Numeric.SpecFunctions:logBeta from math-functions-0.1.5.2, B

Time bar (total: 12.7s)

analyze22.0ms (0.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.6%0.4%0%0%0%0
0%0%99.6%0.4%0%0%0%1
0%0%99.6%0.4%0%0%0%2
0%0%49.8%0.4%0%49.8%0%3
0%0%49.8%0.4%0%49.8%0%4
0%0%49.8%0.4%0%49.8%0%5
0%0%49.8%0.4%0%49.8%0%6
0%0%49.8%0.4%0%49.8%0%7
100%24.9%0%0.4%0%74.7%0%8
Compiler

Compiled 30 to 21 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (37.9% of total)
ival-log: 3.0ms (28.4% of total)
ival-add: 3.0ms (28.4% of total)
ival-sub: 1.0ms (9.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.2s (17%)

Results
1.7s8254×0valid
2.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-add: 496.0ms (43% of total)
ival-log: 263.0ms (22.8% of total)
ival-mult: 230.0ms (19.9% of total)
ival-sub: 149.0ms (12.9% of total)
const: 14.0ms (1.2% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess278.0ms (2.2%)

Algorithm
egg-herbie
Rules
9500×sum3-define
2336×+-lowering-+.f64
2336×+-lowering-+.f32
1972×fnmsub-define
1692×sum5-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0245836
1879783
24277773
37702773
02018
14417
214617
393417
4346517
5402817
6413417
7413417
8413417
9413417
10413417
0818817
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c))) (* y i))
Outputs
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c))) (* y i))
(+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 t (+.f64 a (*.f64 y i))))))
Call 2
Inputs
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (+ (+ (* (neg x) (log y)) z) t) a) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (+ (+ (* x (log (neg y))) z) t) a) (* (- b 1/2) (log c))) (* (neg y) i))
(+ (+ (+ (+ (+ (* x (log y)) (neg z)) t) a) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) (neg t)) a) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) t) (neg a)) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- (neg b) 1/2) (log c))) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log (neg c)))) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c))) (* y (neg i)))
(neg (+ (+ (+ (+ (+ (* (neg x) (log y)) z) t) a) (* (- b 1/2) (log c))) (* y i)))
(neg (+ (+ (+ (+ (+ (* x (log (neg y))) z) t) a) (* (- b 1/2) (log c))) (* (neg y) i)))
(neg (+ (+ (+ (+ (+ (* x (log y)) (neg z)) t) a) (* (- b 1/2) (log c))) (* y i)))
(neg (+ (+ (+ (+ (+ (* x (log y)) z) (neg t)) a) (* (- b 1/2) (log c))) (* y i)))
(neg (+ (+ (+ (+ (+ (* x (log y)) z) t) (neg a)) (* (- b 1/2) (log c))) (* y i)))
(neg (+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- (neg b) 1/2) (log c))) (* y i)))
(neg (+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log (neg c)))) (* y i)))
(neg (+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c))) (* y (neg i))))
(+ (+ (+ (+ (+ (* y (log x)) z) t) a) (* (- b 1/2) (log c))) (* x i))
(+ (+ (+ (+ (+ (* z (log y)) x) t) a) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (+ (+ (* t (log y)) z) x) a) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (+ (+ (* a (log y)) z) t) x) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (+ (+ (* b (log y)) z) t) a) (* (- x 1/2) (log c))) (* y i))
(+ (+ (+ (+ (+ (* c (log y)) z) t) a) (* (- b 1/2) (log x))) (* y i))
(+ (+ (+ (+ (+ (* i (log y)) z) t) a) (* (- b 1/2) (log c))) (* y x))
(+ (+ (+ (+ (+ (* x (log z)) y) t) a) (* (- b 1/2) (log c))) (* z i))
(+ (+ (+ (+ (+ (* x (log t)) z) y) a) (* (- b 1/2) (log c))) (* t i))
(+ (+ (+ (+ (+ (* x (log a)) z) t) y) (* (- b 1/2) (log c))) (* a i))
(+ (+ (+ (+ (+ (* x (log b)) z) t) a) (* (- y 1/2) (log c))) (* b i))
(+ (+ (+ (+ (+ (* x (log c)) z) t) a) (* (- b 1/2) (log y))) (* c i))
(+ (+ (+ (+ (+ (* x (log i)) z) t) a) (* (- b 1/2) (log c))) (* i y))
(+ (+ (+ (+ (+ (* x (log y)) t) z) a) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) a) t) z) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) b) t) a) (* (- z 1/2) (log c))) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) c) t) a) (* (- b 1/2) (log z))) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) i) t) a) (* (- b 1/2) (log c))) (* y z))
(+ (+ (+ (+ (+ (* x (log y)) z) a) t) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) b) a) (* (- t 1/2) (log c))) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) c) a) (* (- b 1/2) (log t))) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) i) a) (* (- b 1/2) (log c))) (* y t))
(+ (+ (+ (+ (+ (* x (log y)) z) t) b) (* (- a 1/2) (log c))) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) t) c) (* (- b 1/2) (log a))) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) t) i) (* (- b 1/2) (log c))) (* y a))
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- c 1/2) (log b))) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- i 1/2) (log c))) (* y b))
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log i))) (* y c))
Outputs
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c))) (* y i))
(sum5 z (fma x (log y) t) a (* (+ b -1/2) (log c)) (* y i))
(+ (+ (+ (+ (+ (* (neg x) (log y)) z) t) a) (* (- b 1/2) (log c))) (* y i))
(sum5 t (fnmadd x (log y) z) a (* (+ b -1/2) (log c)) (* y i))
(+ (+ (+ (+ (+ (* x (log (neg y))) z) t) a) (* (- b 1/2) (log c))) (* (neg y) i))
(sum5 z (* x (log (neg y))) t a (fmsub (+ b -1/2) (log c) (* y i)))
(+ (+ (+ (+ (+ (* x (log y)) (neg z)) t) a) (* (- b 1/2) (log c))) (* y i))
(sum5 t (fmsub x (log y) z) a (* (+ b -1/2) (log c)) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) (neg t)) a) (* (- b 1/2) (log c))) (* y i))
(sum5 (* x (log y)) z (neg t) a (fma (+ b -1/2) (log c) (* y i)))
(+ (+ (+ (+ (+ (* x (log y)) z) t) (neg a)) (* (- b 1/2) (log c))) (* y i))
(sum5 (* x (log y)) z t (neg a) (fma (+ b -1/2) (log c) (* y i)))
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- (neg b) 1/2) (log c))) (* y i))
(sum5 (fma x (log y) z) t a (* (log c) (- -1/2 b)) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log (neg c)))) (* y i))
(sum5 (fma x (log y) z) t a (* (+ b -1/2) (log (neg c))) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c))) (* y (neg i)))
(sum5 (* x (log y)) z t a (fmsub (+ b -1/2) (log c) (* y i)))
(neg (+ (+ (+ (+ (+ (* (neg x) (log y)) z) t) a) (* (- b 1/2) (log c))) (* y i)))
(fnmsub y i (sum4 t (fnmadd x (log y) z) a (* (+ b -1/2) (log c))))
(neg (+ (+ (+ (+ (+ (* x (log (neg y))) z) t) a) (* (- b 1/2) (log c))) (* (neg y) i)))
(fmsub y i (sum4 t (fma x (log (neg y)) z) a (* (+ b -1/2) (log c))))
(neg (+ (+ (+ (+ (+ (* x (log y)) (neg z)) t) a) (* (- b 1/2) (log c))) (* y i)))
(fnmsub y i (sum4 t (fmsub x (log y) z) a (* (+ b -1/2) (log c))))
(neg (+ (+ (+ (+ (+ (* x (log y)) z) (neg t)) a) (* (- b 1/2) (log c))) (* y i)))
(fnmsub y i (sum5 (* x (log y)) z (neg t) a (* (+ b -1/2) (log c))))
(neg (+ (+ (+ (+ (+ (* x (log y)) z) t) (neg a)) (* (- b 1/2) (log c))) (* y i)))
(fnmsub y i (sum5 (* x (log y)) z t (neg a) (* (+ b -1/2) (log c))))
(neg (+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- (neg b) 1/2) (log c))) (* y i)))
(fnmsub y i (sum5 (* x (log y)) z t a (* (log c) (- -1/2 b))))
(neg (+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log (neg c)))) (* y i)))
(fnmsub y i (sum5 (* x (log y)) z t a (* (+ b -1/2) (log (neg c)))))
(neg (+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c))) (* y (neg i))))
(fmsub y i (sum5 (* x (log y)) z t a (* (+ b -1/2) (log c))))
(+ (+ (+ (+ (+ (* y (log x)) z) t) a) (* (- b 1/2) (log c))) (* x i))
(sum5 t (fma y (log x) z) a (* (+ b -1/2) (log c)) (* x i))
(+ (+ (+ (+ (+ (* z (log y)) x) t) a) (* (- b 1/2) (log c))) (* y i))
(sum5 t (fma (log y) z x) a (* (+ b -1/2) (log c)) (* y i))
(+ (+ (+ (+ (+ (* t (log y)) z) x) a) (* (- b 1/2) (log c))) (* y i))
(sum5 x (fma (log y) t z) a (* (+ b -1/2) (log c)) (* y i))
(+ (+ (+ (+ (+ (* a (log y)) z) t) x) (* (- b 1/2) (log c))) (* y i))
(sum5 z (* (log y) a) t x (fma (+ b -1/2) (log c) (* y i)))
(+ (+ (+ (+ (+ (* b (log y)) z) t) a) (* (- x 1/2) (log c))) (* y i))
(sum5 t (fma (log y) b z) a (* (log c) (+ x -1/2)) (* y i))
(+ (+ (+ (+ (+ (* c (log y)) z) t) a) (* (- b 1/2) (log x))) (* y i))
(sum5 z (* (log y) c) t a (fma (+ b -1/2) (log x) (* y i)))
(+ (+ (+ (+ (+ (* i (log y)) z) t) a) (* (- b 1/2) (log c))) (* y x))
(sum5 z (* (log y) i) t a (fma (+ b -1/2) (log c) (* x y)))
(+ (+ (+ (+ (+ (* x (log z)) y) t) a) (* (- b 1/2) (log c))) (* z i))
(sum5 y (* x (log z)) t a (fma (+ b -1/2) (log c) (* z i)))
(+ (+ (+ (+ (+ (* x (log t)) z) y) a) (* (- b 1/2) (log c))) (* t i))
(sum5 y (fma x (log t) z) a (* (+ b -1/2) (log c)) (* t i))
(+ (+ (+ (+ (+ (* x (log a)) z) t) y) (* (- b 1/2) (log c))) (* a i))
(sum5 z (* x (log a)) t y (fma (+ b -1/2) (log c) (* a i)))
(+ (+ (+ (+ (+ (* x (log b)) z) t) a) (* (- y 1/2) (log c))) (* b i))
(sum5 z (* x (log b)) t a (fma (log c) (+ y -1/2) (* b i)))
(+ (+ (+ (+ (+ (* x (log c)) z) t) a) (* (- b 1/2) (log y))) (* c i))
(sum5 z (* x (log c)) t a (fma (log y) (+ b -1/2) (* c i)))
(+ (+ (+ (+ (+ (* x (log i)) z) t) a) (* (- b 1/2) (log c))) (* i y))
(sum5 t (fma x (log i) z) a (* (+ b -1/2) (log c)) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) t) z) a) (* (- b 1/2) (log c))) (* y i))
(sum5 z (fma x (log y) t) a (* (+ b -1/2) (log c)) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) a) t) z) (* (- b 1/2) (log c))) (* y i))
(sum5 z (fma x (log y) t) a (* (+ b -1/2) (log c)) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) b) t) a) (* (- z 1/2) (log c))) (* y i))
(sum5 (* x (log y)) b t a (fma (log c) (+ z -1/2) (* y i)))
(+ (+ (+ (+ (+ (* x (log y)) c) t) a) (* (- b 1/2) (log z))) (* y i))
(sum5 t (fma x (log y) c) a (* (+ b -1/2) (log z)) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) i) t) a) (* (- b 1/2) (log c))) (* y z))
(sum5 t (fma x (log y) i) a (* (+ b -1/2) (log c)) (* y z))
(+ (+ (+ (+ (+ (* x (log y)) z) a) t) (* (- b 1/2) (log c))) (* y i))
(sum5 z (fma x (log y) t) a (* (+ b -1/2) (log c)) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) b) a) (* (- t 1/2) (log c))) (* y i))
(sum5 (fma x (log y) z) b a (* (log c) (+ t -1/2)) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) c) a) (* (- b 1/2) (log t))) (* y i))
(sum5 (fma x (log y) z) c a (* (+ b -1/2) (log t)) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) i) a) (* (- b 1/2) (log c))) (* y t))
(sum5 (fma x (log y) z) i a (* (+ b -1/2) (log c)) (* y t))
(+ (+ (+ (+ (+ (* x (log y)) z) t) b) (* (- a 1/2) (log c))) (* y i))
(sum5 (fma x (log y) z) t b (* (log c) (+ a -1/2)) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) t) c) (* (- b 1/2) (log a))) (* y i))
(sum5 (fma x (log y) z) t c (* (+ b -1/2) (log a)) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) t) i) (* (- b 1/2) (log c))) (* y a))
(sum5 (fma x (log y) z) t i (* (+ b -1/2) (log c)) (* y a))
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- c 1/2) (log b))) (* y i))
(sum5 (fma x (log y) z) t a (* (log b) (+ c -1/2)) (* y i))
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- i 1/2) (log c))) (* y b))
(sum5 (fma x (log y) z) t a (* (log c) (+ i -1/2)) (* y b))
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log i))) (* y c))
(sum5 (fma x (log y) z) t a (* (+ b -1/2) (log i)) (* y c))
Symmetry

(sort z t a)

explain204.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-b
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c)))
00-0-(-.f64 b #s(literal 1/2 binary64))
00-0-(*.f64 y i)
00-0-z
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
00-0-(*.f64 x (log.f64 y))
00-0-(log.f64 c)
00-0-#s(literal 1/2 binary64)
00-0-(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
00-0-y
00-0-i
00-0-(*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))
00-0-(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)
00-0-c
00-0-t
00-0-a
00-0-(+.f64 (*.f64 x (log.f64 y)) z)
00-0-(log.f64 y)
Results
127.0ms512×0valid
Compiler

Compiled 229 to 62 computations (72.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-log: 14.0ms (32.8% of total)
ival-add: 14.0ms (32.8% of total)
ival-mult: 11.0ms (25.7% of total)
ival-sub: 3.0ms (7% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 29 to 20 computations (31% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
Compiler

Compiled 29 to 20 computations (31% saved)

simplify186.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
cost-diff0
(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)
cost-diff0
(+.f64 (+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c)))
cost-diff0
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
Rules
9500×sum3-define
2336×+-lowering-+.f64
2336×+-lowering-+.f32
1692×sum5-define
1112×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02082
14480
214680
393480
4346580
5402880
6413480
7413480
8413480
9413480
10413480
0818880
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c)))
(+ (+ (+ (* x (log y)) z) t) a)
(+ (+ (* x (log y)) z) t)
(+ (* x (log y)) z)
(* x (log y))
x
(log y)
y
z
t
a
(* (- b 1/2) (log c))
(- b 1/2)
b
1/2
(log c)
c
(* y i)
i
Outputs
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c))) (* y i))
(+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 t (+.f64 a (*.f64 y i))))))
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c)))
(+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 t a))))
(+ (+ (+ (* x (log y)) z) t) a)
(+.f64 (*.f64 x (log.f64 y)) (+.f64 t (+.f64 z a)))
(+ (+ (* x (log y)) z) t)
(+.f64 (*.f64 x (log.f64 y)) (+.f64 z t))
(+ (* x (log y)) z)
(+.f64 (*.f64 x (log.f64 y)) z)
(* x (log y))
(*.f64 x (log.f64 y))
x
(log y)
(log.f64 y)
y
z
t
a
(* (- b 1/2) (log c))
(*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))
(- b 1/2)
(+.f64 b #s(literal -1/2 binary64))
b
1/2
#s(literal 1/2 binary64)
(log c)
(log.f64 c)
c
(* y i)
(*.f64 y i)
i

localize83.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)
accuracy100.0%
(+.f64 (*.f64 x (log.f64 y)) z)
accuracy99.8%
(*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))
accuracy99.6%
(*.f64 x (log.f64 y))
Results
62.0ms256×0valid
Compiler

Compiled 100 to 21 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-log: 8.0ms (36.6% of total)
ival-add: 6.0ms (27.4% of total)
ival-mult: 6.0ms (27.4% of total)
ival-sub: 1.0ms (4.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series197.0ms (1.5%)

Counts
7 → 372
Calls
Call 1
Inputs
#<alt (+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c))) (* y i))>
#<alt (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c)))>
#<alt (+ (+ (+ (* x (log y)) z) t) a)>
#<alt (+ (+ (* x (log y)) z) t)>
#<alt (* x (log y))>
#<alt (* (- b 1/2) (log c))>
#<alt (+ (* x (log y)) z)>
Outputs
#<alt (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (* x (log y))>
#<alt (* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))>
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#<alt (* x (log y))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ t z) x)))))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ t z) x)))))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ t z) x)))))>
#<alt (+ t (+ z (* x (log y))))>
#<alt (+ t (+ z (* x (log y))))>
#<alt (+ t (+ z (* x (log y))))>
#<alt (+ t (+ z (* x (log y))))>
#<alt (+ t (+ z (* -1 (* x (log (/ 1 y))))))>
#<alt (+ t (+ z (* -1 (* x (log (/ 1 y))))))>
#<alt (+ t (+ z (* -1 (* x (log (/ 1 y))))))>
#<alt (+ t (+ z (* -1 (* x (log (/ 1 y))))))>
#<alt (+ t (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (+ t (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (+ t (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (+ t (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (+ t (* x (log y)))>
#<alt (+ t (+ z (* x (log y))))>
#<alt (+ t (+ z (* x (log y))))>
#<alt (+ t (+ z (* x (log y))))>
#<alt z>
#<alt (* z (+ 1 (+ (/ t z) (/ (* x (log y)) z))))>
#<alt (* z (+ 1 (+ (/ t z) (/ (* x (log y)) z))))>
#<alt (* z (+ 1 (+ (/ t z) (/ (* x (log y)) z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* x (log y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* x (log y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* x (log y))) z)) 1)))>
#<alt (+ z (* x (log y)))>
#<alt (+ t (+ z (* x (log y))))>
#<alt (+ t (+ z (* x (log y))))>
#<alt (+ t (+ z (* x (log y))))>
#<alt t>
#<alt (* t (+ 1 (+ (/ z t) (/ (* x (log y)) t))))>
#<alt (* t (+ 1 (+ (/ z t) (/ (* x (log y)) t))))>
#<alt (* t (+ 1 (+ (/ z t) (/ (* x (log y)) t))))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ (+ z (* x (log y))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (+ z (* x (log y))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (+ z (* x (log y))) t)) 1)))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* -1 (* x (log (/ 1 y))))>
#<alt (* -1 (* x (log (/ 1 y))))>
#<alt (* -1 (* x (log (/ 1 y))))>
#<alt (* -1 (* x (log (/ 1 y))))>
#<alt (* x (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* x (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* x (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* x (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1/2 (log c))>
#<alt (+ (* -1/2 (log c)) (* b (log c)))>
#<alt (+ (* -1/2 (log c)) (* b (log c)))>
#<alt (+ (* -1/2 (log c)) (* b (log c)))>
#<alt (* b (log c))>
#<alt (* b (+ (log c) (* -1/2 (/ (log c) b))))>
#<alt (* b (+ (log c) (* -1/2 (/ (log c) b))))>
#<alt (* b (+ (log c) (* -1/2 (/ (log c) b))))>
#<alt (* b (log c))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))>
#<alt (* (log c) (- b 1/2))>
#<alt (* (log c) (- b 1/2))>
#<alt (* (log c) (- b 1/2))>
#<alt (* (log c) (- b 1/2))>
#<alt (* -1 (* (log (/ 1 c)) (- b 1/2)))>
#<alt (* -1 (* (log (/ 1 c)) (- b 1/2)))>
#<alt (* -1 (* (log (/ 1 c)) (- b 1/2)))>
#<alt (* -1 (* (log (/ 1 c)) (- b 1/2)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))>
#<alt z>
#<alt (+ z (* x (log y)))>
#<alt (+ z (* x (log y)))>
#<alt (+ z (* x (log y)))>
#<alt (* x (log y))>
#<alt (* x (+ (log y) (/ z x)))>
#<alt (* x (+ (log y) (/ z x)))>
#<alt (* x (+ (log y) (/ z x)))>
#<alt (* x (log y))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))>
#<alt (+ z (* x (log y)))>
#<alt (+ z (* x (log y)))>
#<alt (+ z (* x (log y)))>
#<alt (+ z (* x (log y)))>
#<alt (+ z (* -1 (* x (log (/ 1 y)))))>
#<alt (+ z (* -1 (* x (log (/ 1 y)))))>
#<alt (+ z (* -1 (* x (log (/ 1 y)))))>
#<alt (+ z (* -1 (* x (log (/ 1 y)))))>
#<alt (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* x (log y))>
#<alt (+ z (* x (log y)))>
#<alt (+ z (* x (log y)))>
#<alt (+ z (* x (log y)))>
#<alt z>
#<alt (* z (+ 1 (/ (* x (log y)) z)))>
#<alt (* z (+ 1 (/ (* x (log y)) z)))>
#<alt (* z (+ 1 (/ (* x (log y)) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))>
Calls

93 calls:

TimeVariablePointExpression
40.0ms
y
@0
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c)))
36.0ms
c
@0
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c))) (* y i))
26.0ms
c
@-inf
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c))) (* y i))
24.0ms
x
@0
(* x (log y))
10.0ms
x
@0
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c))) (* y i))

rewrite355.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
3924×*-lowering-*.f32
3924×*-lowering-*.f64
2352×/-lowering-/.f32
2352×/-lowering-/.f64
2034×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02063
111961
2128161
0830761
Stop Event
iter limit
node limit
Counts
7 → 362
Calls
Call 1
Inputs
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 1/2) (log c)))
(+ (+ (+ (* x (log y)) z) t) a)
(+ (+ (* x (log y)) z) t)
(* x (log y))
(* (- b 1/2) (log c))
(+ (* x (log y)) z)
Outputs
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (+.f64 (+.f64 t a) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) (+.f64 a (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) (+.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i)))
(+.f64 a (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)))
(+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 y i)))
(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (*.f64 y i) (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))
(+.f64 (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)) (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))))
(+.f64 (+.f64 (*.f64 y i) (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t))) (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))
(+.f64 (+.f64 (*.f64 y i) (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a)))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)))
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (-.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)))) (/.f64 (*.f64 y (*.f64 i (*.f64 y i))) (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (-.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)))))
(fma.f64 y i (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))
(fma.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c) (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 y i)))
(fma.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)) (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 y i)))
(fma.f64 i y (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))
(fma.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (-.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))))))) (*.f64 y i))
(fma.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (log.f64 y)))))) (+.f64 (+.f64 t a) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(fma.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (*.f64 t (-.f64 t (+.f64 (*.f64 x (log.f64 y)) z))))) (+.f64 a (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(fma.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (*.f64 t (-.f64 t (+.f64 (*.f64 x (log.f64 y)) z))))) (+.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i)))
(fma.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) #s(literal 3 binary64)) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) #s(literal 2 binary64)) (*.f64 a (-.f64 a (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)))))) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)))) (*.f64 y i))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) z)) (+.f64 (+.f64 t a) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(fma.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (log.f64 y)) (-.f64 z t))) (+.f64 a (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(fma.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (log.f64 y)) (-.f64 z t))) (+.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (log.f64 y)) (-.f64 (+.f64 z t) a))) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) #s(literal 3 binary64)) (*.f64 (*.f64 y i) (*.f64 y (*.f64 i (*.f64 y i))))) (+.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) #s(literal 2 binary64)) (*.f64 (*.f64 y i) (-.f64 (*.f64 y i) (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) #s(literal 3 binary64)) (*.f64 (*.f64 y i) (*.f64 y (*.f64 i (*.f64 y i))))) (+.f64 (*.f64 y (*.f64 i (*.f64 y i))) (-.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) #s(literal 2 binary64)) (*.f64 y (*.f64 i (*.f64 y i)))) (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (-.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) #s(literal 3 binary64)) (*.f64 (*.f64 y i) (*.f64 y (*.f64 i (*.f64 y i)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) #s(literal 2 binary64)) (*.f64 (*.f64 y i) (-.f64 (*.f64 y i) (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) #s(literal 2 binary64)) (*.f64 y (*.f64 i (*.f64 y i))))) (neg.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (-.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) #s(literal 2 binary64)) (*.f64 (*.f64 y i) (-.f64 (*.f64 y i) (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)))))) (+.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) #s(literal 3 binary64)) (*.f64 (*.f64 y i) (*.f64 y (*.f64 i (*.f64 y i)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (-.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))) (-.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) #s(literal 2 binary64)) (*.f64 y (*.f64 i (*.f64 y i))))))
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(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 a a)) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (log.f64 y)))))) (*.f64 (-.f64 t a) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))))) (*.f64 (-.f64 t a) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (log.f64 y)))))))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 a a)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (log.f64 y)) z)))) (*.f64 (-.f64 t a) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))))) (*.f64 (-.f64 t a) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (log.f64 y)) z)))))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 a a)) (-.f64 (*.f64 x (log.f64 y)) z)) (*.f64 (-.f64 t a) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)))) (*.f64 (-.f64 t a) (-.f64 (*.f64 x (log.f64 y)) z)))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 a a)) (neg.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (log.f64 y))))))) (*.f64 (-.f64 t a) (neg.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))))) (*.f64 (-.f64 t a) (neg.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (log.f64 y))))))))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 a a)) (neg.f64 (-.f64 (*.f64 x (log.f64 y)) z))) (*.f64 (-.f64 t a) (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z))))) (*.f64 (-.f64 t a) (neg.f64 (-.f64 (*.f64 x (log.f64 y)) z))))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 a a)) (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (log.f64 y))))) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))))) (*.f64 (-.f64 t a) #s(literal 1 binary64))) (*.f64 (-.f64 t a) (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (log.f64 y))))) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))))))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 a a)) (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)))) (*.f64 (-.f64 t a) #s(literal 1 binary64))) (*.f64 (-.f64 t a) (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)))))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 a a)) (-.f64 z (*.f64 x (log.f64 y)))) (*.f64 (-.f64 t a) (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64))))) (*.f64 (-.f64 t a) (-.f64 z (*.f64 x (log.f64 y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) #s(literal 2 binary64)) (+.f64 (*.f64 x (log.f64 y)) (-.f64 (+.f64 z t) a))) (*.f64 (+.f64 (*.f64 x (log.f64 y)) (-.f64 (+.f64 z t) a)) (*.f64 a a))) (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (-.f64 (+.f64 z t) a)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) #s(literal 2 binary64)) (*.f64 a (-.f64 a (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t))))) (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) #s(literal 3 binary64)) (*.f64 a (*.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 x (log.f64 y)) (-.f64 (+.f64 z t) a)) (-.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) #s(literal 3 binary64)) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) #s(literal 2 binary64)) (*.f64 a (-.f64 a (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (log.f64 y)) (-.f64 (+.f64 z t) a))))
(+.f64 (*.f64 x (log.f64 y)) (+.f64 z t))
(+.f64 z (+.f64 (*.f64 x (log.f64 y)) t))
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) z))
(+.f64 (+.f64 z t) (*.f64 x (log.f64 y)))
(+.f64 (+.f64 t (*.f64 x (log.f64 y))) z)
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (+.f64 (*.f64 x (log.f64 y)) (-.f64 z t))) (/.f64 (*.f64 t t) (+.f64 (*.f64 x (log.f64 y)) (-.f64 z t))))
(fma.f64 x (log.f64 y) (+.f64 z t))
(fma.f64 (log.f64 y) x (+.f64 z t))
(fma.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (log.f64 y)))))) t)
(fma.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) z)) t)
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (*.f64 t (-.f64 t (+.f64 (*.f64 x (log.f64 y)) z)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (+.f64 (*.f64 t t) (-.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 x (log.f64 y)) z) t))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (*.f64 x (log.f64 y)) (-.f64 z t)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (*.f64 t (*.f64 t t)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (*.f64 t (-.f64 t (+.f64 (*.f64 x (log.f64 y)) z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (*.f64 t t))) (neg.f64 (+.f64 (*.f64 x (log.f64 y)) (-.f64 z t))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (*.f64 (+.f64 z t) (*.f64 (+.f64 z t) (+.f64 z t)))) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 z t) (+.f64 z t)) (*.f64 (*.f64 x (log.f64 y)) (+.f64 z t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (*.f64 t (-.f64 t (+.f64 (*.f64 x (log.f64 y)) z)))) (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (*.f64 t (*.f64 t t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (log.f64 y)) (-.f64 z t)) (-.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (*.f64 t t))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 (+.f64 z t) (+.f64 z t))) (-.f64 (*.f64 x (log.f64 y)) (+.f64 z t)))
(/.f64 (-.f64 (*.f64 t t) (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64))) (-.f64 t (+.f64 (*.f64 x (log.f64 y)) z)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (+.f64 (*.f64 x (log.f64 y)) (-.f64 z t))) (*.f64 (+.f64 (*.f64 x (log.f64 y)) (-.f64 z t)) (*.f64 t t))) (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (-.f64 z t)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (*.f64 t (-.f64 t (+.f64 (*.f64 x (log.f64 y)) z)))) (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (*.f64 t (*.f64 t t)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 x (log.f64 y)) (-.f64 z t)) (-.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (*.f64 t t))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (*.f64 t (-.f64 t (+.f64 (*.f64 x (log.f64 y)) z))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (log.f64 y)) (-.f64 z t))))
(*.f64 x (log.f64 y))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 c) b) (*.f64 (log.f64 c) #s(literal -1/2 binary64)))
(+.f64 (*.f64 b (log.f64 c)) (*.f64 #s(literal -1/2 binary64) (log.f64 c)))
(fma.f64 b (log.f64 c) (*.f64 #s(literal -1/2 binary64) (log.f64 c)))
(fma.f64 (log.f64 c) b (*.f64 (log.f64 c) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (log.f64 c) (+.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64))) (+.f64 (*.f64 b b) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (log.f64 c) (+.f64 (*.f64 b b) #s(literal -1/4 binary64))) (+.f64 b #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (log.f64 c)) (+.f64 (*.f64 b b) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 b b) #s(literal -1/4 binary64)) (log.f64 c)) (+.f64 b #s(literal 1/2 binary64)))
(*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))
(*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))
(+.f64 (*.f64 x (log.f64 y)) z)
(+.f64 z (*.f64 x (log.f64 y)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (log.f64 y)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (log.f64 y)) z)))
(fma.f64 x (log.f64 y) z)
(fma.f64 (log.f64 y) x z)
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (log.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (log.f64 y)) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (log.f64 y)) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (log.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 x (log.f64 y)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (log.f64 y))))) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64))) (-.f64 z (*.f64 x (log.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (log.f64 y)) z)) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) (*.f64 z z))) (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (log.f64 y))))) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (log.f64 y)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) z)))

simplify274.0ms (2.1%)

