Numeric.SpecFunctions:logGammaL from math-functions-0.1.5.2

Time bar (total: 16.7s)

analyze134.0ms (0.8%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%74.8%0.2%0%24.9%0%3
0%0%37.4%0.2%0%62.3%0%4
0%0%18.7%0.2%0%81.1%0%5
0%0%18.7%0.2%0%81.1%0%6
0%0%18.7%0.2%0%81.1%0%7
10%1.6%14%0.2%0%84.2%0%8
10%1.6%14%0.2%0%84.2%0%9
10%1.6%14%0.2%0%84.2%0%10
10%1.6%14%0.2%0%84.2%0%11
20%3.1%12.5%0.2%0%84.2%0%12
Compiler

Compiled 22 to 16 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-log: 20.0ms (45.8% of total)
ival-add: 12.0ms (27.5% of total)
ival-sub: 6.0ms (13.7% of total)
ival-mult: 5.0ms (11.5% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

sample2.3s (13.9%)

Results
1.3s8256×0valid
529.0ms2066×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-log: 466.0ms (45.1% of total)
ival-add: 240.0ms (23.2% of total)
ival-sub: 222.0ms (21.5% of total)
ival-mult: 84.0ms (8.1% of total)
const: 17.0ms (1.6% of total)
backward-pass: 4.0ms (0.4% of total)
Bogosity

preprocess311.0ms (1.9%)

Algorithm
egg-herbie
Rules
4028×fma-lowering-fma.f32
4028×fma-lowering-fma.f64
3424×fmm-def
1726×sum5-define
1680×sum4-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0103351
1261324
2942317
34808317
01516
12815
27515
325315
477414
5405014
6663414
7744814
8776714
9778914
10778914
0926014
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t)))
Outputs
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t)))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
Call 2
Inputs
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t)))
(+ (- (+ (log (+ (neg x) y)) (log z)) t) (* (- a 1/2) (log t)))
(+ (- (+ (log (+ x (neg y))) (log z)) t) (* (- a 1/2) (log t)))
(+ (- (+ (log (+ x y)) (log (neg z))) t) (* (- a 1/2) (log t)))
(+ (- (+ (log (+ x y)) (log z)) (neg t)) (* (- a 1/2) (log (neg t))))
(+ (- (+ (log (+ x y)) (log z)) t) (* (- (neg a) 1/2) (log t)))
(neg (+ (- (+ (log (+ (neg x) y)) (log z)) t) (* (- a 1/2) (log t))))
(neg (+ (- (+ (log (+ x (neg y))) (log z)) t) (* (- a 1/2) (log t))))
(neg (+ (- (+ (log (+ x y)) (log (neg z))) t) (* (- a 1/2) (log t))))
(neg (+ (- (+ (log (+ x y)) (log z)) (neg t)) (* (- a 1/2) (log (neg t)))))
(neg (+ (- (+ (log (+ x y)) (log z)) t) (* (- (neg a) 1/2) (log t))))
(+ (- (+ (log (+ y x)) (log z)) t) (* (- a 1/2) (log t)))
(+ (- (+ (log (+ z y)) (log x)) t) (* (- a 1/2) (log t)))
(+ (- (+ (log (+ t y)) (log z)) x) (* (- a 1/2) (log x)))
(+ (- (+ (log (+ a y)) (log z)) t) (* (- x 1/2) (log t)))
(+ (- (+ (log (+ x z)) (log y)) t) (* (- a 1/2) (log t)))
(+ (- (+ (log (+ x t)) (log z)) y) (* (- a 1/2) (log y)))
(+ (- (+ (log (+ x a)) (log z)) t) (* (- y 1/2) (log t)))
(+ (- (+ (log (+ x y)) (log t)) z) (* (- a 1/2) (log z)))
(+ (- (+ (log (+ x y)) (log a)) t) (* (- z 1/2) (log t)))
(+ (- (+ (log (+ x y)) (log z)) a) (* (- t 1/2) (log a)))
Outputs
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t)))
(+ (- (log z) t) (fma (+ a -1/2) (log t) (log (+ x y))))
(+ (- (+ (log (+ (neg x) y)) (log z)) t) (* (- a 1/2) (log t)))
(+ (- (log z) t) (fma (+ a -1/2) (log t) (log (- y x))))
(+ (- (+ (log (+ x (neg y))) (log z)) t) (* (- a 1/2) (log t)))
(+ (log z) (- (log (- x y)) (fma (log t) (- 1/2 a) t)))
(+ (- (+ (log (+ x y)) (log (neg z))) t) (* (- a 1/2) (log t)))
(sum4 (log (+ x y)) (log (neg z)) (neg t) (* (+ a -1/2) (log t)))
(+ (- (+ (log (+ x y)) (log z)) (neg t)) (* (- a 1/2) (log (neg t))))
(sum4 (log (+ x y)) (log z) t (* (+ a -1/2) (log (neg t))))
(+ (- (+ (log (+ x y)) (log z)) t) (* (- (neg a) 1/2) (log t)))
(+ (- (log z) t) (fma (log t) (- -1/2 a) (log (+ x y))))
(neg (+ (- (+ (log (+ (neg x) y)) (log z)) t) (* (- a 1/2) (log t))))
(- (fma (log t) (- 1/2 a) t) (+ (log z) (log (- y x))))
(neg (+ (- (+ (log (+ x (neg y))) (log z)) t) (* (- a 1/2) (log t))))
(- (fnmsub (+ a -1/2) (log t) (- (log z) t)) (log (- x y)))
(neg (+ (- (+ (log (+ x y)) (log (neg z))) t) (* (- a 1/2) (log t))))
(+ (fnmsub (+ a -1/2) (log t) (log (neg z))) (- t (log (+ x y))))
(neg (+ (- (+ (log (+ x y)) (log z)) (neg t)) (* (- a 1/2) (log (neg t)))))
(fnmsub (+ a -1/2) (log (neg t)) (sum3 (log (+ x y)) (log z) t))
(neg (+ (- (+ (log (+ x y)) (log z)) t) (* (- (neg a) 1/2) (log t))))
(- (fnmsub (log t) (- -1/2 a) (log (+ x y))) (- (log z) t))
(+ (- (+ (log (+ y x)) (log z)) t) (* (- a 1/2) (log t)))
(+ (- (log z) t) (fma (+ a -1/2) (log t) (log (+ x y))))
(+ (- (+ (log (+ z y)) (log x)) t) (* (- a 1/2) (log t)))
(- (+ (log (+ y z)) (log x)) (fma (log t) (- 1/2 a) t))
(+ (- (+ (log (+ t y)) (log z)) x) (* (- a 1/2) (log x)))
(+ (- (log z) x) (fma (+ a -1/2) (log x) (log (+ y t))))
(+ (- (+ (log (+ a y)) (log z)) t) (* (- x 1/2) (log t)))
(sum4 (log z) (log (+ y a)) (neg t) (* (log t) (+ x -1/2)))
(+ (- (+ (log (+ x z)) (log y)) t) (* (- a 1/2) (log t)))
(sum4 (* (+ a -1/2) (log t)) (log (+ x z)) (log y) (neg t))
(+ (- (+ (log (+ x t)) (log z)) y) (* (- a 1/2) (log y)))
(+ (log (+ x t)) (- (log z) (fnmadd (+ a -1/2) (log y) y)))
(+ (- (+ (log (+ x a)) (log z)) t) (* (- y 1/2) (log t)))
(+ (log z) (- (log (+ x a)) (fnmadd (log t) (+ y -1/2) t)))
(+ (- (+ (log (+ x y)) (log t)) z) (* (- a 1/2) (log z)))
(+ (log t) (- (log (+ x y)) (fnmadd (log z) (+ a -1/2) z)))
(+ (- (+ (log (+ x y)) (log a)) t) (* (- z 1/2) (log t)))
(+ (log a) (- (log (+ x y)) (fnmadd (log t) (+ z -1/2) t)))
(+ (- (+ (log (+ x y)) (log z)) a) (* (- t 1/2) (log a)))
(+ (log z) (- (log (+ x y)) (fnmadd (log a) (+ t -1/2) a)))
Symmetry

(sort x y)

explain183.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 a #s(literal 1/2 binary64))
00-0-#s(literal 1/2 binary64)
00-0-(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
00-0-(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
00-0-(+.f64 x y)
00-0-y
00-0-(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
00-0-z
00-0-(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
00-0-(log.f64 z)
00-0-(log.f64 (+.f64 x y))
00-0-t
00-0-a
00-0-(log.f64 t)
Results
128.0ms512×0valid
Compiler

Compiled 149 to 47 computations (68.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-log: 19.0ms (46.2% of total)
ival-add: 12.0ms (29.2% of total)
ival-sub: 5.0ms (12.1% of total)
ival-mult: 4.0ms (9.7% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 21 to 15 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
99.6%
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
Compiler

Compiled 42 to 30 computations (28.6% saved)

simplify161.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (+.f64 x y))
cost-diff0
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
cost-diff0
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
cost-diff0
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
cost-diff0
(-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
cost-diff0
(+.f64 x y)
cost-diff0
(log.f64 (+.f64 x y))
cost-diff0
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
Rules
1924×fmsub-define
1808×fnmsub-define
1656×fmm-def
1600×fma-lowering-fma.f32
1600×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020119
142115
2127115
3463113
41747113
55263113
08108113
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (log (+ x y)) (- (log z) (+ t (* (log t) (- 1/2 a)))))
(log (+ x y))
(+ x y)
x
y
(- (log z) (+ t (* (log t) (- 1/2 a))))
(log z)
z
(+ t (* (log t) (- 1/2 a)))
t
(* (log t) (- 1/2 a))
(log t)
(- 1/2 a)
1/2
a
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t)))
(- (+ (log (+ x y)) (log z)) t)
(+ (log (+ x y)) (log z))
(log (+ x y))
(+ x y)
x
y
(log z)
z
t
(* (- a 1/2) (log t))
(- a 1/2)
a
1/2
(log t)
Outputs
(+ (log (+ x y)) (- (log z) (+ t (* (log t) (- 1/2 a)))))
(+.f64 (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
(log (+ x y))
(log.f64 (+.f64 x y))
(+ x y)
(+.f64 x y)
x
y
(- (log z) (+ t (* (log t) (- 1/2 a))))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 z) t))
(log z)
(log.f64 z)
z
(+ t (* (log t) (- 1/2 a)))
(-.f64 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
t
(* (log t) (- 1/2 a))
(*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))
(log t)
(log.f64 t)
(- 1/2 a)
(-.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t)))
(+.f64 (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
(- (+ (log (+ x y)) (log z)) t)
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t))
(+ (log (+ x y)) (log z))
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(log (+ x y))
(log.f64 (+.f64 x y))
(+ x y)
(+.f64 x y)
x
y
(log z)
(log.f64 z)
z
t
(* (- a 1/2) (log t))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(- a 1/2)
(+.f64 a #s(literal -1/2 binary64))
a
1/2
#s(literal 1/2 binary64)
(log t)
(log.f64 t)

localize163.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
accuracy99.9%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
accuracy99.8%
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
accuracy99.3%
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
accuracy100.0%
(log.f64 t)
accuracy99.9%
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
accuracy99.8%
(-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
accuracy99.8%
(*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))
Results
137.0ms256×0valid
Compiler

Compiled 125 to 21 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-log: 36.0ms (69.5% of total)
ival-add: 7.0ms (13.5% of total)
ival-sub: 5.0ms (9.6% of total)
ival-mult: 3.0ms (5.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series160.0ms (1%)

Counts
10 → 348
Calls
Call 1
Inputs
#<alt (+ (log (+ x y)) (- (log z) (+ t (* (log t) (- 1/2 a)))))>
#<alt (log (+ x y))>
#<alt (+ x y)>
#<alt (- (log z) (+ t (* (log t) (- 1/2 a))))>
#<alt (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t)))>
#<alt (- (+ (log (+ x y)) (log z)) t)>
#<alt (+ (log (+ x y)) (log z))>
#<alt (* (log t) (- 1/2 a))>
#<alt (log t)>
#<alt (* (- a 1/2) (log t))>
Outputs
#<alt (- (+ (log y) (log z)) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log y) (+ (log z) (/ x y))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log z) (* -1 (log (/ 1 x)))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log x) (log z)) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log x) (+ (log z) (/ y x))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log z) (* -1 (log (/ 1 y)))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a))))>
#<alt (- (+ (log z) (log (+ x y))) (* (log t) (- 1/2 a)))>
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a)))>
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a)))>
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a)))>
#<alt (* -1 t)>
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))>
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))>
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))>
#<alt (* -1 t)>
#<alt (* -1 (* t (+ 1 (* -1 (/ (- (+ (log z) (log (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (- (+ (log z) (log (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (- (+ (log z) (log (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t)))))>
#<alt (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t))))>
#<alt (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t))))>
#<alt (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t))))>
#<alt (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t))))>
#<alt (* a (log t))>
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#<alt (+ (* -1 (* a (log t))) (* 1/2 (log t)))>
#<alt (+ (* -1 (* a (log t))) (* 1/2 (log t)))>
#<alt (+ (* -1 (* a (log t))) (* 1/2 (log t)))>
#<alt (* -1 (* a (log t)))>
#<alt (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))>
#<alt (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))>
#<alt (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))>
#<alt (* -1 (* a (log t)))>
#<alt (* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))>
#<alt (* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))>
#<alt (* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))>
#<alt (log t)>
#<alt (log t)>
#<alt (log t)>
#<alt (log t)>
#<alt (* -1 (log (/ 1 t)))>
#<alt (* -1 (log (/ 1 t)))>
#<alt (* -1 (log (/ 1 t)))>
#<alt (* -1 (log (/ 1 t)))>
#<alt (+ (log -1) (* -1 (log (/ -1 t))))>
#<alt (+ (log -1) (* -1 (log (/ -1 t))))>
#<alt (+ (log -1) (* -1 (log (/ -1 t))))>
#<alt (+ (log -1) (* -1 (log (/ -1 t))))>
#<alt (* -1/2 (log t))>
#<alt (+ (* -1/2 (log t)) (* a (log t)))>
#<alt (+ (* -1/2 (log t)) (* a (log t)))>
#<alt (+ (* -1/2 (log t)) (* a (log t)))>
#<alt (* a (log t))>
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))>
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))>
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))>
#<alt (* a (log t))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))>
#<alt (* (log t) (- a 1/2))>
#<alt (* (log t) (- a 1/2))>
#<alt (* (log t) (- a 1/2))>
#<alt (* (log t) (- a 1/2))>
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))>
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))>
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))>
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))>
Calls

87 calls:

TimeVariablePointExpression
66.0ms
z
@0
(+ (log (+ x y)) (- (log z) (+ t (* (log t) (- 1/2 a)))))
31.0ms
z
@-inf
(+ (log (+ x y)) (- (log z) (+ t (* (log t) (- 1/2 a)))))
11.0ms
t
@0
(* (log t) (- 1/2 a))
7.0ms
t
@-inf
(* (log t) (- 1/2 a))
7.0ms
z
@inf
(+ (log (+ x y)) (- (log z) (+ t (* (log t) (- 1/2 a)))))

rewrite417.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
3592×*-lowering-*.f32
3592×*-lowering-*.f64
3076×/-lowering-/.f32
3076×/-lowering-/.f64
1844×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02076
114573
2156073
0839073
Stop Event
iter limit
node limit
Counts
10 → 493
Calls
Call 1
Inputs
(+ (log (+ x y)) (- (log z) (+ t (* (log t) (- 1/2 a)))))
(log (+ x y))
(+ x y)
(- (log z) (+ t (* (log t) (- 1/2 a))))
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t)))
(- (+ (log (+ x y)) (log z)) t)
(+ (log (+ x y)) (log z))
(* (log t) (- 1/2 a))
(log t)
(* (- a 1/2) (log t))
Outputs
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(+.f64 (log.f64 z) (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (log.f64 (+.f64 x y))))
(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (log.f64 (+.f64 x y)))
(+.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (fma.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) a)) (log.f64 t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(+.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (-.f64 #s(literal 1/2 binary64) a) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(+.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 #s(literal 0 binary64) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (fma.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t))))) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))))))
(+.f64 (fma.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x y) z))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t))))) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))))))
(+.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x y) z))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))))))
(-.f64 (log.f64 z) (-.f64 (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (log.f64 (+.f64 x y))))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))
(-.f64 (-.f64 (log.f64 z) t) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y))))
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) (/.f64 (pow.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(fma.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y)))))) (-.f64 #s(literal 0 binary64) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t (+.f64 t (log.f64 (*.f64 (+.f64 x y) z)))))) (neg.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (+.f64 (+.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))) (log.f64 (+.f64 x y)))
(fma.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x y) z))) (-.f64 #s(literal 0 binary64) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t (log.f64 (*.f64 (+.f64 x y) z)))) (neg.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (log.f64 (+.f64 x y)))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (-.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (log.f64 (+.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x y)) (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))))
(/.f64 (*.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (+.f64 (log.f64 (/.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) (+.f64 (log.f64 (/.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))) (*.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y))))) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))))) (*.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y))))) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (*.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y))))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y))))) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 (+.f64 x y) z))) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))) (*.f64 (log.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 (+.f64 x y) z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (*.f64 (log.f64 (/.f64 (+.f64 x y) z)) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (-.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (log.f64 (+.f64 x y)))))))
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(*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))
(*.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t))
(log.f64 t)
(+.f64 (*.f64 (log.f64 t) a) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(+.f64 (*.f64 a (log.f64 t)) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))
(fma.f64 (log.f64 t) a (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(fma.f64 a (log.f64 t) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))
(/.f64 (*.f64 (log.f64 t) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))) (+.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 (log.f64 t) (+.f64 (*.f64 a a) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/2 binary64) a))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64)) (log.f64 t)) (+.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/4 binary64)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))
(/.f64 (neg.f64 (*.f64 (log.f64 t) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) a)))))
(/.f64 (neg.f64 (*.f64 (log.f64 t) (+.f64 (*.f64 a a) #s(literal -1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) a)))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64)) (log.f64 t))) (neg.f64 (+.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) a)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/4 binary64)) (log.f64 t))) (neg.f64 (+.f64 #s(literal 1/2 binary64) a)))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))

simplify351.0ms (2.1%)

