Numeric.SpecFunctions:logGammaL from math-functions-0.1.5.2

Time bar (total: 14.7s)

analyze115.0ms (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: 21.0ms (47.4% of total)
ival-add: 10.0ms (22.6% of total)
ival-mult: 7.0ms (15.8% of total)
ival-sub: 6.0ms (13.5% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

sample2.0s (13.9%)

Results
1.3s8256×0valid
249.0ms2096×0invalid
Precisions
Click to see histograms. Total time spent on operations: 969.0ms
ival-log: 456.0ms (47.1% of total)
ival-add: 215.0ms (22.2% of total)
ival-mult: 141.0ms (14.6% of total)
ival-sub: 136.0ms (14% of total)
const: 15.0ms (1.5% of total)
backward-pass: 5.0ms (0.5% of total)
Bogosity

preprocess317.0ms (2.2%)

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)

explain257.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-2(-2.4107119725724484e-110 1.0553145862776549e+214 6.048709452610821e-219 4.574800843144645e-167 1.7742436248932725e+53)(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
00-0-x
00-0-(-.f64 a #s(literal 1/2 binary64))
00-0-#s(literal 1/2 binary64)
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
173.0ms512×0valid
Compiler

Compiled 149 to 47 computations (68.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-log: 43.0ms (66.7% of total)
ival-add: 11.0ms (17.1% of total)
ival-sub: 6.0ms (9.3% of total)
ival-mult: 4.0ms (6.2% of total)
const: 1.0ms (1.6% 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
99.6%
(+.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)

simplify140.0ms (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)

localize145.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 (+.f64 x y))
accuracy99.8%
(+.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))
accuracy99.1%
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
accuracy100.0%
(log.f64 (+.f64 x y))
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))
accuracy99.8%
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
Results
106.0ms256×0valid
Compiler

Compiled 125 to 21 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-log: 9.0ms (32.9% of total)
ival-add: 8.0ms (29.3% of total)
ival-sub: 6.0ms (22% of total)
ival-mult: 3.0ms (11% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series194.0ms (1.3%)

Counts
9 → 336
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 (* (- 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 (* -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

84 calls:

TimeVariablePointExpression
84.0ms
z
@0
(+ (log (+ x y)) (- (log z) (+ t (* (log t) (- 1/2 a)))))
41.0ms
z
@-inf
(+ (log (+ x y)) (- (log z) (+ t (* (log t) (- 1/2 a)))))
19.0ms
t
@-inf
(* (log t) (- 1/2 a))
7.0ms
z
@inf
(+ (log (+ x y)) (- (log z) (+ t (* (log t) (- 1/2 a)))))
6.0ms
t
@inf
(* (log t) (- 1/2 a))

rewrite579.0ms (3.9%)

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
02074
114571
2156071
0839071
Stop Event
iter limit
node limit
Counts
9 → 492
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))
(* (- 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)))))))
(/.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 (-.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))))))))
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(/.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))

simplify467.0ms (3.2%)

Algorithm
egg-herbie
Rules
4614×+-lowering-+.f64
4614×+-lowering-+.f32
1648×fnmadd-define
1550×*-lowering-*.f32
1550×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04825194
115924685
267014565
080164565
Stop Event
iter limit
node limit
Counts
336 → 336
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
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x
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x
(* -1 (* x (- (* -1 (/ y x)) 1)))
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x
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y
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y
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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 (+ 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)))))
(* -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 (+.f64 (log.f64 z) (/.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) (log.f64 y)) (-.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (+.f64 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 (+.f64 (log.f64 z) (/.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 (log.f64 z) (+.f64 (*.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 (+.f64 (log.f64 z) (log.f64 x)) (+.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 #s(literal -1 binary64)) (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.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 (log.f64 #s(literal -1 binary64)) (+.f64 (-.f64 (/.f64 y x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (-.f64 (log.f64 z) 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 (*.f64 #s(literal 1/2 binary64) (*.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 #s(literal 0 binary64) y) (/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))) x)) 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 (+.f64 (log.f64 z) (/.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 (log.f64 z) (+.f64 (*.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 (+.f64 (log.f64 z) (log.f64 x)) (-.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 (+.f64 (log.f64 z) (/.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) (log.f64 y)) (-.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (+.f64 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 (log.f64 z) (+.f64 (+.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y 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 (-.f64 (log.f64 y) 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 #s(literal -1 binary64)) (-.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))) (/ x y)))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (-.f64 (/.f64 x 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 -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) (+ t (* (log t) (- 1/2 a))))
(+.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 (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))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) (+ t (* (log t) (- 1/2 a))))
(+.f64 (-.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y))) y)) y)) (-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 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))))
(+.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 z) (log (+ x y))) (* (log t) (- 1/2 a)))
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(- (+ (log z) (+ (log (+ x y)) (* -1 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)) (* -1 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)) (* -1 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))))
(* -1 t)
(-.f64 #s(literal 0 binary64) t)
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
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(*.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))
(* -1/2 (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 a (*.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) #s(literal -1 binary64)))
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(*.f64 a (*.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) #s(literal -1 binary64)))
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(*.f64 a (*.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) #s(literal -1 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)))
(* (log t) (- a 1/2))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (log.f64 t)))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (log.f64 t)))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (log.f64 t)))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (log.f64 t)))
(* (+ (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)))

eval128.0ms (0.9%)

Compiler

Compiled 37286 to 2442 computations (93.5% saved)

prune166.0ms (1.1%)

Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New88823911
Fresh000
Picked202
Done000
Total89023913
Accuracy
99.9%
Counts
913 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.8%
(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)))) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
95.4%
(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 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))))
73.6%
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
52.1%
(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 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))))
45.4%
(/.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))))))
44.1%
(/.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)))
48.9%
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)) (*.f64 (log.f64 (/.f64 z (+.f64 x y))) (-.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (*.f64 t t)))) (*.f64 (log.f64 (/.f64 z (+.f64 x y))) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))
45.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)))) (*.f64 (/.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t))) (+.f64 #s(literal 1/2 binary64) a)))
73.5%
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
38.9%
(-.f64 #s(literal 0 binary64) t)
78.5%
(+.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)))
76.2%
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
99.2%
(+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
61.3%
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
68.9%
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a)))))))
42.6%
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
84.9%
(+.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)))
39.1%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
88.5%
(+.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) (log.f64 t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
61.4%
(+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))
35.9%
(*.f64 (log.f64 t) a)
88.5%
(*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
84.9%
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (-.f64 (+.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (/.f64 t a)) (log.f64 t)))))
Compiler