Algorithm
egg-herbie
Rules
4152×+-lowering-+.f64
4152×+-lowering-+.f32
3802×*-lowering-*.f32
3802×*-lowering-*.f64
1208×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03615274
112114717
252164597
081114597
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
(+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(* x (log y))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))
(* x (log y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(* i y)
(* y (+ i (+ (* -1 (/ (* x (log (/ 1 y))) y)) (+ (/ a y) (+ (/ t y) (+ (/ z y) (/ (* (log c) (- b 1/2)) y)))))))
(* y (+ i (+ (* -1 (/ (* x (log (/ 1 y))) y)) (+ (/ a y) (+ (/ t y) (+ (/ z y) (/ (* (log c) (- b 1/2)) y)))))))
(* y (+ i (+ (* -1 (/ (* x (log (/ 1 y))) y)) (+ (/ a y) (+ (/ t y) (+ (/ z y) (/ (* (log c) (- b 1/2)) y)))))))
(* i y)
(* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) y)))))
(* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) y)))))
(* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) y)))))
(+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
z
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))
z
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))
(+ a (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
t
(* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* i y) t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t)))))))
(* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* i y) t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t)))))))
(* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* i y) t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t)))))))
t
(* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) t)) 1)))
(+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
a
(* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* i y) a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a)))))))
(* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* i y) a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a)))))))
(* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* i y) a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a)))))))
a
(* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) a)) 1)))
(+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* i y) (* x (log y)))))))
(+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (+ (* i y) (* x (log y))))))))
(+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (+ (* i y) (* x (log y))))))))
(+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (+ (* i y) (* x (log y))))))))
(* b (log c))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (+ (/ (* i y) b) (/ (* x (log y)) b))))))))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (+ (/ (* i y) b) (/ (* x (log y)) b))))))))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (+ (/ (* i y) b) (/ (* x (log y)) b))))))))
(* b (log c))
(* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* i y) (* x (log y))))))) b)))))
(* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* i y) (* x (log y))))))) b)))))
(* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* i y) (* x (log y))))))) b)))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (+ (* i y) (* x (log y)))))))
(+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (+ (* i y) (* x (log y)))))))
(+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (+ (* i y) (* x (log y)))))))
(+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (+ (* i y) (* x (log y)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(* i y)
(* i (+ y (+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))))))
(* i (+ y (+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))))))
(* i (+ y (+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))))))
(* i y)
(* -1 (* i (+ (* -1 y) (* -1 (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)))))
(* -1 (* i (+ (* -1 y) (* -1 (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)))))
(* -1 (* i (+ (* -1 y) (* -1 (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)))))
(+ a (+ t (+ z (* (log c) (- b 1/2)))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(* x (log y))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))))
(* x (log y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2)))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
z
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))
z
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))
(+ a (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
t
(* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t))))))
(* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t))))))
(* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t))))))
t
(* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) t)) 1)))
(+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
a
(* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a))))))
(* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a))))))
(* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a))))))
a
(* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) a)) 1)))
(+ a (+ t (+ z (+ (* -1/2 (log c)) (* x (log y))))))
(+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (* x (log y)))))))
(+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (* x (log y)))))))
(+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (* x (log y)))))))
(* b (log c))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (/ (* x (log y)) b)))))))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (/ (* x (log y)) b)))))))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (/ (* x (log y)) b)))))))
(* b (log c))
(* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (* x (log y)))))) b)))))
(* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (* x (log y)))))) b)))))
(* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (* x (log y)))))) b)))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (* x (log y))))))
(+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (* x (log y))))))
(+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (* x (log y))))))
(+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (* x (log y))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))))))
(+ a (+ t z))
(+ a (+ t (+ z (* x (log y)))))
(+ a (+ t (+ z (* x (log y)))))
(+ a (+ t (+ z (* x (log y)))))
(* x (log y))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (/ z x)))))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (/ z x)))))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (/ z x)))))
(* x (log y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t z)) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t z)) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t z)) x)))))
(+ a (+ t (+ z (* x (log y)))))
(+ a (+ t (+ z (* x (log y)))))
(+ a (+ t (+ z (* x (log y)))))
(+ a (+ t (+ z (* x (log y)))))
(+ a (+ t (+ z (* -1 (* x (log (/ 1 y)))))))
(+ a (+ t (+ z (* -1 (* x (log (/ 1 y)))))))
(+ a (+ t (+ z (* -1 (* x (log (/ 1 y)))))))
(+ a (+ t (+ z (* -1 (* x (log (/ 1 y)))))))
(+ a (+ t (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))))
(+ a (+ t (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))))
(+ a (+ t (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))))
(+ a (+ t (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))))
(+ a (+ t (* x (log y))))
(+ a (+ t (+ z (* x (log y)))))
(+ a (+ t (+ z (* x (log y)))))
(+ a (+ t (+ z (* x (log y)))))
z
(* z (+ 1 (+ (/ a z) (+ (/ t z) (/ (* x (log y)) z)))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (/ (* x (log y)) z)))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (/ (* x (log y)) z)))))
z
(* -1 (* z (- (* -1 (/ (+ a (+ t (* x (log y)))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (* x (log y)))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (* x (log y)))) z)) 1)))
(+ a (+ z (* x (log y))))
(+ a (+ t (+ z (* x (log y)))))
(+ a (+ t (+ z (* x (log y)))))
(+ a (+ t (+ z (* x (log y)))))
t
(* t (+ 1 (+ (/ a t) (+ (/ z t) (/ (* x (log y)) t)))))
(* t (+ 1 (+ (/ a t) (+ (/ z t) (/ (* x (log y)) t)))))
(* t (+ 1 (+ (/ a t) (+ (/ z t) (/ (* x (log y)) t)))))
t
(* -1 (* t (- (* -1 (/ (+ a (+ z (* x (log y)))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ a (+ z (* x (log y)))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ a (+ z (* x (log y)))) t)) 1)))
(+ t (+ z (* x (log y))))
(+ a (+ t (+ z (* x (log y)))))
(+ a (+ t (+ z (* x (log y)))))
(+ a (+ t (+ z (* x (log y)))))
a
(* a (+ 1 (+ (/ t a) (+ (/ z a) (/ (* x (log y)) a)))))
(* a (+ 1 (+ (/ t a) (+ (/ z a) (/ (* x (log y)) a)))))
(* a (+ 1 (+ (/ t a) (+ (/ z a) (/ (* x (log y)) a)))))
a
(* -1 (* a (- (* -1 (/ (+ t (+ z (* x (log y)))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ t (+ z (* x (log y)))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ t (+ z (* x (log y)))) a)) 1)))
(+ t z)
(+ t (+ z (* x (log y))))
(+ t (+ z (* x (log y))))
(+ t (+ z (* x (log y))))
(* x (log y))
(* x (+ (log y) (+ (/ t x) (/ z x))))
(* x (+ (log y) (+ (/ t x) (/ z x))))
(* x (+ (log y) (+ (/ t x) (/ z x))))
(* x (log y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ t z) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ t z) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ t z) x)))))
(+ t (+ z (* x (log y))))
(+ t (+ z (* x (log y))))
(+ t (+ z (* x (log y))))
(+ t (+ z (* x (log y))))
(+ t (+ z (* -1 (* x (log (/ 1 y))))))
(+ t (+ z (* -1 (* x (log (/ 1 y))))))
(+ t (+ z (* -1 (* x (log (/ 1 y))))))
(+ t (+ z (* -1 (* x (log (/ 1 y))))))
(+ t (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))
(+ t (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))
(+ t (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))
(+ t (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))
(+ t (* x (log y)))
(+ t (+ z (* x (log y))))
(+ t (+ z (* x (log y))))
(+ t (+ z (* x (log y))))
z
(* z (+ 1 (+ (/ t z) (/ (* x (log y)) z))))
(* z (+ 1 (+ (/ t z) (/ (* x (log y)) z))))
(* z (+ 1 (+ (/ t z) (/ (* x (log y)) z))))
z
(* -1 (* z (- (* -1 (/ (+ t (* x (log y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ t (* x (log y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ t (* x (log y))) z)) 1)))
(+ z (* x (log y)))
(+ t (+ z (* x (log y))))
(+ t (+ z (* x (log y))))
(+ t (+ z (* x (log y))))
t
(* t (+ 1 (+ (/ z t) (/ (* x (log y)) t))))
(* t (+ 1 (+ (/ z t) (/ (* x (log y)) t))))
(* t (+ 1 (+ (/ z t) (/ (* x (log y)) t))))
t
(* -1 (* t (- (* -1 (/ (+ z (* x (log y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ z (* x (log y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ z (* x (log y))) t)) 1)))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* -1 (* x (log (/ 1 y))))
(* -1 (* x (log (/ 1 y))))
(* -1 (* x (log (/ 1 y))))
(* -1 (* x (log (/ 1 y))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1/2 (log c))
(+ (* -1/2 (log c)) (* b (log c)))
(+ (* -1/2 (log c)) (* b (log c)))
(+ (* -1/2 (log c)) (* b (log c)))
(* b (log c))
(* b (+ (log c) (* -1/2 (/ (log c) b))))
(* b (+ (log c) (* -1/2 (/ (log c) b))))
(* b (+ (log c) (* -1/2 (/ (log c) b))))
(* b (log c))
(* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))
(* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))
(* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))
(* (log c) (- b 1/2))
(* (log c) (- b 1/2))
(* (log c) (- b 1/2))
(* (log c) (- b 1/2))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
z
(+ z (* x (log y)))
(+ z (* x (log y)))
(+ z (* x (log y)))
(* x (log y))
(* x (+ (log y) (/ z x)))
(* x (+ (log y) (/ z x)))
(* x (+ (log y) (/ z x)))
(* x (log y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))
(+ z (* x (log y)))
(+ z (* x (log y)))
(+ z (* x (log y)))
(+ z (* x (log y)))
(+ z (* -1 (* x (log (/ 1 y)))))
(+ z (* -1 (* x (log (/ 1 y)))))
(+ z (* -1 (* x (log (/ 1 y)))))
(+ z (* -1 (* x (log (/ 1 y)))))
(+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))
(+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))
(+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))
(+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))
(* x (log y))
(+ z (* x (log y)))
(+ z (* x (log y)))
(+ z (* x (log y)))
z
(* z (+ 1 (/ (* x (log y)) z)))
(* z (+ 1 (/ (* x (log y)) z)))
(* z (+ 1 (/ (* x (log y)) z)))
z
(* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))
Outputs
(+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2))))))
(+.f64 a (+.f64 t (+.f64 (*.f64 i y) (+.f64 z (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+.f64 (+.f64 z (+.f64 (*.f64 i y) (+.f64 (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))) (*.f64 x (log.f64 y))))) (+.f64 a t))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+.f64 (+.f64 z (+.f64 (*.f64 i y) (+.f64 (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))) (*.f64 x (log.f64 y))))) (+.f64 a t))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+.f64 (+.f64 z (+.f64 (*.f64 i y) (+.f64 (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))) (*.f64 x (log.f64 y))))) (+.f64 a t))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))
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(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* -1/2 (log c))
(*.f64 (log.f64 c) #s(literal -1/2 binary64))
(+ (* -1/2 (log c)) (* b (log c)))
(*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))
(+ (* -1/2 (log c)) (* b (log c)))
(*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))
(+ (* -1/2 (log c)) (* b (log c)))
(*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))
(* b (log c))
(*.f64 (log.f64 c) b)
(* b (+ (log c) (* -1/2 (/ (log c) b))))
(*.f64 b (+.f64 (log.f64 c) (/.f64 (*.f64 (log.f64 c) #s(literal -1/2 binary64)) b)))
(* b (+ (log c) (* -1/2 (/ (log c) b))))
(*.f64 b (+.f64 (log.f64 c) (/.f64 (*.f64 (log.f64 c) #s(literal -1/2 binary64)) b)))
(* b (+ (log c) (* -1/2 (/ (log c) b))))
(*.f64 b (+.f64 (log.f64 c) (/.f64 (*.f64 (log.f64 c) #s(literal -1/2 binary64)) b)))
(* b (log c))
(*.f64 (log.f64 c) b)
(* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))
(*.f64 b (+.f64 (log.f64 c) (/.f64 (*.f64 (log.f64 c) #s(literal -1/2 binary64)) b)))
(* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))
(*.f64 b (+.f64 (log.f64 c) (/.f64 (*.f64 (log.f64 c) #s(literal -1/2 binary64)) b)))
(* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))
(*.f64 b (+.f64 (log.f64 c) (/.f64 (*.f64 (log.f64 c) #s(literal -1/2 binary64)) b)))
(* (log c) (- b 1/2))
(*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))
(* (log c) (- b 1/2))
(*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))
(* (log c) (- b 1/2))
(*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))
(* (log c) (- b 1/2))
(*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))
(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
(*.f64 (+.f64 b #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) c))))
(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
(*.f64 (+.f64 b #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) c))))
(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
(*.f64 (+.f64 b #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) c))))
(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
(*.f64 (+.f64 b #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) c))))
z
(+ z (* x (log y)))
(+.f64 z (*.f64 x (log.f64 y)))
(+ z (* x (log y)))
(+.f64 z (*.f64 x (log.f64 y)))
(+ z (* x (log y)))
(+.f64 z (*.f64 x (log.f64 y)))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (+ (log y) (/ z x)))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(* x (+ (log y) (/ z x)))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(* x (+ (log y) (/ z x)))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(* x (log y))
(*.f64 x (log.f64 y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(+ z (* x (log y)))
(+.f64 z (*.f64 x (log.f64 y)))
(+ z (* x (log y)))
(+.f64 z (*.f64 x (log.f64 y)))
(+ z (* x (log y)))
(+.f64 z (*.f64 x (log.f64 y)))
(+ z (* x (log y)))
(+.f64 z (*.f64 x (log.f64 y)))
(+ z (* -1 (* x (log (/ 1 y)))))
(+.f64 z (*.f64 x (log.f64 y)))
(+ z (* -1 (* x (log (/ 1 y)))))
(+.f64 z (*.f64 x (log.f64 y)))
(+ z (* -1 (* x (log (/ 1 y)))))
(+.f64 z (*.f64 x (log.f64 y)))
(+ z (* -1 (* x (log (/ 1 y)))))
(+.f64 z (*.f64 x (log.f64 y)))
(+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))
(+.f64 z (*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))
(+.f64 z (*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))
(+.f64 z (*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))
(+.f64 z (*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(* x (log y))
(*.f64 x (log.f64 y))
(+ z (* x (log y)))
(+.f64 z (*.f64 x (log.f64 y)))
(+ z (* x (log y)))
(+.f64 z (*.f64 x (log.f64 y)))
(+ z (* x (log y)))
(+.f64 z (*.f64 x (log.f64 y)))
z
(* z (+ 1 (/ (* x (log y)) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (log.f64 y) z))))
(* z (+ 1 (/ (* x (log y)) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (log.f64 y) z))))
(* z (+ 1 (/ (* x (log y)) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (log.f64 y) z))))
z
(* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (log.f64 y) z))))
(* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (log.f64 y) z))))
(* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (log.f64 y) z))))

eval89.0ms (0.7%)

Compiler

Compiled 32212 to 2106 computations (93.5% saved)

prune118.0ms (0.9%)

Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New71024734
Fresh000
Picked101
Done000
Total71124735
Accuracy
100.0%
Counts
735 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.6%
(+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) #s(literal 2 binary64)) (*.f64 a a)) (+.f64 (*.f64 b b) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/2 binary64))))) (*.f64 (+.f64 (*.f64 x (log.f64 y)) (-.f64 (+.f64 z t) a)) (*.f64 (+.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (log.f64 c)))) (*.f64 (+.f64 (*.f64 x (log.f64 y)) (-.f64 (+.f64 z t) a)) (+.f64 (*.f64 b b) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (*.f64 y i))
68.1%
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a) (/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (log.f64 c)) (+.f64 (*.f64 b b) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (*.f64 y i))
93.9%
(+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (log.f64 y) z)))) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
87.1%
(+.f64 (+.f64 (+.f64 (+.f64 z t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
86.9%
(+.f64 (+.f64 (+.f64 z a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
62.9%
(+.f64 (+.f64 (+.f64 t a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
75.1%
(+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y)))
81.1%
(+.f64 (+.f64 (*.f64 z (/.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 a t)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) z)) z) (*.f64 y i))
66.9%
(+.f64 (+.f64 z (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
62.5%
(+.f64 (+.f64 a (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
42.5%
(+.f64 (*.f64 (log.f64 c) b) (*.f64 y i))
71.6%
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) x))) (*.f64 y i))
70.5%
(+.f64 (*.f64 x (+.f64 (log.f64 y) (+.f64 (/.f64 a x) (+.f64 (/.f64 (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))) x) (+.f64 (/.f64 t x) (/.f64 z x)))))) (*.f64 y i))
38.9%
(+.f64 (*.f64 x (log.f64 y)) (*.f64 y i))
49.7%
(+.f64 z (*.f64 y i))
45.5%
(+.f64 a (*.f64 y i))
18.1%
(*.f64 (log.f64 c) b)
69.3%
(*.f64 y (+.f64 i (+.f64 (*.f64 (log.f64 y) (/.f64 x y)) (+.f64 (+.f64 (/.f64 z y) (*.f64 (log.f64 c) (/.f64 (+.f64 b #s(literal -1/2 binary64)) y))) (+.f64 (/.f64 a y) (/.f64 t y))))))
14.2%
(*.f64 x (log.f64 y))
72.4%
(*.f64 i (+.f64 y (/.f64 (+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y))) i)))
71.1%
(*.f64 i (+.f64 y (+.f64 (+.f64 (*.f64 x (/.f64 (log.f64 y) i)) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (/.f64 (log.f64 c) i)) (/.f64 z i))) (+.f64 (/.f64 a i) (/.f64 t i)))))
26.6%
(*.f64 i y)
25.1%
z
21.1%
a
Compiler

Compiled 1218 to 822 computations (32.5% saved)

simplify210.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 y)
cost-diff0
(+.f64 (log.f64 y) (+.f64 (/.f64 a x) (+.f64 (/.f64 (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))) x) (+.f64 (/.f64 t x) (/.f64 z x)))))
cost-diff0
(+.f64 (*.f64 x (+.f64 (log.f64 y) (+.f64 (/.f64 a x) (+.f64 (/.f64 (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))) x) (+.f64 (/.f64 t x) (/.f64 z x)))))) (*.f64 y i))
cost-diff512
(*.f64 x (+.f64 (log.f64 y) (+.f64 (/.f64 a x) (+.f64 (/.f64 (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))) x) (+.f64 (/.f64 t x) (/.f64 z x))))))
cost-diff0
(*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))
cost-diff0
(+.f64 z a)
cost-diff0
(+.f64 (+.f64 z a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c)))
cost-diff0
(+.f64 (+.f64 (+.f64 z a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
cost-diff0
(log.f64 c)
cost-diff0
(*.f64 (log.f64 c) b)
cost-diff0
(+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (log.f64 y) z)))) t) a)
cost-diff0
(+.f64 (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (log.f64 y) z)))) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c)))
cost-diff0
(+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (log.f64 y) z)))) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
cost-diff256
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (log.f64 y) z))))
Rules
3762×*-lowering-*.f32
3762×*-lowering-*.f64
3214×+-lowering-+.f64
3214×+-lowering-+.f32
1550×times-frac
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040325
1106308
2427308
31856282
43176281
53900281
66291281
08533281
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (+ (+ (+ (* z (+ 1 (* x (/ (log y) z)))) t) a) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (* z (+ 1 (* x (/ (log y) z)))) t) a) (* (- b 1/2) (log c)))
(+ (+ (* z (+ 1 (* x (/ (log y) z)))) t) a)
(+ (* z (+ 1 (* x (/ (log y) z)))) t)
(* z (+ 1 (* x (/ (log y) z))))
z
(+ 1 (* x (/ (log y) z)))
1
(* x (/ (log y) z))
x
(/ (log y) z)
(log y)
y
t
a
(* (- b 1/2) (log c))
(- b 1/2)
b
1/2
(log c)
c
(* y i)
i
a
(* (log c) b)
(log c)
c
b
(+ (+ (+ z a) (* (- b 1/2) (log c))) (* y i))
(+ (+ z a) (* (- b 1/2) (log c)))
(+ z a)
z
a
(* (- b 1/2) (log c))
(- b 1/2)
b
1/2
(log c)
c
(* y i)
y
i
(+ (* x (+ (log y) (+ (/ a x) (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x)))))) (* y i))
(* x (+ (log y) (+ (/ a x) (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x))))))
x
(+ (log y) (+ (/ a x) (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x)))))
(log y)
y
(+ (/ a x) (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x))))
(/ a x)
a
(+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x)))
(/ (* (log c) (+ b -1/2)) x)
(* (log c) (+ b -1/2))
(log c)
c
(+ b -1/2)
b
-1/2
(+ (/ t x) (/ z x))
(/ t x)
t
(/ z x)
z
(* y i)
i
Outputs
(+ (+ (+ (+ (* z (+ 1 (* x (/ (log y) z)))) t) a) (* (- b 1/2) (log c))) (* y i))
(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) a) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)))
(+ (+ (+ (* z (+ 1 (* x (/ (log y) z)))) t) a) (* (- b 1/2) (log c)))
(+.f64 a (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))
(+ (+ (* z (+ 1 (* x (/ (log y) z)))) t) a)
(+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) a)
(+ (* z (+ 1 (* x (/ (log y) z)))) t)
(+.f64 (*.f64 x (log.f64 y)) (+.f64 z t))
(* z (+ 1 (* x (/ (log y) z))))
(+.f64 z (*.f64 x (log.f64 y)))
z
(+ 1 (* x (/ (log y) z)))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 z x)))
1
#s(literal 1 binary64)
(* x (/ (log y) z))
(/.f64 (log.f64 y) (/.f64 z x))
x
(/ (log y) z)
(/.f64 (log.f64 y) z)
(log y)
(log.f64 y)
y
t
a
(* (- b 1/2) (log c))
(*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))
(- b 1/2)
(+.f64 b #s(literal -1/2 binary64))
b
1/2
#s(literal 1/2 binary64)
(log c)
(log.f64 c)
c
(* y i)
(*.f64 y i)
i
a
(* (log c) b)
(*.f64 b (log.f64 c))
(log c)
(log.f64 c)
c
b
(+ (+ (+ z a) (* (- b 1/2) (log c))) (* y i))
(+.f64 a (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 z (*.f64 y i))))
(+ (+ z a) (* (- b 1/2) (log c)))
(+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 z a))
(+ z a)
(+.f64 z a)
z
a
(* (- b 1/2) (log c))
(*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))
(- b 1/2)
(+.f64 b #s(literal -1/2 binary64))
b
1/2
#s(literal 1/2 binary64)
(log c)
(log.f64 c)
c
(* y i)
(*.f64 y i)
y
i
(+ (* x (+ (log y) (+ (/ a x) (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x)))))) (* y i))
(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) a) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)))
(* x (+ (log y) (+ (/ a x) (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x))))))
(+.f64 a (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))
x
(+ (log y) (+ (/ a x) (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x)))))
(+.f64 (log.f64 y) (+.f64 (/.f64 a x) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (/.f64 (log.f64 c) x)) (+.f64 (/.f64 t x) (/.f64 z x)))))
(log y)
(log.f64 y)
y
(+ (/ a x) (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x))))
(+.f64 (/.f64 a x) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (/.f64 (log.f64 c) x)) (+.f64 (/.f64 t x) (/.f64 z x))))
(/ a x)
(/.f64 a x)
a
(+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x)))
(+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (/.f64 (log.f64 c) x)) (+.f64 (/.f64 t x) (/.f64 z x)))
(/ (* (log c) (+ b -1/2)) x)
(*.f64 (+.f64 b #s(literal -1/2 binary64)) (/.f64 (log.f64 c) x))
(* (log c) (+ b -1/2))
(*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))
(log c)
(log.f64 c)
c
(+ b -1/2)
(+.f64 b #s(literal -1/2 binary64))
b
-1/2
#s(literal -1/2 binary64)
(+ (/ t x) (/ z x))
(+.f64 (/.f64 t x) (/.f64 z x))
(/ t x)
(/.f64 t x)
t
(/ z x)
(/.f64 z x)
z
(* y i)
(*.f64 y i)
i

localize292.0ms (2.3%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy98.1%
(+.f64 (/.f64 t x) (/.f64 z x))
accuracy97.1%
(+.f64 (/.f64 (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))) x) (+.f64 (/.f64 t x) (/.f64 z x)))
accuracy92.3%
(+.f64 (/.f64 a x) (+.f64 (/.f64 (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))) x) (+.f64 (/.f64 t x) (/.f64 z x))))
accuracy69.6%
(*.f64 x (+.f64 (log.f64 y) (+.f64 (/.f64 a x) (+.f64 (/.f64 (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))) x) (+.f64 (/.f64 t x) (/.f64 z x))))))
accuracy100.0%
(log.f64 c)
accuracy100.0%
(+.f64 (+.f64 (+.f64 z a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
accuracy100.0%
(+.f64 (+.f64 z a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c)))
accuracy99.8%
(*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))
accuracy100.0%
(log.f64 c)
accuracy99.6%
(*.f64 (log.f64 c) b)
accuracy99.8%
(*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))
accuracy99.7%
(*.f64 x (/.f64 (log.f64 y) z))
accuracy99.6%
(/.f64 (log.f64 y) z)
accuracy93.6%
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (log.f64 y) z))))
Results
234.0ms256×0valid
Compiler