Algorithm
egg-herbie
Rules
4920×+-lowering-+.f64
4920×+-lowering-+.f32
2148×*-lowering-*.f32
2148×*-lowering-*.f64
1512×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04835226
115944710
266884610
080994610
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
(- (+ (log y) (log z)) (+ t (* (log t) (- 1/2 a))))
(- (+ (log y) (+ (log z) (/ x y))) (+ t (* (log t) (- 1/2 a))))
(- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) (+ t (* (log t) (- 1/2 a))))
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y
(+ x y)
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x
(* x (+ 1 (/ y x)))
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(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
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x
(+ x y)
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y
(* y (+ 1 (/ x y)))
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y
(* -1 (* y (- (* -1 (/ x y)) 1)))
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(* a (log t))
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(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (log t))
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(- (+ (log y) (log z)) t)
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(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) t)
(- (+ (log x) (log z)) t)
(- (+ (log x) (+ (log z) (/ y x))) t)
(- (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) t)
(- (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) t)
(- (+ (log z) (* -1 (log (/ 1 y)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))) t)
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) t)
(- (+ (log z) (log (+ x y))) t)
(- (+ (log z) (log (+ x y))) t)
(- (+ (log z) (log (+ x y))) t)
(- (+ (log z) (log (+ x y))) t)
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t)
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t)
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t)
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t)
(+ (log z) (log (+ x y)))
(+ (log z) (+ (log (+ x y)) (* -1 t)))
(+ (log z) (+ (log (+ x y)) (* -1 t)))
(+ (log z) (+ (log (+ x y)) (* -1 t)))
(* -1 t)
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t)))))
(+ (log y) (log z))
(+ (log y) (+ (log z) (/ x y)))
(+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))))
(+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))
(+ (log z) (* -1 (log (/ 1 x))))
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x)))
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))
(+ (log -1) (+ (log z) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))))
(+ (log x) (log z))
(+ (log x) (+ (log z) (/ y x)))
(+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))))
(+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))))
(+ (log z) (* -1 (log (/ 1 y))))
(+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y)))
(+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))))
(+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))))
(+ (log -1) (+ (log z) (* -1 (log (/ -1 y)))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)))))
(+ (log z) (log (+ x y)))
(+ (log z) (log (+ x y)))
(+ (log z) (log (+ x y)))
(+ (log z) (log (+ x y)))
(+ (log (+ x y)) (* -1 (log (/ 1 z))))
(+ (log (+ x y)) (* -1 (log (/ 1 z))))
(+ (log (+ x y)) (* -1 (log (/ 1 z))))
(+ (log (+ x y)) (* -1 (log (/ 1 z))))
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))
(* (log t) (- 1/2 a))
(* (log t) (- 1/2 a))
(* (log t) (- 1/2 a))
(* (log t) (- 1/2 a))
(* -1 (* (log (/ 1 t)) (- 1/2 a)))
(* -1 (* (log (/ 1 t)) (- 1/2 a)))
(* -1 (* (log (/ 1 t)) (- 1/2 a)))
(* -1 (* (log (/ 1 t)) (- 1/2 a)))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))
(* 1/2 (log t))
(+ (* -1 (* a (log t))) (* 1/2 (log t)))
(+ (* -1 (* a (log t))) (* 1/2 (log t)))
(+ (* -1 (* a (log t))) (* 1/2 (log t)))
(* -1 (* a (log t)))
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))
(* -1 (* a (log t)))
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))
(log t)
(log t)
(log t)
(log t)
(* -1 (log (/ 1 t)))
(* -1 (log (/ 1 t)))
(* -1 (log (/ 1 t)))
(* -1 (log (/ 1 t)))
(+ (log -1) (* -1 (log (/ -1 t))))
(+ (log -1) (* -1 (log (/ -1 t))))
(+ (log -1) (* -1 (log (/ -1 t))))
(+ (log -1) (* -1 (log (/ -1 t))))
(* -1/2 (log t))
(+ (* -1/2 (log t)) (* a (log t)))
(+ (* -1/2 (log t)) (* a (log t)))
(+ (* -1/2 (log t)) (* a (log t)))
(* a (log t))
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(* a (log t))
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(* (log t) (- a 1/2))
(* (log t) (- a 1/2))
(* (log t) (- a 1/2))
(* (log t) (- a 1/2))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
Outputs
(- (+ (log y) (log z)) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 z) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log y) (+ (log z) (/ x y))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 z) (+.f64 (/.f64 x y) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (+.f64 (log.f64 z) (*.f64 x (+.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) y) (/.f64 #s(literal 1 binary64) y)))) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (+.f64 (log.f64 z) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))))) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log z) (* -1 (log (/ 1 x)))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 z) (-.f64 (-.f64 (log.f64 x) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 z) (+.f64 (/.f64 y x) (-.f64 (-.f64 (log.f64 x) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (+.f64 (log.f64 z) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y x) x))))) (-.f64 (-.f64 (log.f64 x) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (+.f64 (log.f64 z) (log.f64 x)) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) x)) (*.f64 x x)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y x) x))))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (+.f64 (log.f64 z) (-.f64 (/.f64 y x) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (-.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x)) y) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (-.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))) (-.f64 #s(literal 0 binary64) x)) y) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(- (+ (log x) (log z)) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 z) (-.f64 (-.f64 (log.f64 x) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log x) (+ (log z) (/ y x))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 z) (+.f64 (/.f64 y x) (-.f64 (-.f64 (log.f64 x) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(- (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (+.f64 (log.f64 z) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y x) x))))) (-.f64 (-.f64 (log.f64 x) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 x) (+.f64 (log.f64 z) (-.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))))
(- (+ (log z) (* -1 (log (/ 1 y)))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 z) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 z) (+.f64 (/.f64 x y) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (+.f64 (log.f64 z) (*.f64 x (+.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) y) (/.f64 #s(literal 1 binary64) y)))) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (+.f64 (log.f64 z) (log.f64 y)) (-.f64 (+.f64 (*.f64 x (+.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) y) (/.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y)) (*.f64 y y))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) (+ t (* (log t) (- 1/2 a))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 x y) (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) x) y)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y))) y))) y) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (-.f64 (log.f64 (+.f64 y x)) (log.f64 (/.f64 #s(literal -1 binary64) z))) (-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (-.f64 (log.f64 (+.f64 y x)) (log.f64 (/.f64 #s(literal -1 binary64) z))) (-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (-.f64 (log.f64 (+.f64 y x)) (log.f64 (/.f64 #s(literal -1 binary64) z))) (-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a))))
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(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))
(*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))
(*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))))
(* 1/2 (log t))
(*.f64 (log.f64 t) #s(literal 1/2 binary64))
(+ (* -1 (* a (log t))) (* 1/2 (log t)))
(*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))
(+ (* -1 (* a (log t))) (* 1/2 (log t)))
(*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))
(+ (* -1 (* a (log t))) (* 1/2 (log t)))
(*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))
(* -1 (* a (log t)))
(*.f64 a (-.f64 #s(literal 0 binary64) (log.f64 t)))
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))
(*.f64 a (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)))
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))
(*.f64 a (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)))
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))
(*.f64 a (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)))
(* -1 (* a (log t)))
(*.f64 a (-.f64 #s(literal 0 binary64) (log.f64 t)))
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))
(*.f64 (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))
(*.f64 (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))
(*.f64 (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) (-.f64 #s(literal 0 binary64) a))
(log t)
(log.f64 t)
(log t)
(log.f64 t)
(log t)
(log.f64 t)
(log t)
(log.f64 t)
(* -1 (log (/ 1 t)))
(log.f64 t)
(* -1 (log (/ 1 t)))
(log.f64 t)
(* -1 (log (/ 1 t)))
(log.f64 t)
(* -1 (log (/ 1 t)))
(log.f64 t)
(+ (log -1) (* -1 (log (/ -1 t))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))
(+ (log -1) (* -1 (log (/ -1 t))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))
(+ (log -1) (* -1 (log (/ -1 t))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))
(+ (log -1) (* -1 (log (/ -1 t))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))
(* -1/2 (log t))
(*.f64 (log.f64 t) #s(literal -1/2 binary64))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(* a (log t))
(*.f64 (log.f64 t) a)
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)))
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)))
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)))
(* a (log t))
(*.f64 (log.f64 t) a)
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(*.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(*.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(*.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a))
(* (log t) (- a 1/2))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(* (log t) (- a 1/2))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(* (log t) (- a 1/2))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(* (log t) (- a 1/2))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (+.f64 a #s(literal -1/2 binary64)))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (+.f64 a #s(literal -1/2 binary64)))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (+.f64 a #s(literal -1/2 binary64)))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (+.f64 a #s(literal -1/2 binary64)))

eval137.0ms (0.8%)

Compiler

Compiled 37708 to 2458 computations (93.5% saved)

prune164.0ms (1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New91720937
Fresh000
Picked202
Done000
Total91920939
Accuracy
99.9%
Counts
939 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.7%
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
38.4%
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))))
52.3%
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) a)) (*.f64 (-.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)))) (*.f64 (-.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (+.f64 #s(literal 1/2 binary64) a)))
47.4%
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a)))) (*.f64 (-.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (log.f64 t)))) (*.f64 (-.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a)))))
36.9%
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a)) (*.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (+.f64 #s(literal 1/2 binary64) a)))
74.7%
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
36.8%
(-.f64 #s(literal 0 binary64) t)
72.7%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/4 binary64)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a)))
77.2%
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
99.5%
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
52.3%
(+.f64 (log.f64 (+.f64 x y)) (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a)) (*.f64 (+.f64 (log.f64 z) t) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)))) (*.f64 (+.f64 (log.f64 z) t) (+.f64 #s(literal 1/2 binary64) a))))
40.5%
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
87.1%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (-.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) (log.f64 t)) (-.f64 #s(literal 0 binary64) a)))
42.3%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
88.0%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
99.5%
(+.f64 (log.f64 z) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
99.5%
(+.f64 (log.f64 y) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
39.1%
(*.f64 (log.f64 t) a)
87.9%
(*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
87.1%
(*.f64 a (+.f64 (/.f64 (log.f64 z) a) (-.f64 (/.f64 (log.f64 (+.f64 y x)) a) (+.f64 (/.f64 t a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))))))
Compiler

Compiled 1114 to 678 computations (39.1% saved)

simplify163.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (-.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) (log.f64 t)) (-.f64 #s(literal 0 binary64) a)))
cost-diff128
(/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a))
cost-diff512
(*.f64 (-.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) (log.f64 t)) (-.f64 #s(literal 0 binary64) a))
cost-diff6272
(-.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) (log.f64 t))
cost-diff0
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)
cost-diff0
(log.f64 t)
cost-diff0
(+.f64 a #s(literal -1/2 binary64))
cost-diff6272
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
cost-diff0
(*.f64 (log.f64 t) a)
cost-diff0
(+.f64 x y)
cost-diff0
(log.f64 (+.f64 x y))
cost-diff0
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
cost-diff0
(-.f64 #s(literal 0 binary64) t)
cost-diff0
(-.f64 (log.f64 y) t)
cost-diff0
(log.f64 z)
cost-diff0
(+.f64 (log.f64 z) (-.f64 (log.f64 y) t))
cost-diff0
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Rules
1586×*-lowering-*.f32
1586×*-lowering-*.f64
1544×+-lowering-+.f64
1544×+-lowering-+.f32
1426×--lowering--.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035226
172219
2176218
3658214
43351203
56593203
08159203
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (+ (log z) (- (log y) t)) (* (- a 1/2) (log t)))
(+ (log z) (- (log y) t))
(log z)
z
(- (log y) t)
(log y)
y
t
(* (- a 1/2) (log t))
(- a 1/2)
a
1/2
(log t)
(- 0 t)
0
t
(+ (log (+ x y)) (* (log t) a))
(log (+ x y))
(+ x y)
x
y
(* (log t) a)
(log t)
t
a
(+ (* (+ a -1/2) (log t)) (- (log (* (+ x y) z)) t))
(+ a -1/2)
a
-1/2
(log t)
t
(- (log (* (+ x y) z)) t)
(log (* (+ x y) z))
(* (+ x y) z)
(+ x y)
x
y
z
(+ (log (+ x y)) (* (- (/ (+ (- (log z) t) (* (log t) -1/2)) (- 0 a)) (log t)) (- 0 a)))
(log (+ x y))
(+ x y)
x
y
(* (- (/ (+ (- (log z) t) (* (log t) -1/2)) (- 0 a)) (log t)) (- 0 a))
(- (/ (+ (- (log z) t) (* (log t) -1/2)) (- 0 a)) (log t))
(/ (+ (- (log z) t) (* (log t) -1/2)) (- 0 a))
(+ (- (log z) t) (* (log t) -1/2))
(- (log z) t)
(log z)
z
t
(* (log t) -1/2)
(log t)
-1/2
(- 0 a)
0
a
Outputs
(+ (+ (log z) (- (log y) t)) (* (- a 1/2) (log t)))
(+.f64 (log.f64 y) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 z) t)))
(+ (log z) (- (log y) t))
(+.f64 (log.f64 z) (-.f64 (log.f64 y) t))
(log z)
(log.f64 z)
z
(- (log y) t)
(-.f64 (log.f64 y) t)
(log y)
(log.f64 y)
y
t
(* (- a 1/2) (log t))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(- a 1/2)
(+.f64 a #s(literal -1/2 binary64))
a
1/2
#s(literal 1/2 binary64)
(log t)
(log.f64 t)
(- 0 t)
(-.f64 #s(literal 0 binary64) t)
0
#s(literal 0 binary64)
t
(+ (log (+ x y)) (* (log t) a))
(+.f64 (log.f64 (+.f64 y x)) (*.f64 a (log.f64 t)))
(log (+ x y))
(log.f64 (+.f64 y x))
(+ x y)
(+.f64 y x)
x
y
(* (log t) a)
(*.f64 a (log.f64 t))
(log t)
(log.f64 t)
t
a
(+ (* (+ a -1/2) (log t)) (- (log (* (+ x y) z)) t))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(+ a -1/2)
(+.f64 a #s(literal -1/2 binary64))
a
-1/2
#s(literal -1/2 binary64)
(log t)
(log.f64 t)
t
(- (log (* (+ x y) z)) t)
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)
(log (* (+ x y) z))
(log.f64 (*.f64 z (+.f64 y x)))
(* (+ x y) z)
(*.f64 z (+.f64 y x))
(+ x y)
(+.f64 y x)
x
y
z
(+ (log (+ x y)) (* (- (/ (+ (- (log z) t) (* (log t) -1/2)) (- 0 a)) (log t)) (- 0 a)))
(+.f64 (log.f64 (+.f64 y x)) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 z) t)))
(log (+ x y))
(log.f64 (+.f64 y x))
(+ x y)
(+.f64 y x)
x
y
(* (- (/ (+ (- (log z) t) (* (log t) -1/2)) (- 0 a)) (log t)) (- 0 a))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 z) t))
(- (/ (+ (- (log z) t) (* (log t) -1/2)) (- 0 a)) (log t))
(+.f64 (/.f64 (-.f64 t (log.f64 z)) a) (*.f64 (log.f64 t) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))))
(/ (+ (- (log z) t) (* (log t) -1/2)) (- 0 a))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 t)) (-.f64 t (log.f64 z))) a)
(+ (- (log z) t) (* (log t) -1/2))
(+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(- (log z) t)
(-.f64 (log.f64 z) t)
(log z)
(log.f64 z)
z
t
(* (log t) -1/2)
(*.f64 (log.f64 t) #s(literal -1/2 binary64))
(log t)
(log.f64 t)
-1/2
#s(literal -1/2 binary64)
(- 0 a)
(-.f64 #s(literal 0 binary64) a)
0
#s(literal 0 binary64)
a

localize1.6s (9.8%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (-.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) (log.f64 t)) (-.f64 #s(literal 0 binary64) a)))
accuracy99.8%
(/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a))
accuracy99.7%
(+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
accuracy87.2%
(*.f64 (-.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) (log.f64 t)) (-.f64 #s(literal 0 binary64) a))
accuracy100.0%
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)
accuracy100.0%
(*.f64 (+.f64 x y) z)
accuracy99.7%
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
accuracy75.2%
(log.f64 (*.f64 (+.f64 x y) z))
accuracy100.0%
(log.f64 (+.f64 x y))
accuracy100.0%
(log.f64 t)
accuracy100.0%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
accuracy99.6%
(*.f64 (log.f64 t) a)
accuracy100.0%
(-.f64 #s(literal 0 binary64) t)
accuracy100.0%
(-.f64 (log.f64 y) t)
accuracy99.9%
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
accuracy99.8%
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
accuracy99.7%
(+.f64 (log.f64 z) (-.f64 (log.f64 y) t))
Results
1.6s256×0valid
Compiler

Compiled 241 to 35 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-log: 1.4s (97.3% of total)
ival-add: 12.0ms (0.8% of total)
ival-mult: 12.0ms (0.8% of total)
ival-sub: 9.0ms (0.6% of total)
compiled-spec: 3.0ms (0.2% of total)
ival-div: 2.0ms (0.1% of total)
const: 1.0ms (0.1% of total)
backward-pass: 0.0ms (0% of total)

series391.0ms (2.3%)