Compiled 1358 to 820 computations (39.6% saved)

simplify175.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (*.f64 (+.f64 x y) z))
cost-diff0
(pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t))
cost-diff19904
(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)))) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
cost-diff128
(*.f64 (*.f64 #s(literal 1 binary64) (log.f64 t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))
cost-diff128
(-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))
cost-diff512
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
cost-diff512
(+.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) (log.f64 t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
cost-diff0
(*.f64 (+.f64 x y) z)
cost-diff0
(log.f64 (*.f64 (+.f64 x y) z))
cost-diff0
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))
cost-diff0
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
cost-diff0
(-.f64 #s(literal 0 binary64) t)
cost-diff0
(/.f64 (log.f64 (+.f64 y x)) t)
cost-diff0
(+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))
cost-diff384
(*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))))
cost-diff384
(+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Rules
2268×*-lowering-*.f32
2268×*-lowering-*.f64
1914×fnmadd-define
1822×+-lowering-+.f64
1822×+-lowering-+.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
047341
1119333
2356330
31169320
44326307
08504307
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* t (+ (/ (log (+ y x)) t) (+ (/ (log z) t) -1))) (* (- a 1/2) (log t)))
(* t (+ (/ (log (+ y x)) t) (+ (/ (log z) t) -1)))
t
(+ (/ (log (+ y x)) t) (+ (/ (log z) t) -1))
(/ (log (+ y x)) t)
(log (+ y x))
(+ y x)
y
x
(+ (/ (log z) t) -1)
(/ (log z) t)
(log z)
z
-1
(* (- a 1/2) (log t))
(- a 1/2)
a
1/2
(log t)
(- 0 t)
0
t
(- (- (log (* (+ x y) z)) (* (log t) (- 1/2 a))) t)
(- (log (* (+ x y) z)) (* (log t) (- 1/2 a)))
(log (* (+ x y) z))
(* (+ x y) z)
(+ x y)
x
y
z
(* (log t) (- 1/2 a))
(log t)
t
(- 1/2 a)
1/2
a
(+ (log (+ x y)) (* t (- (+ (/ (log z) t) -1) (* (* 1 (log t)) (/ (- 1/2 a) t)))))
(log (+ x y))
(+ x y)
x
y
(* t (- (+ (/ (log z) t) -1) (* (* 1 (log t)) (/ (- 1/2 a) t))))
t
(- (+ (/ (log z) t) -1) (* (* 1 (log t)) (/ (- 1/2 a) t)))
(+ (/ (log z) t) -1)
(/ (log z) t)
(log z)
z
-1
(* (* 1 (log t)) (/ (- 1/2 a) t))
(* 1 (log t))
1
(log t)
(/ (- 1/2 a) t)
(- 1/2 a)
1/2
a
(+ (* (- (pow (log (* (+ x y) z)) 2) (* t t)) (/ 1 (+ t (log (* (+ x y) z))))) (* (log t) (+ a -1/2)))
(- (pow (log (* (+ x y) z)) 2) (* t t))
(pow (log (* (+ x y) z)) 2)
(log (* (+ x y) z))
(* (+ x y) z)
(+ x y)
x
y
z
2
(* t t)
t
(/ 1 (+ t (log (* (+ x y) z))))
1
(+ t (log (* (+ x y) z)))
(* (log t) (+ a -1/2))
(log t)
(+ a -1/2)
a
-1/2
Outputs
(+ (* t (+ (/ (log (+ y x)) t) (+ (/ (log z) t) -1))) (* (- a 1/2) (log t)))
(+.f64 (+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
(* t (+ (/ (log (+ y x)) t) (+ (/ (log z) t) -1)))
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t))
t
(+ (/ (log (+ y x)) t) (+ (/ (log z) t) -1))
(+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))
(/ (log (+ y x)) t)
(/.f64 (log.f64 (+.f64 y x)) t)
(log (+ y x))
(log.f64 (+.f64 y x))
(+ y x)
(+.f64 y x)
y
x
(+ (/ (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)
(* (- 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) z)) (* (log t) (- 1/2 a))) t)
(+.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) t))
(- (log (* (+ x y) z)) (* (log t) (- 1/2 a)))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z (+.f64 y x))))
(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 t) (- 1/2 a))
(*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))
(log t)
(log.f64 t)
t
(- 1/2 a)
(-.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(+ (log (+ x y)) (* t (- (+ (/ (log z) t) -1) (* (* 1 (log t)) (/ (- 1/2 a) t)))))
(+.f64 (+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
(log (+ x y))
(log.f64 (+.f64 y x))
(+ x y)
(+.f64 y x)
x
y
(* t (- (+ (/ (log z) t) -1) (* (* 1 (log t)) (/ (- 1/2 a) t))))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 z) t))
t
(- (+ (/ (log z) t) -1) (* (* 1 (log t)) (/ (- 1/2 a) t)))
(+.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (/.f64 (+.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)
(* (* 1 (log t)) (/ (- 1/2 a) t))
(*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))
(* 1 (log t))
(log.f64 t)
1
#s(literal 1 binary64)
(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
(+ (* (- (pow (log (* (+ x y) z)) 2) (* t t)) (/ 1 (+ t (log (* (+ x y) z))))) (* (log t) (+ a -1/2)))
(+.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) t))
(- (pow (log (* (+ x y) z)) 2) (* t t))
(-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t))
(pow (log (* (+ x y) z)) 2)
(pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))
(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
2
#s(literal 2 binary64)
(* t t)
(*.f64 t t)
t
(/ 1 (+ t (log (* (+ x y) z))))
(/.f64 #s(literal 1 binary64) (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))))
1
#s(literal 1 binary64)
(+ t (log (* (+ x y) z)))
(+.f64 t (log.f64 (*.f64 z (+.f64 y x))))
(* (log t) (+ a -1/2))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))
(log t)
(log.f64 t)
(+ a -1/2)
(+.f64 a #s(literal -1/2 binary64))
a
-1/2
#s(literal -1/2 binary64)

localize292.0ms (2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))))
accuracy99.2%
(pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))
accuracy77.5%
(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)))) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
accuracy73.8%
(log.f64 (*.f64 (+.f64 x y) z))
accuracy99.8%
(+.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) (log.f64 t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
accuracy99.6%
(/.f64 (log.f64 z) t)
accuracy99.5%
(*.f64 (*.f64 #s(literal 1 binary64) (log.f64 t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))
accuracy88.7%
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))
accuracy100.0%
(*.f64 (+.f64 x y) z)
accuracy99.8%
(*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))
accuracy99.7%
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))
accuracy73.8%
(log.f64 (*.f64 (+.f64 x y) z))
accuracy100.0%
(-.f64 #s(literal 0 binary64) t)
accuracy99.6%
(+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))
accuracy99.6%
(/.f64 (log.f64 z) t)
accuracy99.6%
(/.f64 (log.f64 (+.f64 y x)) t)
accuracy99.4%
(*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))))
Results
206.0ms256×0valid
Compiler