Compiled 354 to 41 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-div: 26.0ms (41.3% of total)
ival-add: 15.0ms (23.8% of total)
ival-mult: 12.0ms (19.1% of total)
ival-log: 8.0ms (12.7% of total)
ival-sub: 1.0ms (1.6% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series132.0ms (1%)

Counts
19 → 984
Calls
Call 1
Inputs
#<alt (* z (+ 1 (* x (/ (log y) z))))>
#<alt (+ (+ (+ (+ (* z (+ 1 (* x (/ (log y) z)))) t) a) (* (- b 1/2) (log c))) (* y i))>
#<alt (+ (+ (+ (* z (+ 1 (* x (/ (log y) z)))) t) a) (* (- b 1/2) (log c)))>
#<alt (+ (+ (* z (+ 1 (* x (/ (log y) z)))) t) a)>
#<alt (* (log c) b)>
#<alt (log c)>
#<alt (+ (+ (+ z a) (* (- b 1/2) (log c))) (* y i))>
#<alt (+ (+ z a) (* (- b 1/2) (log c)))>
#<alt (+ z a)>
#<alt (* (- b 1/2) (log c))>
#<alt (* x (+ (log y) (+ (/ a x) (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x))))))>
#<alt (+ (* x (+ (log y) (+ (/ a x) (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x)))))) (* y i))>
#<alt (+ (log y) (+ (/ a x) (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x)))))>
#<alt (log y)>
#<alt (/ (log y) z)>
#<alt (* x (/ (log y) z))>
#<alt (+ (/ a x) (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x))))>
#<alt (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x)))>
#<alt (+ (/ t x) (/ z x))>
Outputs
#<alt (* x (log y))>
#<alt (+ z (* x (log y)))>
#<alt (+ z (* x (log y)))>
#<alt (+ z (* x (log y)))>
#<alt z>
#<alt (* z (+ 1 (/ (* x (log y)) z)))>
#<alt (* z (+ 1 (/ (* x (log y)) z)))>
#<alt (* z (+ 1 (/ (* x (log y)) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))>
#<alt z>
#<alt (+ z (* x (log y)))>
#<alt (+ z (* x (log y)))>
#<alt (+ z (* x (log y)))>
#<alt (* x (log y))>
#<alt (* x (+ (log y) (/ z x)))>
#<alt (* x (+ (log y) (/ z x)))>
#<alt (* x (+ (log y) (/ z x)))>
#<alt (* x (log y))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))>
#<alt (* z (+ 1 (/ (* x (log y)) z)))>
#<alt (* z (+ 1 (/ (* x (log y)) z)))>
#<alt (* z (+ 1 (/ (* x (log y)) z)))>
#<alt (* z (+ 1 (/ (* x (log y)) z)))>
#<alt (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z))))>
#<alt (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z))))>
#<alt (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z))))>
#<alt (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z))))>
#<alt (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)))>
#<alt (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)))>
#<alt (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)))>
#<alt (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)))>
#<alt (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt z>
#<alt (* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))>
#<alt (* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))>
#<alt (* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))>
#<alt (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (* x (log y))>
#<alt (* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))>
#<alt (* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))>
#<alt (* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))>
#<alt (* x (log y))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))>
#<alt (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))>
#<alt (* i y)>
#<alt (* y (+ i (+ (/ a y) (+ (/ t y) (+ (/ (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z)))) y) (/ (* (log c) (- b 1/2)) y))))))>
#<alt (* y (+ i (+ (/ a y) (+ (/ t y) (+ (/ (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z)))) y) (/ (* (log c) (- b 1/2)) y))))))>
#<alt (* y (+ i (+ (/ a y) (+ (/ t y) (+ (/ (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z)))) y) (/ (* (log c) (- b 1/2)) y))))))>
#<alt (* i y)>
#<alt (* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) (* (log c) (- b 1/2))))) y)))))>
#<alt (* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) (* (log c) (- b 1/2))))) y)))))>
#<alt (* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) (* (log c) (- b 1/2))))) y)))))>
#<alt (+ a (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))>
#<alt t>
#<alt (* t (+ 1 (+ (/ a t) (+ (/ (* i y) t) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) t) (/ (* (log c) (- b 1/2)) t))))))>
#<alt (* t (+ 1 (+ (/ a t) (+ (/ (* i y) t) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) t) (/ (* (log c) (- b 1/2)) t))))))>
#<alt (* t (+ 1 (+ (/ a t) (+ (/ (* i y) t) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) t) (/ (* (log c) (- b 1/2)) t))))))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ (+ a (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (+ a (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (+ a (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) t)) 1)))>
#<alt (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))>
#<alt a>
#<alt (* a (+ 1 (+ (/ t a) (+ (/ (* i y) a) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) a) (/ (* (log c) (- b 1/2)) a))))))>
#<alt (* a (+ 1 (+ (/ t a) (+ (/ (* i y) a) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) a) (/ (* (log c) (- b 1/2)) a))))))>
#<alt (* a (+ 1 (+ (/ t a) (+ (/ (* i y) a) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) a) (/ (* (log c) (- b 1/2)) a))))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) a)) 1)))>
#<alt (+ a (+ t (+ (* -1/2 (log c)) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z)))))))>
#<alt (+ a (+ t (+ (* -1/2 (log c)) (+ (* b (log c)) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z))))))))>
#<alt (+ a (+ t (+ (* -1/2 (log c)) (+ (* b (log c)) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z))))))))>
#<alt (+ a (+ t (+ (* -1/2 (log c)) (+ (* b (log c)) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z))))))))>
#<alt (* b (log c))>
#<alt (* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ (* i y) b) (/ (* z (+ 1 (/ (* x (log y)) z))) b)))))))>
#<alt (* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ (* i y) b) (/ (* z (+ 1 (/ (* x (log y)) z))) b)))))))>
#<alt (* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ (* i y) b) (/ (* z (+ 1 (/ (* x (log y)) z))) b)))))))>
#<alt (* b (log c))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ (* -1/2 (log c)) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z))))))) b)))))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ (* -1/2 (log c)) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z))))))) b)))))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ (* -1/2 (log c)) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z))))))) b)))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z)))))))>
#<alt (+ a (+ t (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z)))))))>
#<alt (+ a (+ t (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z)))))))>
#<alt (+ a (+ t (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z)))))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))))))>
#<alt (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))>
#<alt (* i y)>
#<alt (* i (+ y (+ (/ a i) (+ (/ t i) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) i) (/ (* (log c) (- b 1/2)) i))))))>
#<alt (* i (+ y (+ (/ a i) (+ (/ t i) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) i) (/ (* (log c) (- b 1/2)) i))))))>
#<alt (* i (+ y (+ (/ a i) (+ (/ t i) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) i) (/ (* (log c) (- b 1/2)) i))))))>
#<alt (* i y)>
#<alt (* -1 (* i (+ (* -1 y) (* -1 (/ (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) i)))))>
#<alt (* -1 (* i (+ (* -1 y) (* -1 (/ (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) i)))))>
#<alt (* -1 (* i (+ (* -1 y) (* -1 (/ (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) i)))))>
#<alt (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt z>
#<alt (* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))>
#<alt (* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))>
#<alt (* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))>
#<alt (+ a (+ t (+ z (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (* x (log y))>
#<alt (* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))))>
#<alt (* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))))>
#<alt (* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))))>
#<alt (* x (log y))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)))))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)))))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)))))>
#<alt (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z)))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z)))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z)))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z)))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))>
#<alt (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))>
#<alt t>
#<alt (* t (+ 1 (+ (/ a t) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) t) (/ (* (log c) (- b 1/2)) t)))))>
#<alt (* t (+ 1 (+ (/ a t) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) t) (/ (* (log c) (- b 1/2)) t)))))>
#<alt (* t (+ 1 (+ (/ a t) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) t) (/ (* (log c) (- b 1/2)) t)))))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ (+ a (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (+ a (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (+ a (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))) t)) 1)))>
#<alt (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))>
#<alt (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))>
#<alt a>
#<alt (* a (+ 1 (+ (/ t a) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) a) (/ (* (log c) (- b 1/2)) a)))))>
#<alt (* a (+ 1 (+ (/ t a) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) a) (/ (* (log c) (- b 1/2)) a)))))>
#<alt (* a (+ 1 (+ (/ t a) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) a) (/ (* (log c) (- b 1/2)) a)))))>
#<alt a>
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#<alt (/ t x)>
#<alt (* -1 (* t (- (* -1 (/ (+ (/ z x) (/ (* (log c) (- b 1/2)) x)) t)) (/ 1 x))))>
#<alt (* -1 (* t (- (* -1 (/ (+ (/ z x) (/ (* (log c) (- b 1/2)) x)) t)) (/ 1 x))))>
#<alt (* -1 (* t (- (* -1 (/ (+ (/ z x) (/ (* (log c) (- b 1/2)) x)) t)) (/ 1 x))))>
#<alt (+ (/ t x) (/ (* (log c) (- b 1/2)) x))>
#<alt (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x)))>
#<alt (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x)))>
#<alt (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x)))>
#<alt (/ z x)>
#<alt (* z (+ (/ 1 x) (+ (/ t (* x z)) (/ (* (log c) (- b 1/2)) (* x z)))))>
#<alt (* z (+ (/ 1 x) (+ (/ t (* x z)) (/ (* (log c) (- b 1/2)) (* x z)))))>
#<alt (* z (+ (/ 1 x) (+ (/ t (* x z)) (/ (* (log c) (- b 1/2)) (* x z)))))>
#<alt (/ z x)>
#<alt (* -1 (* z (- (* -1 (/ (+ (/ t x) (/ (* (log c) (- b 1/2)) x)) z)) (/ 1 x))))>
#<alt (* -1 (* z (- (* -1 (/ (+ (/ t x) (/ (* (log c) (- b 1/2)) x)) z)) (/ 1 x))))>
#<alt (* -1 (* z (- (* -1 (/ (+ (/ t x) (/ (* (log c) (- b 1/2)) x)) z)) (/ 1 x))))>
#<alt (/ z x)>
#<alt (+ (/ t x) (/ z x))>
#<alt (+ (/ t x) (/ z x))>
#<alt (+ (/ t x) (/ z x))>
#<alt (/ t x)>
#<alt (* t (+ (/ 1 x) (/ z (* t x))))>
#<alt (* t (+ (/ 1 x) (/ z (* t x))))>
#<alt (* t (+ (/ 1 x) (/ z (* t x))))>
#<alt (/ t x)>
#<alt (* -1 (* t (- (* -1 (/ z (* t x))) (/ 1 x))))>
#<alt (* -1 (* t (- (* -1 (/ z (* t x))) (/ 1 x))))>
#<alt (* -1 (* t (- (* -1 (/ z (* t x))) (/ 1 x))))>
#<alt (/ (+ t z) x)>
#<alt (/ (+ t z) x)>
#<alt (/ (+ t z) x)>
#<alt (/ (+ t z) x)>
#<alt (/ (+ t z) x)>
#<alt (/ (+ t z) x)>
#<alt (/ (+ t z) x)>
#<alt (/ (+ t z) x)>
#<alt (* -1 (/ (+ (* -1 t) (* -1 z)) x))>
#<alt (* -1 (/ (+ (* -1 t) (* -1 z)) x))>
#<alt (* -1 (/ (+ (* -1 t) (* -1 z)) x))>
#<alt (* -1 (/ (+ (* -1 t) (* -1 z)) x))>
#<alt (/ t x)>
#<alt (+ (/ t x) (/ z x))>
#<alt (+ (/ t x) (/ z x))>
#<alt (+ (/ t x) (/ z x))>
#<alt (/ z x)>
#<alt (* z (+ (/ 1 x) (/ t (* x z))))>
#<alt (* z (+ (/ 1 x) (/ t (* x z))))>
#<alt (* z (+ (/ 1 x) (/ t (* x z))))>
#<alt (/ z x)>
#<alt (* -1 (* z (- (* -1 (/ t (* x z))) (/ 1 x))))>
#<alt (* -1 (* z (- (* -1 (/ t (* x z))) (/ 1 x))))>
#<alt (* -1 (* z (- (* -1 (/ t (* x z))) (/ 1 x))))>
Calls

246 calls:

TimeVariablePointExpression
34.0ms
b
@inf
(+ (+ (+ (* z (+ 1 (* x (/ (log y) z)))) t) a) (* (- b 1/2) (log c)))
9.0ms
b
@0
(* (log c) b)
7.0ms
c
@inf
(* x (+ (log y) (+ (/ a x) (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x))))))
6.0ms
z
@inf
(/ (log y) z)
5.0ms
z
@0
(/ (log y) z)

rewrite327.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
2622×*-lowering-*.f32
2622×*-lowering-*.f64
1648×/-lowering-/.f32
1648×/-lowering-/.f64
1556×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040233
1315213
24006213
08308213
Stop Event
iter limit
node limit
Counts
19 → 396
Calls
Call 1
Inputs
(* z (+ 1 (* x (/ (log y) z))))
(+ (+ (+ (+ (* z (+ 1 (* x (/ (log y) z)))) t) a) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (* z (+ 1 (* x (/ (log y) z)))) t) a) (* (- b 1/2) (log c)))
(+ (+ (* z (+ 1 (* x (/ (log y) z)))) t) a)
(* (log c) b)
(log c)
(+ (+ (+ z a) (* (- b 1/2) (log c))) (* y i))
(+ (+ z a) (* (- b 1/2) (log c)))
(+ z a)
(* (- b 1/2) (log c))
(* x (+ (log y) (+ (/ a x) (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x))))))
(+ (* x (+ (log y) (+ (/ a x) (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x)))))) (* y i))
(+ (log y) (+ (/ a x) (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x)))))
(log y)
(/ (log y) z)
(* x (/ (log y) z))
(+ (/ a x) (+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x))))
(+ (/ (* (log c) (+ b -1/2)) x) (+ (/ t x) (/ z x)))
(+ (/ t x) (/ z x))
Outputs
(+.f64 z (*.f64 z (/.f64 x (/.f64 z (log.f64 y)))))
(+.f64 (*.f64 z (/.f64 x (/.f64 z (log.f64 y)))) z)
(fma.f64 z #s(literal 1 binary64) (*.f64 z (/.f64 x (/.f64 z (log.f64 y)))))
(fma.f64 #s(literal 1 binary64) z (*.f64 z (/.f64 x (/.f64 z (log.f64 y)))))
(/.f64 (+.f64 (*.f64 z (*.f64 z z)) (pow.f64 (*.f64 z (/.f64 x (/.f64 z (log.f64 y)))) #s(literal 3 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 z (/.f64 x (/.f64 z (log.f64 y)))) (*.f64 z (/.f64 x (/.f64 z (log.f64 y))))) (*.f64 z (*.f64 z (/.f64 x (/.f64 z (log.f64 y))))))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z (/.f64 x (/.f64 z (log.f64 y)))) (*.f64 z (/.f64 x (/.f64 z (log.f64 y)))))) (-.f64 z (*.f64 z (/.f64 x (/.f64 z (log.f64 y))))))
(/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (/.f64 z (log.f64 y))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 z (log.f64 y))) (-.f64 (/.f64 x (/.f64 z (log.f64 y))) #s(literal 1 binary64)))))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (/.f64 z (log.f64 y))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (/.f64 z (log.f64 y))) #s(literal 3 binary64))) z) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 z (log.f64 y))) (-.f64 (/.f64 x (/.f64 z (log.f64 y))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (/.f64 z (log.f64 y))) #s(literal 2 binary64))) z) (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y)))) z)
(+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 (+.f64 t a) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) t) (+.f64 a (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) t) (+.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i)))
(+.f64 a (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) t) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t a)) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)))
(+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t a)) (*.f64 y i)))
(+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) (*.f64 y i))
(+.f64 (*.f64 y i) (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))))
(+.f64 (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)) (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t a)))
(+.f64 (+.f64 (*.f64 y i) (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) t)) (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))
(+.f64 (+.f64 (*.f64 y i) (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)))
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) t) (-.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i)))) (/.f64 (*.f64 y (*.f64 i (*.f64 y i))) (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) t) (-.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i)))))
(fma.f64 y i (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))))
(fma.f64 i y (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 (*.f64 y i) (-.f64 (*.f64 y i) (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)))))))) (+.f64 (*.f64 (*.f64 y i) (*.f64 y (*.f64 i (*.f64 y i)))) (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) t) (-.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i))) (-.f64 (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 y (*.f64 i (*.f64 y i))))))
(/.f64 (+.f64 (*.f64 (*.f64 y i) (*.f64 y (*.f64 i (*.f64 y i)))) (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 (*.f64 y i) (-.f64 (*.f64 y i) (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)))))))))
(/.f64 (+.f64 (*.f64 (*.f64 y i) (*.f64 y (*.f64 i (*.f64 y i)))) (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 3 binary64))) (+.f64 (*.f64 y (*.f64 i (*.f64 y i))) (-.f64 (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) (*.f64 y i)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 y (*.f64 i (*.f64 y i)))) (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) t) (-.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 y i) (*.f64 y (*.f64 i (*.f64 y i)))) (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 (*.f64 y i) (-.f64 (*.f64 y i) (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 y (*.f64 i (*.f64 y i))))) (neg.f64 (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) t) (-.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t a)) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t a)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))) (*.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t a)) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t a)) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)))) (-.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t a)) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(/.f64 (-.f64 (*.f64 y (*.f64 i (*.f64 y i))) (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64))) (-.f64 (*.f64 y i) (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 (*.f64 y i) (-.f64 (*.f64 y i) (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)))))))) (+.f64 (*.f64 (*.f64 y i) (*.f64 y (*.f64 i (*.f64 y i)))) (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) t) (-.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i))) (-.f64 (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 y (*.f64 i (*.f64 y i))))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 y i) (*.f64 y (*.f64 i (*.f64 y i)))) (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 (*.f64 y i) (-.f64 (*.f64 y i) (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 y (*.f64 i (*.f64 y i)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (log.f64 y))))) t) (-.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i)))))
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(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) t))) (*.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x t)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x t)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) x) (*.f64 (-.f64 #s(literal 0 binary64) x) t)) (*.f64 (-.f64 #s(literal 0 binary64) x) x))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) t))) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (+.f64 (*.f64 x t) (*.f64 z x))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 t x) (/.f64 (/.f64 t x) (/.f64 x t))) (*.f64 (/.f64 z x) (/.f64 z (*.f64 (/.f64 x z) x))))) (neg.f64 (+.f64 (/.f64 (/.f64 t x) (/.f64 x t)) (*.f64 (/.f64 z x) (-.f64 (/.f64 z x) (/.f64 t x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 t z)) (/.f64 (-.f64 t z) x))) (neg.f64 (/.f64 (-.f64 t z) x)))
(/.f64 (-.f64 (/.f64 z (*.f64 (/.f64 x z) x)) (/.f64 (/.f64 t x) (/.f64 x t))) (-.f64 (/.f64 z x) (/.f64 t x)))
(/.f64 (/.f64 (+.f64 (*.f64 x t) (*.f64 z x)) x) x)
(pow.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x t) (*.f64 z x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (/.f64 t x) (/.f64 x t)) (*.f64 (/.f64 z x) (-.f64 (/.f64 z x) (/.f64 t x)))) (+.f64 (*.f64 (/.f64 t x) (/.f64 (/.f64 t x) (/.f64 x t))) (*.f64 (/.f64 z x) (/.f64 z (*.f64 (/.f64 x z) x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 t z) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 t z)) (/.f64 (-.f64 t z) x))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x t) (*.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (+.f64 (*.f64 (/.f64 t x) (/.f64 (/.f64 t x) (/.f64 x t))) (*.f64 (/.f64 z x) (/.f64 z (*.f64 (/.f64 x z) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 t x) (/.f64 x t)) (*.f64 (/.f64 z x) (-.f64 (/.f64 z x) (/.f64 t x))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 t z))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 z t))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 t z)) (/.f64 (-.f64 t z) x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t z) x)))

simplify730.0ms (5.7%)