Counts
21 → 672
Calls
Call 1
Inputs
#<alt (+ (+ (log z) (- (log y) t)) (* (- a 1/2) (log t)))>
#<alt (+ (log z) (- (log y) t))>
#<alt (log z)>
#<alt (- (log y) t)>
#<alt (- 0 t)>
#<alt (+ (log (+ x y)) (* (log t) a))>
#<alt (log (+ x y))>
#<alt (+ x y)>
#<alt (* (log t) a)>
#<alt (+ (* (+ a -1/2) (log t)) (- (log (* (+ x y) z)) t))>
#<alt (+ a -1/2)>
#<alt (log t)>
#<alt (- (log (* (+ x y) z)) t)>
#<alt (- (/ (+ (- (log z) t) (* (log t) -1/2)) (- 0 a)) (log t))>
#<alt (* (- (/ (+ (- (log z) t) (* (log t) -1/2)) (- 0 a)) (log t)) (- 0 a))>
#<alt (/ (+ (- (log z) t) (* (log t) -1/2)) (- 0 a))>
#<alt (+ (log (+ x y)) (* (- (/ (+ (- (log z) t) (* (log t) -1/2)) (- 0 a)) (log t)) (- 0 a)))>
#<alt (* (- a 1/2) (log t))>
#<alt (log (* (+ x y) z))>
#<alt (* (+ x y) z)>
#<alt (+ (- (log z) t) (* (log t) -1/2))>
Outputs
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)>
#<alt (- (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)>
#<alt (- (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)>
#<alt (- (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)>
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t)>
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t)>
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t)>
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t)>
#<alt (+ (log y) (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ (log y) (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2)))))>
#<alt (+ (log y) (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2)))))>
#<alt (+ (log y) (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2)))))>
#<alt (* -1 t)>
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log y) t) (/ (log z) t))) 1))>
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log y) t) (/ (log z) t))) 1))>
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log y) t) (/ (log z) t))) 1))>
#<alt (* -1 t)>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))>
#<alt (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t)>
#<alt (- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t)>
#<alt (- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t)>
#<alt (- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t)>
#<alt (* a (log t))>
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a)))>
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a)))>
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a)))>
#<alt (* a (log t))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a)))))>
#<alt (- (+ (log y) (log z)) t)>
#<alt (- (+ (log y) (log z)) t)>
#<alt (- (+ (log y) (log z)) t)>
#<alt (- (+ (log y) (log z)) t)>
#<alt (- (+ (log y) (* -1 (log (/ 1 z)))) t)>
#<alt (- (+ (log y) (* -1 (log (/ 1 z)))) t)>
#<alt (- (+ (log y) (* -1 (log (/ 1 z)))) t)>
#<alt (- (+ (log y) (* -1 (log (/ 1 z)))) t)>
#<alt (- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) t)>
#<alt (- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) t)>
#<alt (- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) t)>
#<alt (- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) t)>
#<alt (- (+ (log y) (log z)) t)>
#<alt (- (+ (log y) (log z)) t)>
#<alt (- (+ (log y) (log z)) t)>
#<alt (- (+ (log y) (log z)) t)>
#<alt (- (+ (log z) (* -1 (log (/ 1 y)))) t)>
#<alt (- (+ (log z) (* -1 (log (/ 1 y)))) t)>
#<alt (- (+ (log z) (* -1 (log (/ 1 y)))) t)>
#<alt (- (+ (log z) (* -1 (log (/ 1 y)))) t)>
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t)>
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t)>
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t)>
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t)>
#<alt (+ (log y) (log z))>
#<alt (+ (log y) (+ (log z) (* -1 t)))>
#<alt (+ (log y) (+ (log z) (* -1 t)))>
#<alt (+ (log y) (+ (log z) (* -1 t)))>
#<alt (* -1 t)>
#<alt (* t (- (+ (/ (log y) t) (/ (log z) t)) 1))>
#<alt (* t (- (+ (/ (log y) t) (/ (log z) t)) 1))>
#<alt (* t (- (+ (/ (log y) t) (/ (log z) t)) 1))>
#<alt (* -1 t)>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log y) (log z)) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log y) (log z)) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log y) (log z)) t)))))>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (- (log y) t)>
#<alt (- (log y) t)>
#<alt (- (log y) t)>
#<alt (- (log y) t)>
#<alt (- (* -1 (log (/ 1 y))) t)>
#<alt (- (* -1 (log (/ 1 y))) t)>
#<alt (- (* -1 (log (/ 1 y))) t)>
#<alt (- (* -1 (log (/ 1 y))) t)>
#<alt (- (+ (log -1) (* -1 (log (/ -1 y)))) t)>
#<alt (- (+ (log -1) (* -1 (log (/ -1 y)))) t)>
#<alt (- (+ (log -1) (* -1 (log (/ -1 y)))) t)>
#<alt (- (+ (log -1) (* -1 (log (/ -1 y)))) t)>
#<alt (log y)>
#<alt (+ (log y) (* -1 t))>
#<alt (+ (log y) (* -1 t))>
#<alt (+ (log y) (* -1 t))>
#<alt (* -1 t)>
#<alt (* t (- (/ (log y) t) 1))>
#<alt (* t (- (/ (log y) t) 1))>
#<alt (* t (- (/ (log y) t) 1))>
#<alt (* -1 t)>
#<alt (* -1 (* t (+ 1 (* -1 (/ (log y) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (log y) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (log y) t)))))>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (+ (log y) (* a (log t)))>
#<alt (+ (log y) (+ (* a (log t)) (/ x y)))>
#<alt (+ (log y) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))))>
#<alt (+ (log y) (+ (* a (log t)) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))>
#<alt (+ (* -1 (log (/ 1 x))) (* a (log t)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* a (log t)) (/ y x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* a (log t)) (/ y x))))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* a (log t)) (/ y x)))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* a (log t))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* a (log t)) (/ y x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* a (log t)))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* a (log t)))))>
#<alt (+ (log x) (* a (log t)))>
#<alt (+ (log x) (+ (* a (log t)) (/ y x)))>
#<alt (+ (log x) (+ (* a (log t)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))))>
#<alt (+ (log x) (+ (* a (log t)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))))>
#<alt (+ (* -1 (log (/ 1 y))) (* a (log t)))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* a (log t)) (/ x y)))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* a (log t)) (/ x y))))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* a (log t)) (/ x y)))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* a (log t))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (+ (* a (log t)) (/ x y))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* a (log t)))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (* a (log t)))))>
#<alt (+ (log (+ x y)) (* a (log t)))>
#<alt (+ (log (+ x y)) (* a (log t)))>
#<alt (+ (log (+ x y)) (* a (log t)))>
#<alt (+ (log (+ x y)) (* a (log t)))>
#<alt (+ (log (+ x y)) (* -1 (* a (log (/ 1 t)))))>
#<alt (+ (log (+ x y)) (* -1 (* a (log (/ 1 t)))))>
#<alt (+ (log (+ x y)) (* -1 (* a (log (/ 1 t)))))>
#<alt (+ (log (+ x y)) (* -1 (* a (log (/ 1 t)))))>
#<alt (+ (log (+ x y)) (* a (+ (log -1) (* -1 (log (/ -1 t))))))>
#<alt (+ (log (+ x y)) (* a (+ (log -1) (* -1 (log (/ -1 t))))))>
#<alt (+ (log (+ x y)) (* a (+ (log -1) (* -1 (log (/ -1 t))))))>
#<alt (+ (log (+ x y)) (* a (+ (log -1) (* -1 (log (/ -1 t))))))>
#<alt (log (+ x y))>
#<alt (+ (log (+ x y)) (* a (log t)))>
#<alt (+ (log (+ x y)) (* a (log t)))>
#<alt (+ (log (+ x y)) (* a (log t)))>
#<alt (* a (log t))>
#<alt (* a (+ (log t) (/ (log (+ x y)) a)))>
#<alt (* a (+ (log t) (/ (log (+ x y)) a)))>
#<alt (* a (+ (log t) (/ (log (+ x y)) a)))>
#<alt (* a (log t))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (log (+ x y)) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (log (+ x y)) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (log (+ x y)) a)))))>
#<alt (log y)>
#<alt (+ (log y) (/ x y))>
#<alt (+ (log y) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))>
#<alt (+ (log y) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ y x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ y x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))>
#<alt (log x)>
#<alt (+ (log x) (/ y x))>
#<alt (+ (log x) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))>
#<alt (+ (log x) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (+ (* -1 (log (/ 1 y))) (/ x y))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (/ x y)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* a (log t))>
#<alt (* a (log t))>
#<alt (* a (log t))>
#<alt (* a (log t))>
#<alt (* -1 (* a (log (/ 1 t))))>
#<alt (* -1 (* a (log (/ 1 t))))>
#<alt (* -1 (* a (log (/ 1 t))))>
#<alt (* -1 (* a (log (/ 1 t))))>
#<alt (* a (+ (log -1) (* -1 (log (/ -1 t)))))>
#<alt (* a (+ (log -1) (* -1 (log (/ -1 t)))))>
#<alt (* a (+ (log -1) (* -1 (log (/ -1 t)))))>
#<alt (* a (+ (log -1) (* -1 (log (/ -1 t)))))>
#<alt (* a (log t))>
#<alt (* a (log t))>
#<alt (* a (log t))>
#<alt (* a (log t))>
#<alt (* a (log t))>
#<alt (* a (log t))>
#<alt (* a (log t))>
#<alt (* a (log t))>
#<alt (* a (log t))>
#<alt (* a (log t))>
#<alt (* a (log t))>
#<alt (* a (log t))>
#<alt (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)>
#<alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)>
#<alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)>
#<alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)>
#<alt (* a (log t))>
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a)))>
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a)))>
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a)))>
#<alt (* a (log t))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a)))))>
#<alt (+ (log (* z (+ x y))) (* (log t) (- a 1/2)))>
#<alt (+ (log (* z (+ x y))) (+ (* -1 t) (* (log t) (- a 1/2))))>
#<alt (+ (log (* z (+ x y))) (+ (* -1 t) (* (log t) (- a 1/2))))>
#<alt (+ (log (* z (+ x y))) (+ (* -1 t) (* (log t) (- a 1/2))))>
#<alt (* -1 t)>
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log (* z (+ x y))) t)) 1))>
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log (* z (+ x y))) t)) 1))>
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log (* z (+ x y))) t)) 1))>
#<alt (* -1 t)>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))>
#<alt (- (+ (log (* y z)) (* (log t) (- a 1/2))) t)>
#<alt (- (+ (log (* y z)) (+ (* (log t) (- a 1/2)) (/ x y))) t)>
#<alt (- (+ (log (* y z)) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log (* y z)) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t)>
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t)>
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#<alt (+ (log x) (+ (* -1 (* a (- (* -1 (/ (- (+ (log z) (* -1/2 (log t))) t) a)) (log t)))) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))))>
#<alt (+ (* -1 (log (/ 1 y))) (* -1 (* a (- (* -1 (/ (- (+ (log z) (* -1/2 (log t))) t) a)) (log t)))))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* -1 (* a (- (* -1 (/ (- (+ (log z) (* -1/2 (log t))) t) a)) (log t)))) (/ x y)))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* -1 (* a (- (* -1 (/ (- (+ (log z) (* -1/2 (log t))) t) a)) (log t)))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* -1 (* a (- (* -1 (/ (- (+ (log z) (* -1/2 (log t))) t) a)) (log t)))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (* a (- (* -1 (/ (- (+ (log z) (* -1/2 (log t))) t) a)) (log t))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (+ (* -1 (* a (- (* -1 (/ (- (+ (log z) (* -1/2 (log t))) t) a)) (log t)))) (/ x y))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (+ (* -1 (* a (- (* -1 (/ (- (+ (log z) (* -1/2 (log t))) t) a)) (log t)))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (+ (* -1 (* a (- (* -1 (/ (- (+ (log z) (* -1/2 (log t))) t) a)) (log t)))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)))))>
#<alt (+ (log (+ x y)) (* -1 (* a (- (* -1 (/ (- (+ (log z) (* -1/2 (log t))) t) a)) (log t)))))>
#<alt (+ (log (+ x y)) (* -1 (* a (- (* -1 (/ (- (+ (log z) (* -1/2 (log t))) t) a)) (log t)))))>
#<alt (+ (log (+ x y)) (* -1 (* a (- (* -1 (/ (- (+ (log z) (* -1/2 (log t))) t) a)) (log t)))))>
#<alt (+ (log (+ x y)) (* -1 (* a (- (* -1 (/ (- (+ (log z) (* -1/2 (log t))) t) a)) (log t)))))>
#<alt (+ (log (+ x y)) (* -1 (* a (- (* -1 (/ (- (+ (* -1 (log (/ 1 z))) (* -1/2 (log t))) t) a)) (log t)))))>
#<alt (+ (log (+ x y)) (* -1 (* a (- (* -1 (/ (- (+ (* -1 (log (/ 1 z))) (* -1/2 (log t))) t) a)) (log t)))))>
#<alt (+ (log (+ x y)) (* -1 (* a (- (* -1 (/ (- (+ (* -1 (log (/ 1 z))) (* -1/2 (log t))) t) a)) (log t)))))>
#<alt (+ (log (+ x y)) (* -1 (* a (- (* -1 (/ (- (+ (* -1 (log (/ 1 z))) (* -1/2 (log t))) t) a)) (log t)))))>
#<alt (+ (log (+ x y)) (* -1 (* a (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t) a)) (log t)))))>
#<alt (+ (log (+ x y)) (* -1 (* a (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t) a)) (log t)))))>
#<alt (+ (log (+ x y)) (* -1 (* a (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t) a)) (log t)))))>
#<alt (+ (log (+ x y)) (* -1 (* a (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t) a)) (log t)))))>
#<alt (+ (log (+ x y)) (* -1 (* a (- (* -1 (/ (+ (log z) (* -1/2 (log t))) a)) (log t)))))>
#<alt (+ (log (+ x y)) (+ (* -1 t) (* -1 (* a (- (* -1 (/ (+ (log z) (* -1/2 (log t))) a)) (log t))))))>
#<alt (+ (log (+ x y)) (+ (* -1 t) (* -1 (* a (- (* -1 (/ (+ (log z) (* -1/2 (log t))) a)) (log t))))))>
#<alt (+ (log (+ x y)) (+ (* -1 t) (* -1 (* a (- (* -1 (/ (+ (log z) (* -1/2 (log t))) a)) (log t))))))>
#<alt (* -1 t)>
#<alt (* t (- (+ (* -1 (/ (* a (- (* -1 (+ (* 1/2 (/ (log (/ 1 t)) a)) (/ (log z) a))) (* -1 (log (/ 1 t))))) t)) (/ (log (+ x y)) t)) 1))>
#<alt (* t (- (+ (* -1 (/ (* a (- (* -1 (+ (* 1/2 (/ (log (/ 1 t)) a)) (/ (log z) a))) (* -1 (log (/ 1 t))))) t)) (/ (log (+ x y)) t)) 1))>
#<alt (* t (- (+ (* -1 (/ (* a (- (* -1 (+ (* 1/2 (/ (log (/ 1 t)) a)) (/ (log z) a))) (* -1 (log (/ 1 t))))) t)) (/ (log (+ x y)) t)) 1))>
#<alt (* -1 t)>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log (+ x y)) (* -1 (* a (- (* -1 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) (/ (log z) a))) (+ (log -1) (* -1 (log (/ -1 t)))))))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log (+ x y)) (* -1 (* a (- (* -1 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) (/ (log z) a))) (+ (log -1) (* -1 (log (/ -1 t)))))))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log (+ x y)) (* -1 (* a (- (* -1 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) (/ (log z) a))) (+ (log -1) (* -1 (log (/ -1 t)))))))) t)))))>
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)>
#<alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)>
#<alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)>
#<alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)>
#<alt (* a (log t))>
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))>
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))>
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))>
#<alt (* a (log t))>
#<alt (* -1 (* a (- (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)) (log t))))>
#<alt (* -1 (* a (- (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)) (log t))))>
#<alt (* -1 (* a (- (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)) (log t))))>
#<alt (* -1/2 (log t))>
#<alt (+ (* -1/2 (log t)) (* a (log t)))>
#<alt (+ (* -1/2 (log t)) (* a (log t)))>
#<alt (+ (* -1/2 (log t)) (* a (log t)))>
#<alt (* a (log t))>
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))>
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))>
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))>
#<alt (* a (log t))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))>
#<alt (* (log t) (- a 1/2))>
#<alt (* (log t) (- a 1/2))>
#<alt (* (log t) (- a 1/2))>
#<alt (* (log t) (- a 1/2))>
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))>
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))>
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))>
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))>
#<alt (log (* y z))>
#<alt (+ (log (* y z)) (/ x y))>
#<alt (+ (log (* y z)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))>
#<alt (+ (log (* y z)) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))>
#<alt (+ (log z) (* -1 (log (/ 1 x))))>
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x)))>
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))>
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))>
#<alt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))>
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x)))>
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))>
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))>
#<alt (log (* x z))>
#<alt (+ (log (* x z)) (/ y x))>
#<alt (+ (log (* x z)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))>
#<alt (+ (log (* x z)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))>
#<alt (+ (log z) (* -1 (log (/ 1 y))))>
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y)))>
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))))>
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))))>
#<alt (+ (log (* -1 z)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (/ x y)))>
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))>
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))>
#<alt (+ (log z) (log (+ x y)))>
#<alt (+ (log z) (log (+ x y)))>
#<alt (+ (log z) (log (+ x y)))>
#<alt (+ (log z) (log (+ x y)))>
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))>
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))>
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))>
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))>
#<alt (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))>
#<alt (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))>
#<alt (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))>
#<alt (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))>
#<alt (* y z)>
#<alt (+ (* x z) (* y z))>
#<alt (+ (* x z) (* y z))>
#<alt (+ (* x z) (* y z))>
#<alt (* x z)>
#<alt (* x (+ z (/ (* y z) x)))>
#<alt (* x (+ z (/ (* y z) x)))>
#<alt (* x (+ z (/ (* y z) x)))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))>
#<alt (* x z)>
#<alt (+ (* x z) (* y z))>
#<alt (+ (* x z) (* y z))>
#<alt (+ (* x z) (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ (* x z) y)))>
#<alt (* y (+ z (/ (* x z) y)))>
#<alt (* y (+ z (/ (* x z) y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (- (+ (log z) (* -1/2 (log t))) t)>
#<alt (- (+ (log z) (* -1/2 (log t))) t)>
#<alt (- (+ (log z) (* -1/2 (log t))) t)>
#<alt (- (+ (log z) (* -1/2 (log t))) t)>
#<alt (- (+ (* -1 (log (/ 1 z))) (* -1/2 (log t))) t)>
#<alt (- (+ (* -1 (log (/ 1 z))) (* -1/2 (log t))) t)>
#<alt (- (+ (* -1 (log (/ 1 z))) (* -1/2 (log t))) t)>
#<alt (- (+ (* -1 (log (/ 1 z))) (* -1/2 (log t))) t)>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t)>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t)>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t)>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t)>
#<alt (+ (log z) (* -1/2 (log t)))>
#<alt (+ (log z) (+ (* -1 t) (* -1/2 (log t))))>
#<alt (+ (log z) (+ (* -1 t) (* -1/2 (log t))))>
#<alt (+ (log z) (+ (* -1 t) (* -1/2 (log t))))>
#<alt (* -1 t)>
#<alt (* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (/ (log z) t)) 1))>
#<alt (* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (/ (log z) t)) 1))>
#<alt (* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (/ (log z) t)) 1))>
#<alt (* -1 t)>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) t)))))>
Calls

168 calls:

TimeVariablePointExpression
100.0ms
a
@0
(* (log t) a)
74.0ms
z
@inf
(+ (* (+ a -1/2) (log t)) (- (log (* (+ x y) z)) t))
52.0ms
a
@inf
(/ (+ (- (log z) t) (* (log t) -1/2)) (- 0 a))
45.0ms
y
@0
(+ (+ (log z) (- (log y) t)) (* (- a 1/2) (log t)))
21.0ms
z
@0
(+ (+ (log z) (- (log y) t)) (* (- a 1/2) (log t)))

rewrite329.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
2512×fma-lowering-fma.f32
2512×fma-lowering-fma.f64
2378×*-lowering-*.f32
2378×*-lowering-*.f64
1872×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035169
1253160
22572159
08246159
Stop Event
iter limit
node limit
Counts
21 → 378
Calls
Call 1
Inputs
(+ (+ (log z) (- (log y) t)) (* (- a 1/2) (log t)))
(+ (log z) (- (log y) t))
(log z)
(- (log y) t)
(- 0 t)
(+ (log (+ x y)) (* (log t) a))
(log (+ x y))
(+ x y)
(* (log t) a)
(+ (* (+ a -1/2) (log t)) (- (log (* (+ x y) z)) t))
(+ a -1/2)
(log t)
(- (log (* (+ x y) z)) t)
(- (/ (+ (- (log z) t) (* (log t) -1/2)) (- 0 a)) (log t))
(* (- (/ (+ (- (log z) t) (* (log t) -1/2)) (- 0 a)) (log t)) (- 0 a))
(/ (+ (- (log z) t) (* (log t) -1/2)) (- 0 a))
(+ (log (+ x y)) (* (- (/ (+ (- (log z) t) (* (log t) -1/2)) (- 0 a)) (log t)) (- 0 a)))
(* (- a 1/2) (log t))
(log (* (+ x y) z))
(* (+ x y) z)
(+ (- (log z) t) (* (log t) -1/2))
Outputs
(+.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))
(+.f64 (-.f64 (log.f64 y) t) (+.f64 (log.f64 z) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))
(+.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 z y)) t))
(+.f64 (+.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) (log.f64 z))
(+.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 z)) (-.f64 (log.f64 y) t))
(-.f64 (log.f64 (*.f64 z y)) (-.f64 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z y)) t) #s(literal 2 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))))
(-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) t)
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 (*.f64 z y)) t))
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))
(fma.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 y) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 y) t) (-.f64 (-.f64 (log.f64 y) t) (log.f64 z))))) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 t (+.f64 (log.f64 y) t)))) (+.f64 (log.f64 z) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (-.f64 (log.f64 (*.f64 z y)) t) (+.f64 (log.f64 (/.f64 z y)) t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 z y)) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 y) t)) (+.f64 (log.f64 z) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z y)) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z y)) t) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 z y)) t)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z y)) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z y)) t) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))))
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(pow.f64 (/.f64 (+.f64 (log.f64 (+.f64 y x)) (*.f64 a (-.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) (log.f64 t)))) (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) (log.f64 t))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) (log.f64 t))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) (log.f64 t))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) (log.f64 t))) (log.f64 (+.f64 y x)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) (log.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (+.f64 y x)) (*.f64 a (-.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) (log.f64 t))))))
(+.f64 (*.f64 a (log.f64 t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (*.f64 a (log.f64 t)))
(fma.f64 a (log.f64 t) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(fma.f64 (log.f64 t) a (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (*.f64 a (log.f64 t)))
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (*.f64 a (log.f64 t)))
(/.f64 (*.f64 (log.f64 t) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (log.f64 t) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))) (+.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (log.f64 t) (+.f64 (*.f64 a a) #s(literal -1/4 binary64))) (+.f64 a #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64)) (log.f64 t)) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64)) (log.f64 t)) (+.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/4 binary64)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))
(log.f64 (*.f64 z (+.f64 y x)))
(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))
(+.f64 (log.f64 (+.f64 y x)) (log.f64 z))
(-.f64 (log.f64 (*.f64 z (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (log.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))
(-.f64 (log.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))) (log.f64 (-.f64 x y)))
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) z)) (log.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))
(-.f64 (log.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) z)) (log.f64 (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 y x)) (log.f64 z)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 y x) z)))
(+.f64 (*.f64 z y) (*.f64 z x))
(+.f64 (*.f64 z x) (*.f64 z y))
(+.f64 (*.f64 y z) (*.f64 x z))
(+.f64 (*.f64 x z) (*.f64 y z))
(fma.f64 z y (*.f64 z x))
(fma.f64 z x (*.f64 z y))
(fma.f64 y z (*.f64 x z))
(fma.f64 x z (*.f64 y z))
(/.f64 (*.f64 z (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) z) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) z) (-.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(+.f64 (log.f64 z) (neg.f64 (-.f64 t (*.f64 (log.f64 t) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 z) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))
(+.f64 (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 z)) (-.f64 #s(literal 0 binary64) t))
(-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64)) (+.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal 1/2 binary64) (log.f64 t)))) (/.f64 (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal 1/2 binary64) (log.f64 t)))))
(-.f64 (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 z)) t)
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 z) t))
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (-.f64 (log.f64 z) t))
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t (+.f64 (log.f64 z) t)))) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (+.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal 1/2 binary64) (log.f64 t))) (-.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (+.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal 1/2 binary64) (log.f64 t))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal 1/2 binary64) (log.f64 t)))))
(/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (-.f64 t (*.f64 (log.f64 t) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 t (*.f64 (log.f64 t) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))
(/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (-.f64 t (*.f64 (log.f64 t) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (+.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t)))) (+.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal 1/2 binary64) (log.f64 t))) (-.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))))))
(*.f64 (-.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal 1/2 binary64) (log.f64 t)))))

simplify378.0ms (2.3%)