Compiled 377 to 47 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 20.0ms (26.4% of total)
ival-log: 16.0ms (21.1% of total)
ival-div: 13.0ms (17.1% of total)
ival-add: 12.0ms (15.8% of total)
ival-sub: 9.0ms (11.9% of total)
compiled-spec: 3.0ms (4% of total)
ival-pow: 3.0ms (4% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series260.0ms (1.8%)

Counts
19 → 792
Calls
Call 1
Inputs
#<alt (+ (* t (+ (/ (log (+ y x)) t) (+ (/ (log z) t) -1))) (* (- a 1/2) (log t)))>
#<alt (* t (+ (/ (log (+ y x)) t) (+ (/ (log z) t) -1)))>
#<alt (+ (/ (log (+ y x)) t) (+ (/ (log z) t) -1))>
#<alt (/ (log (+ y x)) t)>
#<alt (- 0 t)>
#<alt (- (- (log (* (+ x y) z)) (* (log t) (- 1/2 a))) t)>
#<alt (- (log (* (+ x y) z)) (* (log t) (- 1/2 a)))>
#<alt (log (* (+ x y) z))>
#<alt (* (+ x y) z)>
#<alt (+ (log (+ x y)) (* t (- (+ (/ (log z) t) -1) (* (* 1 (log t)) (/ (- 1/2 a) t)))))>
#<alt (* t (- (+ (/ (log z) t) -1) (* (* 1 (log t)) (/ (- 1/2 a) t))))>
#<alt (- (+ (/ (log z) t) -1) (* (* 1 (log t)) (/ (- 1/2 a) t)))>
#<alt (* (* 1 (log t)) (/ (- 1/2 a) t))>
#<alt (+ (* (- (pow (log (* (+ x y) z)) 2) (* t t)) (/ 1 (+ t (log (* (+ x y) z))))) (* (log t) (+ a -1/2)))>
#<alt (- (pow (log (* (+ x y) z)) 2) (* t t))>
#<alt (pow (log (* (+ x y) z)) 2)>
#<alt (/ (log z) t)>
#<alt (* (log t) (- 1/2 a))>
#<alt (/ 1 (+ t (log (* (+ x y) z))))>
Outputs
#<alt (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2))))>
#<alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))>
#<alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))>
#<alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))>
#<alt (* -1 t)>
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))>
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))>
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))>
#<alt (* -1 t)>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (log z)) (* -1 (log (+ x y))))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (log z)) (* -1 (log (+ x y))))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (log z)) (* -1 (log (+ x y))))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))>
#<alt (+ (* t (- (+ (/ (log x) t) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (/ (log x) t) (/ (log z) t)) 1)) (+ (* (log t) (- a 1/2)) (/ y x)))>
#<alt (+ (* t (- (+ (/ (log x) t) (/ (log z) t)) 1)) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2))))>
#<alt (+ (* t (- (+ (/ (log x) t) (/ (log z) t)) 1)) (+ (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (* (log t) (- a 1/2))))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (+ (* (log t) (- a 1/2)) (/ x y)))>
#<alt (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (+ (* (log t) (- a 1/2)) (/ x y))))>
#<alt (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (+ (* (log t) (- a 1/2)) (/ x y)))))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (+ (* (log t) (- a 1/2)) (/ x y)))>
#<alt (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (+ (* (log t) (- a 1/2)) (/ x y)))>
#<alt (+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))>
#<alt (+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1)) (+ (* (log t) (- a 1/2)) (/ y x)))>
#<alt (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* t (- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1)) (+ (* (log t) (- a 1/2)) (/ y x))))>
#<alt (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* t (- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1)) (+ (* (log t) (- a 1/2)) (/ y x)))))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (+ (* (log t) (- a 1/2)) (/ y x)))>
#<alt (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (+ (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (+ (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log (+ x y)) t))) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log (+ x y)) t))) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log (+ x y)) t))) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log (+ x y)) t))) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* -1/2 (log t)) (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)))>
#<alt (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))))>
#<alt (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))))>
#<alt (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))))>
#<alt (* a (log t))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) a))))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) a))))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) a))))>
#<alt (* a (log t))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))) a)))))>
#<alt (+ (log z) (log (+ x y)))>
#<alt (+ (log z) (+ (log (+ x y)) (* -1 t)))>
#<alt (+ (log z) (+ (log (+ x y)) (* -1 t)))>
#<alt (+ (log z) (+ (log (+ x y)) (* -1 t)))>
#<alt (* -1 t)>
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))>
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))>
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))>
#<alt (* -1 t)>
#<alt (* -1 (* t (+ 1 (+ (* -1 (/ (log z) t)) (* -1 (/ (log (+ x y)) t))))))>
#<alt (* -1 (* t (+ 1 (+ (* -1 (/ (log z) t)) (* -1 (/ (log (+ x y)) t))))))>
#<alt (* -1 (* t (+ 1 (+ (* -1 (/ (log z) t)) (* -1 (/ (log (+ x y)) t))))))>
#<alt (* t (- (+ (/ (log x) t) (/ (log z) t)) 1))>
#<alt (+ (* t (- (+ (/ (log x) t) (/ (log z) t)) 1)) (/ y x))>
#<alt (+ (* t (- (+ (/ (log x) t) (/ (log z) t)) 1)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))>
#<alt (+ (* t (- (+ (/ (log x) t) (/ (log z) t)) 1)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))>
#<alt (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (/ x y))>
#<alt (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (/ x y)))>
#<alt (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (/ x y))))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (/ x y))>
#<alt (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)))>
#<alt (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)))>
#<alt (* t (- (+ (/ (log y) t) (/ (log z) t)) 1))>
#<alt (+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (/ x y))>
#<alt (+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))>
#<alt (+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))>
#<alt (* t (- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1)) (/ y x))>
#<alt (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* t (- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1)) (/ y x)))>
#<alt (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* t (- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1)) (/ y x))))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (/ y x))>
#<alt (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)))>
#<alt (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)))>
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))>
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))>
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))>
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))>
#<alt (* t (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1))>
#<alt (* t (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1))>
#<alt (* t (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1))>