Algorithm
egg-herbie
Rules
6012×+-lowering-+.f64
6012×+-lowering-+.f32
3648×*-lowering-*.f32
3648×*-lowering-*.f64
1574×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074516739
1260815135
0832815135
Stop Event
iter limit
node limit
Counts
984 → 984
Calls
Call 1
Inputs
(* x (log y))
(+ z (* x (log y)))
(+ z (* x (log y)))
(+ z (* x (log y)))
z
(* z (+ 1 (/ (* x (log y)) z)))
(* z (+ 1 (/ (* x (log y)) z)))
(* z (+ 1 (/ (* x (log y)) z)))
z
(* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))
z
(+ z (* x (log y)))
(+ z (* x (log y)))
(+ z (* x (log y)))
(* x (log y))
(* x (+ (log y) (/ z x)))
(* x (+ (log y) (/ z x)))
(* x (+ (log y) (/ z x)))
(* x (log y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))
(* z (+ 1 (/ (* x (log y)) z)))
(* z (+ 1 (/ (* x (log y)) z)))
(* z (+ 1 (/ (* x (log y)) z)))
(* z (+ 1 (/ (* x (log y)) z)))
(* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z))))
(* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z))))
(* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z))))
(* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z))))
(* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)))
(* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)))
(* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)))
(* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)))
(+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
z
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))
z
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))
(+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(* x (log y))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))
(* x (log y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))
(+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))
(+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))
(* i y)
(* y (+ i (+ (/ a y) (+ (/ t y) (+ (/ (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z)))) y) (/ (* (log c) (- b 1/2)) y))))))
(* y (+ i (+ (/ a y) (+ (/ t y) (+ (/ (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z)))) y) (/ (* (log c) (- b 1/2)) y))))))
(* y (+ i (+ (/ a y) (+ (/ t y) (+ (/ (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z)))) y) (/ (* (log c) (- b 1/2)) y))))))
(* i y)
(* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) (* (log c) (- b 1/2))))) y)))))
(* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) (* (log c) (- b 1/2))))) y)))))
(* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) (* (log c) (- b 1/2))))) y)))))
(+ a (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))
(+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))
t
(* t (+ 1 (+ (/ a t) (+ (/ (* i y) t) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) t) (/ (* (log c) (- b 1/2)) t))))))
(* t (+ 1 (+ (/ a t) (+ (/ (* i y) t) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) t) (/ (* (log c) (- b 1/2)) t))))))
(* t (+ 1 (+ (/ a t) (+ (/ (* i y) t) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) t) (/ (* (log c) (- b 1/2)) t))))))
t
(* -1 (* t (- (* -1 (/ (+ a (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ a (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ a (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) t)) 1)))
(+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))
(+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))
a
(* a (+ 1 (+ (/ t a) (+ (/ (* i y) a) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) a) (/ (* (log c) (- b 1/2)) a))))))
(* a (+ 1 (+ (/ t a) (+ (/ (* i y) a) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) a) (/ (* (log c) (- b 1/2)) a))))))
(* a (+ 1 (+ (/ t a) (+ (/ (* i y) a) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) a) (/ (* (log c) (- b 1/2)) a))))))
a
(* -1 (* a (- (* -1 (/ (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) a)) 1)))
(+ a (+ t (+ (* -1/2 (log c)) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z)))))))
(+ a (+ t (+ (* -1/2 (log c)) (+ (* b (log c)) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z))))))))
(+ a (+ t (+ (* -1/2 (log c)) (+ (* b (log c)) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z))))))))
(+ a (+ t (+ (* -1/2 (log c)) (+ (* b (log c)) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z))))))))
(* b (log c))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ (* i y) b) (/ (* z (+ 1 (/ (* x (log y)) z))) b)))))))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ (* i y) b) (/ (* z (+ 1 (/ (* x (log y)) z))) b)))))))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ (* i y) b) (/ (* z (+ 1 (/ (* x (log y)) z))) b)))))))
(* b (log c))
(* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ (* -1/2 (log c)) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z))))))) b)))))
(* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ (* -1/2 (log c)) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z))))))) b)))))
(* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ (* -1/2 (log c)) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z))))))) b)))))
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(+ a (+ t (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (+ (* i y) (* z (+ 1 (/ (* x (log y)) z)))))))
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(+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))))))
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(+ a (+ t (+ (* i y) (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))))
(* i y)
(* i (+ y (+ (/ a i) (+ (/ t i) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) i) (/ (* (log c) (- b 1/2)) i))))))
(* i (+ y (+ (/ a i) (+ (/ t i) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) i) (/ (* (log c) (- b 1/2)) i))))))
(* i (+ y (+ (/ a i) (+ (/ t i) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) i) (/ (* (log c) (- b 1/2)) i))))))
(* i y)
(* -1 (* i (+ (* -1 y) (* -1 (/ (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) i)))))
(* -1 (* i (+ (* -1 y) (* -1 (/ (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) i)))))
(* -1 (* i (+ (* -1 y) (* -1 (/ (+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))) i)))))
(+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2)))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
z
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))
z
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))
(+ a (+ t (+ z (* (log c) (- b 1/2)))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(* x (log y))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))))
(* x (log y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)))))
(+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))
(+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))
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(+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))
(+ a (+ t (+ (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z)))) (* (log c) (- b 1/2)))))
(+ a (+ t (+ (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z)))) (* (log c) (- b 1/2)))))
(+ a (+ t (+ (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z)))) (* (log c) (- b 1/2)))))
(+ a (+ t (+ (* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z)))) (* (log c) (- b 1/2)))))
(+ a (+ t (+ (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) (* (log c) (- b 1/2)))))
(+ a (+ t (+ (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) (* (log c) (- b 1/2)))))
(+ a (+ t (+ (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) (* (log c) (- b 1/2)))))
(+ a (+ t (+ (* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) (* (log c) (- b 1/2)))))
(+ a (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))
(+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))
(+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))
(+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))
t
(* t (+ 1 (+ (/ a t) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) t) (/ (* (log c) (- b 1/2)) t)))))
(* t (+ 1 (+ (/ a t) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) t) (/ (* (log c) (- b 1/2)) t)))))
(* t (+ 1 (+ (/ a t) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) t) (/ (* (log c) (- b 1/2)) t)))))
t
(* -1 (* t (- (* -1 (/ (+ a (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ a (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ a (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))) t)) 1)))
(+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2))))
(+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))
(+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))
(+ a (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))))
a
(* a (+ 1 (+ (/ t a) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) a) (/ (* (log c) (- b 1/2)) a)))))
(* a (+ 1 (+ (/ t a) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) a) (/ (* (log c) (- b 1/2)) a)))))
(* a (+ 1 (+ (/ t a) (+ (/ (* z (+ 1 (/ (* x (log y)) z))) a) (/ (* (log c) (- b 1/2)) a)))))
a
(* -1 (* a (- (* -1 (/ (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ t (+ (* z (+ 1 (/ (* x (log y)) z))) (* (log c) (- b 1/2)))) a)) 1)))
(+ a (+ t (+ (* -1/2 (log c)) (* z (+ 1 (/ (* x (log y)) z))))))
(+ a (+ t (+ (* -1/2 (log c)) (+ (* b (log c)) (* z (+ 1 (/ (* x (log y)) z)))))))
(+ a (+ t (+ (* -1/2 (log c)) (+ (* b (log c)) (* z (+ 1 (/ (* x (log y)) z)))))))
(+ a (+ t (+ (* -1/2 (log c)) (+ (* b (log c)) (* z (+ 1 (/ (* x (log y)) z)))))))
(* b (log c))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (/ (* z (+ 1 (/ (* x (log y)) z))) b))))))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (/ (* z (+ 1 (/ (* x (log y)) z))) b))))))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (/ (* z (+ 1 (/ (* x (log y)) z))) b))))))
(* b (log c))
(* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ (* -1/2 (log c)) (* z (+ 1 (/ (* x (log y)) z)))))) b)))))
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(* -1 (* z (- (* -1 (/ (+ (log y) (+ (/ a x) (+ (/ t x) (/ (* (log c) (- b 1/2)) x)))) z)) (/ 1 x))))
(* -1 (* z (- (* -1 (/ (+ (log y) (+ (/ a x) (+ (/ t x) (/ (* (log c) (- b 1/2)) x)))) z)) (/ 1 x))))
(* -1 (* z (- (* -1 (/ (+ (log y) (+ (/ a x) (+ (/ t x) (/ (* (log c) (- b 1/2)) x)))) z)) (/ 1 x))))
(log y)
(log y)
(log y)
(log y)
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(/ (log y) z)
(/ (log y) z)
(/ (log y) z)
(/ (log y) z)
(* -1 (/ (log (/ 1 y)) z))
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(* -1 (/ (log (/ 1 y)) z))
(* -1 (/ (log (/ 1 y)) z))
(/ (+ (log -1) (* -1 (log (/ -1 y)))) z)
(/ (+ (log -1) (* -1 (log (/ -1 y)))) z)
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(/ (+ (log -1) (* -1 (log (/ -1 y)))) z)
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(/ (* x (log y)) z)
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(/ (* x (log y)) z)
(/ (* x (log y)) z)
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(* -1 (/ (* x (log (/ 1 y))) z))
(* -1 (/ (* x (log (/ 1 y))) z))
(* -1 (/ (* x (log (/ 1 y))) z))
(/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)
(/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)
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(/ (* x (log y)) z)
(+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x)))
(+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))
(+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))
(+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))
(/ a x)
(* a (+ (/ 1 x) (+ (/ t (* a x)) (+ (/ z (* a x)) (/ (* (log c) (- b 1/2)) (* a x))))))
(* a (+ (/ 1 x) (+ (/ t (* a x)) (+ (/ z (* a x)) (/ (* (log c) (- b 1/2)) (* a x))))))
(* a (+ (/ 1 x) (+ (/ t (* a x)) (+ (/ z (* a x)) (/ (* (log c) (- b 1/2)) (* a x))))))
(/ a x)
(* -1 (* a (- (* -1 (/ (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))) a)) (/ 1 x))))
(* -1 (* a (- (* -1 (/ (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))) a)) (/ 1 x))))
(* -1 (* a (- (* -1 (/ (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))) a)) (/ 1 x))))
(/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)
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(/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)
(/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)
(/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)
(/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)
(/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)
(/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)
(* -1 (/ (+ (* -1 a) (+ (* -1 t) (+ (* -1 z) (* -1 (* (log c) (- b 1/2)))))) x))
(* -1 (/ (+ (* -1 a) (+ (* -1 t) (+ (* -1 z) (* -1 (* (log c) (- b 1/2)))))) x))
(* -1 (/ (+ (* -1 a) (+ (* -1 t) (+ (* -1 z) (* -1 (* (log c) (- b 1/2)))))) x))
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(+ (* -1 (/ (* (log (/ 1 c)) (- b 1/2)) x)) (+ (/ a x) (+ (/ t x) (/ z x))))
(+ (* -1 (/ (* (log (/ 1 c)) (- b 1/2)) x)) (+ (/ a x) (+ (/ t x) (/ z x))))
(+ (* -1 (/ (* (log (/ 1 c)) (- b 1/2)) x)) (+ (/ a x) (+ (/ t x) (/ z x))))
(+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)) x))))
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(+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)) x))))
(+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)) x))))
(+ (* -1/2 (/ (log c) x)) (+ (/ a x) (+ (/ t x) (/ z x))))
(+ (* -1/2 (/ (log c) x)) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* b (log c)) x)))))
(+ (* -1/2 (/ (log c) x)) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* b (log c)) x)))))
(+ (* -1/2 (/ (log c) x)) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* b (log c)) x)))))
(/ (* b (log c)) x)
(* b (+ (* -1/2 (/ (log c) (* b x))) (+ (/ a (* b x)) (+ (/ t (* b x)) (+ (/ z (* b x)) (/ (log c) x))))))
(* b (+ (* -1/2 (/ (log c) (* b x))) (+ (/ a (* b x)) (+ (/ t (* b x)) (+ (/ z (* b x)) (/ (log c) x))))))
(* b (+ (* -1/2 (/ (log c) (* b x))) (+ (/ a (* b x)) (+ (/ t (* b x)) (+ (/ z (* b x)) (/ (log c) x))))))
(/ (* b (log c)) x)
(* -1 (* b (+ (* -1 (/ (log c) x)) (* -1 (/ (+ (* -1/2 (/ (log c) x)) (+ (/ a x) (+ (/ t x) (/ z x)))) b)))))
(* -1 (* b (+ (* -1 (/ (log c) x)) (* -1 (/ (+ (* -1/2 (/ (log c) x)) (+ (/ a x) (+ (/ t x) (/ z x)))) b)))))
(* -1 (* b (+ (* -1 (/ (log c) x)) (* -1 (/ (+ (* -1/2 (/ (log c) x)) (+ (/ a x) (+ (/ t x) (/ z x)))) b)))))
(+ (/ a x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x)))
(+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))
(+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))
(+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))
(/ t x)
(* t (+ (/ 1 x) (+ (/ a (* t x)) (+ (/ z (* t x)) (/ (* (log c) (- b 1/2)) (* t x))))))
(* t (+ (/ 1 x) (+ (/ a (* t x)) (+ (/ z (* t x)) (/ (* (log c) (- b 1/2)) (* t x))))))
(* t (+ (/ 1 x) (+ (/ a (* t x)) (+ (/ z (* t x)) (/ (* (log c) (- b 1/2)) (* t x))))))
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(* -1 (* t (- (* -1 (/ (+ (/ a x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))) t)) (/ 1 x))))
(* -1 (* t (- (* -1 (/ (+ (/ a x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))) t)) (/ 1 x))))
(* -1 (* t (- (* -1 (/ (+ (/ a x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))) t)) (/ 1 x))))
(+ (/ a x) (+ (/ t x) (/ (* (log c) (- b 1/2)) x)))
(+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))
(+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))
(+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))
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(* z (+ (/ 1 x) (+ (/ a (* x z)) (+ (/ t (* x z)) (/ (* (log c) (- b 1/2)) (* x z))))))
(* z (+ (/ 1 x) (+ (/ a (* x z)) (+ (/ t (* x z)) (/ (* (log c) (- b 1/2)) (* x z))))))
(* z (+ (/ 1 x) (+ (/ a (* x z)) (+ (/ t (* x z)) (/ (* (log c) (- b 1/2)) (* x z))))))
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(* -1 (* z (- (* -1 (/ (+ (/ a x) (+ (/ t x) (/ (* (log c) (- b 1/2)) x))) z)) (/ 1 x))))
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(* -1 (* z (- (* -1 (/ (+ (/ a x) (+ (/ t x) (/ (* (log c) (- b 1/2)) x))) z)) (/ 1 x))))
(+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x)))
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(+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x)))
(+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x)))
(+ (* -1 (/ (* (log (/ 1 c)) (- b 1/2)) x)) (+ (/ t x) (/ z x)))
(+ (* -1 (/ (* (log (/ 1 c)) (- b 1/2)) x)) (+ (/ t x) (/ z x)))
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(+ (* -1 (/ (* (log (/ 1 c)) (- b 1/2)) x)) (+ (/ t x) (/ z x)))
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(+ (/ t x) (+ (/ z x) (/ (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)) x)))
(+ (/ t x) (+ (/ z x) (/ (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)) x)))
(+ (/ t x) (+ (/ z x) (/ (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)) x)))
(+ (* -1/2 (/ (log c) x)) (+ (/ t x) (/ z x)))
(+ (* -1/2 (/ (log c) x)) (+ (/ t x) (+ (/ z x) (/ (* b (log c)) x))))
(+ (* -1/2 (/ (log c) x)) (+ (/ t x) (+ (/ z x) (/ (* b (log c)) x))))
(+ (* -1/2 (/ (log c) x)) (+ (/ t x) (+ (/ z x) (/ (* b (log c)) x))))
(/ (* b (log c)) x)
(* b (+ (* -1/2 (/ (log c) (* b x))) (+ (/ t (* b x)) (+ (/ z (* b x)) (/ (log c) x)))))
(* b (+ (* -1/2 (/ (log c) (* b x))) (+ (/ t (* b x)) (+ (/ z (* b x)) (/ (log c) x)))))
(* b (+ (* -1/2 (/ (log c) (* b x))) (+ (/ t (* b x)) (+ (/ z (* b x)) (/ (log c) x)))))
(/ (* b (log c)) x)
(* -1 (* b (+ (* -1 (/ (log c) x)) (* -1 (/ (+ (* -1/2 (/ (log c) x)) (+ (/ t x) (/ z x))) b)))))
(* -1 (* b (+ (* -1 (/ (log c) x)) (* -1 (/ (+ (* -1/2 (/ (log c) x)) (+ (/ t x) (/ z x))) b)))))
(* -1 (* b (+ (* -1 (/ (log c) x)) (* -1 (/ (+ (* -1/2 (/ (log c) x)) (+ (/ t x) (/ z x))) b)))))
(/ (+ t (+ z (* (log c) (- b 1/2)))) x)
(/ (+ t (+ z (* (log c) (- b 1/2)))) x)
(/ (+ t (+ z (* (log c) (- b 1/2)))) x)
(/ (+ t (+ z (* (log c) (- b 1/2)))) x)
(/ (+ t (+ z (* (log c) (- b 1/2)))) x)
(/ (+ t (+ z (* (log c) (- b 1/2)))) x)
(/ (+ t (+ z (* (log c) (- b 1/2)))) x)
(/ (+ t (+ z (* (log c) (- b 1/2)))) x)
(* -1 (/ (+ (* -1 t) (+ (* -1 z) (* -1 (* (log c) (- b 1/2))))) x))
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(+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x)))
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(/ t x)
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(* t (+ (/ 1 x) (+ (/ z (* t x)) (/ (* (log c) (- b 1/2)) (* t x)))))
(* t (+ (/ 1 x) (+ (/ z (* t x)) (/ (* (log c) (- b 1/2)) (* t x)))))
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(/ z x)
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(* -1 (* z (- (* -1 (/ (+ (/ t x) (/ (* (log c) (- b 1/2)) x)) z)) (/ 1 x))))
(/ z x)
(+ (/ t x) (/ z x))
(+ (/ t x) (/ z x))
(+ (/ t x) (/ z x))
(/ t x)
(* t (+ (/ 1 x) (/ z (* t x))))
(* t (+ (/ 1 x) (/ z (* t x))))
(* t (+ (/ 1 x) (/ z (* t x))))
(/ t x)
(* -1 (* t (- (* -1 (/ z (* t x))) (/ 1 x))))
(* -1 (* t (- (* -1 (/ z (* t x))) (/ 1 x))))
(* -1 (* t (- (* -1 (/ z (* t x))) (/ 1 x))))
(/ (+ t z) x)
(/ (+ t z) x)
(/ (+ t z) x)
(/ (+ t z) x)
(/ (+ t z) x)
(/ (+ t z) x)
(/ (+ t z) x)
(/ (+ t z) x)
(* -1 (/ (+ (* -1 t) (* -1 z)) x))
(* -1 (/ (+ (* -1 t) (* -1 z)) x))
(* -1 (/ (+ (* -1 t) (* -1 z)) x))
(* -1 (/ (+ (* -1 t) (* -1 z)) x))
(/ t x)
(+ (/ t x) (/ z x))
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(* -1 (* z (- (* -1 (/ t (* x z))) (/ 1 x))))
(* -1 (* z (- (* -1 (/ t (* x z))) (/ 1 x))))
Outputs
(* x (log y))
(*.f64 x (log.f64 y))
(+ z (* x (log y)))
(+.f64 (*.f64 x (log.f64 y)) z)
(+ z (* x (log y)))
(+.f64 (*.f64 x (log.f64 y)) z)
(+ z (* x (log y)))
(+.f64 (*.f64 x (log.f64 y)) z)
z
(* z (+ 1 (/ (* x (log y)) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (log.f64 y)) z)))
(* z (+ 1 (/ (* x (log y)) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (log.f64 y)) z)))
(* z (+ 1 (/ (* x (log y)) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (log.f64 y)) z)))
z
(* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))
(*.f64 (+.f64 (/.f64 (*.f64 x (log.f64 y)) (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))
(*.f64 (+.f64 (/.f64 (*.f64 x (log.f64 y)) (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1)))
(*.f64 (+.f64 (/.f64 (*.f64 x (log.f64 y)) (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
z
(+ z (* x (log y)))
(+.f64 (*.f64 x (log.f64 y)) z)
(+ z (* x (log y)))
(+.f64 (*.f64 x (log.f64 y)) z)
(+ z (* x (log y)))
(+.f64 (*.f64 x (log.f64 y)) z)
(* x (log y))
(*.f64 x (log.f64 y))
(* x (+ (log y) (/ z x)))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(* x (+ (log y) (/ z x)))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(* x (+ (log y) (/ z x)))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(* x (log y))
(*.f64 x (log.f64 y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 z x)) (neg.f64 x))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 z x)) (neg.f64 x))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 z x)) (neg.f64 x))
(* z (+ 1 (/ (* x (log y)) z)))
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(* z (+ 1 (/ (* x (log y)) z)))
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(* z (+ 1 (/ (* x (log y)) z)))
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(* z (+ 1 (/ (* x (log y)) z)))
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(* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z))))
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(* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z))))
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(* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (log.f64 y)) z)))
(* z (+ 1 (* -1 (/ (* x (log (/ 1 y))) z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (log.f64 y)) z)))
(* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) z)))
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(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) z)))
(* z (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) z)))
(+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+.f64 (+.f64 (+.f64 a (+.f64 (*.f64 x (log.f64 y)) t)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 y i))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+.f64 a (+.f64 (+.f64 (+.f64 (+.f64 z t) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y))) (*.f64 y i)))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+.f64 a (+.f64 (+.f64 (+.f64 (+.f64 z t) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y))) (*.f64 y i)))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+.f64 a (+.f64 (+.f64 (+.f64 (+.f64 z t) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y))) (*.f64 y i)))
z
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))
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(* -1 (/ (+ (* -1 t) (* -1 z)) x))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t) z) (neg.f64 x))
(* -1 (/ (+ (* -1 t) (* -1 z)) x))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t) z) (neg.f64 x))
(/ t x)
(/.f64 t x)
(+ (/ t x) (/ z x))
(+.f64 (/.f64 z x) (/.f64 t x))
(+ (/ t x) (/ z x))
(+.f64 (/.f64 z x) (/.f64 t x))
(+ (/ t x) (/ z x))
(+.f64 (/.f64 z x) (/.f64 t x))
(/ z x)
(/.f64 z x)
(* z (+ (/ 1 x) (/ t (* x z))))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 t (*.f64 x z))))
(* z (+ (/ 1 x) (/ t (* x z))))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 t (*.f64 x z))))
(* z (+ (/ 1 x) (/ t (* x z))))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 t (*.f64 x z))))
(/ z x)
(/.f64 z x)
(* -1 (* z (- (* -1 (/ t (* x z))) (/ 1 x))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (/.f64 (/.f64 t x) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) x)))
(* -1 (* z (- (* -1 (/ t (* x z))) (/ 1 x))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (/.f64 (/.f64 t x) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) x)))
(* -1 (* z (- (* -1 (/ t (* x z))) (/ 1 x))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (/.f64 (/.f64 t x) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) x)))

eval174.0ms (1.4%)

Compiler

Compiled 44497 to 2948 computations (93.4% saved)

prune219.0ms (1.7%)

Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New1453171470
Fresh71219
Picked325
Done000
Total1463311494
Accuracy
100.0%
Counts
1494 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.5%
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 (+.f64 (+.f64 z a) (+.f64 (*.f64 y i) (*.f64 (log.f64 c) #s(literal -1/2 binary64)))) (neg.f64 b)) (log.f64 c))))
35.3%
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 t z)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64))) x) (-.f64 (log.f64 y) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 t z)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))))) (*.f64 y i))
27.2%
(+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 t z)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 t z)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) (-.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 t z)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) (log.f64 y))))) (*.f64 y i))
93.9%
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z (/.f64 x (/.f64 z (log.f64 y)))) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
92.4%
(+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (log.f64 y) z)))) t) a) (*.f64 (log.f64 c) b)) (*.f64 y i))
87.1%
(+.f64 (+.f64 (+.f64 (+.f64 z t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
85.3%
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) b)) (*.f64 y i))
70.6%
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) #s(literal -1/2 binary64))) (*.f64 y i))
62.9%
(+.f64 (+.f64 (+.f64 t a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
75.1%
(+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y)))
62.3%
(+.f64 (+.f64 z a) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))))
42.5%
(+.f64 (*.f64 (log.f64 c) b) (*.f64 y i))
32.9%
(+.f64 (*.f64 x (/.f64 (*.f64 (log.f64 c) b) x)) (*.f64 y i))
38.3%
(+.f64 (*.f64 x (/.f64 z x)) (*.f64 y i))
37.4%
(+.f64 (*.f64 x (/.f64 a x)) (*.f64 y i))
50.9%
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 z x))) (*.f64 y i))
49.6%
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 a x))) (*.f64 y i))
28.3%
(+.f64 (*.f64 x (+.f64 (log.f64 y) (+.f64 (/.f64 a x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 x t) (*.f64 z x)) (/.f64 (/.f64 x (+.f64 b #s(literal -1/2 binary64))) (log.f64 c))) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 (/.f64 x (+.f64 b #s(literal -1/2 binary64))) (log.f64 c))))))) (*.f64 y i))
38.9%
(+.f64 (*.f64 x (log.f64 y)) (*.f64 y i))
49.7%
(+.f64 z (*.f64 y i))
45.5%
(+.f64 a (*.f64 y i))
18.1%
(*.f64 (log.f64 c) b)
63.1%
(*.f64 y (+.f64 (+.f64 i (+.f64 (/.f64 a y) (/.f64 z y))) (*.f64 (log.f64 c) (/.f64 (+.f64 b #s(literal -1/2 binary64)) y))))
69.3%
(*.f64 y (+.f64 i (+.f64 (*.f64 (log.f64 y) (/.f64 x y)) (+.f64 (+.f64 (/.f64 z y) (*.f64 (log.f64 c) (/.f64 (+.f64 b #s(literal -1/2 binary64)) y))) (+.f64 (/.f64 a y) (/.f64 t y))))))
26.6%
(*.f64 y i)
14.2%
(*.f64 x (log.f64 y))
62.6%
(*.f64 i (+.f64 (+.f64 y (/.f64 a i)) (+.f64 (*.f64 (log.f64 c) (/.f64 (+.f64 b #s(literal -1/2 binary64)) i)) (/.f64 z i))))
72.4%
(*.f64 i (+.f64 y (/.f64 (+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y))) i)))
71.1%
(*.f64 i (+.f64 y (+.f64 (+.f64 (*.f64 x (/.f64 (log.f64 y) i)) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (/.f64 (log.f64 c) i)) (/.f64 z i))) (+.f64 (/.f64 a i) (/.f64 t i)))))
25.1%
z
21.1%
a
Compiler

Compiled 1589 to 1010 computations (36.4% saved)

simplify273.0ms (2.1%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y)))
cost-diff0
(/.f64 (+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y))) i)
cost-diff0
(+.f64 y (/.f64 (+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y))) i))
cost-diff128
(*.f64 i (+.f64 y (/.f64 (+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y))) i)))
cost-diff0
(*.f64 (log.f64 c) b)
cost-diff0
(+.f64 z a)
cost-diff0
(+.f64 (+.f64 z a) (*.f64 (log.f64 c) b))
cost-diff0
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) b)) (*.f64 y i))
cost-diff0
(*.f64 y i)
cost-diff0
(log.f64 y)
cost-diff0
(*.f64 x (log.f64 y))
cost-diff0
(+.f64 (*.f64 x (log.f64 y)) (*.f64 y i))
cost-diff0
(+.f64 (+.f64 (+.f64 (*.f64 z (/.f64 x (/.f64 z (log.f64 y)))) z) t) a)
cost-diff0
(+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z (/.f64 x (/.f64 z (log.f64 y)))) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c)))
cost-diff0
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z (/.f64 x (/.f64 z (log.f64 y)))) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
cost-diff256
(*.f64 z (/.f64 x (/.f64 z (log.f64 y))))
Rules
3556×+-lowering-+.f64
3556×+-lowering-+.f32
3058×*-lowering-*.f32
3058×*-lowering-*.f64
2136×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038304
1108293
2416292
31890273
42962253
53842253
64628253
76133253
86201253
96210253
106216253
116218253
128000253
09143253
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (+ (+ (+ (+ (* z (/ x (/ z (log y)))) z) t) a) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (+ (* z (/ x (/ z (log y)))) z) t) a) (* (- b 1/2) (log c)))
(+ (+ (+ (* z (/ x (/ z (log y)))) z) t) a)
(+ (+ (* z (/ x (/ z (log y)))) z) t)
(+ (* z (/ x (/ z (log y)))) z)
(* z (/ x (/ z (log y))))
z
(/ x (/ z (log y)))
x
(/ z (log y))
(log y)
y
t
a
(* (- b 1/2) (log c))
(- b 1/2)
b
1/2
(log c)
c
(* y i)
i
z
(+ (* x (log y)) (* y i))
(* x (log y))
x
(log y)
y
(* y i)
i
(+ (+ (+ z a) (* (log c) b)) (* y i))
(+ (+ z a) (* (log c) b))
(+ z a)
z
a
(* (log c) b)
(log c)
c
b
(* y i)
y
i
(* i (+ y (/ (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y))) i)))
i
(+ y (/ (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y))) i))
y
(/ (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y))) i)
(+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y)))
(+ (+ a (+ t z)) (* (log c) (+ b -1/2)))
(+ a (+ t z))
a
(+ t z)
t
z
(* (log c) (+ b -1/2))
(log c)
c
(+ b -1/2)
b
-1/2
(* x (log y))
x
(log y)
Outputs
(+ (+ (+ (+ (+ (* z (/ x (/ z (log y)))) z) t) a) (* (- b 1/2) (log c))) (* y i))
(+.f64 (+.f64 z (*.f64 x (log.f64 y))) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 (*.f64 y i) (+.f64 t a))))
(+ (+ (+ (+ (* z (/ x (/ z (log y)))) z) t) a) (* (- b 1/2) (log c)))
(+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 t (+.f64 z a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)))
(+ (+ (+ (* z (/ x (/ z (log y)))) z) t) a)
(+.f64 (*.f64 x (log.f64 y)) (+.f64 t (+.f64 z a)))
(+ (+ (* z (/ x (/ z (log y)))) z) t)
(+.f64 z (+.f64 (*.f64 x (log.f64 y)) t))
(+ (* z (/ x (/ z (log y)))) z)
(+.f64 z (*.f64 x (log.f64 y)))
(* z (/ x (/ z (log y))))
(*.f64 x (log.f64 y))
z
(/ x (/ z (log y)))
(/.f64 x (/.f64 z (log.f64 y)))
x
(/ z (log y))
(/.f64 z (log.f64 y))
(log y)
(log.f64 y)
y
t
a
(* (- b 1/2) (log c))
(*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))
(- b 1/2)
(+.f64 b #s(literal -1/2 binary64))
b
1/2
#s(literal 1/2 binary64)
(log c)
(log.f64 c)
c
(* y i)
(*.f64 y i)
i
z
(+ (* x (log y)) (* y i))
(+.f64 (*.f64 x (log.f64 y)) (*.f64 y i))
(* x (log y))
(*.f64 x (log.f64 y))
x
(log y)
(log.f64 y)
y
(* y i)
(*.f64 y i)
i
(+ (+ (+ z a) (* (log c) b)) (* y i))
(+.f64 (*.f64 y i) (+.f64 (+.f64 z a) (*.f64 b (log.f64 c))))
(+ (+ z a) (* (log c) b))
(+.f64 (+.f64 z a) (*.f64 b (log.f64 c)))
(+ z a)
(+.f64 z a)
z
a
(* (log c) b)
(*.f64 b (log.f64 c))
(log c)
(log.f64 c)
c
b
(* y i)
(*.f64 y i)
y
i
(* i (+ y (/ (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y))) i)))
(+.f64 (+.f64 z (*.f64 x (log.f64 y))) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 (*.f64 y i) (+.f64 t a))))
i
(+ y (/ (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y))) i))
(+.f64 y (/.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 t (+.f64 z a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) i))
y
(/ (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y))) i)
(/.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 t (+.f64 z a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) i)
(+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y)))
(+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 t (+.f64 z a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)))
(+ (+ a (+ t z)) (* (log c) (+ b -1/2)))
(+.f64 z (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 t a)))
(+ a (+ t z))
(+.f64 t (+.f64 z a))
a
(+ t z)
(+.f64 z t)
t
z
(* (log c) (+ b -1/2))
(*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))
(log c)
(log.f64 c)
c
(+ b -1/2)
(+.f64 b #s(literal -1/2 binary64))
b
-1/2
#s(literal -1/2 binary64)
(* x (log y))
(*.f64 x (log.f64 y))
x
(log y)
(log.f64 y)

localize310.0ms (2.4%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))
accuracy99.6%
(*.f64 x (log.f64 y))
accuracy99.5%
(/.f64 (+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y))) i)
accuracy72.5%
(*.f64 i (+.f64 y (/.f64 (+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y))) i)))
accuracy100.0%
(log.f64 c)
accuracy100.0%
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) b)) (*.f64 y i))
accuracy100.0%
(+.f64 (+.f64 z a) (*.f64 (log.f64 c) b))
accuracy99.6%
(*.f64 (log.f64 c) b)
accuracy100.0%
(*.f64 y i)
accuracy100.0%
(log.f64 y)
accuracy100.0%
(+.f64 (*.f64 x (log.f64 y)) (*.f64 y i))
accuracy99.6%
(*.f64 x (log.f64 y))
accuracy99.8%
(*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))
accuracy99.7%
(/.f64 x (/.f64 z (log.f64 y)))
accuracy99.6%
(/.f64 z (log.f64 y))
accuracy77.1%
(*.f64 z (/.f64 x (/.f64 z (log.f64 y))))
Results
188.0ms256×0valid
Compiler

Compiled 319 to 39 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-add: 18.0ms (38.8% of total)
ival-mult: 12.0ms (25.9% of total)
ival-log: 9.0ms (19.4% of total)
ival-div: 6.0ms (12.9% of total)
ival-sub: 1.0ms (2.2% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series81.0ms (0.6%)

