 (pow x 2))
(/ (+ 1 (* 2 (/ z (* t x)))) (pow x 2))
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Outputs
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(fma.f64 z (*.f64 (*.f64 z z) (fma.f64 #s(literal -16 binary64) (/.f64 z (*.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 t t) (*.f64 t (pow.f64 x #s(literal 5 binary64))))))) (/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) (*.f64 t x)) #s(literal 1 binary64)) (*.f64 x x)))
(* 1/4 (/ (pow t 2) (pow z 2)))
(/.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) (*.f64 z z))
(/ (+ (* 1/8 (/ (* (pow t 3) x) z)) (* 1/4 (pow t 2))) (pow z 2))
(/.f64 (fma.f64 t (*.f64 t #s(literal 1/4 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/8 binary64))) z)) (*.f64 z z))
(/ (- (+ (* -1 (/ (+ (* -1/16 (* (pow t 4) (pow x 2))) (* 1/16 (* (pow t 4) (pow x 2)))) (pow z 2))) (* 1/4 (pow t 2))) (* -1/8 (/ (* (pow t 3) x) z))) (pow z 2))
(/.f64 (fma.f64 t (*.f64 t #s(literal 1/4 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/8 binary64))) z)) (*.f64 z z))
(/ (- (+ (* -1 (/ (+ (* 1/32 (* (pow t 5) (pow x 3))) (* 1/2 (* t (* x (+ (* -1/16 (* (pow t 4) (pow x 2))) (* 1/16 (* (pow t 4) (pow x 2)))))))) (pow z 3))) (* 1/4 (pow t 2))) (+ (* -1/8 (/ (* (pow t 3) x) z)) (+ (* -1/16 (/ (* (pow t 4) (pow x 2)) (pow z 2))) (* 1/16 (/ (* (pow t 4) (pow x 2)) (pow z 2)))))) (pow z 2))
(/.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (/.f64 x z) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/32 binary64) (pow.f64 t #s(literal 5 binary64))) (*.f64 t (*.f64 x #s(literal 0 binary64)))) (*.f64 z (*.f64 z z))))) (*.f64 z z))
(* 1/4 (/ (pow t 2) (pow z 2)))
(/.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) (*.f64 z z))
(/ (+ (* 1/8 (/ (* (pow t 3) x) z)) (* 1/4 (pow t 2))) (pow z 2))
(/.f64 (fma.f64 t (*.f64 t #s(literal 1/4 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/8 binary64))) z)) (*.f64 z z))
(/ (+ (* -1 (/ (- (+ (* -1/16 (/ (* (pow t 4) (pow x 2)) z)) (* 1/16 (/ (* (pow t 4) (pow x 2)) z))) (* 1/8 (* (pow t 3) x))) z)) (* 1/4 (pow t 2))) (pow z 2))
(/.f64 (fma.f64 t (*.f64 t #s(literal 1/4 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/8 binary64))) z)) (*.f64 z z))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* t (* x (+ (* -1/16 (* (pow t 4) (pow x 2))) (* 1/16 (* (pow t 4) (pow x 2)))))) z)) (* -1/32 (/ (* (pow t 5) (pow x 3)) z))) (+ (* -1/16 (* (pow t 4) (pow x 2))) (* 1/16 (* (pow t 4) (pow x 2))))) z)) (* 1/8 (* (pow t 3) x))) z)) (* 1/4 (pow t 2))) (pow z 2))
(/.f64 (fma.f64 t (*.f64 t #s(literal 1/4 binary64)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 t (*.f64 t t))) (/.f64 (fma.f64 t (*.f64 (*.f64 x #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 t #s(literal 5 binary64))) (*.f64 x (/.f64 (*.f64 x x) z)) #s(literal 0 binary64))) (neg.f64 z))) (neg.f64 z))) (*.f64 z z))
(* 1/4 (/ (pow t 2) (pow z 2)))
(/.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) (*.f64 z z))
(* (pow t 2) (+ (* 1/8 (/ (* t x) (pow z 3))) (* 1/4 (/ 1 (pow z 2)))))