Algorithm
egg-herbie
Rules
5708×+-lowering-+.f64
5708×+-lowering-+.f32
2708×*-lowering-*.f32
2708×*-lowering-*.f64
1866×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06929210
122778290
084468290
Stop Event
iter limit
node limit
Counts
672 → 672
Calls
Call 1
Inputs
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)
(- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)
(- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)
(- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)
(- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)
(- (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t)
(+ (log y) (+ (log z) (* (log t) (- a 1/2))))
(+ (log y) (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2)))))
(+ (log y) (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2)))))
(+ (log y) (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2)))))
(* -1 t)
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log y) t) (/ (log z) t))) 1))
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log y) t) (/ (log z) t))) 1))
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log y) t) (/ (log z) t))) 1))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))
(- (+ (log y) (+ (log z) (* -1/2 (log t)))) t)
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t)
(* a (log t))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a)))
(* a (log t))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a)))))
(- (+ (log y) (log z)) t)
(- (+ (log y) (log z)) t)
(- (+ (log y) (log z)) t)
(- (+ (log y) (log z)) t)
(- (+ (log y) (* -1 (log (/ 1 z)))) t)
(- (+ (log y) (* -1 (log (/ 1 z)))) t)
(- (+ (log y) (* -1 (log (/ 1 z)))) t)
(- (+ (log y) (* -1 (log (/ 1 z)))) t)
(- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) t)
(- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) t)
(- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) t)
(- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) t)
(- (+ (log y) (log z)) t)
(- (+ (log y) (log z)) t)
(- (+ (log y) (log z)) t)
(- (+ (log y) (log z)) t)
(- (+ (log z) (* -1 (log (/ 1 y)))) t)
(- (+ (log z) (* -1 (log (/ 1 y)))) t)
(- (+ (log z) (* -1 (log (/ 1 y)))) t)
(- (+ (log z) (* -1 (log (/ 1 y)))) t)
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t)
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t)
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t)
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t)
(+ (log y) (log z))
(+ (log y) (+ (log z) (* -1 t)))
(+ (log y) (+ (log z) (* -1 t)))
(+ (log y) (+ (log z) (* -1 t)))
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(* -1 (* t (+ 1 (* -1 (/ (+ (log (+ x y)) (* -1 (* a (- (* -1 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) (/ (log z) a))) (+ (log -1) (* -1 (log (/ -1 t)))))))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (log (+ x y)) (* -1 (* a (- (* -1 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) (/ (log z) a))) (+ (log -1) (* -1 (log (/ -1 t)))))))) t)))))
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
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(log (* y z))
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(* x (+ z (/ (* y z) x)))
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(* y z)
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(* z (+ x y))
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(* z (+ x y))
(* z (+ x y))
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(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
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(- (+ (log z) (* -1/2 (log t))) t)
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(- (+ (log z) (* -1/2 (log t))) t)
(- (+ (log z) (* -1/2 (log t))) t)
(- (+ (* -1 (log (/ 1 z))) (* -1/2 (log t))) t)
(- (+ (* -1 (log (/ 1 z))) (* -1/2 (log t))) t)
(- (+ (* -1 (log (/ 1 z))) (* -1/2 (log t))) t)
(- (+ (* -1 (log (/ 1 z))) (* -1/2 (log t))) t)
(- (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t)
(- (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t)
(- (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t)
(- (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t)
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(+ (log z) (+ (* -1 t) (* -1/2 (log t))))
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(* -1 t)
(* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (/ (log z) t)) 1))
(* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (/ (log z) t)) 1))
(* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (/ (log z) t)) 1))
(* -1 t)
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(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) t)))))
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Outputs
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)
(+.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) (-.f64 (log.f64 y) t))
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-1/2
#s(literal -1/2 binary64)
(- a 1/2)
(+.f64 a #s(literal -1/2 binary64))
(- a 1/2)
(+.f64 a #s(literal -1/2 binary64))
(- a 1/2)
(+.f64 a #s(literal -1/2 binary64))
a
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(* a (- 1 (* 1/2 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))
(* a (- 1 (* 1/2 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)))
a
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(* -1 (* a (- (* 1/2 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/2 (/ 1 a)) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) (neg.f64 a))
(log t)
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eval145.0ms (0.9%)

Compiler

Compiled 29595 to 2156 computations (92.7% saved)

prune170.0ms (1%)

Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New1211271238
Fresh7815
Picked415
Done000
Total1222361258
Accuracy
100.0%
Counts
1258 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal -1/2 binary64) a)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
77.2%
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 #s(literal 0 binary64) t))
54.7%
(/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (-.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))))
47.4%
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a)))) (*.f64 (-.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (log.f64 t)))) (*.f64 (-.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a)))))
36.9%
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a)) (*.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (+.f64 #s(literal 1/2 binary64) a)))
9.5%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
16.4%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
9.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
16.4%
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
74.6%
(-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) t)
65.3%
(+.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 t (+.f64 (log.f64 y) t)))) (log.f64 z)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
77.2%
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
61.4%
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
77.6%
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
48.0%
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z (+.f64 y x))))
24.4%
(+.f64 (*.f64 (log.f64 t) a) (log.f64 x))
52.3%
(+.f64 (log.f64 (+.f64 x y)) (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a)) (*.f64 (+.f64 (log.f64 z) t) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)))) (*.f64 (+.f64 (log.f64 z) t) (+.f64 #s(literal 1/2 binary64) a))))
56.5%
(+.f64 (log.f64 (+.f64 x y)) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64)) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) a)) (+.f64 (log.f64 t) (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)))))
40.5%
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
53.0%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) #s(literal 3 binary64)) (pow.f64 (log.f64 t) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64)) (*.f64 (log.f64 t) (+.f64 (log.f64 t) (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)))))) (-.f64 #s(literal 0 binary64) a)))
65.4%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (-.f64 (/.f64 t a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a)))
20.0%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (-.f64 (log.f64 (+.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))) (log.f64 (*.f64 t t))) a))
42.3%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
88.0%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
62.8%
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)))
61.4%
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)))
42.3%
(+.f64 (log.f64 y) (*.f64 (log.f64 t) a))
9.4%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
16.4%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
39.1%
(*.f64 (log.f64 t) a)
65.9%
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))))
87.8%
(*.f64 t (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) (+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))))
87.1%
(*.f64 a (+.f64 (/.f64 (log.f64 z) a) (-.f64 (/.f64 (log.f64 (+.f64 y x)) a) (+.f64 (/.f64 t a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))))))
42.2%
(*.f64 a (+.f64 (log.f64 t) (/.f64 (log.f64 (+.f64 y x)) a)))
36.8%
(neg.f64 t)
6.0%
(log.f64 (+.f64 y x))
Compiler

Compiled 1704 to 1062 computations (37.7% saved)

simplify162.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a a)
cost-diff0
(-.f64 #s(literal 1/4 binary64) (*.f64 a a))
cost-diff0
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal -1/2 binary64) a))
cost-diff6272
(fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal -1/2 binary64) a)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
cost-diff0
(-.f64 #s(literal 0 binary64) t)
cost-diff0
(log.f64 z)
cost-diff0
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
cost-diff128
(+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t))
cost-diff0
(log.f64 t)
cost-diff0
(*.f64 (log.f64 t) a)
cost-diff-64
(neg.f64 t)
cost-diff0
(+.f64 x y)
cost-diff0
(log.f64 (+.f64 x y))
cost-diff0
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
cost-diff384
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
Rules
1830×+-lowering-+.f64
1830×+-lowering-+.f32
1764×*-lowering-*.f32
1764×*-lowering-*.f64
1536×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038218
191216
2213212
3677212
42340194
57451194
08100194
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (log (+ x y)) (* t (- (+ (/ (log z) t) -1) (* (log t) (/ (- 1/2 a) t)))))
(log (+ x y))
(+ x y)
x
y
(* t (- (+ (/ (log z) t) -1) (* (log t) (/ (- 1/2 a) t))))
t
(- (+ (/ (log z) t) -1) (* (log t) (/ (- 1/2 a) t)))
(+ (/ (log z) t) -1)
(/ (log z) t)
(log z)
z
-1
(* (log t) (/ (- 1/2 a) t))
(log t)
(/ (- 1/2 a) t)
(- 1/2 a)
1/2
a
(neg t)
t
(* (log t) a)
(log t)
t
a
(+ (+ (log z) (- 0 t)) (* (- a 1/2) (log t)))
(+ (log z) (- 0 t))
(log z)
z
(- 0 t)
0
t
(* (- a 1/2) (log t))
(- a 1/2)
a
1/2
(log t)
(+ (* (/ (- 1/4 (* a a)) (- -1/2 a)) (log t)) (- (log (* (+ x y) z)) t))
(/ (- 1/4 (* a a)) (- -1/2 a))
(- 1/4 (* a a))
1/4
(* a a)
a
(- -1/2 a)
-1/2
(log t)
t
(- (log (* (+ x y) z)) t)
(log (* (+ x y) z))
(* (+ x y) z)
(+ x y)
x
y
z
Outputs
(+ (log (+ x y)) (* t (- (+ (/ (log z) t) -1) (* (log t) (/ (- 1/2 a) t)))))
(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) t)))
(log (+ x y))
(log.f64 (+.f64 x y))
(+ x y)
(+.f64 x y)
x
y
(* t (- (+ (/ (log z) t) -1) (* (log t) (/ (- 1/2 a) t))))
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) t))
t
(- (+ (/ (log z) t) -1) (* (log t) (/ (- 1/2 a) t)))
(+.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (/.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) t))
(+ (/ (log z) t) -1)
(+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))
(/ (log z) t)
(/.f64 (log.f64 z) t)
(log z)
(log.f64 z)
z
-1
#s(literal -1 binary64)
(* (log t) (/ (- 1/2 a) t))
(*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))
(log t)
(log.f64 t)
(/ (- 1/2 a) t)
(/.f64 (-.f64 #s(literal 1/2 binary64) a) t)
(- 1/2 a)
(-.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(neg t)
(-.f64 #s(literal 0 binary64) t)
t
(* (log t) a)
(*.f64 (log.f64 t) a)
(log t)
(log.f64 t)
t
a
(+ (+ (log z) (- 0 t)) (* (- a 1/2) (log t)))
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) t))
(+ (log z) (- 0 t))
(-.f64 (log.f64 z) t)
(log z)
(log.f64 z)
z
(- 0 t)
(-.f64 #s(literal 0 binary64) t)
0
#s(literal 0 binary64)
t
(* (- a 1/2) (log t))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(- a 1/2)
(+.f64 a #s(literal -1/2 binary64))
a
1/2
#s(literal 1/2 binary64)
(log t)
(log.f64 t)
(+ (* (/ (- 1/4 (* a a)) (- -1/2 a)) (log t)) (- (log (* (+ x y) z)) t))
(+.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal -1/2 binary64) a))) t))
(/ (- 1/4 (* a a)) (- -1/2 a))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal -1/2 binary64) a))
(- 1/4 (* a a))
(-.f64 #s(literal 1/4 binary64) (*.f64 a a))
1/4
#s(literal 1/4 binary64)
(* a a)
(*.f64 a a)
a
(- -1/2 a)
(-.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
(log t)
(log.f64 t)
t
(- (log (* (+ x y) z)) t)
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)
(log (* (+ x y) z))
(log.f64 (*.f64 (+.f64 x y) z))
(* (+ x y) z)
(*.f64 (+.f64 x y) z)
(+ x y)
(+.f64 x y)
x
y
z

localize199.0ms (1.2%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (+.f64 x y) z)
accuracy99.7%
(fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal -1/2 binary64) a)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
accuracy75.2%
(log.f64 (*.f64 (+.f64 x y) z))
accuracy72.7%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal -1/2 binary64) a))
accuracy100.0%
(log.f64 t)
accuracy100.0%
(+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t))
accuracy99.8%
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
accuracy99.8%
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
accuracy100.0%
(log.f64 t)
accuracy99.6%
(*.f64 (log.f64 t) a)
accuracy100.0%
(neg.f64 t)
accuracy99.9%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
accuracy99.6%
(/.f64 (log.f64 z) t)
accuracy99.5%
(*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))
accuracy88.1%
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
Results
148.0ms254×0valid
4.0ms1valid
Compiler

Compiled 226 to 38 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 13.0ms (22.9% of total)
ival-log: 13.0ms (22.9% of total)
ival-sub: 9.0ms (15.9% of total)
ival-add: 8.0ms (14.1% of total)
ival-div: 6.0ms (10.6% of total)
compiled-spec: 5.0ms (8.8% of total)
const: 1.0ms (1.8% of total)
ival-neg: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series52.0ms (0.3%)

Counts
20 → 516
Calls
Call 1
Inputs
#<alt (* t (- (+ (/ (log z) t) -1) (* (log t) (/ (- 1/2 a) t))))>
#<alt (+ (log (+ x y)) (* t (- (+ (/ (log z) t) -1) (* (log t) (/ (- 1/2 a) t)))))>
#<alt (log (+ x y))>
#<alt (+ x y)>
#<alt (neg t)>
#<alt (* (log t) a)>
#<alt (log t)>
#<alt (+ (log z) (- 0 t))>
#<alt (+ (+ (log z) (- 0 t)) (* (- a 1/2) (log t)))>
#<alt (log z)>
#<alt (- 0 t)>
#<alt (+ (* (/ (- 1/4 (* a a)) (- -1/2 a)) (log t)) (- (log (* (+ x y) z)) t))>
#<alt (/ (- 1/4 (* a a)) (- -1/2 a))>
#<alt (- 1/4 (* a a))>
#<alt (* a a)>
#<alt (* (log t) (/ (- 1/2 a) t))>
#<alt (/ (log z) t)>
#<alt (* (- a 1/2) (log t))>
#<alt (log (* (+ x y) z))>
#<alt (* (+ x y) z)>
Outputs
#<alt (- (log z) (* (log t) (- 1/2 a)))>
#<alt (- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))>
#<alt (- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))>
#<alt (- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))>
#<alt (* -1 t)>
#<alt (* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))>
#<alt (* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))>
#<alt (* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))>
#<alt (* -1 t)>
#<alt (* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))>
#<alt (* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))>
#<alt (* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))>
#<alt (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))>
#<alt (+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))))>
#<alt (+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))))>
#<alt (+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))))>
#<alt (* a (log t))>
#<alt (* a (+ (log t) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))>
#<alt (* a (+ (log t) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))>
#<alt (* a (+ (log t) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))>
#<alt (* a (log t))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))))>
#<alt (+ (log y) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))>
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#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))))) t)>
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) (/ y x)))) t)>
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) t)>
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) t)>
#<alt (- (+ (log (* x z)) (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) t)>
#<alt (- (+ (log (* x z)) (+ (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) (/ y x))) t)>
#<alt (- (+ (log (* x z)) (+ (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) t)>
#<alt (- (+ (log (* x z)) (+ (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) t)>
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))))) t)>
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) (/ x y)))) t)>
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))))) t)>
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))))) t)>
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))))) t)>
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) (/ x y)))) t)>
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) t)>
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) t)>
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))))) t)>
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))))) t)>
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))))) t)>
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))))) t)>
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))))) t)>
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))))) t)>
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))))) t)>
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))))) t)>
#<alt (- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))))) t)>
#<alt (- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))))) t)>
#<alt (- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))))) t)>
#<alt (- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (* -1 (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))))) t)>
#<alt -1/2>
#<alt (- a 1/2)>
#<alt (- a 1/2)>
#<alt (- a 1/2)>
#<alt a>
#<alt (* a (- 1 (* 1/2 (/ 1 a))))>
#<alt (* a (- 1 (* 1/2 (/ 1 a))))>
#<alt (* a (- 1 (* 1/2 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/2 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/2 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/2 (/ 1 a)) 1)))>
#<alt 1/4>
#<alt (+ 1/4 (* -1 (pow a 2)))>
#<alt (+ 1/4 (* -1 (pow a 2)))>
#<alt (+ 1/4 (* -1 (pow a 2)))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (/ (* (log t) (- 1/2 a)) t)>
#<alt (/ (* (log t) (- 1/2 a)) t)>
#<alt (/ (* (log t) (- 1/2 a)) t)>
#<alt (/ (* (log t) (- 1/2 a)) t)>
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))>
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))>
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))>
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))>
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)>
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)>
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)>
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)>
#<alt (* 1/2 (/ (log t) t))>
#<alt (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))>
#<alt (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))>
#<alt (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))>
#<alt (* -1 (/ (* a (log t)) t))>
#<alt (* a (+ (* -1 (/ (log t) t)) (* 1/2 (/ (log t) (* a t)))))>
#<alt (* a (+ (* -1 (/ (log t) t)) (* 1/2 (/ (log t) (* a t)))))>
#<alt (* a (+ (* -1 (/ (log t) t)) (* 1/2 (/ (log t) (* a t)))))>
#<alt (* -1 (/ (* a (log t)) t))>
#<alt (* -1 (* a (+ (* -1/2 (/ (log t) (* a t))) (/ (log t) t))))>
#<alt (* -1 (* a (+ (* -1/2 (/ (log t) (* a t))) (/ (log t) t))))>
#<alt (* -1 (* a (+ (* -1/2 (/ (log t) (* a t))) (/ (log t) t))))>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (* -1 (/ (log (/ 1 z)) t))>
#<alt (* -1 (/ (log (/ 1 z)) t))>
#<alt (* -1 (/ (log (/ 1 z)) t))>
#<alt (* -1 (/ (log (/ 1 z)) t))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) t)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) t)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) t)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (* -1/2 (log t))>
#<alt (+ (* -1/2 (log t)) (* a (log t)))>
#<alt (+ (* -1/2 (log t)) (* a (log t)))>
#<alt (+ (* -1/2 (log t)) (* a (log t)))>
#<alt (* a (log t))>
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))>
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))>
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))>
#<alt (* a (log t))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))>
#<alt (* (log t) (- a 1/2))>
#<alt (* (log t) (- a 1/2))>
#<alt (* (log t) (- a 1/2))>
#<alt (* (log t) (- a 1/2))>
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))>
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))>
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))>
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))>
#<alt (log (* y z))>
#<alt (+ (log (* y z)) (/ x y))>
#<alt (+ (log (* y z)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))>
#<alt (+ (log (* y z)) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))>
#<alt (+ (log z) (* -1 (log (/ 1 x))))>
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x)))>
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))>
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))>
#<alt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))>
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x)))>
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))>
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))>
#<alt (log (* x z))>
#<alt (+ (log (* x z)) (/ y x))>
#<alt (+ (log (* x z)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))>
#<alt (+ (log (* x z)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))>
#<alt (+ (log z) (* -1 (log (/ 1 y))))>
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y)))>
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))))>
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))))>
#<alt (+ (log (* -1 z)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (/ x y)))>
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))>
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))>
#<alt (+ (log z) (log (+ x y)))>
#<alt (+ (log z) (log (+ x y)))>
#<alt (+ (log z) (log (+ x y)))>
#<alt (+ (log z) (log (+ x y)))>
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))>
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))>
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))>
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))>
#<alt (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))>
#<alt (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))>
#<alt (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))>
#<alt (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))>
#<alt (* y z)>
#<alt (+ (* x z) (* y z))>
#<alt (+ (* x z) (* y z))>
#<alt (+ (* x z) (* y z))>
#<alt (* x z)>
#<alt (* x (+ z (/ (* y z) x)))>
#<alt (* x (+ z (/ (* y z) x)))>
#<alt (* x (+ z (/ (* y z) x)))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))>
#<alt (* x z)>
#<alt (+ (* x z) (* y z))>
#<alt (+ (* x z) (* y z))>
#<alt (+ (* x z) (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ (* x z) y)))>
#<alt (* y (+ z (/ (* x z) y)))>
#<alt (* y (+ z (/ (* x z) y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
Calls

129 calls:

TimeVariablePointExpression
5.0ms
a
@-inf
(+ (* (/ (- 1/4 (* a a)) (- -1/2 a)) (log t)) (- (log (* (+ x y) z)) t))
4.0ms
t
@inf
(* (log t) (/ (- 1/2 a) t))
4.0ms
t
@-inf
(* (log t) (/ (- 1/2 a) t))
4.0ms
t
@0
(/ (log z) t)
2.0ms
t
@inf
(/ (log z) t)

rewrite298.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
2480×fma-lowering-fma.f32
2480×fma-lowering-fma.f64
2226×*-lowering-*.f32
2226×*-lowering-*.f64
1744×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038136
1264123
22728119
09226119
Stop Event
iter limit
node limit
Counts
20 → 402
Calls
Call 1
Inputs
(* t (- (+ (/ (log z) t) -1) (* (log t) (/ (- 1/2 a) t))))
(+ (log (+ x y)) (* t (- (+ (/ (log z) t) -1) (* (log t) (/ (- 1/2 a) t)))))
(log (+ x y))
(+ x y)
(neg t)
(* (log t) a)
(log t)
(+ (log z) (- 0 t))
(+ (+ (log z) (- 0 t)) (* (- a 1/2) (log t)))
(log z)
(- 0 t)
(+ (* (/ (- 1/4 (* a a)) (- -1/2 a)) (log t)) (- (log (* (+ x y) z)) t))
(/ (- 1/4 (* a a)) (- -1/2 a))
(- 1/4 (* a a))
(* a a)
(* (log t) (/ (- 1/2 a) t))
(/ (log z) t)
(* (- a 1/2) (log t))
(log (* (+ x y) z))
(* (+ x y) z)
Outputs
(+.f64 (*.f64 t (/.f64 (log.f64 z) t)) (*.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))))
(+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 t (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (*.f64 (/.f64 (log.f64 z) t) t) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))) t))
(+.f64 (*.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) t) (*.f64 (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))) t))
(fma.f64 t (/.f64 (log.f64 z) t) (*.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))))
(fma.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 t (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))))
(fma.f64 (/.f64 (log.f64 z) t) t (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))) t))
(fma.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) t (*.f64 (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))) t))
(/.f64 (*.f64 t (-.f64 (pow.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))))))
(/.f64 (*.f64 t (pow.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))) #s(literal 3 binary64))) t) (+.f64 (pow.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))))))
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))) #s(literal 2 binary64)) t) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))))
(*.f64 t (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))))
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))) t)
(+.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))))) (log.f64 (+.f64 x y)))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))))))
(+.f64 (log.f64 (+.f64 x y)) (neg.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))))))
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(-.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))))) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))))))
(-.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))))
(fma.f64 #s(literal -1 binary64) (*.f64 a a) #s(literal 1/4 binary64))
(fma.f64 a (-.f64 #s(literal 0 binary64) a) #s(literal 1/4 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) a) a #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 a a))))
(/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (+.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 a a))) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a a))))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))) (-.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))
(neg.f64 (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))
(/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 t)) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)
(/.f64 (neg.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a)) t)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 t)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) a))) t)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 t)) #s(literal 1 binary64)) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) a))) t)
(/.f64 (*.f64 (log.f64 t) #s(literal 1 binary64)) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 t)) t)
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 t)) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))
(pow.f64 (/.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))
(*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))
(*.f64 (-.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) t) (log.f64 t)))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) a) t) (log.f64 t))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) a) t) (-.f64 #s(literal 0 binary64) (log.f64 t)))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))
(*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal -1 binary64) t))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal -1 binary64) t))
(exp.f64 (*.f64 (log.f64 (/.f64 t (log.f64 z))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (log.f64 z) t))
(/.f64 (log.f64 z) t)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (log.f64 z))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) t)
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (log.f64 z)) #s(literal 1 binary64)))
(/.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)) t)
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) t)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) #s(literal -1 binary64)) t)
(pow.f64 (/.f64 t (log.f64 z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 t (log.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (log.f64 z) (/.f64 #s(literal -1 binary64) t))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) (/.f64 #s(literal -1 binary64) t))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 z) t))
(*.f64 (/.f64 #s(literal -1 binary64) t) (log.f64 z))
(*.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) (*.f64 t t)) t)
(+.f64 (*.f64 (log.f64 t) a) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (log.f64 t) a) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))
(fma.f64 (log.f64 t) a (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(fma.f64 (log.f64 t) a (*.f64 #s(literal -1/2 binary64) (log.f64 t)))
(fma.f64 a (log.f64 t) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(fma.f64 a (log.f64 t) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))
(/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) a) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))))
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (-.f64 #s(literal -1/2 binary64) a))
(/.f64 (neg.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) a)))
(/.f64 (*.f64 (log.f64 t) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 (log.f64 t) (+.f64 (*.f64 a a) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/2 binary64) a))
(/.f64 (*.f64 (log.f64 t) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) a)))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64)) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/4 binary64)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 t)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (log.f64 t)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) a)))
(pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) a) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) #s(literal -1 binary64))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) a)) (log.f64 t)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 (log.f64 t) (-.f64 #s(literal -1/2 binary64) a)))
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))
(*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) a)))
(*.f64 (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (-.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 a #s(literal -1/2 binary64)))))
(log.f64 (*.f64 z (+.f64 x y)))
(+.f64 (log.f64 z) (log.f64 (+.f64 x y)))
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(-.f64 (log.f64 (*.f64 z (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (log.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))
(-.f64 (log.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))) (log.f64 (-.f64 x y)))
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) z)) (log.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))
(-.f64 (log.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) z)) (log.f64 (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x y)) (log.f64 z)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 x y) z)))
(+.f64 (*.f64 z x) (*.f64 z y))
(+.f64 (*.f64 z y) (*.f64 z x))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 x z))
(fma.f64 z x (*.f64 z y))
(fma.f64 z y (*.f64 z x))
(fma.f64 x z (*.f64 y z))
(fma.f64 y z (*.f64 x z))
(/.f64 (*.f64 z (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) z) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) z) (-.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 x y) z)

simplify376.0ms (2.3%)