Counts
21 → 1032
Calls
Call 1
Inputs
#<alt (* z (/ x (/ z (log y))))>
#<alt (+ (+ (+ (+ (+ (* z (/ x (/ z (log y)))) z) t) a) (* (- b 1/2) (log c))) (* y i))>
#<alt (+ (+ (+ (+ (* z (/ x (/ z (log y)))) z) t) a) (* (- b 1/2) (log c)))>
#<alt (+ (+ (+ (* z (/ x (/ z (log y)))) z) t) a)>
#<alt (+ (* x (log y)) (* y i))>
#<alt (* x (log y))>
#<alt (log y)>
#<alt (* y i)>
#<alt (+ (+ (+ z a) (* (log c) b)) (* y i))>
#<alt (+ (+ z a) (* (log c) b))>
#<alt (+ z a)>
#<alt (* (log c) b)>
#<alt (* i (+ y (/ (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y))) i)))>
#<alt (+ y (/ (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y))) i))>
#<alt (/ (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y))) i)>
#<alt (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y)))>
#<alt (/ z (log y))>
#<alt (/ x (/ z (log y)))>
#<alt (* (- b 1/2) (log c))>
#<alt (log c)>
#<alt (* (log c) (+ b -1/2))>
Outputs
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* -1 (* x (log (/ 1 y))))>
#<alt (* -1 (* x (log (/ 1 y))))>
#<alt (* -1 (* x (log (/ 1 y))))>
#<alt (* -1 (* x (log (/ 1 y))))>
#<alt (* x (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* x (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* x (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* x (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt z>
#<alt (* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))>
#<alt (* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))>
#<alt (* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))>
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#<alt (* -1 (* b (+ (* -1 (/ (log c) i)) (* -1 (/ (+ (* -1/2 (/ (log c) i)) (+ (/ a i) (+ (/ t i) (+ (/ z i) (/ (* x (log y)) i))))) b)))))>
#<alt (* -1 (* b (+ (* -1 (/ (log c) i)) (* -1 (/ (+ (* -1/2 (/ (log c) i)) (+ (/ a i) (+ (/ t i) (+ (/ z i) (/ (* x (log y)) i))))) b)))))>
#<alt (* -1 (* b (+ (* -1 (/ (log c) i)) (* -1 (/ (+ (* -1/2 (/ (log c) i)) (+ (/ a i) (+ (/ t i) (+ (/ z i) (/ (* x (log y)) i))))) b)))))>
#<alt (/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) i)>
#<alt (+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))))>
#<alt (+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))))>
#<alt (+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))))>
#<alt (/ (* x (log y)) i)>
#<alt (* x (+ (/ a (* i x)) (+ (/ t (* i x)) (+ (/ z (* i x)) (+ (/ (log y) i) (/ (* (log c) (- b 1/2)) (* i x)))))))>
#<alt (* x (+ (/ a (* i x)) (+ (/ t (* i x)) (+ (/ z (* i x)) (+ (/ (log y) i) (/ (* (log c) (- b 1/2)) (* i x)))))))>
#<alt (* x (+ (/ a (* i x)) (+ (/ t (* i x)) (+ (/ z (* i x)) (+ (/ (log y) i) (/ (* (log c) (- b 1/2)) (* i x)))))))>
#<alt (/ (* x (log y)) i)>
#<alt (* -1 (* x (+ (* -1 (/ (log y) i)) (* -1 (/ (+ (/ a i) (+ (/ t i) (+ (/ z i) (/ (* (log c) (- b 1/2)) i)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (log y) i)) (* -1 (/ (+ (/ a i) (+ (/ t i) (+ (/ z i) (/ (* (log c) (- b 1/2)) i)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (log y) i)) (* -1 (/ (+ (/ a i) (+ (/ t i) (+ (/ z i) (/ (* (log c) (- b 1/2)) i)))) x)))))>
#<alt (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)>
#<alt (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)>
#<alt (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt a>
#<alt (* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a))))))>
#<alt (* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a))))))>
#<alt (* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a))))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) a)) 1)))>
#<alt (+ a (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt t>
#<alt (* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t))))))>
#<alt (* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t))))))>
#<alt (* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t))))))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) t)) 1)))>
#<alt (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt z>
#<alt (* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))>
#<alt (* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))>
#<alt (* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (* x (log y))))))>
#<alt (+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (* x (log y))))))>
#<alt (+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (* x (log y))))))>
#<alt (+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (* x (log y))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* -1/2 (log c)) (* x (log y))))))>
#<alt (+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (* x (log y)))))))>
#<alt (+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (* x (log y)))))))>
#<alt (+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (* x (log y)))))))>
#<alt (* b (log c))>
#<alt (* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (/ (* x (log y)) b)))))))>
#<alt (* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (/ (* x (log y)) b)))))))>
#<alt (* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (/ (* x (log y)) b)))))))>
#<alt (* b (log c))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (* x (log y)))))) b)))))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (* x (log y)))))) b)))))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (* x (log y)))))) b)))))>
#<alt (+ a (+ t (+ z (* (log c) (- b 1/2)))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (* x (log y))>
#<alt (* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))))>
#<alt (* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))))>
#<alt (* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))))>
#<alt (* x (log y))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)))))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)))))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2))))))>
#<alt (/ z (log y))>
#<alt (/ z (log y))>
#<alt (/ z (log y))>
#<alt (/ z (log y))>
#<alt (/ z (log y))>
#<alt (/ z (log y))>
#<alt (/ z (log y))>
#<alt (/ z (log y))>
#<alt (/ z (log y))>
#<alt (/ z (log y))>
#<alt (/ z (log y))>
#<alt (/ z (log y))>
#<alt (/ z (log y))>
#<alt (/ z (log y))>
#<alt (/ z (log y))>
#<alt (/ z (log y))>
#<alt (* -1 (/ z (log (/ 1 y))))>
#<alt (* -1 (/ z (log (/ 1 y))))>
#<alt (* -1 (/ z (log (/ 1 y))))>
#<alt (* -1 (/ z (log (/ 1 y))))>
#<alt (/ z (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (/ z (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (/ z (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (/ z (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (/ (* x (log y)) z)>
#<alt (* -1 (/ (* x (log (/ 1 y))) z))>
#<alt (* -1 (/ (* x (log (/ 1 y))) z))>
#<alt (* -1 (/ (* x (log (/ 1 y))) z))>
#<alt (* -1 (/ (* x (log (/ 1 y))) z))>
#<alt (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)>
#<alt (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)>
#<alt (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)>
#<alt (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)>
#<alt (* -1/2 (log c))>
#<alt (+ (* -1/2 (log c)) (* b (log c)))>
#<alt (+ (* -1/2 (log c)) (* b (log c)))>
#<alt (+ (* -1/2 (log c)) (* b (log c)))>
#<alt (* b (log c))>
#<alt (* b (+ (log c) (* -1/2 (/ (log c) b))))>
#<alt (* b (+ (log c) (* -1/2 (/ (log c) b))))>
#<alt (* b (+ (log c) (* -1/2 (/ (log c) b))))>
#<alt (* b (log c))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))>
#<alt (* (log c) (- b 1/2))>
#<alt (* (log c) (- b 1/2))>
#<alt (* (log c) (- b 1/2))>
#<alt (* (log c) (- b 1/2))>
#<alt (* -1 (* (log (/ 1 c)) (- b 1/2)))>
#<alt (* -1 (* (log (/ 1 c)) (- b 1/2)))>
#<alt (* -1 (* (log (/ 1 c)) (- b 1/2)))>
#<alt (* -1 (* (log (/ 1 c)) (- b 1/2)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))>
#<alt (log c)>
#<alt (log c)>
#<alt (log c)>
#<alt (log c)>
#<alt (* -1 (log (/ 1 c)))>
#<alt (* -1 (log (/ 1 c)))>
#<alt (* -1 (log (/ 1 c)))>
#<alt (* -1 (log (/ 1 c)))>
#<alt (+ (log -1) (* -1 (log (/ -1 c))))>
#<alt (+ (log -1) (* -1 (log (/ -1 c))))>
#<alt (+ (log -1) (* -1 (log (/ -1 c))))>
#<alt (+ (log -1) (* -1 (log (/ -1 c))))>
#<alt (* (log c) (- b 1/2))>
#<alt (* (log c) (- b 1/2))>
#<alt (* (log c) (- b 1/2))>
#<alt (* (log c) (- b 1/2))>
#<alt (* -1 (* (log (/ 1 c)) (- b 1/2)))>
#<alt (* -1 (* (log (/ 1 c)) (- b 1/2)))>
#<alt (* -1 (* (log (/ 1 c)) (- b 1/2)))>
#<alt (* -1 (* (log (/ 1 c)) (- b 1/2)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))>
#<alt (* -1/2 (log c))>
#<alt (+ (* -1/2 (log c)) (* b (log c)))>
#<alt (+ (* -1/2 (log c)) (* b (log c)))>
#<alt (+ (* -1/2 (log c)) (* b (log c)))>
#<alt (* b (log c))>
#<alt (* b (+ (log c) (* -1/2 (/ (log c) b))))>
#<alt (* b (+ (log c) (* -1/2 (/ (log c) b))))>
#<alt (* b (+ (log c) (* -1/2 (/ (log c) b))))>
#<alt (* b (log c))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))>
Calls

258 calls:

TimeVariablePointExpression
11.0ms
i
@0
(/ (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y))) i)
4.0ms
i
@inf
(/ (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y))) i)
3.0ms
b
@0
(* i (+ y (/ (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y))) i)))
2.0ms
i
@0
(* i (+ y (/ (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y))) i)))
2.0ms
z
@inf
(* i (+ y (/ (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y))) i)))

rewrite276.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
2052×*-lowering-*.f32
2052×*-lowering-*.f64
1744×sum3-define
1452×+-lowering-+.f64
1452×+-lowering-+.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038202
1312191
23451191
08017191
Stop Event
iter limit
node limit
Counts
21 → 338
Calls
Call 1
Inputs
(* z (/ x (/ z (log y))))
(+ (+ (+ (+ (+ (* z (/ x (/ z (log y)))) z) t) a) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (+ (* z (/ x (/ z (log y)))) z) t) a) (* (- b 1/2) (log c)))
(+ (+ (+ (* z (/ x (/ z (log y)))) z) t) a)
(+ (* x (log y)) (* y i))
(* x (log y))
(log y)
(* y i)
(+ (+ (+ z a) (* (log c) b)) (* y i))
(+ (+ z a) (* (log c) b))
(+ z a)
(* (log c) b)
(* i (+ y (/ (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y))) i)))
(+ y (/ (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y))) i))
(/ (+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y))) i)
(+ (+ (+ a (+ t z)) (* (log c) (+ b -1/2))) (* x (log y)))
(/ z (log y))
(/ x (/ z (log y)))
(* (- b 1/2) (log c))
(log c)
(* (log c) (+ b -1/2))
Outputs
(/.f64 z (/.f64 z (*.f64 x (log.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (log.f64 y)) (*.f64 z x)))
(/.f64 (*.f64 z x) (/.f64 z (log.f64 y)))
(/.f64 (neg.f64 (*.f64 z x)) (/.f64 z (-.f64 #s(literal 0 binary64) (log.f64 y))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 z (*.f64 x (log.f64 y))))
(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 z (-.f64 #s(literal 0 binary64) (log.f64 y))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) z) (/.f64 z (-.f64 #s(literal 0 binary64) (log.f64 y))))
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 z (*.f64 x (log.f64 y))))
(/.f64 (/.f64 (*.f64 z x) z) (/.f64 #s(literal 1 binary64) (log.f64 y)))
(pow.f64 (/.f64 (/.f64 z (log.f64 y)) (*.f64 z x)) #s(literal -1 binary64))
(*.f64 z (*.f64 (log.f64 y) (/.f64 x z)))
(*.f64 x (*.f64 (/.f64 (log.f64 y) z) z))
(*.f64 (*.f64 (log.f64 y) (/.f64 x z)) z)
(*.f64 (*.f64 z x) (/.f64 (log.f64 y) z))
(*.f64 (/.f64 x z) (*.f64 (log.f64 y) z))
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(*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 a (+.f64 z t))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (-.f64 (+.f64 a (+.f64 z t)) (*.f64 x (log.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 y) z)) #s(literal -1 binary64)))
(neg.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (log.f64 y))))
(/.f64 z (log.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (log.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 y) z) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 y) z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (log.f64 y))
(pow.f64 (/.f64 z (log.f64 y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (log.f64 y) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (log.f64 y) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) (log.f64 y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 y))))
(*.f64 #s(literal 1 binary64) (/.f64 z (log.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) z)
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x (log.f64 y)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) (log.f64 y)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (log.f64 y))))
(/.f64 x (/.f64 z (log.f64 y)))
(/.f64 (*.f64 x (log.f64 y)) z)
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) (log.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (log.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x (log.f64 y))) #s(literal 1 binary64)))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (log.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 x (log.f64 y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 z (log.f64 y)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 z (log.f64 y)))
(pow.f64 (/.f64 z (*.f64 x (log.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z (*.f64 x (log.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 (log.f64 y) z))
(*.f64 (log.f64 y) (/.f64 x z))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (log.f64 y)))))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 x z)))
(*.f64 (/.f64 (log.f64 y) z) x)
(*.f64 (/.f64 x z) (log.f64 y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (log.f64 y)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (log.f64 y) z))
(+.f64 (*.f64 b (log.f64 c)) (*.f64 (log.f64 c) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (log.f64 c) #s(literal -1/2 binary64)) (*.f64 b (log.f64 c)))
(fma.f64 b (log.f64 c) (*.f64 (log.f64 c) #s(literal -1/2 binary64)))
(fma.f64 (log.f64 c) b (*.f64 (log.f64 c) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 b (log.f64 c)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 c) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 b (log.f64 c)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (log.f64 c) #s(literal -1/2 binary64)) (*.f64 (log.f64 c) #s(literal -1/2 binary64))) (*.f64 (*.f64 b (log.f64 c)) (*.f64 (log.f64 c) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 b (log.f64 c)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 c) #s(literal -1/2 binary64)) (*.f64 (log.f64 c) #s(literal -1/2 binary64)))) (-.f64 (*.f64 b (log.f64 c)) (*.f64 (log.f64 c) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (log.f64 c) (+.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64))) (+.f64 (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (log.f64 c) (+.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64))) (+.f64 (*.f64 b b) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (log.f64 c) (+.f64 (*.f64 b b) #s(literal -1/4 binary64))) (+.f64 b #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (log.f64 c)) (+.f64 (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (log.f64 c)) (+.f64 (*.f64 b b) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 b b) #s(literal -1/4 binary64)) (log.f64 c)) (+.f64 b #s(literal 1/2 binary64)))
(*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))
(*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))
(log.f64 c)
(+.f64 (*.f64 b (log.f64 c)) (*.f64 (log.f64 c) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (log.f64 c) #s(literal -1/2 binary64)) (*.f64 b (log.f64 c)))
(fma.f64 b (log.f64 c) (*.f64 (log.f64 c) #s(literal -1/2 binary64)))
(fma.f64 (log.f64 c) b (*.f64 (log.f64 c) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 b (log.f64 c)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 c) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 b (log.f64 c)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (log.f64 c) #s(literal -1/2 binary64)) (*.f64 (log.f64 c) #s(literal -1/2 binary64))) (*.f64 (*.f64 b (log.f64 c)) (*.f64 (log.f64 c) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 b (log.f64 c)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 c) #s(literal -1/2 binary64)) (*.f64 (log.f64 c) #s(literal -1/2 binary64)))) (-.f64 (*.f64 b (log.f64 c)) (*.f64 (log.f64 c) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (log.f64 c) (+.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64))) (+.f64 (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (log.f64 c) (+.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64))) (+.f64 (*.f64 b b) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (log.f64 c) (+.f64 (*.f64 b b) #s(literal -1/4 binary64))) (+.f64 b #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (log.f64 c)) (+.f64 (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (log.f64 c)) (+.f64 (*.f64 b b) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 b b) #s(literal -1/4 binary64)) (log.f64 c)) (+.f64 b #s(literal 1/2 binary64)))
(*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))
(*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))

simplify516.0ms (4.1%)

Algorithm
egg-herbie
Rules
6304×+-lowering-+.f64
6304×+-lowering-+.f32
3578×*-lowering-*.f32
3578×*-lowering-*.f64
1752×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072516566
1251214856
0844614856
Stop Event
iter limit
node limit
Counts
1032 → 1032
Calls
Call 1
Inputs
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* -1 (* x (log (/ 1 y))))
(* -1 (* x (log (/ 1 y))))
(* -1 (* x (log (/ 1 y))))
(* -1 (* x (log (/ 1 y))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
z
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))
z
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))
(+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(* x (log y))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))
(* x (log y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(* i y)
(* y (+ i (+ (* -1 (/ (* x (log (/ 1 y))) y)) (+ (/ a y) (+ (/ t y) (+ (/ z y) (/ (* (log c) (- b 1/2)) y)))))))
(* y (+ i (+ (* -1 (/ (* x (log (/ 1 y))) y)) (+ (/ a y) (+ (/ t y) (+ (/ z y) (/ (* (log c) (- b 1/2)) y)))))))
(* y (+ i (+ (* -1 (/ (* x (log (/ 1 y))) y)) (+ (/ a y) (+ (/ t y) (+ (/ z y) (/ (* (log c) (- b 1/2)) y)))))))
(* i y)
(* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) y)))))
(* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) y)))))
(* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) y)))))
(+ a (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
t
(* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* i y) t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t)))))))
(* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* i y) t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t)))))))
(* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* i y) t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t)))))))
t
(* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) t)) 1)))
(+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
a
(* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* i y) a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a)))))))
(* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* i y) a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a)))))))
(* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* i y) a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a)))))))
a
(* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) a)) 1)))
(+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* i y) (* x (log y)))))))
(+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (+ (* i y) (* x (log y))))))))
(+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (+ (* i y) (* x (log y))))))))
(+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (+ (* i y) (* x (log y))))))))
(* b (log c))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (+ (/ (* i y) b) (/ (* x (log y)) b))))))))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (+ (/ (* i y) b) (/ (* x (log y)) b))))))))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (+ (/ (* i y) b) (/ (* x (log y)) b))))))))
(* b (log c))
(* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* i y) (* x (log y))))))) b)))))
(* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* i y) (* x (log y))))))) b)))))
(* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* i y) (* x (log y))))))) b)))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (+ (* i y) (* x (log y)))))))
(+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (+ (* i y) (* x (log y)))))))
(+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (+ (* i y) (* x (log y)))))))
(+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (+ (* i y) (* x (log y)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(* i y)
(* i (+ y (+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))))))
(* i (+ y (+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))))))
(* i (+ y (+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))))))
(* i y)
(* -1 (* i (+ (* -1 y) (* -1 (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)))))
(* -1 (* i (+ (* -1 y) (* -1 (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)))))
(* -1 (* i (+ (* -1 y) (* -1 (/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)))))
(+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2)))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
z
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))
z
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))
(+ a (+ t (+ z (* (log c) (- b 1/2)))))
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(+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))))
(+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))))
(/ t i)
(* t (+ (/ 1 i) (+ (/ a (* i t)) (+ (/ z (* i t)) (+ (/ (* x (log y)) (* i t)) (/ (* (log c) (- b 1/2)) (* i t)))))))
(* t (+ (/ 1 i) (+ (/ a (* i t)) (+ (/ z (* i t)) (+ (/ (* x (log y)) (* i t)) (/ (* (log c) (- b 1/2)) (* i t)))))))
(* t (+ (/ 1 i) (+ (/ a (* i t)) (+ (/ z (* i t)) (+ (/ (* x (log y)) (* i t)) (/ (* (log c) (- b 1/2)) (* i t)))))))
(/ t i)
(* -1 (* t (- (* -1 (/ (+ (/ a i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))) t)) (/ 1 i))))
(* -1 (* t (- (* -1 (/ (+ (/ a i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))) t)) (/ 1 i))))
(* -1 (* t (- (* -1 (/ (+ (/ a i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))) t)) (/ 1 i))))
(/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) i)
(+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))))
(+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))))
(+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))))
(/ z i)
(* z (+ (/ 1 i) (+ (/ a (* i z)) (+ (/ t (* i z)) (+ (/ (* x (log y)) (* i z)) (/ (* (log c) (- b 1/2)) (* i z)))))))
(* z (+ (/ 1 i) (+ (/ a (* i z)) (+ (/ t (* i z)) (+ (/ (* x (log y)) (* i z)) (/ (* (log c) (- b 1/2)) (* i z)))))))
(* z (+ (/ 1 i) (+ (/ a (* i z)) (+ (/ t (* i z)) (+ (/ (* x (log y)) (* i z)) (/ (* (log c) (- b 1/2)) (* i z)))))))
(/ z i)
(* -1 (* z (- (* -1 (/ (+ (/ a i) (+ (/ t i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))) z)) (/ 1 i))))
(* -1 (* z (- (* -1 (/ (+ (/ a i) (+ (/ t i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))) z)) (/ 1 i))))
(* -1 (* z (- (* -1 (/ (+ (/ a i) (+ (/ t i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))) z)) (/ 1 i))))
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (* x (log y)))))) i)
(/ (+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (* x (log y)))))) i)
(/ (+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (* x (log y)))))) i)
(/ (+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (* x (log y)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (* x (log y)))))) i)
(+ (* -1/2 (/ (log c) i)) (+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* b (log c)) i) (/ (* x (log y)) i))))))
(+ (* -1/2 (/ (log c) i)) (+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* b (log c)) i) (/ (* x (log y)) i))))))
(+ (* -1/2 (/ (log c) i)) (+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* b (log c)) i) (/ (* x (log y)) i))))))
(/ (* b (log c)) i)
(* b (+ (* -1/2 (/ (log c) (* b i))) (+ (/ a (* b i)) (+ (/ t (* b i)) (+ (/ z (* b i)) (+ (/ (log c) i) (/ (* x (log y)) (* b i))))))))
(* b (+ (* -1/2 (/ (log c) (* b i))) (+ (/ a (* b i)) (+ (/ t (* b i)) (+ (/ z (* b i)) (+ (/ (log c) i) (/ (* x (log y)) (* b i))))))))
(* b (+ (* -1/2 (/ (log c) (* b i))) (+ (/ a (* b i)) (+ (/ t (* b i)) (+ (/ z (* b i)) (+ (/ (log c) i) (/ (* x (log y)) (* b i))))))))
(/ (* b (log c)) i)
(* -1 (* b (+ (* -1 (/ (log c) i)) (* -1 (/ (+ (* -1/2 (/ (log c) i)) (+ (/ a i) (+ (/ t i) (+ (/ z i) (/ (* x (log y)) i))))) b)))))
(* -1 (* b (+ (* -1 (/ (log c) i)) (* -1 (/ (+ (* -1/2 (/ (log c) i)) (+ (/ a i) (+ (/ t i) (+ (/ z i) (/ (* x (log y)) i))))) b)))))
(* -1 (* b (+ (* -1 (/ (log c) i)) (* -1 (/ (+ (* -1/2 (/ (log c) i)) (+ (/ a i) (+ (/ t i) (+ (/ z i) (/ (* x (log y)) i))))) b)))))
(/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) i)
(+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))))
(+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))))
(+ (/ a i) (+ (/ t i) (+ (/ z i) (+ (/ (* x (log y)) i) (/ (* (log c) (- b 1/2)) i)))))
(/ (* x (log y)) i)
(* x (+ (/ a (* i x)) (+ (/ t (* i x)) (+ (/ z (* i x)) (+ (/ (log y) i) (/ (* (log c) (- b 1/2)) (* i x)))))))
(* x (+ (/ a (* i x)) (+ (/ t (* i x)) (+ (/ z (* i x)) (+ (/ (log y) i) (/ (* (log c) (- b 1/2)) (* i x)))))))
(* x (+ (/ a (* i x)) (+ (/ t (* i x)) (+ (/ z (* i x)) (+ (/ (log y) i) (/ (* (log c) (- b 1/2)) (* i x)))))))
(/ (* x (log y)) i)
(* -1 (* x (+ (* -1 (/ (log y) i)) (* -1 (/ (+ (/ a i) (+ (/ t i) (+ (/ z i) (/ (* (log c) (- b 1/2)) i)))) x)))))
(* -1 (* x (+ (* -1 (/ (log y) i)) (* -1 (/ (+ (/ a i) (+ (/ t i) (+ (/ z i) (/ (* (log c) (- b 1/2)) i)))) x)))))
(* -1 (* x (+ (* -1 (/ (log y) i)) (* -1 (/ (+ (/ a i) (+ (/ t i) (+ (/ z i) (/ (* (log c) (- b 1/2)) i)))) x)))))
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(/ (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))) i)
(+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
a
(* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a))))))
(* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a))))))
(* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a))))))
a
(* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) a)) 1)))
(+ a (+ z (+ (* x (log y)) (* (log c) (- b 1/2)))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
t
(* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t))))))
(* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t))))))
(* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t))))))
t
(* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))) t)) 1)))
(+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2)))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
z
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z))))))
z
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* x (log y)) (* (log c) (- b 1/2))))) z)) 1)))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (* x (log y))))))
(+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (* x (log y))))))
(+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (* x (log y))))))
(+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (* x (log y))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))))))
(+ a (+ t (+ z (+ (* -1/2 (log c)) (* x (log y))))))
(+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (* x (log y)))))))
(+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (* x (log y)))))))
(+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (* x (log y)))))))
(* b (log c))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (/ (* x (log y)) b)))))))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (/ (* x (log y)) b)))))))
(* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (/ (* x (log y)) b)))))))
(* b (log c))
(* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (* x (log y)))))) b)))))
(* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (* x (log y)))))) b)))))
(* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (* x (log y)))))) b)))))
(+ a (+ t (+ z (* (log c) (- b 1/2)))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(* x (log y))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (/ (* (log c) (- b 1/2)) x))))))
(* x (log y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (* (log c) (- b 1/2))))) x)))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* -1 (* x (log (/ 1 y)))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2))))))
(/ z (log y))
(/ z (log y))
(/ z (log y))
(/ z (log y))
(/ z (log y))
(/ z (log y))
(/ z (log y))
(/ z (log y))
(/ z (log y))
(/ z (log y))
(/ z (log y))
(/ z (log y))
(/ z (log y))
(/ z (log y))
(/ z (log y))
(/ z (log y))
(* -1 (/ z (log (/ 1 y))))
(* -1 (/ z (log (/ 1 y))))
(* -1 (/ z (log (/ 1 y))))
(* -1 (/ z (log (/ 1 y))))
(/ z (+ (log -1) (* -1 (log (/ -1 y)))))
(/ z (+ (log -1) (* -1 (log (/ -1 y)))))
(/ z (+ (log -1) (* -1 (log (/ -1 y)))))
(/ z (+ (log -1) (* -1 (log (/ -1 y)))))
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(/ (* x (log y)) z)
(* -1 (/ (* x (log (/ 1 y))) z))
(* -1 (/ (* x (log (/ 1 y))) z))
(* -1 (/ (* x (log (/ 1 y))) z))
(* -1 (/ (* x (log (/ 1 y))) z))
(/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)
(/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)
(/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)
(/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)
(* -1/2 (log c))
(+ (* -1/2 (log c)) (* b (log c)))
(+ (* -1/2 (log c)) (* b (log c)))
(+ (* -1/2 (log c)) (* b (log c)))
(* b (log c))
(* b (+ (log c) (* -1/2 (/ (log c) b))))
(* b (+ (log c) (* -1/2 (/ (log c) b))))
(* b (+ (log c) (* -1/2 (/ (log c) b))))
(* b (log c))
(* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))
(* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))
(* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))
(* (log c) (- b 1/2))
(* (log c) (- b 1/2))
(* (log c) (- b 1/2))
(* (log c) (- b 1/2))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
(log c)
(log c)
(log c)
(log c)
(* -1 (log (/ 1 c)))
(* -1 (log (/ 1 c)))
(* -1 (log (/ 1 c)))
(* -1 (log (/ 1 c)))
(+ (log -1) (* -1 (log (/ -1 c))))
(+ (log -1) (* -1 (log (/ -1 c))))
(+ (log -1) (* -1 (log (/ -1 c))))
(+ (log -1) (* -1 (log (/ -1 c))))
(* (log c) (- b 1/2))
(* (log c) (- b 1/2))
(* (log c) (- b 1/2))
(* (log c) (- b 1/2))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
(* -1/2 (log c))
(+ (* -1/2 (log c)) (* b (log c)))
(+ (* -1/2 (log c)) (* b (log c)))
(+ (* -1/2 (log c)) (* b (log c)))
(* b (log c))
(* b (+ (log c) (* -1/2 (/ (log c) b))))
(* b (+ (log c) (* -1/2 (/ (log c) b))))
(* b (+ (log c) (* -1/2 (/ (log c) b))))
(* b (log c))
(* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))
(* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))
(* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))
Outputs
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
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(log c)
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(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 c)) b) (log.f64 c)) (neg.f64 b))
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eval180.0ms (1.4%)