(*.f64 (*.f64 t t) (fma.f64 t (/.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1/4 binary64) (*.f64 z z))))
(* (pow t 2) (+ (* t (- (* -1 (* t (+ (* -1/16 (/ (pow x 2) (pow z 4))) (* 1/16 (/ (pow x 2) (pow z 4)))))) (* -1/8 (/ x (pow z 3))))) (* 1/4 (/ 1 (pow z 2)))))
(*.f64 (*.f64 (fma.f64 t (fma.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 z (*.f64 z z))) (*.f64 t #s(literal 0 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 z z))) t) t)
(* (pow t 2) (+ (* t (- (* t (- (* -1 (* t (+ (* 1/32 (/ (pow x 3) (pow z 5))) (* 1/2 (/ (* x (+ (* -1/16 (/ (pow x 2) (pow z 4))) (* 1/16 (/ (pow x 2) (pow z 4))))) z))))) (+ (* -1/16 (/ (pow x 2) (pow z 4))) (* 1/16 (/ (pow x 2) (pow z 4)))))) (* -1/8 (/ x (pow z 3))))) (* 1/4 (/ 1 (pow z 2)))))
(*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t (fma.f64 (fma.f64 x #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/32 binary64)) (pow.f64 z #s(literal 5 binary64)))) (neg.f64 t) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1/4 binary64) (*.f64 z z))))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+ (* 2 (/ z (* t (pow x 3)))) (/ 1 (pow x 2)))
(/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) (*.f64 t x)) #s(literal 1 binary64)) (*.f64 x x))
(- (+ (* -1 (/ (+ (* -4 (/ (pow z 2) (pow x 4))) (* 4 (/ (pow z 2) (pow x 4)))) (pow t 2))) (/ 1 (pow x 2))) (* -2 (/ z (* t (pow x 3)))))
(/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) (*.f64 t x)) #s(literal 1 binary64)) (*.f64 x x))
(- (+ (* -1 (/ (+ (* 2 (/ (* z (+ (* -4 (/ (pow z 2) (pow x 4))) (* 4 (/ (pow z 2) (pow x 4))))) x)) (* 8 (/ (pow z 3) (pow x 5)))) (pow t 3))) (/ 1 (pow x 2))) (+ (* -4 (/ (pow z 2) (* (pow t 2) (pow x 4)))) (+ (* -2 (/ z (* t (pow x 3)))) (* 4 (/ (pow z 2) (* (pow t 2) (pow x 4)))))))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 z #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 8 binary64)) (pow.f64 x #s(literal 5 binary64)))) (*.f64 t (*.f64 t t)))) (fma.f64 #s(literal -2 binary64) (/.f64 z (*.f64 t (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 z z) (*.f64 t (*.f64 t (pow.f64 x #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) (*.f64 t (*.f64 t (pow.f64 x #s(literal 4 binary64))))))))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+ (* 2 (/ z (* t (pow x 3)))) (/ 1 (pow x 2)))
(/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) (*.f64 t x)) #s(literal 1 binary64)) (*.f64 x x))
(+ (* -1 (/ (- (+ (* -4 (/ (pow z 2) (* t (pow x 4)))) (* 4 (/ (pow z 2) (* t (pow x 4))))) (* 2 (/ z (pow x 3)))) t)) (/ 1 (pow x 2)))
(/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) (*.f64 t x)) #s(literal 1 binary64)) (*.f64 x x))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ (pow z 3) (* t (pow x 5)))) (* -2 (/ (* z (+ (* -4 (/ (pow z 2) (pow x 4))) (* 4 (/ (pow z 2) (pow x 4))))) (* t x)))) (+ (* -4 (/ (pow z 2) (pow x 4))) (* 4 (/ (pow z 2) (pow x 4))))) t)) (* 2 (/ z (pow x 3)))) t)) (/ 1 (pow x 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 t (pow.f64 x #s(literal 5 binary64)))) (fma.f64 z #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 t))) t))