Algorithm
egg-herbie
Rules
4116×+-lowering-+.f64
4116×+-lowering-+.f32
3614×*-lowering-*.f32
3614×*-lowering-*.f64
1654×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05546630
117995945
267555841
084365841
Stop Event
iter limit
node limit
Counts
516 → 516
Calls
Call 1
Inputs
(- (log z) (* (log t) (- 1/2 a)))
(- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))
(- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))
(- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))
(* -1 t)
(* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(* -1 t)
(* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))
(* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))
(* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))
(* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))
(+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))))
(+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))))
(+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))))
(* a (log t))
(* a (+ (log t) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))
(* a (+ (log t) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))
(* a (+ (log t) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))
(* a (log t))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))))
(+ (log y) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))
(+ (log y) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ x y)))
(+ (log y) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))))
(+ (log y) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))
(+ (* -1 (log (/ 1 x))) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))
(+ (* -1 (log (/ 1 x))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ y x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ y x))))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ y x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ y x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))))
(+ (log x) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))
(+ (log x) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ y x)))
(+ (log x) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))))
(+ (log x) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))))
(+ (* -1 (log (/ 1 y))) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))
(+ (* -1 (log (/ 1 y))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ x y)))
(+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ x y))))
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(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)
(* 1/2 (/ (log t) t))
(+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))
(+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))
(+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))
(* -1 (/ (* a (log t)) t))
(* a (+ (* -1 (/ (log t) t)) (* 1/2 (/ (log t) (* a t)))))
(* a (+ (* -1 (/ (log t) t)) (* 1/2 (/ (log t) (* a t)))))
(* a (+ (* -1 (/ (log t) t)) (* 1/2 (/ (log t) (* a t)))))
(* -1 (/ (* a (log t)) t))
(* -1 (* a (+ (* -1/2 (/ (log t) (* a t))) (/ (log t) t))))
(* -1 (* a (+ (* -1/2 (/ (log t) (* a t))) (/ (log t) t))))
(* -1 (* a (+ (* -1/2 (/ (log t) (* a t))) (/ (log t) t))))
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(* -1 (/ (log (/ 1 z)) t))
(* -1 (/ (log (/ 1 z)) t))
(* -1 (/ (log (/ 1 z)) t))
(* -1 (/ (log (/ 1 z)) t))
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t)
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t)
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t)
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(* -1/2 (log t))
(+ (* -1/2 (log t)) (* a (log t)))
(+ (* -1/2 (log t)) (* a (log t)))
(+ (* -1/2 (log t)) (* a (log t)))
(* a (log t))
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(* a (log t))
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(* (log t) (- a 1/2))
(* (log t) (- a 1/2))
(* (log t) (- a 1/2))
(* (log t) (- a 1/2))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(log (* y z))
(+ (log (* y z)) (/ x y))
(+ (log (* y z)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))
(+ (log (* y z)) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))
(+ (log z) (* -1 (log (/ 1 x))))
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x)))
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))
(+ (log (* -1 z)) (* -1 (log (/ -1 x))))
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x)))
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))
(log (* x z))
(+ (log (* x z)) (/ y x))
(+ (log (* x z)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))
(+ (log (* x z)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))
(+ (log z) (* -1 (log (/ 1 y))))
(+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y)))
(+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))))
(+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))))
(+ (log (* -1 z)) (* -1 (log (/ -1 y))))
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (/ x y)))
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))
(+ (log z) (log (+ x y)))
(+ (log z) (log (+ x y)))
(+ (log z) (log (+ x y)))
(+ (log z) (log (+ x y)))
(+ (log (+ x y)) (* -1 (log (/ 1 z))))
(+ (log (+ x y)) (* -1 (log (/ 1 z))))
(+ (log (+ x y)) (* -1 (log (/ 1 z))))
(+ (log (+ x y)) (* -1 (log (/ 1 z))))
(+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))
(+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))
(+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))
(+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))
(* y z)
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(* x z)
(* x (+ z (/ (* y z) x)))
(* x (+ z (/ (* y z) x)))
(* x (+ z (/ (* y z) x)))
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* x z)
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(* y z)
(* y (+ z (/ (* x z) y)))
(* y (+ z (/ (* x z) y)))
(* y (+ z (/ (* x z) y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
Outputs
(- (log z) (* (log t) (- 1/2 a)))
(-.f64 (log.f64 z) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))
(- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))
(-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))
(- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))
(-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))
(- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))
(-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))
(* -1 t)
(-.f64 #s(literal 0 binary64) t)
(* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* -1 t)
(-.f64 #s(literal 0 binary64) t)
(* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))) (-.f64 #s(literal 0 binary64) t))
(* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))) (-.f64 #s(literal 0 binary64) t))
(* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))) (-.f64 #s(literal 0 binary64) t))
(* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t) (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t) (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t) (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t) (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))
(*.f64 t (+.f64 (/.f64 (log.f64 z) t) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) t)))))
(+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))))
(+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) t))))) (*.f64 (log.f64 t) a))
(+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))))
(+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) t))))) (*.f64 (log.f64 t) a))
(+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))))
(+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) t))))) (*.f64 (log.f64 t) a))
(* a (log t))
(*.f64 (log.f64 t) a)
(* a (+ (log t) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) t))))) a)))
(* a (+ (log t) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) t))))) a)))
(* a (+ (log t) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) t))))) a)))
(* a (log t))
(*.f64 (log.f64 t) a)
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (log.f64 t) (/.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) t))))) a))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (log.f64 t) (/.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) t))))) a))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (log.f64 t) (/.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) t))))) a))))
(+ (log y) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))
(+.f64 (*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))) (log.f64 y))
(+ (log y) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ x y)))
(+.f64 (*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))) (+.f64 (/.f64 x y) (log.f64 y)))
(+ (log y) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))))
(+.f64 (*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))) (+.f64 (log.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))))
(+ (log y) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))
(+.f64 (*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))))) (log.f64 y)))
(+ (* -1 (log (/ 1 x))) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))
(+.f64 (*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))) (log.f64 x))
(+ (* -1 (log (/ 1 x))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ y x)))
(+.f64 (*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))) (+.f64 (log.f64 x) (/.f64 y x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ y x))))
(+.f64 (*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))) (+.f64 (log.f64 x) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x)))))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ y x)))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) x)) (*.f64 x x)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x)))) (*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))))
(+.f64 (*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ y x))))
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-1/2
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a
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a
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1/4
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(+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (/ x y)))
(+.f64 (-.f64 (/.f64 x y) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (-.f64 #s(literal 0 binary64) z)))
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))
(-.f64 (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) z)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y) x) y))
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) y)) y))) y) (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) z)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(+ (log z) (log (+ x y)))
(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))
(+ (log z) (log (+ x y)))
(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))
(+ (log z) (log (+ x y)))
(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))
(+ (log z) (log (+ x y)))
(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))
(+ (log (+ x y)) (* -1 (log (/ 1 z))))
(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))
(+ (log (+ x y)) (* -1 (log (/ 1 z))))
(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))
(+ (log (+ x y)) (* -1 (log (/ 1 z))))
(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))
(+ (log (+ x y)) (* -1 (log (/ 1 z))))
(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))
(+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))
(+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))
(+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))
(+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))
(* y z)
(*.f64 z y)
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(* x z)
(*.f64 z x)
(* x (+ z (/ (* y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 z y) x)))
(* x (+ z (/ (* y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 z y) x)))
(* x (+ z (/ (* y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 z y) x)))
(* x z)
(*.f64 z x)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) y)) x) z)))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) y)) x) z)))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) y)) x) z)))
(* x z)
(*.f64 z x)
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(* y z)
(*.f64 z y)
(* y (+ z (/ (* x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(* y (+ z (/ (* x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(* y (+ z (/ (* x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(* y z)
(*.f64 z y)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 y (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z x) y)) #s(literal -1 binary64)))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 y (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z x) y)) #s(literal -1 binary64)))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 y (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z x) y)) #s(literal -1 binary64)))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))

eval149.0ms (0.9%)

Compiler

Compiled 24391 to 1991 computations (91.8% saved)

prune161.0ms (1%)

Pruning

44 alts after pruning (41 fresh and 3 done)

PrunedKeptTotal
New1022211043
Fresh102030
Picked325
Done011
Total1035441079
Accuracy
100.0%
Counts
1079 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.2%
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 #s(literal 0 binary64) t))
29.2%
(fma.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) a)) (+.f64 t (log.f64 (*.f64 z (+.f64 x y)))))
54.7%
(/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (-.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))))
47.4%
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a)))) (*.f64 (-.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (log.f64 t)))) (*.f64 (-.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a)))))
9.5%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
1.5%
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
2.4%
(/.f64 (*.f64 t t) t)
16.4%
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
2.4%
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
36.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
74.6%
(-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) t)
77.2%
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
41.4%
(+.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 z)) t)
61.4%
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
77.6%
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64)))))
50.7%
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) a) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))))))
77.3%
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))
48.0%
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z (+.f64 y x))))
24.4%
(+.f64 (*.f64 (log.f64 t) a) (log.f64 x))
87.8%
(+.f64 (*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))) (log.f64 y))
77.6%
(+.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
56.5%
(+.f64 (log.f64 (+.f64 x y)) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64)) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) a)) (+.f64 (log.f64 t) (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)))))
40.5%
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
53.0%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) #s(literal 3 binary64)) (pow.f64 (log.f64 t) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64)) (*.f64 (log.f64 t) (+.f64 (log.f64 t) (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)))))) (-.f64 #s(literal 0 binary64) a)))
42.3%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
87.9%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))))
44.0%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 t (log.f64 z))) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
40.4%
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))
62.8%
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)))
42.4%
(+.f64 (log.f64 z) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
61.4%
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)))
42.3%
(+.f64 (log.f64 y) (*.f64 (log.f64 t) a))
18.8%
(*.f64 (-.f64 (log.f64 (*.f64 t (*.f64 t t))) (log.f64 (*.f64 t t))) a)
9.4%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
1.5%
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
16.4%
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
26.8%
(*.f64 (neg.f64 (log.f64 (/.f64 t (*.f64 t t)))) a)
39.1%
(*.f64 (log.f64 t) a)
65.9%
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))))
87.8%
(*.f64 t (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) (+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))))
66.0%
(*.f64 t (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)))))
36.8%
(neg.f64 t)
6.0%
(log.f64 (+.f64 y x))
2.6%
t
Compiler

Compiled 1748 to 1153 computations (34% saved)

simplify171.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
cost-diff0
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y))
cost-diff0
(log.f64 z)
cost-diff0
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)))
cost-diff0
(log.f64 t)
cost-diff0
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
cost-diff0
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 z))
cost-diff0
(+.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 z)) t)
cost-diff0
(+.f64 y x)
cost-diff0
(log.f64 (+.f64 y x))
cost-diff0
(log.f64 (+.f64 x y))
cost-diff0
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
cost-diff384
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))))
Rules
1874×fma-define
1830×*-lowering-*.f32
1830×*-lowering-*.f64
1404×fma-lowering-fma.f32
1404×fma-lowering-fma.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031196
167195
2181191
3570182
41846177
57533177
08029177
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (log (+ x y)) (* t (- (+ (/ (log z) t) -1) (/ 1 (/ t (* (log t) (- 1/2 a)))))))
(log (+ x y))
(+ x y)
x
y
(* t (- (+ (/ (log z) t) -1) (/ 1 (/ t (* (log t) (- 1/2 a))))))
t
(- (+ (/ (log z) t) -1) (/ 1 (/ t (* (log t) (- 1/2 a)))))
(+ (/ (log z) t) -1)
(/ (log z) t)
(log z)
z
-1
(/ 1 (/ t (* (log t) (- 1/2 a))))
1
(/ t (* (log t) (- 1/2 a)))
(* (log t) (- 1/2 a))
(log t)
(- 1/2 a)
1/2
a
t
(log (+ y x))
(+ y x)
y
x
(+ (+ (* (log t) (+ a -1/2)) (log z)) t)
(+ (* (log t) (+ a -1/2)) (log z))
(* (log t) (+ a -1/2))
(log t)
t
(+ a -1/2)
a
-1/2
(log z)
z
(+ (log z) (+ (* (log t) (+ a -1/2)) (log y)))
(log z)
z
(+ (* (log t) (+ a -1/2)) (log y))
(* (log t) (+ a -1/2))
(log t)
t
(+ a -1/2)
a
-1/2
(log y)
y
Outputs
(+ (log (+ x y)) (* t (- (+ (/ (log z) t) -1) (/ 1 (/ t (* (log t) (- 1/2 a)))))))
(+.f64 (log.f64 (+.f64 x y)) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 z) t)))
(log (+ x y))
(log.f64 (+.f64 x y))
(+ x y)
(+.f64 x y)
x
y
(* t (- (+ (/ (log z) t) -1) (/ 1 (/ t (* (log t) (- 1/2 a))))))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 z) t))
t
(- (+ (/ (log z) t) -1) (/ 1 (/ t (* (log t) (- 1/2 a)))))
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (+.f64 a #s(literal -1/2 binary64))))))
(+ (/ (log z) t) -1)
(+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))
(/ (log z) t)
(/.f64 (log.f64 z) t)
(log z)
(log.f64 z)
z
-1
#s(literal -1 binary64)
(/ 1 (/ t (* (log t) (- 1/2 a))))
(/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))
1
#s(literal 1 binary64)
(/ t (* (log t) (- 1/2 a)))
(/.f64 (/.f64 t (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a))
(* (log t) (- 1/2 a))
(*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))
(log t)
(log.f64 t)
(- 1/2 a)
(-.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
t
(log (+ y x))
(log.f64 (+.f64 x y))
(+ y x)
(+.f64 x y)
y
x
(+ (+ (* (log t) (+ a -1/2)) (log z)) t)
(+.f64 t (+.f64 (log.f64 z) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))
(+ (* (log t) (+ a -1/2)) (log z))
(+.f64 (log.f64 z) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
(* (log t) (+ a -1/2))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(log t)
(log.f64 t)
t
(+ a -1/2)
(+.f64 a #s(literal -1/2 binary64))
a
-1/2
#s(literal -1/2 binary64)
(log z)
(log.f64 z)
z
(+ (log z) (+ (* (log t) (+ a -1/2)) (log y)))
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)))
(log z)
(log.f64 z)
z
(+ (* (log t) (+ a -1/2)) (log y))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y))
(* (log t) (+ a -1/2))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(log t)
(log.f64 t)
t
(+ a -1/2)
(+.f64 a #s(literal -1/2 binary64))
a
-1/2
#s(literal -1/2 binary64)
(log y)
(log.f64 y)
y

localize255.0ms (1.5%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 t)
accuracy99.8%
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
accuracy99.7%
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y))
accuracy99.6%
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)))
accuracy100.0%
(log.f64 t)
accuracy100.0%
(+.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 z)) t)
accuracy99.8%
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
accuracy99.5%
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 z))
accuracy100.0%
(+.f64 y x)
accuracy100.0%
(log.f64 (+.f64 y x))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
accuracy99.6%
(/.f64 (log.f64 z) t)
accuracy99.3%
(/.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))
accuracy88.1%
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))))
Results
207.0ms256×0valid
Compiler

Compiled 210 to 32 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-log: 18.0ms (39.3% of total)
ival-add: 13.0ms (28.4% of total)
ival-div: 6.0ms (13.1% of total)
ival-mult: 5.0ms (10.9% of total)
ival-sub: 3.0ms (6.6% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.1%)