Compiler

Compiled 37713 to 2252 computations (94% saved)

prune211.0ms (1.7%)

Pruning

37 alts after pruning (32 fresh and 5 done)

PrunedKeptTotal
New1485151500
Fresh71724
Picked235
Done022
Total1494371531
Accuracy
100.0%
Counts
1531 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.6%
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 (/.f64 x z) (*.f64 (log.f64 y) z)) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
92.4%
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z (/.f64 x (/.f64 z (log.f64 y)))) z) t) a) (*.f64 (log.f64 c) b)) (*.f64 y i))
87.1%
(+.f64 (+.f64 (+.f64 (+.f64 z t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
85.3%
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) b)) (*.f64 y i))
70.6%
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) #s(literal -1/2 binary64))) (*.f64 y i))
62.9%
(+.f64 (+.f64 (+.f64 t a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
75.1%
(+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y)))
62.3%
(+.f64 (+.f64 z a) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))))
69.1%
(+.f64 (+.f64 a z) (*.f64 y i))
70.3%
(+.f64 (*.f64 (+.f64 (/.f64 (+.f64 a (*.f64 (log.f64 c) b)) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 z)) (*.f64 y i))
42.5%
(+.f64 (*.f64 (log.f64 c) b) (*.f64 y i))
32.9%
(+.f64 (*.f64 x (/.f64 (*.f64 (log.f64 c) b) x)) (*.f64 y i))
38.3%
(+.f64 (*.f64 x (/.f64 z x)) (*.f64 y i))
37.4%
(+.f64 (*.f64 x (/.f64 a x)) (*.f64 y i))
50.9%
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 z x))) (*.f64 y i))
49.6%
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 a x))) (*.f64 y i))
28.3%
(+.f64 (*.f64 x (+.f64 (log.f64 y) (+.f64 (/.f64 a x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 x t) (*.f64 z x)) (/.f64 (/.f64 x (+.f64 b #s(literal -1/2 binary64))) (log.f64 c))) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 (/.f64 x (+.f64 b #s(literal -1/2 binary64))) (log.f64 c))))))) (*.f64 y i))
38.9%
(+.f64 (*.f64 x (log.f64 y)) (*.f64 y i))
67.5%
(+.f64 (*.f64 b (+.f64 (log.f64 c) (+.f64 (/.f64 a b) (/.f64 z b)))) (*.f64 y i))
49.7%
(+.f64 z (*.f64 y i))
61.0%
(+.f64 a (+.f64 z (*.f64 (log.f64 c) b)))
45.5%
(+.f64 a (*.f64 y i))
66.0%
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 c)) (/.f64 (+.f64 (+.f64 a z) (*.f64 y i)) b)) (neg.f64 b))
35.0%
(*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 (*.f64 (neg.f64 x) (/.f64 (log.f64 y) i)) y))
18.1%
(*.f64 (log.f64 c) b)
63.1%
(*.f64 y (+.f64 (+.f64 i (+.f64 (/.f64 a y) (/.f64 z y))) (*.f64 (log.f64 c) (/.f64 (+.f64 b #s(literal -1/2 binary64)) y))))
26.6%
(*.f64 y i)
14.2%
(*.f64 x (log.f64 y))
13.5%
(*.f64 i (/.f64 (*.f64 (log.f64 c) b) i))
10.4%
(*.f64 i (/.f64 (*.f64 x (log.f64 y)) i))
14.9%
(*.f64 i (/.f64 z i))
13.9%
(*.f64 i (/.f64 a i))
38.6%
(*.f64 i (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 (+.f64 a (+.f64 z t)) (*.f64 x (log.f64 y)))) i)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 (+.f64 a (+.f64 z t)) (*.f64 x (log.f64 y)))) i) #s(literal 2 binary64))))))
61.1%
(*.f64 i (+.f64 (+.f64 y (/.f64 a i)) (+.f64 (/.f64 z i) (/.f64 (*.f64 (log.f64 c) b) i))))
35.0%
(*.f64 i (+.f64 y (/.f64 (*.f64 x (log.f64 y)) i)))
25.1%
z
21.1%
a
Compiler

Compiled 1474 to 1014 computations (31.2% saved)

simplify190.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 a i)
cost-diff0
(+.f64 y (/.f64 a i))
cost-diff0
(+.f64 (+.f64 y (/.f64 a i)) (+.f64 (/.f64 z i) (/.f64 (*.f64 (log.f64 c) b) i)))
cost-diff384
(*.f64 i (+.f64 (+.f64 y (/.f64 a i)) (+.f64 (/.f64 z i) (/.f64 (*.f64 (log.f64 c) b) i))))
cost-diff0
(log.f64 y)
cost-diff0
(+.f64 (log.f64 y) (/.f64 z x))
cost-diff0
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 z x))) (*.f64 y i))
cost-diff128
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
cost-diff0
(log.f64 y)
cost-diff0
(*.f64 x (log.f64 y))
cost-diff0
(*.f64 y i)
cost-diff0
(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 x z) (*.f64 (log.f64 y) z)) z) t) a)
cost-diff0
(+.f64 (+.f64 (+.f64 (+.f64 (*.f64 (/.f64 x z) (*.f64 (log.f64 y) z)) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c)))
cost-diff0
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 (/.f64 x z) (*.f64 (log.f64 y) z)) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
cost-diff256
(*.f64 (/.f64 x z) (*.f64 (log.f64 y) z))
Rules
2894×+-lowering-+.f64
2894×+-lowering-+.f32
2636×*-lowering-*.f32
2636×*-lowering-*.f64
1692×sum5-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
035237
193234
2301233
31368217
44340196
54495193
65250193
77240193
08137193
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (+ (+ (+ (+ (* (/ x z) (* (log y) z)) z) t) a) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (+ (* (/ x z) (* (log y) z)) z) t) a) (* (- b 1/2) (log c)))
(+ (+ (+ (* (/ x z) (* (log y) z)) z) t) a)
(+ (+ (* (/ x z) (* (log y) z)) z) t)
(+ (* (/ x z) (* (log y) z)) z)
(* (/ x z) (* (log y) z))
(/ x z)
x
z
(* (log y) z)
(log y)
y
t
a
(* (- b 1/2) (log c))
(- b 1/2)
b
1/2
(log c)
c
(* y i)
i
(* y i)
y
i
(* x (log y))
x
(log y)
y
(+ (* x (+ (log y) (/ z x))) (* y i))
(* x (+ (log y) (/ z x)))
x
(+ (log y) (/ z x))
(log y)
y
(/ z x)
z
(* y i)
i
(* i (+ (+ y (/ a i)) (+ (/ z i) (/ (* (log c) b) i))))
i
(+ (+ y (/ a i)) (+ (/ z i) (/ (* (log c) b) i)))
(+ y (/ a i))
y
(/ a i)
a
(+ (/ z i) (/ (* (log c) b) i))
(/ z i)
z
(/ (* (log c) b) i)
(* (log c) b)
(log c)
c
b
Outputs
(+ (+ (+ (+ (+ (* (/ x z) (* (log y) z)) z) t) a) (* (- b 1/2) (log c))) (* y i))
(+.f64 a (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(+ (+ (+ (+ (* (/ x z) (* (log y) z)) z) t) a) (* (- b 1/2) (log c)))
(+.f64 z (+.f64 (*.f64 x (log.f64 y)) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))))
(+ (+ (+ (* (/ x z) (* (log y) z)) z) t) a)
(+.f64 (*.f64 x (log.f64 y)) (+.f64 z (+.f64 t a)))
(+ (+ (* (/ x z) (* (log y) z)) z) t)
(+.f64 (*.f64 x (log.f64 y)) (+.f64 z t))
(+ (* (/ x z) (* (log y) z)) z)
(+.f64 z (*.f64 x (log.f64 y)))
(* (/ x z) (* (log y) z))
(*.f64 x (log.f64 y))
(/ x z)
(/.f64 x z)
x
z
(* (log y) z)
(*.f64 z (log.f64 y))
(log y)
(log.f64 y)
y
t
a
(* (- b 1/2) (log c))
(*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))
(- b 1/2)
(+.f64 b #s(literal -1/2 binary64))
b
1/2
#s(literal 1/2 binary64)
(log c)
(log.f64 c)
c
(* y i)
(*.f64 y i)
i
(* y i)
(*.f64 y i)
y
i
(* x (log y))
(*.f64 x (log.f64 y))
x
(log y)
(log.f64 y)
y
(+ (* x (+ (log y) (/ z x))) (* y i))
(+.f64 z (+.f64 (*.f64 x (log.f64 y)) (*.f64 y i)))
(* x (+ (log y) (/ z x)))
(+.f64 z (*.f64 x (log.f64 y)))
x
(+ (log y) (/ z x))
(+.f64 (log.f64 y) (/.f64 z x))
(log y)
(log.f64 y)
y
(/ z x)
(/.f64 z x)
z
(* y i)
(*.f64 y i)
i
(* i (+ (+ y (/ a i)) (+ (/ z i) (/ (* (log c) b) i))))
(+.f64 z (+.f64 a (+.f64 (*.f64 y i) (*.f64 b (log.f64 c)))))
i
(+ (+ y (/ a i)) (+ (/ z i) (/ (* (log c) b) i)))
(+.f64 (/.f64 a i) (+.f64 (/.f64 (*.f64 b (log.f64 c)) i) (+.f64 y (/.f64 z i))))
(+ y (/ a i))
(+.f64 y (/.f64 a i))
y
(/ a i)
(/.f64 a i)
a
(+ (/ z i) (/ (* (log c) b) i))
(+.f64 (/.f64 z i) (/.f64 (*.f64 b (log.f64 c)) i))
(/ z i)
(/.f64 z i)
z
(/ (* (log c) b) i)
(/.f64 (*.f64 b (log.f64 c)) i)
(* (log c) b)
(*.f64 b (log.f64 c))
(log c)
(log.f64 c)
c
b

localize212.0ms (1.7%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.3%
(/.f64 (*.f64 (log.f64 c) b) i)
accuracy97.1%
(+.f64 (/.f64 z i) (/.f64 (*.f64 (log.f64 c) b) i))
accuracy93.7%
(+.f64 (+.f64 y (/.f64 a i)) (+.f64 (/.f64 z i) (/.f64 (*.f64 (log.f64 c) b) i)))
accuracy74.6%
(*.f64 i (+.f64 (+.f64 y (/.f64 a i)) (+.f64 (/.f64 z i) (/.f64 (*.f64 (log.f64 c) b) i))))
accuracy100.0%
(log.f64 y)
accuracy100.0%
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 z x))) (*.f64 y i))
accuracy100.0%
(+.f64 (log.f64 y) (/.f64 z x))
accuracy81.4%
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
accuracy100.0%
(log.f64 y)
accuracy99.6%
(*.f64 x (log.f64 y))
accuracy100.0%
(*.f64 y i)
accuracy100.0%
(+.f64 (*.f64 (/.f64 x z) (*.f64 (log.f64 y) z)) z)
accuracy99.8%
(*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))
accuracy99.6%
(*.f64 (log.f64 y) z)
accuracy76.7%
(*.f64 (/.f64 x z) (*.f64 (log.f64 y) z))
Results
166.0ms256×0valid
Compiler

Compiled 255 to 36 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-add: 23.0ms (41.2% of total)
ival-mult: 13.0ms (23.3% of total)
ival-div: 10.0ms (17.9% of total)
ival-log: 7.0ms (12.5% of total)
ival-sub: 1.0ms (1.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series36.0ms (0.3%)

Counts
19 → 828
Calls
Call 1
Inputs
#<alt (* (/ x z) (* (log y) z))>
#<alt (+ (+ (+ (+ (+ (* (/ x z) (* (log y) z)) z) t) a) (* (- b 1/2) (log c))) (* y i))>
#<alt (+ (+ (+ (+ (* (/ x z) (* (log y) z)) z) t) a) (* (- b 1/2) (log c)))>
#<alt (+ (+ (+ (* (/ x z) (* (log y) z)) z) t) a)>
#<alt (* y i)>
#<alt (* x (log y))>
#<alt (log y)>
#<alt (* x (+ (log y) (/ z x)))>
#<alt (+ (* x (+ (log y) (/ z x))) (* y i))>
#<alt (+ (log y) (/ z x))>
#<alt (* i (+ (+ y (/ a i)) (+ (/ z i) (/ (* (log c) b) i))))>
#<alt (+ (+ y (/ a i)) (+ (/ z i) (/ (* (log c) b) i)))>
#<alt (+ y (/ a i))>
#<alt (/ a i)>
#<alt (* (log y) z)>
#<alt (* (- b 1/2) (log c))>
#<alt (+ (* (/ x z) (* (log y) z)) z)>
#<alt (+ (/ z i) (/ (* (log c) b) i))>
#<alt (/ (* (log c) b) i)>
Outputs
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* x (log y))>
#<alt (* -1 (* x (log (/ 1 y))))>
#<alt (* -1 (* x (log (/ 1 y))))>
#<alt (* -1 (* x (log (/ 1 y))))>
#<alt (* -1 (* x (log (/ 1 y))))>
#<alt (* x (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* x (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* x (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* x (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (* x (log y))>
#<alt (* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))>
#<alt (* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))>
#<alt (* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))>
#<alt (* x (log y))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))>
#<alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))>
#<alt (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt z>
#<alt (* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))>
#<alt (* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))>
#<alt (* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))>
#<alt (+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (* i y)>
#<alt (* y (+ i (+ (* -1 (/ (* x (log (/ 1 y))) y)) (+ (/ a y) (+ (/ t y) (+ (/ z y) (/ (* (log c) (- b 1/2)) y)))))))>
#<alt (* y (+ i (+ (* -1 (/ (* x (log (/ 1 y))) y)) (+ (/ a y) (+ (/ t y) (+ (/ z y) (/ (* (log c) (- b 1/2)) y)))))))>
#<alt (* y (+ i (+ (* -1 (/ (* x (log (/ 1 y))) y)) (+ (/ a y) (+ (/ t y) (+ (/ z y) (/ (* (log c) (- b 1/2)) y)))))))>
#<alt (* i y)>
#<alt (* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) y)))))>
#<alt (* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) y)))))>
#<alt (* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) y)))))>
#<alt (+ a (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt t>
#<alt (* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* i y) t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t)))))))>
#<alt (* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* i y) t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t)))))))>
#<alt (* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* i y) t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t)))))))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) t)) 1)))>
#<alt (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt a>
#<alt (* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* i y) a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a)))))))>
#<alt (* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* i y) a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a)))))))>
#<alt (* a (+ 1 (+ (/ t a) (+ (/ z a) (+ (/ (* i y) a) (+ (/ (* x (log y)) a) (/ (* (log c) (- b 1/2)) a)))))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) a)) 1)))>
#<alt (+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* i y) (* x (log y)))))))>
#<alt (+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (+ (* i y) (* x (log y))))))))>
#<alt (+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (+ (* i y) (* x (log y))))))))>
#<alt (+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* b (log c)) (+ (* i y) (* x (log y))))))))>
#<alt (* b (log c))>
#<alt (* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (+ (/ (* i y) b) (/ (* x (log y)) b))))))))>
#<alt (* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (+ (/ (* i y) b) (/ (* x (log y)) b))))))))>
#<alt (* b (+ (log c) (+ (* -1/2 (/ (log c) b)) (+ (/ a b) (+ (/ t b) (+ (/ z b) (+ (/ (* i y) b) (/ (* x (log y)) b))))))))>
#<alt (* b (log c))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* i y) (* x (log y))))))) b)))))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* i y) (* x (log y))))))) b)))))>
#<alt (* -1 (* b (+ (* -1 (log c)) (* -1 (/ (+ a (+ t (+ z (+ (* -1/2 (log c)) (+ (* i y) (* x (log y))))))) b)))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))>
#<alt (+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (+ (* i y) (* x (log y)))))))>
#<alt (+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (+ (* i y) (* x (log y)))))))>
#<alt (+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (+ (* i y) (* x (log y)))))))>
#<alt (+ a (+ t (+ z (+ (* -1 (* (log (/ 1 c)) (- b 1/2))) (+ (* i y) (* x (log y)))))))>
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#<alt (/ (* b (log c)) i)>
#<alt (/ (* b (log c)) i)>
#<alt (/ (* b (log c)) i)>
Calls

207 calls:

TimeVariablePointExpression
2.0ms
i
@0
(* i (+ (+ y (/ a i)) (+ (/ z i) (/ (* (log c) b) i))))
2.0ms
b
@inf
(* (- b 1/2) (log c))
1.0ms
i
@-inf
(* i (+ (+ y (/ a i)) (+ (/ z i) (/ (* (log c) b) i))))
1.0ms
c
@inf
(* i (+ (+ y (/ a i)) (+ (/ z i) (/ (* (log c) b) i))))
1.0ms
c
@-inf
(* i (+ (+ y (/ a i)) (+ (/ z i) (/ (* (log c) b) i))))

rewrite392.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
2970×*-lowering-*.f32
2970×*-lowering-*.f64
2734×fma-lowering-fma.f32
2734×fma-lowering-fma.f64
1772×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035168
1258165
23128162
08220162
Stop Event
iter limit
node limit
Counts
19 → 455
Calls
Call 1
Inputs
(* (/ x z) (* (log y) z))
(+ (+ (+ (+ (+ (* (/ x z) (* (log y) z)) z) t) a) (* (- b 1/2) (log c))) (* y i))
(+ (+ (+ (+ (* (/ x z) (* (log y) z)) z) t) a) (* (- b 1/2) (log c)))
(+ (+ (+ (* (/ x z) (* (log y) z)) z) t) a)
(* y i)
(* x (log y))
(log y)
(* x (+ (log y) (/ z x)))
(+ (* x (+ (log y) (/ z x))) (* y i))
(+ (log y) (/ z x))
(* i (+ (+ y (/ a i)) (+ (/ z i) (/ (* (log c) b) i))))
(+ (+ y (/ a i)) (+ (/ z i) (/ (* (log c) b) i)))
(+ y (/ a i))
(/ a i)
(* (log y) z)
(* (- b 1/2) (log c))
(+ (* (/ x z) (* (log y) z)) z)
(+ (/ z i) (/ (* (log c) b) i))
(/ (* (log c) b) i)
Outputs
(/.f64 (*.f64 z (log.f64 y)) (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 x z) (log.f64 y))))
(/.f64 (*.f64 (*.f64 x z) (log.f64 y)) z)
(/.f64 (neg.f64 (*.f64 (*.f64 x z) (log.f64 y))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (*.f64 z (log.f64 y)) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (*.f64 z (log.f64 y)) #s(literal 1 binary64)) (/.f64 z x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z (log.f64 y))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (log.f64 y))) (/.f64 z x))
(pow.f64 (/.f64 z (*.f64 (*.f64 x z) (log.f64 y))) #s(literal -1 binary64))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (log.f64 y))))
(*.f64 x (/.f64 (*.f64 z (log.f64 y)) z))
(*.f64 z (*.f64 (/.f64 x z) (log.f64 y)))
(*.f64 (/.f64 x z) (*.f64 z (log.f64 y)))
(*.f64 (log.f64 y) (*.f64 z (/.f64 x z)))
(*.f64 (*.f64 z (log.f64 y)) (/.f64 x z))
(*.f64 (*.f64 (/.f64 x z) (log.f64 y)) z)
(*.f64 (*.f64 (*.f64 x z) (log.f64 y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (/.f64 x z) z) (log.f64 y))
(+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 (+.f64 t a) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) t) (+.f64 a (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) t) (+.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i)))
(+.f64 a (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) t) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t a)) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)))
(+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t a)) (*.f64 y i)))
(+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) (*.f64 y i))
(+.f64 (*.f64 y i) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))))
(+.f64 (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t a)))
(+.f64 (+.f64 (*.f64 y i) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) t)) (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))
(+.f64 (+.f64 (*.f64 y i) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t a))) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)))
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) t) (-.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i)))) (/.f64 (*.f64 (*.f64 (*.f64 y i) y) i) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) t) (-.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i)))))
(fma.f64 y i (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))))
(fma.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t a)) (*.f64 y i)))
(fma.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t a)) (*.f64 y i)))
(fma.f64 i y (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))))
(fma.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z (log.f64 y)) (/.f64 z x)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 z (log.f64 y)) (/.f64 z x)) #s(literal 2 binary64)) (*.f64 z (-.f64 z (/.f64 (*.f64 z (log.f64 y)) (/.f64 z x)))))) (+.f64 (+.f64 t a) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(fma.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) t) #s(literal 3 binary64)) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) t) #s(literal 2 binary64)) (*.f64 a (-.f64 a (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) t))))) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)))
(fma.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t a)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (-.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t a)))))) (*.f64 y i))
(fma.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z))))) (+.f64 a (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(fma.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z))))) (+.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i)))
(fma.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (log.f64 y)) (/.f64 z x)) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 z (log.f64 y)) (/.f64 z x)) z)) (+.f64 (+.f64 t a) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(fma.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) t) #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (-.f64 t a))) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (-.f64 (+.f64 t a) (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) (*.f64 y i))
(fma.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) t)) (+.f64 a (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(fma.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) t)) (+.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i)))
(fma.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z (+.f64 (+.f64 t a) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))
(/.f64 (+.f64 (*.f64 (*.f64 y i) (*.f64 (*.f64 (*.f64 y i) y) i)) (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 (*.f64 y i) (-.f64 (*.f64 y i) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)))))))))
(/.f64 (+.f64 (*.f64 (*.f64 y i) (*.f64 (*.f64 (*.f64 y i) y) i)) (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 y i) y) i) (-.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) (*.f64 y i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 (*.f64 y i) (-.f64 (*.f64 y i) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)))))))) (+.f64 (*.f64 (*.f64 y i) (*.f64 (*.f64 (*.f64 y i) y) i)) (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) t) (-.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i))) (-.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y i) y) i))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y i) y) i)) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) t) (-.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 y i) (*.f64 (*.f64 (*.f64 y i) y) i)) (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 (*.f64 y i) (-.f64 (*.f64 y i) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y i) y) i))) (neg.f64 (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) t) (-.f64 (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))) (*.f64 y i)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t a)) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t a)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i)) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) (log.f64 y)) #s(literal 1 binary64)) z) (+.f64 t a)) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (*.f64 y i))))))
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(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (log.f64 c))) (-.f64 #s(literal 0 binary64) i)) (*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) z))) (*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) i)))
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(/.f64 (*.f64 b (log.f64 c)) i)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (log.f64 c))) (-.f64 #s(literal 0 binary64) i))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 b (log.f64 c))))
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(*.f64 b (*.f64 (log.f64 c) (/.f64 #s(literal 1 binary64) i)))
(*.f64 b (/.f64 (log.f64 c) i))
(*.f64 (log.f64 c) (/.f64 b i))
(*.f64 (*.f64 b (log.f64 c)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (log.f64 c))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) i)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (log.f64 c)) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 b (log.f64 c)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (log.f64 c))) #s(literal -1 binary64)))
(*.f64 (/.f64 b i) (log.f64 c))

simplify402.0ms (3.2%)