(* 1/4 (/ (pow t 2) (pow z 2)))
(/.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) (*.f64 z z))
(+ (* 1/8 (/ (* (pow t 3) x) (pow z 3))) (* 1/4 (/ (pow t 2) (pow z 2))))
(*.f64 (*.f64 t t) (fma.f64 t (/.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1/4 binary64) (*.f64 z z))))
(+ (* 1/4 (/ (pow t 2) (pow z 2))) (* x (- (* -1 (* x (+ (* -1/16 (/ (pow t 4) (pow z 4))) (* 1/16 (/ (pow t 4) (pow z 4)))))) (* -1/8 (/ (pow t 3) (pow z 3))))))
(fma.f64 t (*.f64 t (/.f64 #s(literal 1/4 binary64) (*.f64 z z))) (*.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 z (*.f64 z z))) (*.f64 x #s(literal 0 binary64)))))
(+ (* 1/4 (/ (pow t 2) (pow z 2))) (* x (- (* x (- (* -1 (* x (+ (* 1/32 (/ (pow t 5) (pow z 5))) (* 1/2 (/ (* t (+ (* -1/16 (/ (pow t 4) (pow z 4))) (* 1/16 (/ (pow t 4) (pow z 4))))) z))))) (+ (* -1/16 (/ (pow t 4) (pow z 4))) (* 1/16 (/ (pow t 4) (pow z 4)))))) (* -1/8 (/ (pow t 3) (pow z 3))))))
(fma.f64 t (*.f64 t (/.f64 #s(literal 1/4 binary64) (*.f64 z z))) (*.f64 x (fma.f64 x (fma.f64 (fma.f64 t #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64)))) (neg.f64 x) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/8 binary64)) (*.f64 z (*.f64 z z))))))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 2 (/ z (* t x)))) (pow x 2))
(/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) (*.f64 t x)) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (/ (pow z 2) (pow t 2))) (* 4 (/ (pow z 2) (pow t 2)))) (pow x 2)))) (* -2 (/ z (* t x)))) (pow x 2))
(/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) (*.f64 t x)) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (+ 1 (* -1 (/ (+ (* 2 (/ (* z (+ (* -4 (/ (pow z 2) (pow t 2))) (* 4 (/ (pow z 2) (pow t 2))))) t)) (* 8 (/ (pow z 3) (pow t 3)))) (pow x 3)))) (+ (* -4 (/ (pow z 2) (* (pow t 2) (pow x 2)))) (+ (* -2 (/ z (* t x))) (* 4 (/ (pow z 2) (* (pow t 2) (pow x 2))))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))) (*.f64 z #s(literal 0 binary64))) (*.f64 x (*.f64 x x)))) (fma.f64 z (/.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 t (*.f64 t (*.f64 x x)))) (fma.f64 (/.f64 (*.f64 z z) (*.f64 t (*.f64 t (*.f64 x x)))) #s(literal -4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 t x))))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 2 (/ z (* t x)))) (pow x 2))
(/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) (*.f64 t x)) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow z 2) (* (pow t 2) x))) (* 4 (/ (pow z 2) (* (pow t 2) x)))) (* 2 (/ z t))) x))) (pow x 2))
(/.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) (*.f64 t x)) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ (pow z 3) (* (pow t 3) x))) (* -2 (/ (* z (+ (* -4 (/ (pow z 2) (pow t 2))) (* 4 (/ (pow z 2) (pow t 2))))) (* t x)))) (+ (* -4 (/ (pow z 2) (pow t 2))) (* 4 (/ (pow z 2) (pow t 2))))) x)) (* 2 (/ z t))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 z t) (neg.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 t (*.f64 t t)))) (fma.f64 z #s(literal 0 binary64) #s(literal 0 binary64))) x))) x)) (*.f64 x x))