#<alt (* t (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log (+ x y)) t))) 1))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log (+ x y)) t))) 1))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log (+ x y)) t))) 1))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log (+ x y)) t))) 1))>
#<alt (- (+ (/ (log x) t) (/ (log z) t)) 1)>
#<alt (- (+ (/ y (* t x)) (+ (/ (log x) t) (/ (log z) t))) 1)>
#<alt (- (+ (* y (+ (* -1/2 (/ y (* t (pow x 2)))) (/ 1 (* t x)))) (+ (/ (log x) t) (/ (log z) t))) 1)>
#<alt (- (+ (* y (+ (* y (- (* 1/3 (/ y (* t (pow x 3)))) (* 1/2 (/ 1 (* t (pow x 2)))))) (/ 1 (* t x)))) (+ (/ (log x) t) (/ (log z) t))) 1)>
#<alt (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)>
#<alt (- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ x (* t y)) (/ (log z) t))) 1)>
#<alt (- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (* -1/2 (/ (pow x 2) (* t (pow y 2)))) (+ (/ x (* t y)) (/ (log z) t)))) 1)>
#<alt (- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (* -1/2 (/ (pow x 2) (* t (pow y 2)))) (+ (* 1/3 (/ (pow x 3) (* t (pow y 3)))) (+ (/ x (* t y)) (/ (log z) t))))) 1)>
#<alt (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)>
#<alt (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ x (* t y)) (+ (/ (log -1) t) (/ (log z) t)))) 1)>
#<alt (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* -1 (/ x t)) (* 1/2 (/ (pow x 2) (* t y)))) y)) (+ (/ (log -1) t) (/ (log z) t)))) 1)>
#<alt (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* -1 (/ x t)) (* -1 (/ (+ (* -1/2 (/ (pow x 2) t)) (* 1/3 (/ (pow x 3) (* t y)))) y))) y)) (+ (/ (log -1) t) (/ (log z) t)))) 1)>
#<alt (- (+ (/ (log y) t) (/ (log z) t)) 1)>
#<alt (- (+ (/ x (* t y)) (+ (/ (log y) t) (/ (log z) t))) 1)>
#<alt (- (+ (* x (+ (* -1/2 (/ x (* t (pow y 2)))) (/ 1 (* t y)))) (+ (/ (log y) t) (/ (log z) t))) 1)>
#<alt (- (+ (* x (+ (* x (- (* 1/3 (/ x (* t (pow y 3)))) (* 1/2 (/ 1 (* t (pow y 2)))))) (/ 1 (* t y)))) (+ (/ (log y) t) (/ (log z) t))) 1)>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1)>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) t)) (+ (/ y (* t x)) (/ (log z) t))) 1)>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) t)) (+ (* -1/2 (/ (pow y 2) (* t (pow x 2)))) (+ (/ y (* t x)) (/ (log z) t)))) 1)>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) t)) (+ (* -1/2 (/ (pow y 2) (* t (pow x 2)))) (+ (* 1/3 (/ (pow y 3) (* t (pow x 3)))) (+ (/ y (* t x)) (/ (log z) t))))) 1)>
#<alt (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)>
#<alt (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ y (* t x)) (+ (/ (log -1) t) (/ (log z) t)))) 1)>
#<alt (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* 1/2 (/ (pow y 2) (* t x)))) x)) (+ (/ (log -1) t) (/ (log z) t)))) 1)>
#<alt (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) t)) (* 1/3 (/ (pow y 3) (* t x)))) x))) x)) (+ (/ (log -1) t) (/ (log z) t)))) 1)>
#<alt (/ (+ (log z) (log (+ x y))) t)>
#<alt (/ (+ (log z) (+ (log (+ x y)) (* -1 t))) t)>
#<alt (/ (+ (log z) (+ (log (+ x y)) (* -1 t))) t)>
#<alt (/ (+ (log z) (+ (log (+ x y)) (* -1 t))) t)>
#<alt -1>
#<alt (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)>
#<alt (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)>
#<alt (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)>
#<alt -1>
#<alt (- (* -1 (/ (+ (* -1 (log z)) (* -1 (log (+ x y)))) t)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (log z)) (* -1 (log (+ x y)))) t)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (log z)) (* -1 (log (+ x y)))) t)) 1)>
#<alt (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)>
#<alt (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)>
#<alt (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)>
#<alt (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)>
#<alt (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1)>
#<alt (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1)>
#<alt (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1)>
#<alt (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1)>
#<alt (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log (+ x y)) t))) 1)>
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#<alt (+ (* -1 (/ (* (pow x 2) (+ (log z) (* -1 (log (/ 1 y))))) (pow y 2))) (+ (* 2 (/ (* x (+ (log z) (* -1 (log (/ 1 y))))) y)) (+ (/ (pow x 2) (pow y 2)) (pow (+ (log z) (* -1 (log (/ 1 y)))) 2))))>
#<alt (+ (* -1 (/ (* (pow x 2) (+ (log z) (* -1 (log (/ 1 y))))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (* 2/3 (/ (* (pow x 3) (+ (log z) (* -1 (log (/ 1 y))))) (pow y 3))) (+ (* 2 (/ (* x (+ (log z) (* -1 (log (/ 1 y))))) y)) (+ (/ (pow x 2) (pow y 2)) (pow (+ (log z) (* -1 (log (/ 1 y)))) 2))))))>
#<alt (pow (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) 2)>
#<alt (+ (* 2 (/ (* x (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) y)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (* x (+ (log (* -1 z)) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (* (pow x 2) (+ (log (* -1 z)) (* -1 (log (/ -1 y)))))) (pow x 2)) y))) y)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (* x (+ (log (* -1 z)) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (* (pow x 2) (+ (log (* -1 z)) (* -1 (log (/ -1 y)))))) (+ (* -1 (/ (+ (* -2/3 (* (pow x 3) (+ (log (* -1 z)) (* -1 (log (/ -1 y)))))) (pow x 3)) y)) (pow x 2))) y))) y)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) 2))>
#<alt (pow (+ (log z) (log (+ x y))) 2)>
#<alt (pow (+ (log z) (log (+ x y))) 2)>
#<alt (pow (+ (log z) (log (+ x y))) 2)>
#<alt (pow (+ (log z) (log (+ x y))) 2)>
#<alt (pow (+ (log (+ x y)) (* -1 (log (/ 1 z)))) 2)>
#<alt (pow (+ (log (+ x y)) (* -1 (log (/ 1 z)))) 2)>
#<alt (pow (+ (log (+ x y)) (* -1 (log (/ 1 z)))) 2)>
#<alt (pow (+ (log (+ x y)) (* -1 (log (/ 1 z)))) 2)>
#<alt (pow (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) 2)>
#<alt (pow (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) 2)>
#<alt (pow (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) 2)>
#<alt (pow (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) 2)>
#<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 (* (log t) (- 1/2 a))>
#<alt (* (log t) (- 1/2 a))>
#<alt (* (log t) (- 1/2 a))>
#<alt (* (log t) (- 1/2 a))>
#<alt (* -1 (* (log (/ 1 t)) (- 1/2 a)))>
#<alt (* -1 (* (log (/ 1 t)) (- 1/2 a)))>
#<alt (* -1 (* (log (/ 1 t)) (- 1/2 a)))>
#<alt (* -1 (* (log (/ 1 t)) (- 1/2 a)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))>
#<alt (* 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))) (* 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 (/ 1 (log (* z (+ x y))))>
#<alt (+ (* -1 (/ t (pow (log (* z (+ x y))) 2))) (/ 1 (log (* z (+ x y)))))>
#<alt (+ (* t (- (/ t (pow (log (* z (+ x y))) 3)) (/ 1 (pow (log (* z (+ x y))) 2)))) (/ 1 (log (* z (+ x y)))))>
#<alt (+ (* t (- (* t (+ (* -1 (/ t (pow (log (* z (+ x y))) 4))) (/ 1 (pow (log (* z (+ x y))) 3)))) (/ 1 (pow (log (* z (+ x y))) 2)))) (/ 1 (log (* z (+ x y)))))>
#<alt (/ 1 t)>
#<alt (/ (+ 1 (* -1 (/ (log (* z (+ x y))) t))) t)>
#<alt (/ (- (+ 1 (/ (pow (log (* z (+ x y))) 2) (pow t 2))) (/ (log (* z (+ x y))) t)) t)>