Counts
15 → 444
Calls
Call 1
Inputs
#<alt (* t (- (+ (/ (log z) t) -1) (/ 1 (/ t (* (log t) (- 1/2 a))))))>
#<alt (/ 1 (/ t (* (log t) (- 1/2 a))))>
#<alt (+ (log (+ x y)) (* t (- (+ (/ (log z) t) -1) (/ 1 (/ t (* (log t) (- 1/2 a)))))))>
#<alt (log (+ x y))>
#<alt (log (+ y x))>
#<alt (+ y x)>
#<alt (+ (+ (* (log t) (+ a -1/2)) (log z)) t)>
#<alt (+ (* (log t) (+ a -1/2)) (log z))>
#<alt (* (log t) (+ a -1/2))>
#<alt (log t)>
#<alt (+ (log z) (+ (* (log t) (+ a -1/2)) (log y)))>
#<alt (log z)>
#<alt (+ (* (log t) (+ a -1/2)) (log y))>
#<alt (/ t (* (log t) (- 1/2 a)))>
#<alt (/ (log z) t)>
Outputs
#<alt (- (log z) (* (log t) (- 1/2 a)))>
#<alt (- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))>
#<alt (- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))>
#<alt (- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))>
#<alt (* -1 t)>
#<alt (* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))>
#<alt (* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))>
#<alt (* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))>
#<alt (* -1 t)>
#<alt (* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))>
#<alt (* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))>
#<alt (* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))>
#<alt (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))>
#<alt (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))>
#<alt (+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))))>
#<alt (+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))))>
#<alt (+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))))>
#<alt (* a (log t))>
#<alt (* a (+ (log t) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))>
#<alt (* a (+ (log t) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))>
#<alt (* a (+ (log t) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))>
#<alt (* a (log t))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))))>
#<alt (/ (* (log t) (- 1/2 a)) t)>
#<alt (/ (* (log t) (- 1/2 a)) t)>
#<alt (/ (* (log t) (- 1/2 a)) t)>
#<alt (/ (* (log t) (- 1/2 a)) t)>
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))>
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))>
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))>
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))>
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)>
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)>
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)>
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)>
#<alt (* 1/2 (/ (log t) t))>
#<alt (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))>
#<alt (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))>
#<alt (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t)))>
#<alt (* -1 (/ (* a (log t)) t))>
#<alt (* a (+ (* -1 (/ (log t) t)) (* 1/2 (/ (log t) (* a t)))))>
#<alt (* a (+ (* -1 (/ (log t) t)) (* 1/2 (/ (log t) (* a t)))))>
#<alt (* a (+ (* -1 (/ (log t) t)) (* 1/2 (/ (log t) (* a t)))))>
#<alt (* -1 (/ (* a (log t)) t))>
#<alt (* -1 (* a (+ (* -1/2 (/ (log t) (* a t))) (/ (log t) t))))>
#<alt (* -1 (* a (+ (* -1/2 (/ (log t) (* a t))) (/ (log t) t))))>
#<alt (* -1 (* a (+ (* -1/2 (/ (log t) (* a t))) (/ (log t) t))))>
#<alt (+ (log y) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))>
#<alt (+ (log y) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ x y)))>
#<alt (+ (log y) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))))>
#<alt (+ (log y) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))>
#<alt (+ (* -1 (log (/ 1 x))) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ y x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ y x))))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ y x)))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ y x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))))>
#<alt (+ (log x) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))>
#<alt (+ (log x) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ y x)))>
#<alt (+ (log x) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))))>
#<alt (+ (log x) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))))>
#<alt (+ (* -1 (log (/ 1 y))) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ x y)))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ x y))))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ x y)))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ x y))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))))>
#<alt (- (+ (log z) (log (+ x y))) (* (log t) (- 1/2 a)))>
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a)))>
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a)))>
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a)))>
#<alt (* -1 t)>
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))>
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))>
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))>
#<alt (* -1 t)>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log (+ x y)) (* -1 (- (* -1 (log z)) (* -1 (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)))))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log (+ x y)) (* -1 (- (* -1 (log z)) (* -1 (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)))))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log (+ x y)) (* -1 (- (* -1 (log z)) (* -1 (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)))))) t)))))>
#<alt (+ (log (+ x y)) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))>
#<alt (+ (log (+ x y)) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))>
#<alt (+ (log (+ x y)) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))>
#<alt (+ (log (+ x y)) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))>
#<alt (+ (log (+ x y)) (* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))>
#<alt (+ (log (+ x y)) (* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))>
#<alt (+ (log (+ x y)) (* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))>
#<alt (+ (log (+ x y)) (* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))>
#<alt (+ (log (+ x y)) (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))>
#<alt (+ (log (+ x y)) (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))>
#<alt (+ (log (+ x y)) (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))>
#<alt (+ (log (+ x y)) (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))>
#<alt (+ (log (+ x y)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))))>
#<alt (+ (log (+ x y)) (+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))))>
#<alt (+ (log (+ x y)) (+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))))>
#<alt (+ (log (+ x y)) (+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))))>
#<alt (* a (log t))>
#<alt (* a (+ (log t) (+ (/ (log (+ x y)) a) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a))))>
#<alt (* a (+ (log t) (+ (/ (log (+ x y)) a) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a))))>
#<alt (* a (+ (log t) (+ (/ (log (+ x y)) a) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a))))>
#<alt (* a (log t))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))) a)))))>
#<alt (log y)>
#<alt (+ (log y) (/ x y))>
#<alt (+ (log y) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))>
#<alt (+ (log y) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ y x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ y x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))>
#<alt (log x)>
#<alt (+ (log x) (/ y x))>
#<alt (+ (log x) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))>
#<alt (+ (log x) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (+ (* -1 (log (/ 1 y))) (/ x y))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (/ x y)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))>
#<alt (log x)>
#<alt (+ (log x) (/ y x))>
#<alt (+ (log x) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))>
#<alt (+ (log x) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (+ (* -1 (log (/ 1 y))) (/ x y))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (/ x y)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))>
#<alt (log y)>
#<alt (+ (log y) (/ x y))>
#<alt (+ (log y) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))>
#<alt (+ (log y) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ y x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ y x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (+ (log z) (* (log t) (- a 1/2)))>
#<alt (+ t (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ t (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ t (+ (log z) (* (log t) (- a 1/2))))>
#<alt t>
#<alt (* t (+ 1 (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log z) t))))>
#<alt (* t (+ 1 (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log z) t))))>
#<alt (* t (+ 1 (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log z) t))))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)) 1)))>
#<alt (+ t (+ (log z) (* -1/2 (log t))))>
#<alt (+ t (+ (log z) (+ (* -1/2 (log t)) (* a (log t)))))>
#<alt (+ t (+ (log z) (+ (* -1/2 (log t)) (* a (log t)))))>
#<alt (+ t (+ (log z) (+ (* -1/2 (log t)) (* a (log t)))))>
#<alt (* a (log t))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ t a) (/ (log z) a)))))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ t a) (/ (log z) a)))))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ t a) (/ (log z) a)))))>
#<alt (* a (log t))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ t (+ (log z) (* -1/2 (log t)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ t (+ (log z) (* -1/2 (log t)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ t (+ (log z) (* -1/2 (log t)))) a)))))>
#<alt (+ t (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ t (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ t (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ t (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ t (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2))))>
#<alt (+ t (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2))))>
#<alt (+ t (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2))))>
#<alt (+ t (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2))))>
#<alt (+ t (+ (log -1) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2)))))>
#<alt (+ t (+ (log -1) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2)))))>
#<alt (+ t (+ (log -1) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2)))))>
#<alt (+ t (+ (log -1) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2)))))>
#<alt (+ (log z) (* (log t) (- a 1/2)))>
#<alt (+ (log z) (* (log t) (- a 1/2)))>
#<alt (+ (log z) (* (log t) (- a 1/2)))>
#<alt (+ (log z) (* (log t) (- a 1/2)))>
#<alt (+ (log z) (* -1 (* (log (/ 1 t)) (- a 1/2))))>
#<alt (+ (log z) (* -1 (* (log (/ 1 t)) (- a 1/2))))>
#<alt (+ (log z) (* -1 (* (log (/ 1 t)) (- a 1/2))))>
#<alt (+ (log z) (* -1 (* (log (/ 1 t)) (- a 1/2))))>
#<alt (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))>
#<alt (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))>
#<alt (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))>
#<alt (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))>
#<alt (+ (log z) (* -1/2 (log t)))>
#<alt (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))>
#<alt (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))>
#<alt (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))>
#<alt (* a (log t))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log z) a))))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log z) a))))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log z) a))))>
#<alt (* a (log t))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log z) (* -1/2 (log t))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log z) (* -1/2 (log t))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log z) (* -1/2 (log t))) a)))))>
#<alt (+ (log z) (* (log t) (- a 1/2)))>
#<alt (+ (log z) (* (log t) (- a 1/2)))>
#<alt (+ (log z) (* (log t) (- a 1/2)))>
#<alt (+ (log z) (* (log t) (- a 1/2)))>
#<alt (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))>
#<alt (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))>
#<alt (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))>
#<alt (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))>
#<alt (* (log t) (- a 1/2))>
#<alt (* (log t) (- a 1/2))>
#<alt (* (log t) (- a 1/2))>
#<alt (* (log t) (- a 1/2))>
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))>
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))>
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))>
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))>
#<alt (* -1/2 (log t))>
#<alt (+ (* -1/2 (log t)) (* a (log t)))>
#<alt (+ (* -1/2 (log t)) (* a (log t)))>
#<alt (+ (* -1/2 (log t)) (* a (log t)))>
#<alt (* a (log t))>
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))>
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))>
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))>
#<alt (* a (log t))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))>
#<alt (log t)>
#<alt (log t)>
#<alt (log t)>
#<alt (log t)>
#<alt (* -1 (log (/ 1 t)))>
#<alt (* -1 (log (/ 1 t)))>
#<alt (* -1 (log (/ 1 t)))>
#<alt (* -1 (log (/ 1 t)))>
#<alt (+ (log -1) (* -1 (log (/ -1 t))))>
#<alt (+ (log -1) (* -1 (log (/ -1 t))))>
#<alt (+ (log -1) (* -1 (log (/ -1 t))))>
#<alt (+ (log -1) (* -1 (log (/ -1 t))))>
#<alt (+ (log y) (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ (log y) (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ (log y) (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ (log y) (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2))))>
#<alt (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2))))>
#<alt (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2))))>
#<alt (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2))))>
#<alt (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2)))))>
#<alt (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2)))))>
#<alt (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2)))))>
#<alt (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2)))))>
#<alt (+ (log y) (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ (log y) (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ (log y) (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ (log y) (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ (log y) (+ (log z) (* -1 (* (log (/ 1 t)) (- a 1/2)))))>
#<alt (+ (log y) (+ (log z) (* -1 (* (log (/ 1 t)) (- a 1/2)))))>
#<alt (+ (log y) (+ (log z) (* -1 (* (log (/ 1 t)) (- a 1/2)))))>
#<alt (+ (log y) (+ (log z) (* -1 (* (log (/ 1 t)) (- a 1/2)))))>
#<alt (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))))>
#<alt (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))))>
#<alt (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))))>
#<alt (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))))>
#<alt (+ (log y) (+ (log z) (* -1/2 (log t))))>
#<alt (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t)))))>
#<alt (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t)))))>
#<alt (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t)))))>
#<alt (* a (log t))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))))>
#<alt (* a (log t))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log y) (+ (log z) (* -1/2 (log t)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log y) (+ (log z) (* -1/2 (log t)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log y) (+ (log z) (* -1/2 (log t)))) a)))))>
#<alt (+ (log y) (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ (log y) (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ (log y) (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ (log y) (+ (log z) (* (log t) (- a 1/2))))>
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2))))>
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2))))>
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2))))>
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2))))>
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2)))))>
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2)))))>
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2)))))>
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2)))))>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log y) (* (log t) (- a 1/2)))>
#<alt (+ (log y) (* (log t) (- a 1/2)))>
#<alt (+ (log y) (* (log t) (- a 1/2)))>
#<alt (+ (log y) (* (log t) (- a 1/2)))>
#<alt (+ (log y) (* -1 (* (log (/ 1 t)) (- a 1/2))))>
#<alt (+ (log y) (* -1 (* (log (/ 1 t)) (- a 1/2))))>
#<alt (+ (log y) (* -1 (* (log (/ 1 t)) (- a 1/2))))>
#<alt (+ (log y) (* -1 (* (log (/ 1 t)) (- a 1/2))))>
#<alt (+ (log y) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))>
#<alt (+ (log y) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))>
#<alt (+ (log y) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))>
#<alt (+ (log y) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))>
#<alt (+ (log y) (* -1/2 (log t)))>
#<alt (+ (log y) (+ (* -1/2 (log t)) (* a (log t))))>
#<alt (+ (log y) (+ (* -1/2 (log t)) (* a (log t))))>
#<alt (+ (log y) (+ (* -1/2 (log t)) (* a (log t))))>
#<alt (* a (log t))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log y) a))))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log y) a))))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log y) a))))>
#<alt (* a (log t))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log y) (* -1/2 (log t))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log y) (* -1/2 (log t))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log y) (* -1/2 (log t))) a)))))>
#<alt (+ (log y) (* (log t) (- a 1/2)))>
#<alt (+ (log y) (* (log t) (- a 1/2)))>
#<alt (+ (log y) (* (log t) (- a 1/2)))>
#<alt (+ (log y) (* (log t) (- a 1/2)))>
#<alt (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))>
#<alt (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))>
#<alt (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))>
#<alt (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))>
#<alt (/ t (* (log t) (- 1/2 a)))>
#<alt (/ t (* (log t) (- 1/2 a)))>
#<alt (/ t (* (log t) (- 1/2 a)))>
#<alt (/ t (* (log t) (- 1/2 a)))>
#<alt (* -1 (/ t (* (log (/ 1 t)) (- 1/2 a))))>
#<alt (* -1 (/ t (* (log (/ 1 t)) (- 1/2 a))))>
#<alt (* -1 (/ t (* (log (/ 1 t)) (- 1/2 a))))>
#<alt (* -1 (/ t (* (log (/ 1 t)) (- 1/2 a))))>
#<alt (/ t (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)))>
#<alt (/ t (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)))>
#<alt (/ t (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)))>
#<alt (/ t (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)))>
#<alt (* 2 (/ t (log t)))>
#<alt (+ (* 2 (/ t (log t))) (* 4 (/ (* a t) (log t))))>
#<alt (+ (* 2 (/ t (log t))) (* a (- (* 8 (/ (* a t) (log t))) (* -4 (/ t (log t))))))>
#<alt (+ (* 2 (/ t (log t))) (* a (- (* a (- (* 16 (/ (* a t) (log t))) (* -8 (/ t (log t))))) (* -4 (/ t (log t))))))>
#<alt (* -1 (/ t (* a (log t))))>
#<alt (/ (+ (* -1 (/ t (log t))) (* -1/2 (/ t (* a (log t))))) a)>
#<alt (/ (- (+ (* -1 (/ t (log t))) (* -1/4 (/ t (* (pow a 2) (log t))))) (* 1/2 (/ t (* a (log t))))) a)>
#<alt (/ (- (+ (* -1 (/ t (log t))) (* -1/8 (/ t (* (pow a 3) (log t))))) (+ (* 1/4 (/ t (* (pow a 2) (log t)))) (* 1/2 (/ t (* a (log t)))))) a)>
#<alt (* -1 (/ t (* a (log t))))>
#<alt (* -1 (/ (+ (* 1/2 (/ t (* a (log t)))) (/ t (log t))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/4 (/ t (* a (log t)))) (* 1/2 (/ t (log t)))) a)) (/ t (log t))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ t (* a (log t)))) (* -1/4 (/ t (log t)))) a)) (* 1/2 (/ t (log t)))) a)) (/ t (log t))) a))>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (* -1 (/ (log (/ 1 z)) t))>
#<alt (* -1 (/ (log (/ 1 z)) t))>
#<alt (* -1 (/ (log (/ 1 z)) t))>
#<alt (* -1 (/ (log (/ 1 z)) t))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) t)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) t)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) t)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
#<alt (/ (log z) t)>
Calls

111 calls:

TimeVariablePointExpression
5.0ms
t
@0
(+ (log z) (+ (* (log t) (+ a -1/2)) (log y)))
3.0ms
t
@inf
(/ t (* (log t) (- 1/2 a)))
1.0ms
t
@-inf
(/ t (* (log t) (- 1/2 a)))
0.0ms
t
@0
(/ t (* (log t) (- 1/2 a)))
0.0ms
a
@inf
(/ t (* (log t) (- 1/2 a)))

rewrite331.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
4306×*-lowering-*.f32
4306×*-lowering-*.f64
2522×+-lowering-+.f64
2522×+-lowering-+.f32
2434×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031120
1212116
22138111
09092111
Stop Event
iter limit
node limit
Counts
15 → 328
Calls
Call 1
Inputs
(* t (- (+ (/ (log z) t) -1) (/ 1 (/ t (* (log t) (- 1/2 a))))))
(/ 1 (/ t (* (log t) (- 1/2 a))))
(+ (log (+ x y)) (* t (- (+ (/ (log z) t) -1) (/ 1 (/ t (* (log t) (- 1/2 a)))))))
(log (+ x y))
(log (+ y x))
(+ y x)
(+ (+ (* (log t) (+ a -1/2)) (log z)) t)
(+ (* (log t) (+ a -1/2)) (log z))
(* (log t) (+ a -1/2))
(log t)
(+ (log z) (+ (* (log t) (+ a -1/2)) (log y)))
(log z)
(+ (* (log t) (+ a -1/2)) (log y))
(/ t (* (log t) (- 1/2 a)))
(/ (log z) t)
Outputs
(+.f64 (*.f64 t (/.f64 (log.f64 z) t)) (*.f64 t (-.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(+.f64 (*.f64 (/.f64 (log.f64 z) t) t) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))) t))
(+.f64 (*.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) t) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))) t))
(fma.f64 t (/.f64 (log.f64 z) t) (*.f64 t (-.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(fma.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(fma.f64 (/.f64 (log.f64 z) t) t (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))) t))
(fma.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) t (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))) t))
(/.f64 (*.f64 t (-.f64 (pow.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 t (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a)) #s(literal -3 binary64)))) (+.f64 (pow.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)) (+.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))))
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(log.f64 z)
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y))
(+.f64 (log.f64 y) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
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(fma.f64 (log.f64 t) a (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 y)))
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y))
(fma.f64 a (log.f64 t) (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 y)))
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 y))
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(pow.f64 (/.f64 (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)) (-.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y))))
(exp.f64 (log.f64 (/.f64 (/.f64 t (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 t (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a))))
(/.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))
(/.f64 t (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) a) (/.f64 t (log.f64 t))))
(/.f64 (/.f64 (/.f64 t (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 1 binary64))
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(/.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 t (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a))) #s(literal -1 binary64))
(/.f64 (/.f64 t (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a))
(/.f64 (/.f64 t (log.f64 t)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) a)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
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(pow.f64 (/.f64 (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) a) (/.f64 t (log.f64 t))) #s(literal -1 binary64))
(*.f64 t (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a)))
(*.f64 t (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 t (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 (/.f64 t (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a)) t)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a)) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)))
(*.f64 (/.f64 t (log.f64 t)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 t)) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) a) t) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) a)) (/.f64 t (log.f64 t)))
(*.f64 (/.f64 (/.f64 t (log.f64 t)) (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a))))
(*.f64 (/.f64 (/.f64 t (log.f64 t)) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 t (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (/.f64 t (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 t)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) a)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 t)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 t (log.f64 z))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)))
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(/.f64 (log.f64 z) t)
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(pow.f64 (/.f64 (/.f64 t (log.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (log.f64 z) (/.f64 #s(literal 1 binary64) t))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 z) t))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 z))
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal -1 binary64)))

simplify380.0ms (2.3%)