Algorithm
egg-herbie
Rules
5178×+-lowering-+.f64
5178×+-lowering-+.f32
3742×*-lowering-*.f32
3742×*-lowering-*.f64
1964×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05589783
119318841
277898810
089358810
Stop Event
iter limit
node limit
Counts
828 → 828
Calls
Call 1
Inputs
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* -1 (* x (log (/ 1 y))))
(* -1 (* x (log (/ 1 y))))
(* -1 (* x (log (/ 1 y))))
(* -1 (* x (log (/ 1 y))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(* x (log y))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))
(* x (log y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2)))))) x)))))
(+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
z
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))
(* z (+ 1 (+ (/ a z) (+ (/ t z) (+ (/ (* i y) z) (+ (/ (* x (log y)) z) (/ (* (log c) (- b 1/2)) z)))))))
z
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ a (+ t (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) z)) 1)))
(+ a (+ t (+ z (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(* i y)
(* y (+ i (+ (* -1 (/ (* x (log (/ 1 y))) y)) (+ (/ a y) (+ (/ t y) (+ (/ z y) (/ (* (log c) (- b 1/2)) y)))))))
(* y (+ i (+ (* -1 (/ (* x (log (/ 1 y))) y)) (+ (/ a y) (+ (/ t y) (+ (/ z y) (/ (* (log c) (- b 1/2)) y)))))))
(* y (+ i (+ (* -1 (/ (* x (log (/ 1 y))) y)) (+ (/ a y) (+ (/ t y) (+ (/ z y) (/ (* (log c) (- b 1/2)) y)))))))
(* i y)
(* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) y)))))
(* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) y)))))
(* -1 (* y (+ (* -1 i) (* -1 (/ (+ a (+ t (+ z (+ (* x (+ (log -1) (* -1 (log (/ -1 y))))) (* (log c) (- b 1/2)))))) y)))))
(+ a (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
t
(* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* i y) t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t)))))))
(* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* i y) t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t)))))))
(* t (+ 1 (+ (/ a t) (+ (/ z t) (+ (/ (* i y) t) (+ (/ (* x (log y)) t) (/ (* (log c) (- b 1/2)) t)))))))
t
(* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ a (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))) t)) 1)))
(+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
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a
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(+ (* i y) (* i (+ (/ a i) (+ (/ z i) (/ (* b (log c)) i)))))
(+ (* i y) (* i (+ (/ a i) (+ (/ z i) (/ (* b (log c)) i)))))
(* i y)
(* y (+ i (/ (* i (+ (/ a i) (+ (/ z i) (/ (* b (log c)) i)))) y)))
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(+ a (* i (+ y (+ (/ z i) (/ (* b (log c)) i)))))
(+ a (* i (+ y (+ (/ z i) (/ (* b (log c)) i)))))
a
(* a (+ 1 (/ (* i (+ y (+ (/ z i) (/ (* b (log c)) i)))) a)))
(* a (+ 1 (/ (* i (+ y (+ (/ z i) (/ (* b (log c)) i)))) a)))
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a
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(+ y (+ (/ a i) (+ (/ z i) (/ (* b (log c)) i))))
y
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y
(+ y (+ (/ a i) (+ (/ z i) (/ (* b (log c)) i))))
(+ y (+ (/ a i) (+ (/ z i) (/ (* b (log c)) i))))
(+ y (+ (/ a i) (+ (/ z i) (/ (* b (log c)) i))))
y
(+ y (* -1 (/ (+ (* -1 a) (+ (* -1 z) (* -1 (* b (log c))))) i)))
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(+ y (+ (/ a i) (+ (/ z i) (/ (* b (log c)) i))))
(+ y (+ (/ a i) (+ (/ z i) (/ (* b (log c)) i))))
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(* -1 (* y (- (* -1 (/ a (* i y))) 1)))
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y
(+ y (/ a i))
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(* -1 (* a (- (* -1 (/ y a)) (/ 1 i))))
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(* -1 (* a (- (* -1 (/ y a)) (/ 1 i))))
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y
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y
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(* z (log y))
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(* -1/2 (log c))
(+ (* -1/2 (log c)) (* b (log c)))
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(+ (* -1/2 (log c)) (* b (log c)))
(* b (log c))
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(* b (+ (log c) (* -1/2 (/ (log c) b))))
(* b (+ (log c) (* -1/2 (/ (log c) b))))
(* b (log c))
(* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))
(* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))
(* -1 (* b (+ (* -1 (log c)) (* 1/2 (/ (log c) b)))))
(* (log c) (- b 1/2))
(* (log c) (- b 1/2))
(* (log c) (- b 1/2))
(* (log c) (- b 1/2))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
(* -1 (* (log (/ 1 c)) (- b 1/2)))
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(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
(* (+ (log -1) (* -1 (log (/ -1 c)))) (- b 1/2))
z
(+ z (* x (log y)))
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z
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z
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(/ (* b (log c)) i)
(+ (/ z i) (/ (* b (log c)) i))
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(+ (/ z i) (/ (* b (log c)) i))
(/ z i)
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(/ (+ z (* b (log c))) i)
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(/ (+ z (* b (log c))) i)
(/ (+ z (* b (log c))) i)
(* -1 (/ (+ (* -1 z) (* -1 (* b (log c)))) i))
(* -1 (/ (+ (* -1 z) (* -1 (* b (log c)))) i))
(* -1 (/ (+ (* -1 z) (* -1 (* b (log c)))) i))
(* -1 (/ (+ (* -1 z) (* -1 (* b (log c)))) i))
(+ (/ z i) (/ (* b (log c)) i))
(+ (/ z i) (/ (* b (log c)) i))
(+ (/ z i) (/ (* b (log c)) i))
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(/ z i)
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(+ (/ z i) (/ (* b (log c)) i))
(+ (/ z i) (/ (* b (log c)) i))
(/ (* b (log c)) i)
(* b (+ (/ z (* b i)) (/ (log c) i)))
(* b (+ (/ z (* b i)) (/ (log c) i)))
(* b (+ (/ z (* b i)) (/ (log c) i)))
(/ (* b (log c)) i)
(* -1 (* b (+ (* -1 (/ z (* b i))) (* -1 (/ (log c) i)))))
(* -1 (* b (+ (* -1 (/ z (* b i))) (* -1 (/ (log c) i)))))
(* -1 (* b (+ (* -1 (/ z (* b i))) (* -1 (/ (log c) i)))))
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(* -1 (/ (* b (log (/ 1 c))) i))
(* -1 (/ (* b (log (/ 1 c))) i))
(* -1 (/ (* b (log (/ 1 c))) i))
(* -1 (/ (* b (log (/ 1 c))) i))
(/ (* b (+ (log -1) (* -1 (log (/ -1 c))))) i)
(/ (* b (+ (log -1) (* -1 (log (/ -1 c))))) i)
(/ (* b (+ (log -1) (* -1 (log (/ -1 c))))) i)
(/ (* b (+ (log -1) (* -1 (log (/ -1 c))))) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
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(/ (* b (log c)) i)
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(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
(/ (* b (log c)) i)
Outputs
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (log y))
(*.f64 x (log.f64 y))
(* -1 (* x (log (/ 1 y))))
(*.f64 x (log.f64 y))
(* -1 (* x (log (/ 1 y))))
(*.f64 x (log.f64 y))
(* -1 (* x (log (/ 1 y))))
(*.f64 x (log.f64 y))
(* -1 (* x (log (/ 1 y))))
(*.f64 x (log.f64 y))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(+ a (+ t (+ z (+ (* i y) (* (log c) (- b 1/2))))))
(+.f64 (+.f64 (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))) (+.f64 z (*.f64 y i))) (+.f64 a t))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+.f64 a (+.f64 t (+.f64 (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))) (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (*.f64 y i))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+.f64 a (+.f64 t (+.f64 (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))) (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (*.f64 y i))))))
(+ a (+ t (+ z (+ (* i y) (+ (* x (log y)) (* (log c) (- b 1/2)))))))
(+.f64 a (+.f64 t (+.f64 (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))) (+.f64 (*.f64 x (log.f64 y)) (+.f64 z (*.f64 y i))))))
(* x (log y))
(*.f64 x (log.f64 y))
(* x (+ (log y) (+ (/ a x) (+ (/ t x) (+ (/ z x) (+ (/ (* i y) x) (/ (* (log c) (- b 1/2)) x)))))))
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(+.f64 (/.f64 z i) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 b i)))
(+ (/ z i) (/ (* b (+ (log -1) (* -1 (log (/ -1 c))))) i))
(+.f64 (/.f64 z i) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 b i)))
(+ (/ z i) (/ (* b (+ (log -1) (* -1 (log (/ -1 c))))) i))
(+.f64 (/.f64 z i) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 b i)))
(+ (/ z i) (/ (* b (+ (log -1) (* -1 (log (/ -1 c))))) i))
(+.f64 (/.f64 z i) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 b i)))
(/ z i)
(/.f64 z i)
(+ (/ z i) (/ (* b (log c)) i))
(+.f64 (/.f64 z i) (*.f64 (log.f64 c) (/.f64 b i)))
(+ (/ z i) (/ (* b (log c)) i))
(+.f64 (/.f64 z i) (*.f64 (log.f64 c) (/.f64 b i)))
(+ (/ z i) (/ (* b (log c)) i))
(+.f64 (/.f64 z i) (*.f64 (log.f64 c) (/.f64 b i)))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(* b (+ (/ z (* b i)) (/ (log c) i)))
(*.f64 b (+.f64 (/.f64 z (*.f64 i b)) (/.f64 (log.f64 c) i)))
(* b (+ (/ z (* b i)) (/ (log c) i)))
(*.f64 b (+.f64 (/.f64 z (*.f64 i b)) (/.f64 (log.f64 c) i)))
(* b (+ (/ z (* b i)) (/ (log c) i)))
(*.f64 b (+.f64 (/.f64 z (*.f64 i b)) (/.f64 (log.f64 c) i)))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(* -1 (* b (+ (* -1 (/ z (* b i))) (* -1 (/ (log c) i)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 c) i)) (/.f64 z (*.f64 i b))) (neg.f64 b))
(* -1 (* b (+ (* -1 (/ z (* b i))) (* -1 (/ (log c) i)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 c) i)) (/.f64 z (*.f64 i b))) (neg.f64 b))
(* -1 (* b (+ (* -1 (/ z (* b i))) (* -1 (/ (log c) i)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 c) i)) (/.f64 z (*.f64 i b))) (neg.f64 b))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(* -1 (/ (* b (log (/ 1 c))) i))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 c)) b) i)
(* -1 (/ (* b (log (/ 1 c))) i))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 c)) b) i)
(* -1 (/ (* b (log (/ 1 c))) i))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 c)) b) i)
(* -1 (/ (* b (log (/ 1 c))) i))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 c)) b) i)
(/ (* b (+ (log -1) (* -1 (log (/ -1 c))))) i)
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 b i))
(/ (* b (+ (log -1) (* -1 (log (/ -1 c))))) i)
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 b i))
(/ (* b (+ (log -1) (* -1 (log (/ -1 c))))) i)
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 b i))
(/ (* b (+ (log -1) (* -1 (log (/ -1 c))))) i)
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))
(/ (* b (log c)) i)
(*.f64 (log.f64 c) (/.f64 b i))

eval169.0ms (1.3%)

Compiler

Compiled 32369 to 2318 computations (92.8% saved)

prune210.0ms (1.7%)

Pruning

40 alts after pruning (33 fresh and 7 done)

PrunedKeptTotal
New1350111361
Fresh52227
Picked325
Done055
Total1358401398
Accuracy
100.0%
Counts
1398 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.6%
(+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 (/.f64 z x) (/.f64 (/.f64 z x) (/.f64 x z)))) x) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 z x) (-.f64 (/.f64 z x) (log.f64 y))))) (*.f64 y i))
92.0%
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 (/.f64 x z) (*.f64 (log.f64 y) z)) z) t) a) (*.f64 (log.f64 c) b)) (*.f64 y i))
92.4%
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z (/.f64 x (/.f64 z (log.f64 y)))) z) t) a) (*.f64 (log.f64 c) b)) (*.f64 y i))
87.1%
(+.f64 (+.f64 (+.f64 (+.f64 z t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
85.3%
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) b)) (*.f64 y i))
70.6%
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) #s(literal -1/2 binary64))) (*.f64 y i))
62.9%
(+.f64 (+.f64 (+.f64 t a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
75.1%
(+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y)))
62.3%
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))
62.3%
(+.f64 (+.f64 z a) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))))
69.1%
(+.f64 (+.f64 a z) (*.f64 y i))
70.3%
(+.f64 (*.f64 (+.f64 (/.f64 (+.f64 a (*.f64 (log.f64 c) b)) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 z)) (*.f64 y i))
61.0%
(+.f64 (*.f64 (log.f64 c) b) (+.f64 a z))
42.5%
(+.f64 (*.f64 (log.f64 c) b) (*.f64 y i))
32.9%
(+.f64 (*.f64 x (/.f64 (*.f64 (log.f64 c) b) x)) (*.f64 y i))
38.3%
(+.f64 (*.f64 x (/.f64 z x)) (*.f64 y i))
37.4%
(+.f64 (*.f64 x (/.f64 a x)) (*.f64 y i))
49.6%
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 a x))) (*.f64 y i))
28.3%
(+.f64 (*.f64 x (+.f64 (log.f64 y) (+.f64 (/.f64 a x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 x t) (*.f64 z x)) (/.f64 (/.f64 x (+.f64 b #s(literal -1/2 binary64))) (log.f64 c))) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 (/.f64 x (+.f64 b #s(literal -1/2 binary64))) (log.f64 c))))))) (*.f64 y i))
50.9%
(+.f64 (*.f64 x (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 y) z)))) (*.f64 y i))
38.9%
(+.f64 (*.f64 x (log.f64 y)) (*.f64 y i))
67.5%
(+.f64 (*.f64 b (+.f64 (log.f64 c) (+.f64 (/.f64 a b) (/.f64 z b)))) (*.f64 y i))
49.7%
(+.f64 z (*.f64 y i))
45.5%
(+.f64 a (*.f64 y i))
66.0%
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 c)) (/.f64 (+.f64 (+.f64 a z) (*.f64 y i)) b)) (neg.f64 b))
35.0%
(*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 (*.f64 (neg.f64 x) (/.f64 (log.f64 y) i)) y))
18.1%
(*.f64 (log.f64 c) b)
40.5%
(*.f64 y (+.f64 i (*.f64 (+.f64 (log.f64 y) (/.f64 z x)) (/.f64 x y))))
26.6%
(*.f64 y i)
29.3%
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
14.2%
(*.f64 x (log.f64 y))
14.9%
(*.f64 i (/.f64 z i))
13.9%
(*.f64 i (/.f64 a i))
50.8%
(*.f64 i (+.f64 (/.f64 a i) (+.f64 y (/.f64 z i))))
48.3%
(*.f64 i (+.f64 (+.f64 y (/.f64 a i)) (*.f64 (log.f64 c) (/.f64 b i))))
35.0%
(*.f64 i (+.f64 y (/.f64 (*.f64 x (log.f64 y)) i)))
39.7%
(*.f64 i (+.f64 y (*.f64 (+.f64 (log.f64 y) (/.f64 z x)) (/.f64 x i))))
13.4%
(*.f64 i (*.f64 (log.f64 c) (/.f64 b i)))
25.1%
z
21.1%
a
Compiler

Compiled 2039 to 872 computations (57.2% saved)

regimes325.0ms (2.6%)

Counts
68 → 1
Calls
Call 1
Inputs
a
z
(*.f64 i y)
(*.f64 y i)
(*.f64 i (/.f64 a i))
(*.f64 i (/.f64 z i))
(+.f64 a (*.f64 y i))
(+.f64 z (*.f64 y i))
(+.f64 (+.f64 a z) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 a x)) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 z x)) (*.f64 y i))
(*.f64 i (+.f64 (/.f64 a i) (+.f64 y (/.f64 z i))))
(*.f64 x (log.f64 y))
(*.f64 (log.f64 c) b)
(*.f64 i (*.f64 (log.f64 c) (/.f64 b i)))
(*.f64 i (/.f64 (*.f64 x (log.f64 y)) i))
(*.f64 i (/.f64 (*.f64 (log.f64 c) b) i))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(+.f64 a (+.f64 z (*.f64 (log.f64 c) b)))
(+.f64 (*.f64 x (log.f64 y)) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (+.f64 a z))
(*.f64 i (+.f64 y (/.f64 (*.f64 x (log.f64 y)) i)))
(+.f64 (+.f64 z a) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))))
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 a x))) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 z x))) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 (*.f64 (log.f64 c) b) x)) (*.f64 y i))
(+.f64 (+.f64 a (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 z (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) #s(literal -1/2 binary64))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) b)) (*.f64 y i))
(*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 (*.f64 (neg.f64 x) (/.f64 (log.f64 y) i)) y))
(*.f64 i (+.f64 y (*.f64 (+.f64 (log.f64 y) (/.f64 z x)) (/.f64 x i))))
(*.f64 i (+.f64 (+.f64 y (/.f64 a i)) (*.f64 (log.f64 c) (/.f64 b i))))
(*.f64 y (+.f64 i (*.f64 (+.f64 (log.f64 y) (/.f64 z x)) (/.f64 x y))))
(+.f64 (+.f64 (+.f64 t a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (*.f64 b (+.f64 (log.f64 c) (+.f64 (/.f64 a b) (/.f64 z b)))) (*.f64 y i))
(+.f64 (*.f64 x (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 y) z)))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 z t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 c)) (/.f64 (+.f64 (+.f64 a z) (*.f64 y i)) b)) (neg.f64 b))
(*.f64 i (+.f64 (+.f64 y (/.f64 a i)) (+.f64 (/.f64 z i) (/.f64 (*.f64 (log.f64 c) b) i))))
(+.f64 (*.f64 (+.f64 (/.f64 (+.f64 a (*.f64 (log.f64 c) b)) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 z)) (*.f64 y i))
(*.f64 i (+.f64 (+.f64 y (/.f64 a i)) (+.f64 (*.f64 (log.f64 c) (/.f64 (+.f64 b #s(literal -1/2 binary64)) i)) (/.f64 z i))))
(*.f64 y (+.f64 (+.f64 i (+.f64 (/.f64 a y) (/.f64 z y))) (*.f64 (log.f64 c) (/.f64 (+.f64 b #s(literal -1/2 binary64)) y))))
(+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y)))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 (+.f64 (+.f64 z a) (+.f64 (*.f64 y i) (*.f64 (log.f64 c) #s(literal -1/2 binary64)))) (neg.f64 b)) (log.f64 c))))
(*.f64 i (+.f64 y (/.f64 (+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y))) i)))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) x))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (log.f64 y) z)))) t) a) (*.f64 (log.f64 c) b)) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z (/.f64 x (/.f64 z (log.f64 y)))) z) t) a) (*.f64 (log.f64 c) b)) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 (/.f64 x z) (*.f64 (log.f64 y) z)) z) t) a) (*.f64 (log.f64 c) b)) (*.f64 y i))
(+.f64 (+.f64 (*.f64 z (/.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 a t)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) z)) z) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (log.f64 y) z)))) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z (/.f64 x (/.f64 z (log.f64 y)))) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 (/.f64 x z) (*.f64 (log.f64 y) z)) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (+.f64 (/.f64 a x) (+.f64 (/.f64 (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))) x) (+.f64 (/.f64 t x) (/.f64 z x)))))) (*.f64 y i))
(*.f64 i (+.f64 y (+.f64 (+.f64 (*.f64 x (/.f64 (log.f64 y) i)) (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (/.f64 (log.f64 c) i)) (/.f64 z i))) (+.f64 (/.f64 a i) (/.f64 t i)))))
(*.f64 y (+.f64 i (+.f64 (*.f64 (log.f64 y) (/.f64 x y)) (+.f64 (+.f64 (/.f64 z y) (*.f64 (log.f64 c) (/.f64 (+.f64 b #s(literal -1/2 binary64)) y))) (+.f64 (/.f64 a y) (/.f64 t y))))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a) (/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (log.f64 c)) (+.f64 (*.f64 b b) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (+.f64 (/.f64 a x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 x t) (*.f64 z x)) (/.f64 (/.f64 x (+.f64 b #s(literal -1/2 binary64))) (log.f64 c))) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 (/.f64 x (+.f64 b #s(literal -1/2 binary64))) (log.f64 c))))))) (*.f64 y i))
(+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 (/.f64 z x) (/.f64 (/.f64 z x) (/.f64 x z)))) x) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 z x) (-.f64 (/.f64 z x) (log.f64 y))))) (*.f64 y i))
(*.f64 i (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 (+.f64 a (+.f64 z t)) (*.f64 x (log.f64 y)))) i)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 (+.f64 (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c)) (+.f64 (+.f64 a (+.f64 z t)) (*.f64 x (log.f64 y)))) i) #s(literal 2 binary64))))))
(+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) (+.f64 z t)) #s(literal 2 binary64)) (*.f64 a a)) (+.f64 (*.f64 b b) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/2 binary64))))) (*.f64 (+.f64 (*.f64 x (log.f64 y)) (-.f64 (+.f64 z t) a)) (*.f64 (+.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (log.f64 c)))) (*.f64 (+.f64 (*.f64 x (log.f64 y)) (-.f64 (+.f64 z t) a)) (+.f64 (*.f64 b b) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (*.f64 y i))
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 t z)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 2 binary64))) x) (-.f64 (log.f64 y) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 t z)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))))) (*.f64 y i))
(+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 t z)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 t z)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) (-.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 t z)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 a (*.f64 (+.f64 b #s(literal -1/2 binary64)) (log.f64 c))))) (log.f64 y))))) (*.f64 y i))
Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
Calls

12 calls:

47.0ms
c
34.0ms
z
30.0ms
b
28.0ms
t
26.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1t
99.9%1a
99.9%1b
99.9%1c
99.9%1i
99.9%1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
99.9%1(*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))
99.9%1(-.f64 b #s(literal 1/2 binary64))
99.9%1(log.f64 c)
Compiler

Compiled 136 to 115 computations (15.4% saved)

regimes196.0ms (1.5%)

Counts
47 → 2
Calls
Call 1
Inputs
a
z
(*.f64 i y)
(*.f64 y i)
(*.f64 i (/.f64 a i))
(*.f64 i (/.f64 z i))
(+.f64 a (*.f64 y i))
(+.f64 z (*.f64 y i))
(+.f64 (+.f64 a z) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 a x)) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 z x)) (*.f64 y i))
(*.f64 i (+.f64 (/.f64 a i) (+.f64 y (/.f64 z i))))
(*.f64 x (log.f64 y))
(*.f64 (log.f64 c) b)
(*.f64 i (*.f64 (log.f64 c) (/.f64 b i)))
(*.f64 i (/.f64 (*.f64 x (log.f64 y)) i))
(*.f64 i (/.f64 (*.f64 (log.f64 c) b) i))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(+.f64 a (+.f64 z (*.f64 (log.f64 c) b)))
(+.f64 (*.f64 x (log.f64 y)) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (+.f64 a z))
(*.f64 i (+.f64 y (/.f64 (*.f64 x (log.f64 y)) i)))
(+.f64 (+.f64 z a) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))))
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 a x))) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 z x))) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 (*.f64 (log.f64 c) b) x)) (*.f64 y i))
(+.f64 (+.f64 a (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 z (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) #s(literal -1/2 binary64))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) b)) (*.f64 y i))
(*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 (*.f64 (neg.f64 x) (/.f64 (log.f64 y) i)) y))
(*.f64 i (+.f64 y (*.f64 (+.f64 (log.f64 y) (/.f64 z x)) (/.f64 x i))))
(*.f64 i (+.f64 (+.f64 y (/.f64 a i)) (*.f64 (log.f64 c) (/.f64 b i))))
(*.f64 y (+.f64 i (*.f64 (+.f64 (log.f64 y) (/.f64 z x)) (/.f64 x y))))
(+.f64 (+.f64 (+.f64 t a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (*.f64 b (+.f64 (log.f64 c) (+.f64 (/.f64 a b) (/.f64 z b)))) (*.f64 y i))
(+.f64 (*.f64 x (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 y) z)))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 z t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 c)) (/.f64 (+.f64 (+.f64 a z) (*.f64 y i)) b)) (neg.f64 b))
(*.f64 i (+.f64 (+.f64 y (/.f64 a i)) (+.f64 (/.f64 z i) (/.f64 (*.f64 (log.f64 c) b) i))))
(+.f64 (*.f64 (+.f64 (/.f64 (+.f64 a (*.f64 (log.f64 c) b)) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 z)) (*.f64 y i))
(*.f64 i (+.f64 (+.f64 y (/.f64 a i)) (+.f64 (*.f64 (log.f64 c) (/.f64 (+.f64 b #s(literal -1/2 binary64)) i)) (/.f64 z i))))
(*.f64 y (+.f64 (+.f64 i (+.f64 (/.f64 a y) (/.f64 z y))) (*.f64 (log.f64 c) (/.f64 (+.f64 b #s(literal -1/2 binary64)) y))))
(+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y)))
Outputs
(+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y)))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) b)) (*.f64 y i))
Calls

11 calls:

43.0ms
c
20.0ms
x
15.0ms
(log.f64 c)
15.0ms
t
14.0ms
(*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))
Results
AccuracySegmentsBranch
93.8%3x
93.8%2y
87.1%1z
87.1%1t
87.1%1a
87.1%1b
87.1%1c
93.2%3i
87.1%1(*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))
87.1%1(-.f64 b #s(literal 1/2 binary64))
87.1%1(log.f64 c)
Compiler

Compiled 107 to 95 computations (11.2% saved)

regimes71.0ms (0.6%)

Counts
46 → 3
Calls
Call 1
Inputs
a
z
(*.f64 i y)
(*.f64 y i)
(*.f64 i (/.f64 a i))
(*.f64 i (/.f64 z i))
(+.f64 a (*.f64 y i))
(+.f64 z (*.f64 y i))
(+.f64 (+.f64 a z) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 a x)) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 z x)) (*.f64 y i))
(*.f64 i (+.f64 (/.f64 a i) (+.f64 y (/.f64 z i))))
(*.f64 x (log.f64 y))
(*.f64 (log.f64 c) b)
(*.f64 i (*.f64 (log.f64 c) (/.f64 b i)))
(*.f64 i (/.f64 (*.f64 x (log.f64 y)) i))
(*.f64 i (/.f64 (*.f64 (log.f64 c) b) i))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(+.f64 a (+.f64 z (*.f64 (log.f64 c) b)))
(+.f64 (*.f64 x (log.f64 y)) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (+.f64 a z))
(*.f64 i (+.f64 y (/.f64 (*.f64 x (log.f64 y)) i)))
(+.f64 (+.f64 z a) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))))
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 a x))) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 z x))) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 (*.f64 (log.f64 c) b) x)) (*.f64 y i))
(+.f64 (+.f64 a (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 z (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) #s(literal -1/2 binary64))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) b)) (*.f64 y i))
(*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 (*.f64 (neg.f64 x) (/.f64 (log.f64 y) i)) y))
(*.f64 i (+.f64 y (*.f64 (+.f64 (log.f64 y) (/.f64 z x)) (/.f64 x i))))
(*.f64 i (+.f64 (+.f64 y (/.f64 a i)) (*.f64 (log.f64 c) (/.f64 b i))))
(*.f64 y (+.f64 i (*.f64 (+.f64 (log.f64 y) (/.f64 z x)) (/.f64 x y))))
(+.f64 (+.f64 (+.f64 t a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (*.f64 b (+.f64 (log.f64 c) (+.f64 (/.f64 a b) (/.f64 z b)))) (*.f64 y i))
(+.f64 (*.f64 x (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 y) z)))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 z t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 c)) (/.f64 (+.f64 (+.f64 a z) (*.f64 y i)) b)) (neg.f64 b))
(*.f64 i (+.f64 (+.f64 y (/.f64 a i)) (+.f64 (/.f64 z i) (/.f64 (*.f64 (log.f64 c) b) i))))
(+.f64 (*.f64 (+.f64 (/.f64 (+.f64 a (*.f64 (log.f64 c) b)) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 z)) (*.f64 y i))
(*.f64 i (+.f64 (+.f64 y (/.f64 a i)) (+.f64 (*.f64 (log.f64 c) (/.f64 (+.f64 b #s(literal -1/2 binary64)) i)) (/.f64 z i))))
(*.f64 y (+.f64 (+.f64 i (+.f64 (/.f64 a y) (/.f64 z y))) (*.f64 (log.f64 c) (/.f64 (+.f64 b #s(literal -1/2 binary64)) y))))
Outputs
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 z t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))
Calls

2 calls:

39.0ms
y
13.0ms
x
Results
AccuracySegmentsBranch
93.4%3x
87.1%1y
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes30.0ms (0.2%)

Counts
40 → 3
Calls
Call 1
Inputs
a
z
(*.f64 i y)
(*.f64 y i)
(*.f64 i (/.f64 a i))
(*.f64 i (/.f64 z i))
(+.f64 a (*.f64 y i))
(+.f64 z (*.f64 y i))
(+.f64 (+.f64 a z) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 a x)) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 z x)) (*.f64 y i))
(*.f64 i (+.f64 (/.f64 a i) (+.f64 y (/.f64 z i))))
(*.f64 x (log.f64 y))
(*.f64 (log.f64 c) b)
(*.f64 i (*.f64 (log.f64 c) (/.f64 b i)))
(*.f64 i (/.f64 (*.f64 x (log.f64 y)) i))
(*.f64 i (/.f64 (*.f64 (log.f64 c) b) i))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(+.f64 a (+.f64 z (*.f64 (log.f64 c) b)))
(+.f64 (*.f64 x (log.f64 y)) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (+.f64 a z))
(*.f64 i (+.f64 y (/.f64 (*.f64 x (log.f64 y)) i)))
(+.f64 (+.f64 z a) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))))
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 a x))) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 z x))) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 (*.f64 (log.f64 c) b) x)) (*.f64 y i))
(+.f64 (+.f64 a (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 z (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) #s(literal -1/2 binary64))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) b)) (*.f64 y i))
(*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 (*.f64 (neg.f64 x) (/.f64 (log.f64 y) i)) y))
(*.f64 i (+.f64 y (*.f64 (+.f64 (log.f64 y) (/.f64 z x)) (/.f64 x i))))
(*.f64 i (+.f64 (+.f64 y (/.f64 a i)) (*.f64 (log.f64 c) (/.f64 b i))))
(*.f64 y (+.f64 i (*.f64 (+.f64 (log.f64 y) (/.f64 z x)) (/.f64 x y))))
(+.f64 (+.f64 (+.f64 t a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (*.f64 b (+.f64 (log.f64 c) (+.f64 (/.f64 a b) (/.f64 z b)))) (*.f64 y i))
(+.f64 (*.f64 x (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 y) z)))) (*.f64 y i))
Outputs
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))
Calls

2 calls:

13.0ms
i
12.0ms
x
Results
AccuracySegmentsBranch
86.9%1i
93.2%3x
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes15.0ms (0.1%)