#<alt (/ (- (+ 1 (* -1 (/ (pow (log (* z (+ x y))) 3) (pow t 3)))) (+ (* -1 (/ (pow (log (* z (+ x y))) 2) (pow t 2))) (/ (log (* z (+ x y))) t))) t)>
#<alt (/ 1 t)>
#<alt (* -1 (/ (- (/ (log (* z (+ x y))) t) 1) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (log (* z (+ x y))) 2) t) (log (* z (+ x y)))) t)) 1) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (log (* z (+ x y))) 3) t) (pow (log (* z (+ x y))) 2)) t)) (log (* z (+ x y)))) t)) 1) t))>
#<alt (/ 1 (+ t (log (* y z))))>
#<alt (+ (* -1 (/ x (* y (pow (+ t (log (* y z))) 2)))) (/ 1 (+ t (log (* y z)))))>
#<alt (+ (* x (- (* x (+ (* 1/2 (/ 1 (* (pow y 2) (pow (+ t (log (* y z))) 2)))) (/ 1 (* (pow y 2) (pow (+ t (log (* y z))) 3))))) (/ 1 (* y (pow (+ t (log (* y z))) 2))))) (/ 1 (+ t (log (* y z)))))>
#<alt (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/3 (/ 1 (* (pow y 3) (pow (+ t (log (* y z))) 2)))) (+ (/ 1 (* (pow y 3) (pow (+ t (log (* y z))) 3))) (/ 1 (* (pow y 3) (pow (+ t (log (* y z))) 4))))))) (+ (* 1/2 (/ 1 (* (pow y 2) (pow (+ t (log (* y z))) 2)))) (/ 1 (* (pow y 2) (pow (+ t (log (* y z))) 3)))))) (/ 1 (* y (pow (+ t (log (* y z))) 2))))) (/ 1 (+ t (log (* y z)))))>
#<alt (/ 1 (+ t (+ (log z) (* -1 (log (/ 1 x))))))>
#<alt (+ (* -1 (/ y (* x (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2)))) (/ 1 (+ t (+ (log z) (* -1 (log (/ 1 x)))))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (pow y 2) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 3))) (* -1/2 (/ (pow y 2) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2)))) (pow x 2))) (/ 1 (+ t (+ (log z) (* -1 (log (/ 1 x))))))) (/ y (* x (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (* y (+ (* -1 (/ (pow y 2) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 3))) (* -1/2 (/ (pow y 2) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2))))) (+ t (+ (log z) (* -1 (log (/ 1 x))))))) (+ (* 1/3 (/ (pow y 3) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2))) (* 1/2 (/ (pow y 3) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 3))))) (pow x 3))) (/ 1 (+ t (+ (log z) (* -1 (log (/ 1 x))))))) (+ (* -1 (/ (pow y 2) (* (pow x 2) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 3)))) (+ (* -1/2 (/ (pow y 2) (* (pow x 2) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2)))) (/ y (* x (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2))))))>
#<alt (/ 1 (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ y (* x (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 2)))) (/ 1 (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (pow y 2) (* x (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 3)))) (* -1/2 (/ (pow y 2) (* x (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 2))))) (* -1 (/ y (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 2)))) x)) (/ 1 (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow y 3) (* x (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 3)))) (+ (* -1/3 (/ (pow y 3) (* x (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 2)))) (/ (* y (+ (* -1 (/ (pow y 2) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 3))) (* -1/2 (/ (pow y 2) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 2))))) (* x (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))))) (+ (* -1 (/ (pow y 2) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 3))) (* -1/2 (/ (pow y 2) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 2))))) x)) (* -1 (/ y (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) 2)))) x)) (/ 1 (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))>
#<alt (/ 1 (+ t (log (* x z))))>
#<alt (+ (* -1 (/ y (* x (pow (+ t (log (* x z))) 2)))) (/ 1 (+ t (log (* x z)))))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 (* (pow x 2) (pow (+ t (log (* x z))) 2)))) (/ 1 (* (pow x 2) (pow (+ t (log (* x z))) 3))))) (/ 1 (* x (pow (+ t (log (* x z))) 2))))) (/ 1 (+ t (log (* x z)))))>
#<alt (+ (* y (- (* y (+ (* -1 (* y (+ (* 1/3 (/ 1 (* (pow x 3) (pow (+ t (log (* x z))) 2)))) (+ (/ 1 (* (pow x 3) (pow (+ t (log (* x z))) 3))) (/ 1 (* (pow x 3) (pow (+ t (log (* x z))) 4))))))) (+ (* 1/2 (/ 1 (* (pow x 2) (pow (+ t (log (* x z))) 2)))) (/ 1 (* (pow x 2) (pow (+ t (log (* x z))) 3)))))) (/ 1 (* x (pow (+ t (log (* x z))) 2))))) (/ 1 (+ t (log (* x z)))))>
#<alt (/ 1 (+ t (+ (log z) (* -1 (log (/ 1 y))))))>
#<alt (+ (* -1 (/ x (* y (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 2)))) (/ 1 (+ t (+ (log z) (* -1 (log (/ 1 y)))))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 3))) (* -1/2 (/ (pow x 2) (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 2)))) (pow y 2))) (/ 1 (+ t (+ (log z) (* -1 (log (/ 1 y))))))) (/ x (* y (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 3))) (* -1/2 (/ (pow x 2) (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 2))))) (+ t (+ (log z) (* -1 (log (/ 1 y))))))) (+ (* 1/3 (/ (pow x 3) (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 2))) (* 1/2 (/ (pow x 3) (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 3))))) (pow y 3))) (/ 1 (+ t (+ (log z) (* -1 (log (/ 1 y))))))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 3)))) (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 2)))) (/ x (* y (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 2))))))>
#<alt (/ 1 (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))))>
#<alt (+ (* -1 (/ x (* y (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 2)))) (/ 1 (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y)))))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 3)))) (* -1/2 (/ (pow x 2) (* y (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 2))))) (* -1 (/ x (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 2)))) y)) (/ 1 (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y)))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow x 3) (* y (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 3)))) (+ (* -1/3 (/ (pow x 3) (* y (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 2)))) (/ (* x (+ (* -1 (/ (pow x 2) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 3))) (* -1/2 (/ (pow x 2) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 2))))) (* y (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))))))) (+ (* -1 (/ (pow x 2) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 3))) (* -1/2 (/ (pow x 2) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 2))))) y)) (* -1 (/ x (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 2)))) y)) (/ 1 (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y)))))))>
#<alt (/ 1 (+ t (+ (log z) (log (+ x y)))))>
#<alt (/ 1 (+ t (+ (log z) (log (+ x y)))))>
#<alt (/ 1 (+ t (+ (log z) (log (+ x y)))))>
#<alt (/ 1 (+ t (+ (log z) (log (+ x y)))))>
#<alt (/ 1 (+ t (+ (log (+ x y)) (* -1 (log (/ 1 z))))))>
#<alt (/ 1 (+ t (+ (log (+ x y)) (* -1 (log (/ 1 z))))))>
#<alt (/ 1 (+ t (+ (log (+ x y)) (* -1 (log (/ 1 z))))))>
#<alt (/ 1 (+ t (+ (log (+ x y)) (* -1 (log (/ 1 z))))))>
#<alt (/ 1 (+ t (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))))>
#<alt (/ 1 (+ t (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))))>
#<alt (/ 1 (+ t (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))))>
#<alt (/ 1 (+ t (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))))>
Calls