eval400.0ms (3.9%)

Memory
17.6MiB live, 586.6MiB allocated
Compiler

Compiled 101 908 to 6 351 computations (93.8% saved)

prune428.0ms (4.1%)

Memory
1.3MiB live, 564.8MiB allocated
Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New2 29842 302
Fresh202
Picked235
Done066
Total2 302132 315
Accuracy
99.9%
Counts
2 315 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓65.9%
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
✓58.3%
(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
✓12.8%
(/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))
✓13.2%
(/.f64 (*.f64 #s(literal 2 binary64) z) t)
✓12.1%
(/.f64 y (neg.f64 z))
✓12.1%
(/.f64 #s(literal -1 binary64) (/.f64 z y))
✓58.3%
(-.f64 x (/.f64 y z))
33.3%
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) t) (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) z) (*.f64 x x)) (*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))))
29.1%
(*.f64 (fma.f64 z (*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 z (*.f64 t (*.f64 t x))) (/.f64 #s(literal -2 binary64) t))) (*.f64 x x)) (*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))))
✓13.2%
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
✓12.1%
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
30.8%
(*.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))))
62.6%
(*.f64 x (fma.f64 z (/.f64 #s(literal 2 binary64) (*.f64 t x)) #s(literal 1 binary64)))
Compiler

Compiled 730 to 247 computations (66.2% saved)

regimes47.0ms (0.5%)

Memory
6.2MiB live, 86.2MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
(/.f64 y (neg.f64 z))
(-.f64 x (/.f64 y z))
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
(/.f64 (*.f64 #s(literal 2 binary64) z) t)
(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))
(/.f64 #s(literal -1 binary64) (/.f64 z y))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (fma.f64 z (/.f64 #s(literal 2 binary64) (*.f64 t x)) #s(literal 1 binary64)))
(/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))
(fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
(*.f64 (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)) (*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) t) (*.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) z) (*.f64 x x)) (*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))))
(*.f64 (fma.f64 z (*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 z (*.f64 t (*.f64 t x))) (/.f64 #s(literal -2 binary64) t))) (*.f64 x x)) (*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))))
(-.f64 x (exp.f64 (log.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t))))
(-.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))))
(*.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 z (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) t) x) (*.f64 t #s(literal -1/2 binary64))) (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 (/.f64 t (*.f64 z #s(literal -2 binary64))) #s(literal -9 binary64))) (*.f64 (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 z t) (/.f64 z t)))) (fma.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 z t) (/.f64 z t))) (*.f64 x (*.f64 x x)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 (/.f64 t (*.f64 z #s(literal -2 binary64))) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (/.f64 #s(literal -2 binary64) t) (fma.f64 z (/.f64 #s(literal -2 binary64) t) x)) (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 z t) (/.f64 z t)))) (fma.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) t) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 z t) (/.f64 z t))) (*.f64 x (*.f64 x x))))))
Outputs
(fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x)
(-.f64 x (/.f64 y z))
Calls

6 calls:

9.0ms
y
9.0ms
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
7.0ms
t
7.0ms
x
7.0ms
z
Results
AccuracySegmentsBranch
90.4%1x
90.4%1y
93.3%2z
90.4%1t
94.3%2(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
94.3%2(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes29.0ms (0.3%)

Memory
-17.7MiB live, 58.6MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
(/.f64 y (neg.f64 z))
(-.f64 x (/.f64 y z))
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
(/.f64 (*.f64 #s(literal 2 binary64) z) t)
(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))
(/.f64 #s(literal -1 binary64) (/.f64 z y))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (fma.f64 z (/.f64 #s(literal 2 binary64) (*.f64 t x)) #s(literal 1 binary64)))
(/.f64 (*.f64 y (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 y t)))
Outputs
(-.f64 x (/.f64 y z))
(-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))
(-.f64 x (/.f64 y z))
Calls

6 calls:

5.0ms
x
5.0ms
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
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
4.0ms
y
Results
AccuracySegmentsBranch
71.1%3x
79.2%3t
77.8%3y
91.7%3z
68.4%2(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
73.4%4(-.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 60 to 41 computations (31.7% saved)

regimes4.0ms (0%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(/.f64 y (neg.f64 z))
(-.f64 x (/.f64 y z))
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
(/.f64 (*.f64 #s(literal 2 binary64) z) t)
(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
Outputs
(-.f64 x (/.f64 y z))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(-.f64 x (/.f64 y z))
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
91.6%3z
Compiler

Compiled 5 to 4 computations (20% saved)

regimes17.0ms (0.2%)