Counts
37 → 3
Calls
Call 1
Inputs
a
z
(*.f64 i y)
(*.f64 y i)
(*.f64 i (/.f64 a i))
(*.f64 i (/.f64 z i))
(+.f64 a (*.f64 y i))
(+.f64 z (*.f64 y i))
(+.f64 (+.f64 a z) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 a x)) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 z x)) (*.f64 y i))
(*.f64 i (+.f64 (/.f64 a i) (+.f64 y (/.f64 z i))))
(*.f64 x (log.f64 y))
(*.f64 (log.f64 c) b)
(*.f64 i (*.f64 (log.f64 c) (/.f64 b i)))
(*.f64 i (/.f64 (*.f64 x (log.f64 y)) i))
(*.f64 i (/.f64 (*.f64 (log.f64 c) b) i))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(+.f64 a (+.f64 z (*.f64 (log.f64 c) b)))
(+.f64 (*.f64 x (log.f64 y)) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (+.f64 a z))
(*.f64 i (+.f64 y (/.f64 (*.f64 x (log.f64 y)) i)))
(+.f64 (+.f64 z a) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))))
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 a x))) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 z x))) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 (*.f64 (log.f64 c) b) x)) (*.f64 y i))
(+.f64 (+.f64 a (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 z (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) #s(literal -1/2 binary64))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) b)) (*.f64 y i))
(*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 (*.f64 (neg.f64 x) (/.f64 (log.f64 y) i)) y))
(*.f64 i (+.f64 y (*.f64 (+.f64 (log.f64 y) (/.f64 z x)) (/.f64 x i))))
(*.f64 i (+.f64 (+.f64 y (/.f64 a i)) (*.f64 (log.f64 c) (/.f64 b i))))
(*.f64 y (+.f64 i (*.f64 (+.f64 (log.f64 y) (/.f64 z x)) (/.f64 x y))))
(+.f64 (+.f64 (+.f64 t a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
Outputs
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) b)) (*.f64 y i))
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
91.6%3x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes139.0ms (1.1%)

Counts
31 → 3
Calls
Call 1
Inputs
a
z
(*.f64 i y)
(*.f64 y i)
(*.f64 i (/.f64 a i))
(*.f64 i (/.f64 z i))
(+.f64 a (*.f64 y i))
(+.f64 z (*.f64 y i))
(+.f64 (+.f64 a z) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 a x)) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 z x)) (*.f64 y i))
(*.f64 i (+.f64 (/.f64 a i) (+.f64 y (/.f64 z i))))
(*.f64 x (log.f64 y))
(*.f64 (log.f64 c) b)
(*.f64 i (*.f64 (log.f64 c) (/.f64 b i)))
(*.f64 i (/.f64 (*.f64 x (log.f64 y)) i))
(*.f64 i (/.f64 (*.f64 (log.f64 c) b) i))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(+.f64 a (+.f64 z (*.f64 (log.f64 c) b)))
(+.f64 (*.f64 x (log.f64 y)) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (+.f64 a z))
(*.f64 i (+.f64 y (/.f64 (*.f64 x (log.f64 y)) i)))
(+.f64 (+.f64 z a) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))))
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 a x))) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 z x))) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 (*.f64 (log.f64 c) b) x)) (*.f64 y i))
(+.f64 (+.f64 a (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 z (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) #s(literal -1/2 binary64))) (*.f64 y i))
Outputs
(+.f64 (+.f64 z (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) #s(literal -1/2 binary64))) (*.f64 y i))
(+.f64 (+.f64 z (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
Calls

11 calls:

24.0ms
t
21.0ms
(log.f64 c)
12.0ms
b
11.0ms
(-.f64 b #s(literal 1/2 binary64))
11.0ms
(*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))
Results
AccuracySegmentsBranch
81.5%4i
80.9%2z
78.0%2t
72.8%2c
72.8%2(log.f64 c)
79.6%2y
82.3%3(*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))
82.7%3(-.f64 b #s(literal 1/2 binary64))
80.8%2a
82.7%3b
83.1%5x
Compiler

Compiled 107 to 95 computations (11.2% saved)

regimes32.0ms (0.2%)

Counts
30 → 2
Calls
Call 1
Inputs
a
z
(*.f64 i y)
(*.f64 y i)
(*.f64 i (/.f64 a i))
(*.f64 i (/.f64 z i))
(+.f64 a (*.f64 y i))
(+.f64 z (*.f64 y i))
(+.f64 (+.f64 a z) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 a x)) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 z x)) (*.f64 y i))
(*.f64 i (+.f64 (/.f64 a i) (+.f64 y (/.f64 z i))))
(*.f64 x (log.f64 y))
(*.f64 (log.f64 c) b)
(*.f64 i (*.f64 (log.f64 c) (/.f64 b i)))
(*.f64 i (/.f64 (*.f64 x (log.f64 y)) i))
(*.f64 i (/.f64 (*.f64 (log.f64 c) b) i))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(+.f64 a (+.f64 z (*.f64 (log.f64 c) b)))
(+.f64 (*.f64 x (log.f64 y)) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (+.f64 a z))
(*.f64 i (+.f64 y (/.f64 (*.f64 x (log.f64 y)) i)))
(+.f64 (+.f64 z a) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))))
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 a x))) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 z x))) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 (*.f64 (log.f64 c) b) x)) (*.f64 y i))
(+.f64 (+.f64 a (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 z (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
Outputs
(+.f64 (+.f64 a z) (*.f64 y i))
(+.f64 (+.f64 a (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
Calls

3 calls:

10.0ms
b
9.0ms
z
8.0ms
(-.f64 b #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
80.9%2z
81.1%3b
81.1%3(-.f64 b #s(literal 1/2 binary64))
Compiler

Compiled 29 to 26 computations (10.3% saved)

regimes32.0ms (0.2%)

Counts
28 → 2
Calls
Call 1
Inputs
a
z
(*.f64 i y)
(*.f64 y i)
(*.f64 i (/.f64 a i))
(*.f64 i (/.f64 z i))
(+.f64 a (*.f64 y i))
(+.f64 z (*.f64 y i))
(+.f64 (+.f64 a z) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 a x)) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 z x)) (*.f64 y i))
(*.f64 i (+.f64 (/.f64 a i) (+.f64 y (/.f64 z i))))
(*.f64 x (log.f64 y))
(*.f64 (log.f64 c) b)
(*.f64 i (*.f64 (log.f64 c) (/.f64 b i)))
(*.f64 i (/.f64 (*.f64 x (log.f64 y)) i))
(*.f64 i (/.f64 (*.f64 (log.f64 c) b) i))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(+.f64 a (+.f64 z (*.f64 (log.f64 c) b)))
(+.f64 (*.f64 x (log.f64 y)) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (+.f64 a z))
(*.f64 i (+.f64 y (/.f64 (*.f64 x (log.f64 y)) i)))
(+.f64 (+.f64 z a) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))))
(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 a x))) (*.f64 y i))
(+.f64 (*.f64 x (+.f64 (log.f64 y) (/.f64 z x))) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 (*.f64 (log.f64 c) b) x)) (*.f64 y i))
Outputs
(+.f64 (+.f64 z a) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))))
(+.f64 (+.f64 a z) (*.f64 y i))
Calls

3 calls:

12.0ms
y
9.0ms
z
8.0ms
a
Results
AccuracySegmentsBranch
79.6%2y
77.8%2a
76.8%4z
Compiler

Compiled 27 to 24 computations (11.1% saved)

regimes41.0ms (0.3%)

Counts
23 → 2
Calls
Call 1
Inputs
a
z
(*.f64 i y)
(*.f64 y i)
(*.f64 i (/.f64 a i))
(*.f64 i (/.f64 z i))
(+.f64 a (*.f64 y i))
(+.f64 z (*.f64 y i))
(+.f64 (+.f64 a z) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 a x)) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 z x)) (*.f64 y i))
(*.f64 i (+.f64 (/.f64 a i) (+.f64 y (/.f64 z i))))
(*.f64 x (log.f64 y))
(*.f64 (log.f64 c) b)
(*.f64 i (*.f64 (log.f64 c) (/.f64 b i)))
(*.f64 i (/.f64 (*.f64 x (log.f64 y)) i))
(*.f64 i (/.f64 (*.f64 (log.f64 c) b) i))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
(+.f64 a (+.f64 z (*.f64 (log.f64 c) b)))
(+.f64 (*.f64 x (log.f64 y)) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (*.f64 y i))
(+.f64 (*.f64 (log.f64 c) b) (+.f64 a z))
(*.f64 i (+.f64 y (/.f64 (*.f64 x (log.f64 y)) i)))
Outputs
(+.f64 a (+.f64 z (*.f64 (log.f64 c) b)))
(+.f64 (+.f64 a z) (*.f64 y i))
Calls

4 calls:

15.0ms
b
7.0ms
i
7.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
75.9%3x
77.6%3i
79.4%3b
78.2%2y
Compiler

Compiled 36 to 32 computations (11.1% saved)

regimes49.0ms (0.4%)

Counts
18 → 3
Calls
Call 1
Inputs
a
z
(*.f64 i y)
(*.f64 y i)
(*.f64 i (/.f64 a i))
(*.f64 i (/.f64 z i))
(+.f64 a (*.f64 y i))
(+.f64 z (*.f64 y i))
(+.f64 (+.f64 a z) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 a x)) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 z x)) (*.f64 y i))
(*.f64 i (+.f64 (/.f64 a i) (+.f64 y (/.f64 z i))))
(*.f64 x (log.f64 y))
(*.f64 (log.f64 c) b)
(*.f64 i (*.f64 (log.f64 c) (/.f64 b i)))
(*.f64 i (/.f64 (*.f64 x (log.f64 y)) i))
(*.f64 i (/.f64 (*.f64 (log.f64 c) b) i))
(*.f64 x (+.f64 (log.f64 y) (/.f64 z x)))
Outputs
(*.f64 (log.f64 c) b)
(+.f64 (+.f64 a z) (*.f64 y i))
(*.f64 (log.f64 c) b)
Calls

7 calls:

9.0ms
x
8.0ms
b
7.0ms
z
6.0ms
y
6.0ms
a
Results
AccuracySegmentsBranch
69.1%1z
74.6%3x
69.1%1i
69.1%1a
74.6%3b
69.1%1t
69.1%1y
Compiler

Compiled 63 to 56 computations (11.1% saved)

regimes16.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
a
z
(*.f64 i y)
(*.f64 y i)
(*.f64 i (/.f64 a i))
(*.f64 i (/.f64 z i))
(+.f64 a (*.f64 y i))
(+.f64 z (*.f64 y i))
(+.f64 (+.f64 a z) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 a x)) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 z x)) (*.f64 y i))
(*.f64 i (+.f64 (/.f64 a i) (+.f64 y (/.f64 z i))))
(*.f64 x (log.f64 y))
Outputs
(+.f64 (+.f64 a z) (*.f64 y i))
(*.f64 x (log.f64 y))
Calls

3 calls:

5.0ms
x
5.0ms
b
5.0ms
c
Results
AccuracySegmentsBranch
69.1%1c
71.4%2x
69.1%1b
Compiler

Compiled 27 to 24 computations (11.1% saved)

regimes11.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
a
z
(*.f64 i y)
(*.f64 y i)
(*.f64 i (/.f64 a i))
(*.f64 i (/.f64 z i))
(+.f64 a (*.f64 y i))
(+.f64 z (*.f64 y i))
(+.f64 (+.f64 a z) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 a x)) (*.f64 y i))
(+.f64 (*.f64 x (/.f64 z x)) (*.f64 y i))
(*.f64 i (+.f64 (/.f64 a i) (+.f64 y (/.f64 z i))))
Outputs
(+.f64 (+.f64 a z) (*.f64 y i))
Calls

2 calls:

5.0ms
x
4.0ms
b
Results
AccuracySegmentsBranch
69.1%1b
69.1%1x
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes31.0ms (0.2%)

Counts
8 → 2
Calls
Call 1
Inputs
a
z
(*.f64 i y)
(*.f64 y i)
(*.f64 i (/.f64 a i))
(*.f64 i (/.f64 z i))
(+.f64 a (*.f64 y i))
(+.f64 z (*.f64 y i))
Outputs
(+.f64 z (*.f64 y i))
(+.f64 a (*.f64 y i))
Calls

8 calls:

5.0ms
x
5.0ms
t
3.0ms
z
3.0ms
b
3.0ms
a
Results
AccuracySegmentsBranch
61.8%2z
59.5%2t
63.8%2a
51.6%2i
54.0%3c
54.1%3x
51.5%2y
51.3%2b
Compiler

Compiled 72 to 64 computations (11.1% saved)

regimes12.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
a
z
(*.f64 i y)
(*.f64 y i)
(*.f64 i (/.f64 a i))
(*.f64 i (/.f64 z i))
(+.f64 a (*.f64 y i))
Outputs
z
(+.f64 a (*.f64 y i))
Calls

3 calls:

5.0ms
t
3.0ms
a
3.0ms
z
Results
AccuracySegmentsBranch
51.5%2t
57.1%2z
51.4%2a
Compiler

Compiled 27 to 24 computations (11.1% saved)

regimes25.0ms (0.2%)

Counts
6 → 3
Calls
Call 1
Inputs
a
z
(*.f64 i y)
(*.f64 y i)
(*.f64 i (/.f64 a i))
(*.f64 i (/.f64 z i))
Outputs
z
(*.f64 i y)
a
Calls

8 calls:

5.0ms
y
3.0ms
x
3.0ms
c
3.0ms
i
3.0ms
t
Results
AccuracySegmentsBranch
31.1%2b
43.5%3a
40.6%3t
41.3%3y
42.6%4i
32.3%3c
33.6%5x
44.1%3z
Compiler

Compiled 72 to 64 computations (11.1% saved)

regimes15.0ms (0.1%)

Counts
2 → 2
Calls
Call 1
Inputs
a
z
Outputs
z
a
Calls

4 calls:

9.0ms
z
2.0ms
y
2.0ms
a
2.0ms
i
Results
AccuracySegmentsBranch
25.1%1i
27.0%2y
39.4%2a
37.4%2z
Compiler

Compiled 36 to 32 computations (11.1% saved)

regimes13.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
a
Outputs
a
Calls

8 calls:

3.0ms
c
1.0ms
i
1.0ms
a
1.0ms
b
1.0ms
y
Results
AccuracySegmentsBranch
21.1%1i
21.1%1y
21.1%1x
21.1%1c
21.1%1b
21.1%1z
21.1%1t
21.1%1a
Compiler

Compiled 72 to 64 computations (11.1% saved)

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
6.174888317511392e-50
1.059945966410186e-49
Results
10.0ms64×0valid
Compiler

Compiled 228 to 166 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (45.3% of total)
ival-log: 2.0ms (30.2% of total)
ival-mult: 1.0ms (15.1% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch95.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
51.0ms
3.897684509840555e+198
1.9425259895637487e+203
8.0ms
-7.025226374990908e+193
-5.435274253610233e+193
Results
53.0ms176×0valid
Compiler

Compiled 524 to 382 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-log: 34.0ms (78.6% of total)
ival-add: 4.0ms (9.3% of total)
ival-mult: 4.0ms (9.3% of total)
ival-sub: 1.0ms (2.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
3.897684509840555e+198
1.9425259895637487e+203
8.0ms
-7.025226374990908e+193
-5.435274253610233e+193
Results
30.0ms176×0valid
Compiler

Compiled 502 to 371 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 11.0ms (55.6% of total)
ival-add: 4.0ms (20.2% of total)
ival-mult: 4.0ms (20.2% of total)
ival-sub: 1.0ms (5.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
3.897684509840555e+198
1.9425259895637487e+203
8.0ms
-7.025226374990908e+193
-5.435274253610233e+193
Results
26.0ms176×0valid
Compiler

Compiled 480 to 349 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-log: 5.0ms (36.6% of total)
ival-add: 4.0ms (29.3% of total)
ival-mult: 4.0ms (29.3% of total)
ival-sub: 1.0ms (7.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
6.375822587128435e+135
1.601643633592987e+136
11.0ms
-3.5526683631780967e+83
-2.2755768023504247e+83
Results
21.0ms144×0valid
Compiler

Compiled 418 to 318 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-log: 4.0ms (34.9% of total)
ival-add: 3.0ms (26.1% of total)
ival-mult: 3.0ms (26.1% of total)
ival-sub: 1.0ms (8.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-1.0711613481862067e+115
-3.679958819890698e+114
Results
12.0ms80×0valid
Compiler

Compiled 225 to 170 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-log: 3.0ms (41.4% of total)
ival-add: 2.0ms (27.6% of total)
ival-mult: 2.0ms (27.6% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
9.979809926502736e+51
6.590286440611974e+52
Results
13.0ms96×0valid
Compiler

Compiled 250 to 192 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-log: 2.0ms (27.5% of total)
ival-add: 2.0ms (27.5% of total)
ival-mult: 2.0ms (27.5% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
9.979809926502736e+51
6.590286440611974e+52
Results
15.0ms96×0valid
Compiler

Compiled 238 to 180 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 2.0ms (21.7% of total)
ival-log: 2.0ms (21.7% of total)
ival-add: 2.0ms (21.7% of total)
ival-mult: 2.0ms (21.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch53.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
5.981823492719401e+236
2.9188937321459444e+239
20.0ms
-5.028269233025628e+230
-2.2083139866086656e+229
Results
36.0ms240×0valid
Compiler

Compiled 475 to 375 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-log: 7.0ms (33.7% of total)
ival-add: 7.0ms (33.7% of total)
ival-mult: 5.0ms (24.1% of total)
ival-sub: 1.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
2.4164339943841783e+184
8.461877744505799e+191
Results
22.0ms144×0valid
Compiler

Compiled 301 to 237 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 5.0ms (38% of total)
ival-log: 4.0ms (30.4% of total)
ival-mult: 3.0ms (22.8% of total)
ival-sub: 1.0ms (7.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
4.148359729440905e+100
1.5931287301487135e+109
Results
21.0ms144×0valid
Compiler

Compiled 292 to 228 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-log: 4.0ms (36.1% of total)
ival-add: 3.0ms (27% of total)
ival-mult: 3.0ms (27% of total)
ival-sub: 1.0ms (9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-3.8104884920184193e+152
-1.9188497007072605e+152
Results
15.0ms64×0valid
Compiler

Compiled 136 to 110 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-log: 2.0ms (39.3% of total)
ival-add: 1.0ms (19.7% of total)
ival-mult: 1.0ms (19.7% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
-1.448298435022031e-302
1.1411049043708851e-294
12.0ms
-3.8104884920184193e+152
-1.9188497007072605e+152
Results
38.0ms240×0valid
Compiler

Compiled 370 to 315 computations (14.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-add: 8.0ms (39.1% of total)
ival-log: 6.0ms (29.4% of total)
ival-mult: 5.0ms (24.5% of total)
ival-sub: 1.0ms (4.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
4.148359729440905e+100
1.5931287301487135e+109
Results
23.0ms144×0valid
Compiler

Compiled 220 to 192 computations (12.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (38.7% of total)
ival-log: 4.0ms (31% of total)
ival-add: 3.0ms (23.2% of total)
ival-sub: 1.0ms (7.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify20.0ms (0.2%)

Algorithm
egg-herbie
Rules
64×+-commutative_binary64
14×*-commutative_binary64
10×if-if-or-not_binary32
sub-neg_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111335
1165335
2170335
3172335
4173335
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(if (<=.f64 y #s(literal 7371860416799003/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y))) (+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) b)) (*.f64 y i)))
(if (<=.f64 x #s(literal -64000000000000002617656333360729472082305263249043005309441389660294058463487854563479168290447692631908048758256500060648418098323065980171155979951345747416022694322108399280297872928630898688 binary64)) (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i)) (if (<=.f64 x #s(literal 6000000000000000370782245804499952594018754467297514181671347493134011033555148260471482559568707560810653100796890040135830809758457765038805613621649921658162193381258244930255430467178975524290560 binary64)) (+.f64 (+.f64 (+.f64 (+.f64 z t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i)) (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))))
(if (<=.f64 x #s(literal -58000000000000002625517383216620126952543726343563946157655760859282414554536437637279754772306853430070663873882831249310644441845805228025907901961020322602537829553749340794375282021839667200 binary64)) (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i)) (if (<=.f64 x #s(literal 69999999999999996181676977862070600356532968313952046399071248938740639666666610632646045328567199542299251442448003545281640658068991690138515648244404748399252581693673461047567202641058689296891904 binary64)) (+.f64 (+.f64 (+.f64 z a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i)) (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))))
(if (<=.f64 x #s(literal -64000000000000002617656333360729472082305263249043005309441389660294058463487854563479168290447692631908048758256500060648418098323065980171155979951345747416022694322108399280297872928630898688 binary64)) (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i)) (if (<=.f64 x #s(literal 15499999999999999275917157741862398350852461624367925092272774888328438371777695371606723719520392524746263337165894652201352885428762677752746599289022706153439066807390518247694171061467159837278208 binary64)) (+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) b)) (*.f64 y i)) (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))))
(if (<=.f64 b #s(literal -339999999999999980818324164662483574508169097904393636575846265041377820776555610112 binary64)) (+.f64 (+.f64 z (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i)) (if (<=.f64 b #s(literal 10499999999999999518516445148840975139469496905812123017373437270365319466626279860204774768701955551694956750591279514086794120380022784 binary64)) (+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) #s(literal -1/2 binary64))) (*.f64 y i)) (+.f64 (+.f64 z (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))))
(if (<=.f64 z #s(literal -10500000000000000163373869359401851754816114667671145050382591094523754702229934884282346594107998200600165949112320 binary64)) (+.f64 (+.f64 a z) (*.f64 y i)) (+.f64 (+.f64 a (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i)))
(if (<=.f64 y #s(literal 35999999999999999755954152277018607152621503909986304 binary64)) (+.f64 (+.f64 z a) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (+.f64 (+.f64 a z) (*.f64 y i)))
(if (<=.f64 y #s(literal 14499999999999999901703755778243605658694772408188928 binary64)) (+.f64 a (+.f64 z (*.f64 (log.f64 c) b))) (+.f64 (+.f64 a z) (*.f64 y i)))
(if (<=.f64 b #s(literal -50000000000000004978322216300255859307940775126853620144447441444144841048874767756413678479557303886746221726677047727400523075720944169118017456955450051308142127074213512132587827598340471265285454644683672657941808345790808064 binary64)) (*.f64 (log.f64 c) b) (if (<=.f64 b #s(literal 12200000000000000535664881536119018356396997693613908653441350570130446669860364790898152020998211992776423612002064875798884923137065594600334569261869254824510864345269908429176852174882011719201982916197419533047414676142456933921587200 binary64)) (+.f64 (+.f64 a z) (*.f64 y i)) (*.f64 (log.f64 c) b)))
(if (<=.f64 x #s(literal 800000000000000058047337277855022688824273943024909825965467518717768137993655125956165454539459356139250078149494057692906780253090993101719229262403145743377009961460215385664256879634677760 binary64)) (+.f64 (+.f64 a z) (*.f64 y i)) (*.f64 x (log.f64 y)))
(+.f64 (+.f64 a z) (*.f64 y i))
(if (<=.f64 a #s(literal 18999999999999998444963470117641451090879953348211959890443584225875511350391060305153096316948624441344 binary64)) (+.f64 z (*.f64 y i)) (+.f64 a (*.f64 y i)))
(if (<=.f64 z #s(literal -380000000000000003620107409960305702657642723651589156679263038168328946859750849240582663775132887638692543607600365478853296379851862503347706365214720 binary64)) z (+.f64 a (*.f64 y i)))
(if (<=.f64 z #s(literal -200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) z (if (<=.f64 z #s(literal -5404723255734155/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (*.f64 i y) a))
(if (<=.f64 a #s(literal 8000000000000000271991933704022596759551797757703184381707445718703002173785606666341932931045867567370469376 binary64)) z a)
a
Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))
(if (<=.f64 y #s(literal 7371860416799003/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (+.f64 (+.f64 (+.f64 a (+.f64 t z)) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (*.f64 x (log.f64 y))) (+.f64 (+.f64 (+.f64 z a) (*.f64 (log.f64 c) b)) (*.f64 y i)))
(if (<=.f64 y #s(literal 7371860416799003/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (+.f64 (*.f64 x (log.f64 y)) (+.f64 (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))) (+.f64 a (+.f64 z t)))) (+.f64 (*.f64 y i) (+.f64 (+.f64 z a) (*.f64 b (log.f64 c)))))
(if (<=.f64 x #s(literal -64000000000000002617656333360729472082305263249043005309441389660294058463487854563479168290447692631908048758256500060648418098323065980171155979951345747416022694322108399280297872928630898688 binary64)) (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i)) (if (<=.f64 x #s(literal 6000000000000000370782245804499952594018754467297514181671347493134011033555148260471482559568707560810653100796890040135830809758457765038805613621649921658162193381258244930255430467178975524290560 binary64)) (+.f64 (+.f64 (+.f64 (+.f64 z t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i)) (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))))
(if (<=.f64 x #s(literal -64000000000000002617656333360729472082305263249043005309441389660294058463487854563479168290447692631908048758256500060648418098323065980171155979951345747416022694322108399280297872928630898688 binary64)) (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i)) (if (<=.f64 x #s(literal 6000000000000000370782245804499952594018754467297514181671347493134011033555148260471482559568707560810653100796890040135830809758457765038805613621649921658162193381258244930255430467178975524290560 binary64)) (+.f64 (*.f64 y i) (+.f64 (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c)) (+.f64 a (+.f64 z t)))) (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) (*.f64 y i))))
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(if (<=.f64 y #s(literal 35999999999999999755954152277018607152621503909986304 binary64)) (+.f64 (+.f64 z a) (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64)))) (+.f64 (+.f64 a z) (*.f64 y i)))
(if (<=.f64 y #s(literal 35999999999999999755954152277018607152621503909986304 binary64)) (+.f64 (*.f64 (log.f64 c) (+.f64 b #s(literal -1/2 binary64))) (+.f64 z a)) (+.f64 (*.f64 y i) (+.f64 z a)))
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(if (<=.f64 y #s(literal 14499999999999999901703755778243605658694772408188928 binary64)) (+.f64 a (+.f64 z (*.f64 b (log.f64 c)))) (+.f64 (*.f64 y i) (+.f64 z a)))
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(+.f64 (+.f64 a z) (*.f64 y i))
(+.f64 (*.f64 y i) (+.f64 z a))
(if (<=.f64 a #s(literal 18999999999999998444963470117641451090879953348211959890443584225875511350391060305153096316948624441344 binary64)) (+.f64 z (*.f64 y i)) (+.f64 a (*.f64 y i)))
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(if (<=.f64 z #s(literal -200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) z (if (<=.f64 z #s(literal -5404723255734155/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (*.f64 i y) a))
(if (<=.f64 z #s(literal -200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) z (if (<=.f64 z #s(literal -5404723255734155/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (*.f64 y i) a))
(if (<=.f64 a #s(literal 8000000000000000271991933704022596759551797757703184381707445718703002173785606666341932931045867567370469376 binary64)) z a)
a

soundness1.6s (12.4%)

Rules
6304×+-lowering-+.f64
6304×+-lowering-+.f32
6012×+-lowering-+.f64
6012×+-lowering-+.f32
5178×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05589783
119318841
277898810
089358810
072516566
1251214856
0844614856
074516739
1260815135
0832815135
03615274
112114717
252164597
081114597
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1397 to 847 computations (39.4% saved)

preprocess85.0ms (0.7%)

Remove

(sort z t a)

Compiler

Compiled 1000 to 374 computations (62.6% saved)

end0.0ms (0%)

Profiling

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