198 calls:

TimeVariablePointExpression
50.0ms
y
@-inf
(+ (* (- (pow (log (* (+ x y) z)) 2) (* t t)) (/ 1 (+ t (log (* (+ x y) z))))) (* (log t) (+ a -1/2)))
26.0ms
z
@-inf
(- (- (log (* (+ x y) z)) (* (log t) (- 1/2 a))) t)
14.0ms
t
@0
(- (log (* (+ x y) z)) (* (log t) (- 1/2 a)))
9.0ms
z
@0
(- (- (log (* (+ x y) z)) (* (log t) (- 1/2 a))) t)
9.0ms
t
@0
(/ (log z) t)

rewrite336.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
2866×*-lowering-*.f32
2866×*-lowering-*.f64
2684×fma-lowering-fma.f32
2684×fma-lowering-fma.f64
1694×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047223
1334211
23464204
08094204
Stop Event
iter limit
node limit
Counts
19 → 461
Calls
Call 1
Inputs
(+ (* t (+ (/ (log (+ y x)) t) (+ (/ (log z) t) -1))) (* (- a 1/2) (log t)))
(* t (+ (/ (log (+ y x)) t) (+ (/ (log z) t) -1)))
(+ (/ (log (+ y x)) t) (+ (/ (log z) t) -1))
(/ (log (+ y x)) t)
(- 0 t)
(- (- (log (* (+ x y) z)) (* (log t) (- 1/2 a))) t)
(- (log (* (+ x y) z)) (* (log t) (- 1/2 a)))
(log (* (+ x y) z))
(* (+ x y) z)
(+ (log (+ x y)) (* t (- (+ (/ (log z) t) -1) (* (* 1 (log t)) (/ (- 1/2 a) t)))))
(* t (- (+ (/ (log z) t) -1) (* (* 1 (log t)) (/ (- 1/2 a) t))))
(- (+ (/ (log z) t) -1) (* (* 1 (log t)) (/ (- 1/2 a) t)))
(* (* 1 (log t)) (/ (- 1/2 a) t))
(+ (* (- (pow (log (* (+ x y) z)) 2) (* t t)) (/ 1 (+ t (log (* (+ x y) z))))) (* (log t) (+ a -1/2)))
(- (pow (log (* (+ x y) z)) 2) (* t t))
(pow (log (* (+ x y) z)) 2)
(/ (log z) t)
(* (log t) (- 1/2 a))
(/ 1 (+ t (log (* (+ x y) z))))
Outputs
(+.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))
(+.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))))
(+.f64 (*.f64 a (log.f64 t)) (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x))))))))
(+.f64 (/.f64 t (/.f64 t (log.f64 (+.f64 y x)))) (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))
(+.f64 (+.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))) (*.f64 a (log.f64 t))) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(+.f64 (+.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (/.f64 t (/.f64 t (log.f64 (+.f64 y x))))) (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))) #s(literal 2 binary64)) (-.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) (/.f64 (pow.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) #s(literal 2 binary64)) (-.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))))
(fma.f64 t (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))
(fma.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x))))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))
(fma.f64 (/.f64 (log.f64 (+.f64 y x)) t) t (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x))))) t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))
(fma.f64 a (log.f64 t) (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x))))))))
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))))
(fma.f64 (log.f64 t) a (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x))))))))
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))))
(fma.f64 (log.f64 t) (*.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x))))))))
(fma.f64 (log.f64 t) (*.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))))
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(*.f64 (log.f64 (*.f64 z (+.f64 y x))) (log.f64 (*.f64 z (+.f64 y x))))
(*.f64 (exp.f64 (log.f64 (log.f64 (*.f64 z (+.f64 y x))))) (exp.f64 (log.f64 (log.f64 (*.f64 z (+.f64 y x))))))
(*.f64 (pow.f64 (exp.f64 (log.f64 (log.f64 (*.f64 z (+.f64 y x))))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 (log.f64 (*.f64 z (+.f64 y x))))) #s(literal 1 binary64)))
(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)))
(neg.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) t))
(/.f64 (log.f64 z) t)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (log.f64 z))))
(/.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 (log.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) t))
(/.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)) t)
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (neg.f64 (-.f64 #s(literal 0 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 #s(literal 1 binary64) (/.f64 (log.f64 z) t))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) 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)))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))) (*.f64 t t))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) (*.f64 t t))) t)
(+.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) (*.f64 (log.f64 t) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 t)) (*.f64 (-.f64 #s(literal 0 binary64) a) (log.f64 t)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 t) (*.f64 (-.f64 #s(literal 0 binary64) a) (log.f64 t)))
(fma.f64 (log.f64 t) #s(literal 1/2 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 (log.f64 t) (-.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)))))
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 a #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 a #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))
(*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))
(*.f64 (log.f64 t) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) a)))
(*.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t))
(*.f64 (*.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 #s(literal 1/2 binary64) a)))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) (log.f64 t))
(exp.f64 (*.f64 (log.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 t (log.f64 (*.f64 z (+.f64 y x))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 t (log.f64 (*.f64 z (+.f64 y x))))))
(/.f64 #s(literal 1 binary64) (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))))))
(pow.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 t (log.f64 (*.f64 z (+.f64 y x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t (log.f64 (*.f64 z (+.f64 y x))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)))) (+.f64 (*.f64 t t) (*.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)))) (-.f64 t (log.f64 (*.f64 z (+.f64 y x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 t (log.f64 (*.f64 z (+.f64 y x))))) #s(literal -1 binary64)))

simplify585.0ms (4%)