Algorithm
egg-herbie
Rules
3912×*-lowering-*.f32
3912×*-lowering-*.f64
2490×+-lowering-+.f64
2490×+-lowering-+.f32
1648×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04716051
115175487
250645381
084875381
Stop Event
iter limit
node limit
Counts
444 → 444
Calls
Call 1
Inputs
(- (log z) (* (log t) (- 1/2 a)))
(- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))
(- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))
(- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))
(* -1 t)
(* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(* -1 t)
(* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))
(* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))
(* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))
(* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
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(/ (* (log t) (- 1/2 a)) t)
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(/ (* (log t) (- 1/2 a)) t)
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(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)
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(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)
(* 1/2 (/ (log t) t))
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(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))) a)))))
(log y)
(+ (log y) (/ x y))
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(log x)
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(log x)
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(log y)
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x
(+ x y)
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y
(* y (+ 1 (/ x y)))
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y
(* -1 (* y (- (* -1 (/ x y)) 1)))
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y
(+ x y)
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x
(* x (+ 1 (/ y x)))
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x
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t
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t
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(* -1/2 (log t))
(+ (* -1/2 (log t)) (* a (log t)))
(+ (* -1/2 (log t)) (* a (log t)))
(+ (* -1/2 (log t)) (* a (log t)))
(* a (log t))
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(* a (log t))
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(log t)
(log t)
(log t)
(log t)
(* -1 (log (/ 1 t)))
(* -1 (log (/ 1 t)))
(* -1 (log (/ 1 t)))
(* -1 (log (/ 1 t)))
(+ (log -1) (* -1 (log (/ -1 t))))
(+ (log -1) (* -1 (log (/ -1 t))))
(+ (log -1) (* -1 (log (/ -1 t))))
(+ (log -1) (* -1 (log (/ -1 t))))
(+ (log y) (+ (log z) (* (log t) (- a 1/2))))
(+ (log y) (+ (log z) (* (log t) (- a 1/2))))
(+ (log y) (+ (log z) (* (log t) (- a 1/2))))
(+ (log y) (+ (log z) (* (log t) (- a 1/2))))
(+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2))))
(+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2))))
(+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2))))
(+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2))))
(+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2)))))
(+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2)))))
(+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2)))))
(+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2)))))
(+ (log y) (+ (log z) (* (log t) (- a 1/2))))
(+ (log y) (+ (log z) (* (log t) (- a 1/2))))
(+ (log y) (+ (log z) (* (log t) (- a 1/2))))
(+ (log y) (+ (log z) (* (log t) (- a 1/2))))
(+ (log y) (+ (log z) (* -1 (* (log (/ 1 t)) (- a 1/2)))))
(+ (log y) (+ (log z) (* -1 (* (log (/ 1 t)) (- a 1/2)))))
(+ (log y) (+ (log z) (* -1 (* (log (/ 1 t)) (- a 1/2)))))
(+ (log y) (+ (log z) (* -1 (* (log (/ 1 t)) (- a 1/2)))))
(+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))))
(+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))))
(+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))))
(+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))))
(+ (log y) (+ (log z) (* -1/2 (log t))))
(+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t)))))
(+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t)))))
(+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t)))))
(* a (log t))
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))))
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))))
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))))
(* a (log t))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log y) (+ (log z) (* -1/2 (log t)))) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log y) (+ (log z) (* -1/2 (log t)))) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log y) (+ (log z) (* -1/2 (log t)))) a)))))
(+ (log y) (+ (log z) (* (log t) (- a 1/2))))
(+ (log y) (+ (log z) (* (log t) (- a 1/2))))
(+ (log y) (+ (log z) (* (log t) (- a 1/2))))
(+ (log y) (+ (log z) (* (log t) (- a 1/2))))
(+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2))))
(+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2))))
(+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2))))
(+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2)))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2)))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2)))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2)))))
(log z)
(log z)
(log z)
(log z)
(* -1 (log (/ 1 z)))
(* -1 (log (/ 1 z)))
(* -1 (log (/ 1 z)))
(* -1 (log (/ 1 z)))
(+ (log -1) (* -1 (log (/ -1 z))))
(+ (log -1) (* -1 (log (/ -1 z))))
(+ (log -1) (* -1 (log (/ -1 z))))
(+ (log -1) (* -1 (log (/ -1 z))))
(+ (log y) (* (log t) (- a 1/2)))
(+ (log y) (* (log t) (- a 1/2)))
(+ (log y) (* (log t) (- a 1/2)))
(+ (log y) (* (log t) (- a 1/2)))
(+ (log y) (* -1 (* (log (/ 1 t)) (- a 1/2))))
(+ (log y) (* -1 (* (log (/ 1 t)) (- a 1/2))))
(+ (log y) (* -1 (* (log (/ 1 t)) (- a 1/2))))
(+ (log y) (* -1 (* (log (/ 1 t)) (- a 1/2))))
(+ (log y) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))
(+ (log y) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))
(+ (log y) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))
(+ (log y) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))
(+ (log y) (* -1/2 (log t)))
(+ (log y) (+ (* -1/2 (log t)) (* a (log t))))
(+ (log y) (+ (* -1/2 (log t)) (* a (log t))))
(+ (log y) (+ (* -1/2 (log t)) (* a (log t))))
(* a (log t))
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log y) a))))
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log y) a))))
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log y) a))))
(* a (log t))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log y) (* -1/2 (log t))) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log y) (* -1/2 (log t))) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log y) (* -1/2 (log t))) a)))))
(+ (log y) (* (log t) (- a 1/2)))
(+ (log y) (* (log t) (- a 1/2)))
(+ (log y) (* (log t) (- a 1/2)))
(+ (log y) (* (log t) (- a 1/2)))
(+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))
(+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))
(+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))
(+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))
(/ t (* (log t) (- 1/2 a)))
(/ t (* (log t) (- 1/2 a)))
(/ t (* (log t) (- 1/2 a)))
(/ t (* (log t) (- 1/2 a)))
(* -1 (/ t (* (log (/ 1 t)) (- 1/2 a))))
(* -1 (/ t (* (log (/ 1 t)) (- 1/2 a))))
(* -1 (/ t (* (log (/ 1 t)) (- 1/2 a))))
(* -1 (/ t (* (log (/ 1 t)) (- 1/2 a))))
(/ t (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)))
(/ t (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)))
(/ t (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)))
(/ t (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)))
(* 2 (/ t (log t)))
(+ (* 2 (/ t (log t))) (* 4 (/ (* a t) (log t))))
(+ (* 2 (/ t (log t))) (* a (- (* 8 (/ (* a t) (log t))) (* -4 (/ t (log t))))))
(+ (* 2 (/ t (log t))) (* a (- (* a (- (* 16 (/ (* a t) (log t))) (* -8 (/ t (log t))))) (* -4 (/ t (log t))))))
(* -1 (/ t (* a (log t))))
(/ (+ (* -1 (/ t (log t))) (* -1/2 (/ t (* a (log t))))) a)
(/ (- (+ (* -1 (/ t (log t))) (* -1/4 (/ t (* (pow a 2) (log t))))) (* 1/2 (/ t (* a (log t))))) a)
(/ (- (+ (* -1 (/ t (log t))) (* -1/8 (/ t (* (pow a 3) (log t))))) (+ (* 1/4 (/ t (* (pow a 2) (log t)))) (* 1/2 (/ t (* a (log t)))))) a)
(* -1 (/ t (* a (log t))))
(* -1 (/ (+ (* 1/2 (/ t (* a (log t)))) (/ t (log t))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1/4 (/ t (* a (log t)))) (* 1/2 (/ t (log t)))) a)) (/ t (log t))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ t (* a (log t)))) (* -1/4 (/ t (log t)))) a)) (* 1/2 (/ t (log t)))) a)) (/ t (log t))) a))
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(* -1 (/ (log (/ 1 z)) t))
(* -1 (/ (log (/ 1 z)) t))
(* -1 (/ (log (/ 1 z)) t))
(* -1 (/ (log (/ 1 z)) t))
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t)
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t)
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t)
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
Outputs
(- (log z) (* (log t) (- 1/2 a)))
(-.f64 (log.f64 z) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))
(- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))
(-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))
(- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))
(-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))
(- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a)))
(-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))
(* -1 t)
(-.f64 #s(literal 0 binary64) t)
(* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* -1 t)
(-.f64 #s(literal 0 binary64) t)
(* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))
(*.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 z) t)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) t)))
(* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))
(*.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 z) t)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) t)))
(* -1 (* t (- (+ 1 (* -1 (/ (log z) t))) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)))))
(*.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 z) t)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) t)))
(* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
(* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t) (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t) (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t) (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t))))
(*.f64 t (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t) (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))
(*.f64 t (+.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (/.f64 (log.f64 t) t) #s(literal -1/2 binary64))))
(+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))))
(+.f64 (*.f64 t (+.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (/.f64 (log.f64 t) t) #s(literal -1/2 binary64)))) (*.f64 (log.f64 t) a))
(+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))))
(+.f64 (*.f64 t (+.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (/.f64 (log.f64 t) t) #s(literal -1/2 binary64)))) (*.f64 (log.f64 t) a))
(+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))))
(+.f64 (*.f64 t (+.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (/.f64 (log.f64 t) t) #s(literal -1/2 binary64)))) (*.f64 (log.f64 t) a))
(* a (log t))
(*.f64 (log.f64 t) a)
(* a (+ (log t) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))
(*.f64 a (+.f64 (log.f64 t) (*.f64 (+.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (/.f64 (log.f64 t) t) #s(literal -1/2 binary64))) (/.f64 t a))))
(* a (+ (log t) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))
(*.f64 a (+.f64 (log.f64 t) (*.f64 (+.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (/.f64 (log.f64 t) t) #s(literal -1/2 binary64))) (/.f64 t a))))
(* a (+ (log t) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))
(*.f64 a (+.f64 (log.f64 t) (*.f64 (+.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (/.f64 (log.f64 t) t) #s(literal -1/2 binary64))) (/.f64 t a))))
(* a (log t))
(*.f64 (log.f64 t) a)
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))))
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (/.f64 (log.f64 t) t) #s(literal -1/2 binary64)))) a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))))
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (/.f64 (log.f64 t) t) #s(literal -1/2 binary64)))) a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a)))))
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (/.f64 (log.f64 t) t) #s(literal -1/2 binary64)))) a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a))
(/ (* (log t) (- 1/2 a)) t)
(*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))
(/ (* (log t) (- 1/2 a)) t)
(*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))
(/ (* (log t) (- 1/2 a)) t)
(*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))
(/ (* (log t) (- 1/2 a)) t)
(*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))
(* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))
(*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))
(* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))
(*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))
(* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))
(*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))
(* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))
(*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) t)
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(/.f64 (-.f64 (/.f64 t (log.f64 t)) (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 t (log.f64 t)) a) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 t (log.f64 t)))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ t (* a (log t)))) (* -1/4 (/ t (log t)))) a)) (* 1/2 (/ t (log t)))) a)) (/ t (log t))) a))
(/.f64 (-.f64 (/.f64 t (log.f64 t)) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 t (log.f64 t)) a) #s(literal 1/8 binary64)) (*.f64 (/.f64 t (log.f64 t)) #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) a)) (*.f64 #s(literal -1/2 binary64) (/.f64 t (log.f64 t)))) a)) (-.f64 #s(literal 0 binary64) a))
(/ (log z) t)
(/.f64 (log.f64 z) t)
(/ (log z) t)
(/.f64 (log.f64 z) t)
(/ (log z) t)
(/.f64 (log.f64 z) t)
(/ (log z) t)
(/.f64 (log.f64 z) t)
(* -1 (/ (log (/ 1 z)) t))
(/.f64 (log.f64 z) t)
(* -1 (/ (log (/ 1 z)) t))
(/.f64 (log.f64 z) t)
(* -1 (/ (log (/ 1 z)) t))
(/.f64 (log.f64 z) t)
(* -1 (/ (log (/ 1 z)) t))
(/.f64 (log.f64 z) t)
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t)
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t)
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t)
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t)
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t)
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t)
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t)
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t)
(/ (log z) t)
(/.f64 (log.f64 z) t)
(/ (log z) t)
(/.f64 (log.f64 z) t)
(/ (log z) t)
(/.f64 (log.f64 z) t)
(/ (log z) t)
(/.f64 (log.f64 z) t)
(/ (log z) t)
(/.f64 (log.f64 z) t)
(/ (log z) t)
(/.f64 (log.f64 z) t)
(/ (log z) t)
(/.f64 (log.f64 z) t)
(/ (log z) t)
(/.f64 (log.f64 z) t)
(/ (log z) t)
(/.f64 (log.f64 z) t)
(/ (log z) t)
(/.f64 (log.f64 z) t)
(/ (log z) t)
(/.f64 (log.f64 z) t)
(/ (log z) t)
(/.f64 (log.f64 z) t)

eval127.0ms (0.8%)

Compiler

Compiled 19772 to 1648 computations (91.7% saved)

prune152.0ms (0.9%)

Pruning

48 alts after pruning (44 fresh and 4 done)

PrunedKeptTotal
New84715862
Fresh72936
Picked325
Done123
Total85848906
Accuracy
100.0%
Counts
906 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.2%
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 #s(literal 0 binary64) t))
29.2%
(fma.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) a)) (+.f64 t (log.f64 (*.f64 z (+.f64 x y)))))
39.6%
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)) (log.f64 z)))
47.4%
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a)))) (*.f64 (-.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (log.f64 t)))) (*.f64 (-.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a)))))
9.5%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
1.5%
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
2.4%
(/.f64 (*.f64 t t) t)
16.4%
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
2.4%
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
36.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
74.6%
(-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) t)
1.5%
(+.f64 (/.f64 y x) (log.f64 x))
77.2%
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
5.7%
(+.f64 (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 z)) t)
61.4%
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
77.6%
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64)))))
50.7%
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) a) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))))))
77.3%
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))
48.0%
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z (+.f64 y x))))
47.8%
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y)))
87.8%
(+.f64 (*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))) (log.f64 y))
77.6%
(+.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
56.5%
(+.f64 (log.f64 (+.f64 x y)) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64)) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) a)) (+.f64 (log.f64 t) (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)))))
61.1%
(+.f64 (log.f64 (+.f64 x y)) (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 t (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a)) #s(literal -2 binary64))) t) (+.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
40.5%
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
53.0%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) #s(literal 3 binary64)) (pow.f64 (log.f64 t) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64)) (*.f64 (log.f64 t) (+.f64 (log.f64 t) (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)))))) (-.f64 #s(literal 0 binary64) a)))
87.9%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a))))))
87.9%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))))
61.5%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (log.f64 t)))))))
40.4%
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))
25.8%
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 y)))
41.9%
(+.f64 (log.f64 z) (*.f64 (log.f64 t) a))
25.9%
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
42.3%
(+.f64 (log.f64 y) (*.f64 (log.f64 t) a))
18.8%
(*.f64 (-.f64 (log.f64 (*.f64 t (*.f64 t t))) (log.f64 (*.f64 t t))) a)
9.4%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
1.5%
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
16.4%
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
26.8%
(*.f64 (neg.f64 (log.f64 (/.f64 t (*.f64 t t)))) a)
39.1%
(*.f64 (log.f64 t) a)
65.9%
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))))
29.7%
(*.f64 t (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) (+.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))
87.8%
(*.f64 t (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) (+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))))
36.8%
(neg.f64 t)
6.0%
(log.f64 (+.f64 y x))
6.0%
(log.f64 y)
2.4%
(log.f64 x)
2.6%
t
Compiler

Compiled 2420 to 954 computations (60.6% saved)

regimes312.0ms (1.9%)

Counts
85 → 1
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
(log.f64 y)
(log.f64 (+.f64 y x))
(*.f64 (log.f64 t) a)
(+.f64 (/.f64 y x) (log.f64 x))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 (log.f64 (/.f64 t (*.f64 t t)))) a)
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 y) (*.f64 (log.f64 t) a))
(+.f64 (log.f64 z) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 x))
(+.f64 (log.f64 z) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 z)) t)
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 #s(literal 0 binary64) t))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (log.f64 (+.f64 y x)) a)))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 z)) t)
(*.f64 (-.f64 (log.f64 (*.f64 t (*.f64 t t))) (log.f64 (*.f64 t t))) a)
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z (+.f64 y x))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) t)
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (-.f64 (/.f64 t a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64)))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(*.f64 t (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)))))
(*.f64 t (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) (+.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) a) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))))))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 y)))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)))
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(+.f64 (log.f64 y) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (log.f64 z) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (-.f64 (log.f64 (+.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))) (log.f64 (*.f64 t t))) a))
(+.f64 (*.f64 t (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))) (log.f64 y))
(+.f64 (*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))) (log.f64 y))
(fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal -1/2 binary64) a)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(*.f64 t (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) (+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (log.f64 t)))))))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/4 binary64)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) a)) (+.f64 t (log.f64 (*.f64 z (+.f64 x y)))))
(*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a))))))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (-.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) (log.f64 t)) (-.f64 #s(literal 0 binary64) a)))
(*.f64 a (+.f64 (/.f64 (log.f64 z) a) (-.f64 (/.f64 (log.f64 (+.f64 y x)) a) (+.f64 (/.f64 t a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))))))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 t (log.f64 z))) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a)) (*.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (+.f64 #s(literal 1/2 binary64) a)))
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))))
(+.f64 (log.f64 (+.f64 x y)) (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a)) (*.f64 (+.f64 (log.f64 z) t) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)))) (*.f64 (+.f64 (log.f64 z) t) (+.f64 #s(literal 1/2 binary64) a))))
(+.f64 (log.f64 (+.f64 x y)) (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 t (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a)) #s(literal -2 binary64))) t) (+.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)) (log.f64 z)))
(+.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 t (+.f64 (log.f64 y) t)))) (log.f64 z)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (-.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))))
(+.f64 (log.f64 (+.f64 x y)) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64)) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) a)) (+.f64 (log.f64 t) (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) a)) (*.f64 (-.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)))) (*.f64 (-.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (+.f64 #s(literal 1/2 binary64) a)))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a)))) (*.f64 (-.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (log.f64 t)))) (*.f64 (-.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) #s(literal 3 binary64)) (pow.f64 (log.f64 t) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64)) (*.f64 (log.f64 t) (+.f64 (log.f64 t) (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)))))) (-.f64 #s(literal 0 binary64) a)))
Outputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Calls

11 calls:

39.0ms
y
29.0ms
(+.f64 x y)
28.0ms
a
27.0ms
x
27.0ms
(log.f64 z)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1z
99.7%1t
99.7%1a
99.7%1(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
99.7%1(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
99.7%1(log.f64 (+.f64 x y))
99.7%1(+.f64 x y)
99.7%1(log.f64 z)
99.7%1(-.f64 a #s(literal 1/2 binary64))
Compiler

Compiled 95 to 75 computations (21.1% saved)

regimes166.0ms (1%)

Counts
57 → 1
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
(log.f64 y)
(log.f64 (+.f64 y x))
(*.f64 (log.f64 t) a)
(+.f64 (/.f64 y x) (log.f64 x))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 (log.f64 (/.f64 t (*.f64 t t)))) a)
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 y) (*.f64 (log.f64 t) a))
(+.f64 (log.f64 z) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 x))
(+.f64 (log.f64 z) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 z)) t)
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 #s(literal 0 binary64) t))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (log.f64 (+.f64 y x)) a)))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 z)) t)
(*.f64 (-.f64 (log.f64 (*.f64 t (*.f64 t t))) (log.f64 (*.f64 t t))) a)
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z (+.f64 y x))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) t)
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (-.f64 (/.f64 t a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64)))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(*.f64 t (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)))))
(*.f64 t (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) (+.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) a) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))))))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 y)))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)))
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(+.f64 (log.f64 y) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (log.f64 z) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
Outputs
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
Calls

9 calls:

19.0ms
y
19.0ms
(+.f64 x y)
18.0ms
x
18.0ms
z
18.0ms
t
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
99.6%1t
99.6%1a
99.6%1(log.f64 (+.f64 x y))
99.6%1(+.f64 x y)
99.6%1(log.f64 z)
99.6%1(-.f64 a #s(literal 1/2 binary64))
Compiler

Compiled 62 to 51 computations (17.7% saved)

regimes216.0ms (1.3%)

Counts
56 → 1
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
(log.f64 y)
(log.f64 (+.f64 y x))
(*.f64 (log.f64 t) a)
(+.f64 (/.f64 y x) (log.f64 x))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 (log.f64 (/.f64 t (*.f64 t t)))) a)
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 y) (*.f64 (log.f64 t) a))
(+.f64 (log.f64 z) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 x))
(+.f64 (log.f64 z) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 z)) t)
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 #s(literal 0 binary64) t))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (log.f64 (+.f64 y x)) a)))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 z)) t)
(*.f64 (-.f64 (log.f64 (*.f64 t (*.f64 t t))) (log.f64 (*.f64 t t))) a)
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z (+.f64 y x))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) t)
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (-.f64 (/.f64 t a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64)))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(*.f64 t (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)))))
(*.f64 t (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) (+.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) a) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))))))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 y)))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)))
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(+.f64 (log.f64 y) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (log.f64 z) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
Outputs
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Calls

9 calls:

67.0ms
z
22.0ms
(+.f64 x y)
21.0ms
x
18.0ms
(log.f64 z)
18.0ms
a
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1z
99.5%1t
99.5%1a
99.5%1(log.f64 (+.f64 x y))
99.5%1(+.f64 x y)
99.5%1(log.f64 z)
99.5%1(-.f64 a #s(literal 1/2 binary64))
Compiler

Compiled 62 to 51 computations (17.7% saved)

regimes159.0ms (1%)

Counts
54 → 1
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
(log.f64 y)
(log.f64 (+.f64 y x))
(*.f64 (log.f64 t) a)
(+.f64 (/.f64 y x) (log.f64 x))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 (log.f64 (/.f64 t (*.f64 t t)))) a)
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 y) (*.f64 (log.f64 t) a))
(+.f64 (log.f64 z) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 x))
(+.f64 (log.f64 z) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 z)) t)
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 #s(literal 0 binary64) t))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (log.f64 (+.f64 y x)) a)))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 z)) t)
(*.f64 (-.f64 (log.f64 (*.f64 t (*.f64 t t))) (log.f64 (*.f64 t t))) a)
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z (+.f64 y x))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) t)
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (-.f64 (/.f64 t a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64)))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(*.f64 t (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)))))
(*.f64 t (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) (+.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) a) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))))))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 y)))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)))
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(+.f64 (log.f64 y) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (log.f64 z) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
Outputs
(+.f64 (log.f64 z) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
Calls

9 calls:

18.0ms
t
17.0ms
(+.f64 x y)
17.0ms
(-.f64 a #s(literal 1/2 binary64))
17.0ms
(log.f64 z)
17.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1z
99.5%1t
99.5%1a
99.5%1(log.f64 (+.f64 x y))
99.5%1(+.f64 x y)
99.5%1(log.f64 z)
99.5%1(-.f64 a #s(literal 1/2 binary64))
Compiler

Compiled 62 to 51 computations (17.7% saved)

regimes186.0ms (1.1%)

Counts
53 → 1
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
(log.f64 y)
(log.f64 (+.f64 y x))
(*.f64 (log.f64 t) a)
(+.f64 (/.f64 y x) (log.f64 x))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 (log.f64 (/.f64 t (*.f64 t t)))) a)
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 y) (*.f64 (log.f64 t) a))
(+.f64 (log.f64 z) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 x))
(+.f64 (log.f64 z) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 z)) t)
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 #s(literal 0 binary64) t))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (log.f64 (+.f64 y x)) a)))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 z)) t)
(*.f64 (-.f64 (log.f64 (*.f64 t (*.f64 t t))) (log.f64 (*.f64 t t))) a)
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z (+.f64 y x))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) t)
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (-.f64 (/.f64 t a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64)))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(*.f64 t (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)))))
(*.f64 t (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) (+.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) a) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))))))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 y)))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)))
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(+.f64 (log.f64 y) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
Outputs
(+.f64 (log.f64 y) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
Calls

9 calls:

48.0ms
y
20.0ms
t
17.0ms
x
17.0ms
(log.f64 z)
17.0ms
(log.f64 (+.f64 x y))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1z
99.5%1t
99.5%1a
99.5%1(log.f64 (+.f64 x y))
99.5%1(+.f64 x y)
99.5%1(log.f64 z)
99.5%1(-.f64 a #s(literal 1/2 binary64))
Compiler