Memory
0.7MiB live, 39.8MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 y (neg.f64 z))
(-.f64 x (/.f64 y z))
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
(/.f64 (*.f64 #s(literal 2 binary64) z) t)
(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
Outputs
(-.f64 x (/.f64 y z))
Calls

6 calls:

3.0ms
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
3.0ms
y
3.0ms
z
3.0ms
x
3.0ms
t
Results
AccuracySegmentsBranch
58.3%1(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
58.3%1x
58.3%1(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
58.3%1y
58.3%1t
58.3%1z
Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes8.0ms (0.1%)

Memory
21.9MiB live, 21.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 y (neg.f64 z))
Outputs
(/.f64 y (neg.f64 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
y
1.0ms
t
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
12.1%1t
12.1%1x
12.1%1y
12.1%1z
12.1%1(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
12.1%1(-.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 60 to 41 computations (31.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.317160892136461e+300
1.0061796085518908e+304
Compiler

Compiled 24 to 20 computations (16.7% saved)

bsearch33.0ms (0.3%)

Memory
-34.0MiB live, 54.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.1293477378405617e-50
2.6610031081444154e-46
16.0ms
-1.6522461046533573e+28
-3.049921325380037e+27
Samples
22.0ms224×0valid
Compiler

Compiled 332 to 244 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sub: 8.0ms (47.8% of total)
ival-mult: 7.0ms (41.9% of total)
ival-div: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.1293477378405617e-50
2.6610031081444154e-46
0.0ms
-1.6522461046533573e+28
-3.049921325380037e+27
Compiler

Compiled 318 to 230 computations (27.7% saved)

simplify30.0ms (0.3%)

Memory
-1.6MiB live, 35.9MiB allocated
Algorithm
1×egg-herbie
Rules
254×unsub-neg_binary64
196×distribute-lft-neg-in_binary64
184×neg-mul-1_binary64
88×distribute-rgt-neg-in_binary64
84×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03998
16098
28998
312298
417298
522398
627498
741998
863298
974098
1076198
1177298
1278098
1378498
1478598
Stop Event
1×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 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (-.f64 x (/.f64 y z)))
(if (<=.f64 z #s(literal -3700000000000000021676163072 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 835607783014675/3213876088517980551083924184682325205044405987565585670602752 binary64)) (-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t)) (-.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -3700000000000000021676163072 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 835607783014675/3213876088517980551083924184682325205044405987565585670602752 binary64)) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (-.f64 x (/.f64 y z))))
(-.f64 x (/.f64 y z))
(/.f64 y (neg.f64 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 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (-.f64 x (/.f64 y z)))
(if (<=.f64 (+.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 y t) (*.f64 z (*.f64 #s(literal 2 binary64) z))))) #s(literal 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 y t))) x) (-.f64 x (/.f64 y z)))
(if (<=.f64 z #s(literal -3700000000000000021676163072 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 835607783014675/3213876088517980551083924184682325205044405987565585670602752 binary64)) (-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t)) (-.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -3700000000000000021676163072 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 835607783014675/3213876088517980551083924184682325205044405987565585670602752 binary64)) (-.f64 x (/.f64 (*.f64 z #s(literal -2 binary64)) t)) (-.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -3700000000000000021676163072 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 835607783014675/3213876088517980551083924184682325205044405987565585670602752 binary64)) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (-.f64 x (/.f64 y z))))
(-.f64 x (/.f64 y z))
(/.f64 y (neg.f64 z))

soundness559.0ms (5.4%)

Memory
35.2MiB live, 462.6MiB allocated
Rules
10 952×lower-fma.f64
10 952×lower-fma.f32
10 836×lower-fma.f64
10 836×lower-fma.f32
8 416×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03472176
110302127
231432097
086001977
04714386
113794351
242864325
083564060
01349
02149
17149
254149
3746549
0883146
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 180 to 93 computations (48.3% saved)

preprocess92.0ms (0.9%)

Memory
-12.0MiB live, 176.2MiB allocated
Compiler

Compiled 280 to 126 computations (55% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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