Algorithm
egg-herbie
Rules
4850×*-lowering-*.f32
4850×*-lowering-*.f64
4564×+-lowering-+.f64
4564×+-lowering-+.f32
2472×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0181622204
1639420927
0864420927
Stop Event
iter limit
node limit
Counts
792 → 792
Calls
Call 1
Inputs
(+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2))))
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))
(* -1 t)
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (log z)) (* -1 (log (+ x y))))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (log z)) (* -1 (log (+ x y))))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (log z)) (* -1 (log (+ x y))))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))
(+ (* t (- (+ (/ (log x) t) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (/ (log x) t) (/ (log z) t)) 1)) (+ (* (log t) (- a 1/2)) (/ y x)))
(+ (* t (- (+ (/ (log x) t) (/ (log z) t)) 1)) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2))))
(+ (* t (- (+ (/ (log x) t) (/ (log z) t)) 1)) (+ (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (* (log t) (- a 1/2))))
(+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (+ (* (log t) (- a 1/2)) (/ x y)))
(+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (+ (* (log t) (- a 1/2)) (/ x y))))
(+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (+ (* (log t) (- a 1/2)) (/ x y)))))
(+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (+ (* (log t) (- a 1/2)) (/ x y)))
(+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2))))
(+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2))))
(+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (+ (* (log t) (- a 1/2)) (/ x y)))
(+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))
(+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))
(+ (* t (- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1)) (+ (* (log t) (- a 1/2)) (/ y x)))
(+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* t (- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1)) (+ (* (log t) (- a 1/2)) (/ y x))))
(+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* t (- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1)) (+ (* (log t) (- a 1/2)) (/ y x)))))
(+ (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (+ (* (log t) (- a 1/2)) (/ y x)))
(+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (+ (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2))))
(+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (+ (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2))))
(+ (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log (+ x y)) t))) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log (+ x y)) t))) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log (+ x y)) t))) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log (+ x y)) t))) 1)) (* (log t) (- a 1/2)))
(+ (* -1/2 (log t)) (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)))
(+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))))
(+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))))
(+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))))
(* a (log t))
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) a))))
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) a))))
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) a))))
(* a (log t))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))) a)))))
(+ (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) t)) (* -1 (/ (log (+ x y)) t))))))
(* -1 (* t (+ 1 (+ (* -1 (/ (log z) t)) (* -1 (/ (log (+ x y)) t))))))
(* -1 (* t (+ 1 (+ (* -1 (/ (log z) t)) (* -1 (/ (log (+ x y)) t))))))
(* t (- (+ (/ (log x) t) (/ (log z) t)) 1))
(+ (* t (- (+ (/ (log x) t) (/ (log z) t)) 1)) (/ y x))
(+ (* t (- (+ (/ (log x) t) (/ (log z) t)) 1)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))
(+ (* t (- (+ (/ (log x) t) (/ (log z) t)) 1)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))
(* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1))
(+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (/ x y))
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(* 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))
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))
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(* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log (+ x y)) t))) 1))
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(pow (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) 2)
(pow (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) 2)
(pow (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) 2)
(pow (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) 2)
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(/ (log z) t)
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(* -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)
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(/ (+ (log -1) (* -1 (log (/ -1 z)))) t)
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t)
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(/ (log z) t)
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Outputs
(+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2))))
(+.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
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(* -1 t)
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(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))
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(- (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 3))) (* -1/2 (/ (pow x 2) (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 2))))) (+ t (+ (log z) (* -1 (log (/ 1 y))))))) (+ (* 1/3 (/ (pow x 3) (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 2))) (* 1/2 (/ (pow x 3) (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 3))))) (pow y 3))) (/ 1 (+ t (+ (log z) (* -1 (log (/ 1 y))))))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 3)))) (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 2)))) (/ x (* y (pow (+ t (+ (log z) (* -1 (log (/ 1 y))))) 2))))))
(+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 (+.f64 (+.f64 t (log.f64 z)) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (pow.f64 (+.f64 (+.f64 t (log.f64 z)) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))))) (+.f64 (+.f64 t (log.f64 z)) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 (+.f64 t (log.f64 z)) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 (+.f64 t (log.f64 z)) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))))) (*.f64 y (*.f64 y y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 t (log.f64 z)) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) y))))) (+.f64 (neg.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (+.f64 (+.f64 t (log.f64 z)) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 x y) (pow.f64 (+.f64 (+.f64 t (log.f64 z)) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (pow.f64 (+.f64 (+.f64 t (log.f64 z)) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))))))))
(/ 1 (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))))
(/.f64 #s(literal 1 binary64) (+.f64 t (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 z)))))
(+ (* -1 (/ x (* y (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 2)))) (/ 1 (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 t (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 z))))) (neg.f64 (/.f64 (/.f64 x y) (pow.f64 (+.f64 t (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 z)))) #s(literal 2 binary64)))))
(+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 3)))) (* -1/2 (/ (pow x 2) (* y (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 2))))) (* -1 (/ x (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 2)))) y)) (/ 1 (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 t (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 z))))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (*.f64 x x) y) (pow.f64 (+.f64 t (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 z)))) #s(literal 3 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 y (pow.f64 (+.f64 t (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 z)))) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) (pow.f64 (+.f64 t (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 z)))) #s(literal 2 binary64))))) y)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow x 3) (* y (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 3)))) (+ (* -1/3 (/ (pow x 3) (* y (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 2)))) (/ (* x (+ (* -1 (/ (pow x 2) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 3))) (* -1/2 (/ (pow x 2) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 2))))) (* y (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))))))) (+ (* -1 (/ (pow x 2) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 3))) (* -1/2 (/ (pow x 2) (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 2))))) y)) (* -1 (/ x (pow (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y))))) 2)))) y)) (/ 1 (+ t (+ (log (* -1 z)) (* -1 (log (/ -1 y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 t (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 z))))) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (pow.f64 (+.f64 t (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 z)))) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (pow.f64 (+.f64 t (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 z)))) #s(literal 2 binary64))))) (/.f64 (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 (+.f64 t (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 z)))) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (pow.f64 (+.f64 t (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 z)))) #s(literal 2 binary64))))) (*.f64 y (+.f64 t (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 z))))))) (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 (+.f64 t (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 z)))) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (pow.f64 (+.f64 t (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 z)))) #s(literal 2 binary64))))) y) (/.f64 x (pow.f64 (+.f64 t (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 z)))) #s(literal 2 binary64)))))) y))
(/ 1 (+ t (+ (log z) (log (+ x y)))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 t (log.f64 z)) (log.f64 (+.f64 x y))))
(/ 1 (+ t (+ (log z) (log (+ x y)))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 t (log.f64 z)) (log.f64 (+.f64 x y))))
(/ 1 (+ t (+ (log z) (log (+ x y)))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 t (log.f64 z)) (log.f64 (+.f64 x y))))
(/ 1 (+ t (+ (log z) (log (+ x y)))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 t (log.f64 z)) (log.f64 (+.f64 x y))))
(/ 1 (+ t (+ (log (+ x y)) (* -1 (log (/ 1 z))))))
(/.f64 #s(literal 1 binary64) (+.f64 t (+.f64 (log.f64 (+.f64 x y)) (neg.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))))))
(/ 1 (+ t (+ (log (+ x y)) (* -1 (log (/ 1 z))))))
(/.f64 #s(literal 1 binary64) (+.f64 t (+.f64 (log.f64 (+.f64 x y)) (neg.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))))))
(/ 1 (+ t (+ (log (+ x y)) (* -1 (log (/ 1 z))))))
(/.f64 #s(literal 1 binary64) (+.f64 t (+.f64 (log.f64 (+.f64 x y)) (neg.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))))))
(/ 1 (+ t (+ (log (+ x y)) (* -1 (log (/ 1 z))))))
(/.f64 #s(literal 1 binary64) (+.f64 t (+.f64 (log.f64 (+.f64 x y)) (neg.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))))))
(/ 1 (+ t (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) #s(literal -1 binary64)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)))))
(/ 1 (+ t (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) #s(literal -1 binary64)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)))))
(/ 1 (+ t (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) #s(literal -1 binary64)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)))))
(/ 1 (+ t (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) #s(literal -1 binary64)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)))))