Compiled 62 to 51 computations (17.7% saved)

regimes211.0ms (1.3%)

Counts
52 → 2
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
(log.f64 y)
(log.f64 (+.f64 y x))
(*.f64 (log.f64 t) a)
(+.f64 (/.f64 y x) (log.f64 x))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 (log.f64 (/.f64 t (*.f64 t t)))) a)
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 y) (*.f64 (log.f64 t) a))
(+.f64 (log.f64 z) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 x))
(+.f64 (log.f64 z) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 z)) t)
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 #s(literal 0 binary64) t))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (log.f64 (+.f64 y x)) a)))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 z)) t)
(*.f64 (-.f64 (log.f64 (*.f64 t (*.f64 t t))) (log.f64 (*.f64 t t))) a)
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z (+.f64 y x))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) t)
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (-.f64 (/.f64 t a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64)))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(*.f64 t (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)))))
(*.f64 t (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) (+.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) a) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))))))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 y)))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)))
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
Outputs
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))
Calls

9 calls:

63.0ms
z
31.0ms
x
18.0ms
(+.f64 x y)
17.0ms
(log.f64 (+.f64 x y))
17.0ms
a
Results
AccuracySegmentsBranch
83.5%4x
86.4%4y
88.1%3z
98.3%2t
98.7%3a
86.4%4(log.f64 (+.f64 x y))
86.4%4(+.f64 x y)
88.1%3(log.f64 z)
98.7%3(-.f64 a #s(literal 1/2 binary64))
Compiler

Compiled 62 to 51 computations (17.7% saved)

regimes51.0ms (0.3%)

Counts
50 → 3
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
(log.f64 y)
(log.f64 (+.f64 y x))
(*.f64 (log.f64 t) a)
(+.f64 (/.f64 y x) (log.f64 x))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 (log.f64 (/.f64 t (*.f64 t t)))) a)
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 y) (*.f64 (log.f64 t) a))
(+.f64 (log.f64 z) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 x))
(+.f64 (log.f64 z) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 z)) t)
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 #s(literal 0 binary64) t))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (log.f64 (+.f64 y x)) a)))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 z)) t)
(*.f64 (-.f64 (log.f64 (*.f64 t (*.f64 t t))) (log.f64 (*.f64 t t))) a)
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z (+.f64 y x))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) t)
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (-.f64 (/.f64 t a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64)))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(*.f64 t (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)))))
(*.f64 t (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) (+.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) a) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))))))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 y)))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)))
Outputs
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))
Calls

3 calls:

16.0ms
t
15.0ms
(-.f64 a #s(literal 1/2 binary64))
14.0ms
a
Results
AccuracySegmentsBranch
98.6%3a
98.6%3(-.f64 a #s(literal 1/2 binary64))
86.7%2t
Compiler

Compiled 20 to 17 computations (15% saved)

regimes52.0ms (0.3%)

Counts
49 → 2
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
(log.f64 y)
(log.f64 (+.f64 y x))
(*.f64 (log.f64 t) a)
(+.f64 (/.f64 y x) (log.f64 x))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 (log.f64 (/.f64 t (*.f64 t t)))) a)
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 y) (*.f64 (log.f64 t) a))
(+.f64 (log.f64 z) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 x))
(+.f64 (log.f64 z) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 z)) t)
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 #s(literal 0 binary64) t))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (log.f64 (+.f64 y x)) a)))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 z)) t)
(*.f64 (-.f64 (log.f64 (*.f64 t (*.f64 t t))) (log.f64 (*.f64 t t))) a)
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z (+.f64 y x))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) t)
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (-.f64 (/.f64 t a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64)))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(*.f64 t (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 z) t) (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)))))
(*.f64 t (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) (+.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) a) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))))))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 y)))
Outputs
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Calls

3 calls:

16.0ms
t
16.0ms
(-.f64 a #s(literal 1/2 binary64))
14.0ms
a
Results
AccuracySegmentsBranch
86.7%2t
84.4%3a
84.1%3(-.f64 a #s(literal 1/2 binary64))
Compiler

Compiled 20 to 17 computations (15% saved)

regimes17.0ms (0.1%)

Counts
42 → 2
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
(log.f64 y)
(log.f64 (+.f64 y x))
(*.f64 (log.f64 t) a)
(+.f64 (/.f64 y x) (log.f64 x))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 (log.f64 (/.f64 t (*.f64 t t)))) a)
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 y) (*.f64 (log.f64 t) a))
(+.f64 (log.f64 z) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 x))
(+.f64 (log.f64 z) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 z)) t)
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 #s(literal 0 binary64) t))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (log.f64 (+.f64 y x)) a)))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 z)) t)
(*.f64 (-.f64 (log.f64 (*.f64 t (*.f64 t t))) (log.f64 (*.f64 t t))) a)
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z (+.f64 y x))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) t)
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (-.f64 (/.f64 t a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64)))))
Outputs
(-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) t)
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Calls

1 calls:

12.0ms
t
Results
AccuracySegmentsBranch
86.6%2t
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes45.0ms (0.3%)

Counts
38 → 2
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
(log.f64 y)
(log.f64 (+.f64 y x))
(*.f64 (log.f64 t) a)
(+.f64 (/.f64 y x) (log.f64 x))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 (log.f64 (/.f64 t (*.f64 t t)))) a)
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 y) (*.f64 (log.f64 t) a))
(+.f64 (log.f64 z) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 x))
(+.f64 (log.f64 z) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 z)) t)
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 #s(literal 0 binary64) t))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (log.f64 (+.f64 y x)) a)))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 z)) t)
(*.f64 (-.f64 (log.f64 (*.f64 t (*.f64 t t))) (log.f64 (*.f64 t t))) a)
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z (+.f64 y x))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Outputs
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z (+.f64 y x))))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))
Calls

3 calls:

20.0ms
(log.f64 z)
11.0ms
z
11.0ms
t
Results
AccuracySegmentsBranch
77.6%1z
77.6%1(log.f64 z)
85.9%2t
Compiler

Compiled 19 to 16 computations (15.8% saved)

regimes16.0ms (0.1%)

Counts
36 → 2
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
(log.f64 y)
(log.f64 (+.f64 y x))
(*.f64 (log.f64 t) a)
(+.f64 (/.f64 y x) (log.f64 x))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 (log.f64 (/.f64 t (*.f64 t t)))) a)
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 y) (*.f64 (log.f64 t) a))
(+.f64 (log.f64 z) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 x))
(+.f64 (log.f64 z) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 z)) t)
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 #s(literal 0 binary64) t))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (log.f64 (+.f64 y x)) a)))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 z)) t)
(*.f64 (-.f64 (log.f64 (*.f64 t (*.f64 t t))) (log.f64 (*.f64 t t))) a)
Outputs
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y)))
(+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))
Calls

1 calls:

13.0ms
t
Results
AccuracySegmentsBranch
85.7%2t
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes14.0ms (0.1%)

Counts
33 → 2
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
(log.f64 y)
(log.f64 (+.f64 y x))
(*.f64 (log.f64 t) a)
(+.f64 (/.f64 y x) (log.f64 x))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 (log.f64 (/.f64 t (*.f64 t t)))) a)
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 y) (*.f64 (log.f64 t) a))
(+.f64 (log.f64 z) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 x))
(+.f64 (log.f64 z) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 z)) t)
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 #s(literal 0 binary64) t))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (log.f64 (+.f64 y x)) a)))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y)))
Outputs
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y)))
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Calls

1 calls:

11.0ms
t
Results
AccuracySegmentsBranch
85.7%2t
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes133.0ms (0.8%)

Counts
32 → 1
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
(log.f64 y)
(log.f64 (+.f64 y x))
(*.f64 (log.f64 t) a)
(+.f64 (/.f64 y x) (log.f64 x))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 (log.f64 (/.f64 t (*.f64 t t)))) a)
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 y) (*.f64 (log.f64 t) a))
(+.f64 (log.f64 z) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 x))
(+.f64 (log.f64 z) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 z)) t)
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 #s(literal 0 binary64) t))
(*.f64 a (+.f64 (log.f64 t) (/.f64 (log.f64 (+.f64 y x)) a)))
Outputs
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Calls

9 calls:

49.0ms
(+.f64 x y)
12.0ms
y
11.0ms
(log.f64 z)
10.0ms
(-.f64 a #s(literal 1/2 binary64))
10.0ms
t
Results
AccuracySegmentsBranch
77.2%1z
77.2%1(log.f64 z)
77.2%1x
77.2%1(-.f64 a #s(literal 1/2 binary64))
77.2%1a
77.2%1y
77.2%1(log.f64 (+.f64 x y))
77.2%1(+.f64 x y)
77.2%1t
Compiler

Compiled 62 to 51 computations (17.7% saved)

regimes57.0ms (0.3%)

Counts
22 → 3
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
(log.f64 y)
(log.f64 (+.f64 y x))
(*.f64 (log.f64 t) a)
(+.f64 (/.f64 y x) (log.f64 x))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 (log.f64 (/.f64 t (*.f64 t t)))) a)
Outputs
(*.f64 (log.f64 t) a)
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(*.f64 (log.f64 t) a)
Calls

7 calls:

10.0ms
t
8.0ms
z
8.0ms
x
7.0ms
y
7.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
67.8%3a
44.4%2x
49.4%4y
61.2%2t
49.4%4(log.f64 (+.f64 x y))
49.4%4(+.f64 x y)
42.5%2z
Compiler

Compiled 47 to 38 computations (19.1% saved)

regimes9.0ms (0.1%)

Counts
20 → 3
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
(log.f64 y)
(log.f64 (+.f64 y x))
(*.f64 (log.f64 t) a)
(+.f64 (/.f64 y x) (log.f64 x))
Outputs
(*.f64 (log.f64 t) a)
(neg.f64 t)
(*.f64 (log.f64 t) a)
Calls

1 calls:

7.0ms
a
Results
AccuracySegmentsBranch
64.3%3a
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes32.0ms (0.2%)

Counts
18 → 2
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
(log.f64 y)
(log.f64 (+.f64 y x))
Outputs
(log.f64 (+.f64 y x))
(neg.f64 t)
Calls

5 calls:

7.0ms
y
6.0ms
x
6.0ms
t
6.0ms
a
6.0ms
z
Results
AccuracySegmentsBranch
36.8%1z
36.8%1x
36.8%1y
40.5%2t
36.8%1a
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes7.0ms (0%)

Counts
17 → 2
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
(log.f64 y)
Outputs
(log.f64 y)
(neg.f64 t)
Calls

1 calls:

6.0ms
t
Results
AccuracySegmentsBranch
40.5%2t
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes38.0ms (0.2%)

Counts
16 → 1
Calls
Call 1
Inputs
t
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(/.f64 (*.f64 t t) t)
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 t t))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
(log.f64 x)
Outputs
(neg.f64 t)
Calls

2 calls:

31.0ms
t
5.0ms
a
Results
AccuracySegmentsBranch
36.8%1a
36.8%1t
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes7.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
t
Outputs
t
Calls

5 calls:

1.0ms
y
1.0ms
a
1.0ms
z
1.0ms
t
1.0ms
x
Results
AccuracySegmentsBranch
2.6%1y
2.6%1t
2.6%1x
2.6%1z
2.6%1a
Compiler

Compiled 30 to 25 computations (16.7% saved)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
0.7838477704866627
2.728293484428594
Results
15.0ms80×0valid
Compiler

Compiled 204 to 157 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-log: 8.0ms (71.2% of total)
ival-sub: 1.0ms (8.9% of total)
ival-add: 1.0ms (8.9% of total)
ival-mult: 1.0ms (8.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.29378899825973026
92418141565.68648
0.0ms
-41209776.04718426
-10800.44800194768
Compiler

Compiled 29 to 22 computations (24.1% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
49184121833580230.0
9.65130764307961e+18
Results
13.0ms112×0valid
Compiler

Compiled 288 to 218 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-log: 4.0ms (50% of total)
ival-add: 2.0ms (25% of total)
ival-sub: 1.0ms (12.5% of total)
ival-mult: 1.0ms (12.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
49184121833580230.0
9.65130764307961e+18
Results
15.0ms112×0valid
Compiler

Compiled 274 to 211 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-log: 4.0ms (50.1% of total)
ival-add: 2.0ms (25.1% of total)
ival-sub: 1.0ms (12.5% of total)
ival-mult: 1.0ms (12.5% 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
0.7838477704866627
2.728293484428594
Results
10.0ms80×0valid
Compiler

Compiled 209 to 157 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-log: 3.0ms (53.1% of total)
ival-sub: 1.0ms (17.7% of total)
ival-add: 1.0ms (17.7% of total)
ival-mult: 1.0ms (17.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.7838477704866627
2.728293484428594
Results
9.0ms80×0valid
Compiler

Compiled 199 to 152 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-log: 3.0ms (52.1% of total)
ival-sub: 1.0ms (17.4% of total)
ival-add: 1.0ms (17.4% of total)
ival-mult: 1.0ms (17.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.7838477704866627
2.728293484428594
Results
10.0ms80×0valid
Compiler

Compiled 194 to 152 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-log: 3.0ms (52.4% of total)
ival-sub: 1.0ms (17.5% of total)
ival-add: 1.0ms (17.5% of total)
ival-mult: 1.0ms (17.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
422715926644813.4
5034140582437972000.0
18.0ms
-2.692177674262263e+34
-2.173256132950575e+32
Results
31.0ms240×0valid
Compiler

Compiled 389 to 307 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 10.0ms (50.2% of total)
ival-add: 4.0ms (20.1% of total)
ival-mult: 3.0ms (15.1% of total)
ival-sub: 2.0ms (10% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
422715926644813.4
5034140582437972000.0
19.0ms
-2.692177674262263e+34
-2.173256132950575e+32
Results
32.0ms240×0valid
Compiler

Compiled 299 to 247 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-log: 9.0ms (43.6% of total)
ival-add: 5.0ms (24.2% of total)
ival-mult: 4.0ms (19.4% of total)
ival-sub: 2.0ms (9.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
0.06195439382608389
0.7838477704866627
Results
13.0ms96×0valid
Compiler

Compiled 137 to 112 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-log: 3.0ms (36.8% of total)
ival-add: 2.0ms (24.5% of total)
ival-mult: 2.0ms (24.5% of total)
ival-sub: 1.0ms (12.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
0.06195439382608389
0.7838477704866627
Results
13.0ms96×0valid
Compiler

Compiled 125 to 106 computations (15.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log: 6.0ms (67.2% of total)
ival-add: 2.0ms (22.4% of total)
ival-sub: 1.0ms (11.2% of total)
ival-mult: 1.0ms (11.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify36.0ms (0.2%)

Algorithm
egg-herbie
Rules
214×unsub-neg_binary64
136×distribute-lft-neg-in_binary64
124×cancel-sign-sub_binary64
116×neg-mul-1_binary64
90×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093338
1152328
2185328
3202328
4228328
5256328
6279328
7316328
8425328
9575328
10603328
11638328
12674328
13702328
14725328
15728328
16740328
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 z) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(+.f64 (log.f64 y) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(if (<=.f64 t #s(literal 3039929748475085/1125899906842624 binary64)) (+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y))) (+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a)))
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -40000000 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -3602879701896397/18014398509481984 binary64)) (+.f64 (log.f64 y) (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))) (+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))))
(if (<=.f64 t #s(literal 50000000000000000 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))
(if (<=.f64 t #s(literal 50000000000000000 binary64)) (-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) t) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))
(if (<=.f64 t #s(literal 3602879701896397/4503599627370496 binary64)) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a)))
(if (<=.f64 t #s(literal 3602879701896397/4503599627370496 binary64)) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) (+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a)))
(if (<=.f64 t #s(literal 2589569785738035/1125899906842624 binary64)) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(if (<=.f64 a #s(literal -299999999999999998084088103698432 binary64)) (*.f64 (log.f64 t) a) (if (<=.f64 a #s(literal 60000000000000000 binary64)) (+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a)))
(if (<=.f64 a #s(literal -10199999999999999790743807449890816 binary64)) (*.f64 (log.f64 t) a) (if (<=.f64 a #s(literal 12200000000000000 binary64)) (neg.f64 t) (*.f64 (log.f64 t) a)))
(if (<=.f64 t #s(literal 3422735716801577/4503599627370496 binary64)) (log.f64 (+.f64 y x)) (neg.f64 t))
(if (<=.f64 t #s(literal 3422735716801577/4503599627370496 binary64)) (log.f64 y) (neg.f64 t))
(neg.f64 t)
t
Outputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) t)))
(+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 z) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(+.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 y) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))
(+.f64 (log.f64 y) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) t)) (log.f64 y))
(if (<=.f64 t #s(literal 3039929748475085/1125899906842624 binary64)) (+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y))) (+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a)))
(if (<=.f64 t #s(literal 3039929748475085/1125899906842624 binary64)) (+.f64 (log.f64 z) (+.f64 (log.f64 y) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) (+.f64 (-.f64 (log.f64 z) t) (*.f64 a (log.f64 t))))
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -40000000 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -3602879701896397/18014398509481984 binary64)) (+.f64 (log.f64 y) (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))) (+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a))))
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -40000000 binary64)) (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) t) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -3602879701896397/18014398509481984 binary64)) (+.f64 (log.f64 y) (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t))) (+.f64 (-.f64 (log.f64 z) t) (*.f64 a (log.f64 t)))))
(if (<=.f64 t #s(literal 50000000000000000 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))
(if (<=.f64 t #s(literal 50000000000000000 binary64)) (-.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) t) (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) t))
(if (<=.f64 t #s(literal 50000000000000000 binary64)) (-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) t) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))
(if (<=.f64 t #s(literal 50000000000000000 binary64)) (-.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 y z))) t) (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) t))
(if (<=.f64 t #s(literal 3602879701896397/4503599627370496 binary64)) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a)))
(if (<=.f64 t #s(literal 3602879701896397/4503599627370496 binary64)) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 (+.f64 x y) z))) (+.f64 (-.f64 (log.f64 z) t) (*.f64 a (log.f64 t))))
(if (<=.f64 t #s(literal 3602879701896397/4503599627370496 binary64)) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) (+.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a)))
(if (<=.f64 t #s(literal 3602879701896397/4503599627370496 binary64)) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 y z))) (+.f64 (-.f64 (log.f64 z) t) (*.f64 a (log.f64 t))))
(if (<=.f64 t #s(literal 2589569785738035/1125899906842624 binary64)) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z y))) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))
(if (<=.f64 t #s(literal 2589569785738035/1125899906842624 binary64)) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 y z))) (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) t))
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) t)
(if (<=.f64 a #s(literal -299999999999999998084088103698432 binary64)) (*.f64 (log.f64 t) a) (if (<=.f64 a #s(literal 60000000000000000 binary64)) (+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a)))
(if (<=.f64 a #s(literal -299999999999999998084088103698432 binary64)) (*.f64 a (log.f64 t)) (if (<=.f64 a #s(literal 60000000000000000 binary64)) (-.f64 (log.f64 (+.f64 x y)) t) (*.f64 a (log.f64 t))))
(if (<=.f64 a #s(literal -10199999999999999790743807449890816 binary64)) (*.f64 (log.f64 t) a) (if (<=.f64 a #s(literal 12200000000000000 binary64)) (neg.f64 t) (*.f64 (log.f64 t) a)))
(if (<=.f64 a #s(literal -10199999999999999790743807449890816 binary64)) (*.f64 a (log.f64 t)) (if (<=.f64 a #s(literal 12200000000000000 binary64)) (-.f64 #s(literal 0 binary64) t) (*.f64 a (log.f64 t))))
(if (<=.f64 t #s(literal 3422735716801577/4503599627370496 binary64)) (log.f64 (+.f64 y x)) (neg.f64 t))
(if (<=.f64 t #s(literal 3422735716801577/4503599627370496 binary64)) (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(if (<=.f64 t #s(literal 3422735716801577/4503599627370496 binary64)) (log.f64 y) (neg.f64 t))
(if (<=.f64 t #s(literal 3422735716801577/4503599627370496 binary64)) (log.f64 y) (-.f64 #s(literal 0 binary64) t))
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
t

soundness4.0s (23.8%)

Rules
5708×+-lowering-+.f64
5708×+-lowering-+.f32
4920×+-lowering-+.f64
4920×+-lowering-+.f32
4306×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01516
12815
27515
325315
477414
5405014
6663414
7744814
8776714
9778914
10778914
0926014
038136
1264123
22728119
09226119
04716051
115175487
250645381
084875381
06929210
122778290
084468290
02076
114573
2156073
0839073
031120
1212116
22138111
09092111
04835226
115944710
266884610
080994610
05546630
117995945
267555841
084365841
035169
1253160
22572159
08246159
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1401 to 881 computations (37.1% saved)

preprocess170.0ms (1%)

Remove

(sort x y)

Compiler

Compiled 1064 to 440 computations (58.6% saved)

end0.0ms (0%)

Profiling

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