eval470.0ms (3.2%)

Compiler

Compiled 54715 to 4128 computations (92.5% saved)

prune298.0ms (2%)

Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New1489251514
Fresh10818
Picked505
Done000
Total1504331537
Accuracy
100.0%
Counts
1537 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(fma.f64 (/.f64 (log.f64 (+.f64 y x)) t) t (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))
73.6%
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
73.2%
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x))))) t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))
52.1%
(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 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))))
45.4%
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 t (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
45.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)))) (*.f64 (/.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t))) (+.f64 #s(literal 1/2 binary64) a)))
12.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
20.4%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
12.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
20.4%
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
57.8%
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
51.7%
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 a #s(literal 1/2 binary64)))))) t)
73.5%
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
26.8%
(-.f64 (-.f64 (log.f64 (*.f64 z x)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
73.5%
(-.f64 (*.f64 (log.f64 t) a) t)
73.1%
(-.f64 (*.f64 a (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) a) (+.f64 (*.f64 (log.f64 t) #s(literal -1 binary64)) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)))) t)
78.5%
(+.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)))
73.1%
(+.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))))
99.0%
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (*.f64 t (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))
77.7%
(+.f64 (*.f64 t (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) (*.f64 t t))) t (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 y x)) t)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
88.6%
(+.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 y x)))
76.2%
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
61.3%
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
39.1%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
63.7%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (/.f64 (log.f64 z) t) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) t))))))
28.3%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (*.f64 a (/.f64 (log.f64 t) t))))
42.6%
(+.f64 (log.f64 (+.f64 x y)) (neg.f64 t))
61.4%
(+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))
12.1%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
20.4%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
35.9%
(*.f64 (log.f64 t) a)
65.0%
(*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (log.f64 t) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))))
38.9%
(neg.f64 t)
Compiler

Compiled 1492 to 990 computations (33.6% saved)

simplify186.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) t)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x))))
cost-diff128
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))
cost-diff6656
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x))))) t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))
cost-diff0
(*.f64 (+.f64 x y) z)
cost-diff0
(log.f64 (*.f64 (+.f64 x y) z))
cost-diff0
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64))))
cost-diff0
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
cost-diff0
(log.f64 t)
cost-diff0
(*.f64 (log.f64 t) a)
cost-diff0
(-.f64 (*.f64 (log.f64 t) a) t)
cost-diff-64
(neg.f64 t)
cost-diff0
(/.f64 (log.f64 (+.f64 y x)) t)
cost-diff256
(*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))
cost-diff256
(+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))
cost-diff6784
(fma.f64 (/.f64 (log.f64 (+.f64 y x)) t) t (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))
Rules
1824×*-lowering-*.f32
1824×*-lowering-*.f64
1656×+-lowering-+.f64
1656×+-lowering-+.f32
1408×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
043265
1102261
2228252
3788241
43041240
56409240
08096240
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (/ (log (+ y x)) t) t) (+ (* t (+ (/ (log z) t) -1)) (* (+ a -1/2) (log t))))
(/ (log (+ y x)) t)
(log (+ y x))
(+ y x)
y
x
t
(+ (* t (+ (/ (log z) t) -1)) (* (+ a -1/2) (log t)))
(* t (+ (/ (log z) t) -1))
(+ (/ (log z) t) -1)
(/ (log z) t)
(log z)
z
-1
(* (+ a -1/2) (log t))
(+ a -1/2)
a
-1/2
(log t)
(neg t)
t
(- (* (log t) a) t)
(* (log t) a)
(log t)
t
a
(- (- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))) t)
(- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2)))
(log (* (+ x y) z))
(* (+ x y) z)
(+ x y)
x
y
z
(/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))
(* (- 1/4 (* a a)) (log t))
(- 1/4 (* a a))
1/4
(* a a)
a
(log t)
t
(+ a 1/2)
1/2
(+ (* (+ -1 (* (/ 1 t) (log (* z (+ y x))))) t) (* (+ a -1/2) (log t)))
(+ -1 (* (/ 1 t) (log (* z (+ y x)))))
-1
(* (/ 1 t) (log (* z (+ y x))))
(/ 1 t)
1
t
(log (* z (+ y x)))
(* z (+ y x))
z
(+ y x)
y
x
(* (+ a -1/2) (log t))
(+ a -1/2)
a
-1/2
(log t)
Outputs
(+ (* (/ (log (+ y x)) t) t) (+ (* t (+ (/ (log z) t) -1)) (* (+ a -1/2) (log t))))
(-.f64 (log.f64 (+.f64 y x)) (+.f64 (-.f64 t (log.f64 z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(/ (log (+ y x)) t)
(/.f64 (log.f64 (+.f64 y x)) t)
(log (+ y x))
(log.f64 (+.f64 y x))
(+ y x)
(+.f64 y x)
y
x
t
(+ (* t (+ (/ (log z) t) -1)) (* (+ a -1/2) (log t)))
(-.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (-.f64 t (log.f64 z)))
(* t (+ (/ (log z) t) -1))
(-.f64 (log.f64 z) 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)
(* (+ a -1/2) (log t))
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))
(+ a -1/2)
(+.f64 a #s(literal -1/2 binary64))
a
-1/2
#s(literal -1/2 binary64)
(log t)
(log.f64 t)
(neg t)
(-.f64 #s(literal 0 binary64) t)
t
(- (* (log t) a) t)
(-.f64 (*.f64 a (log.f64 t)) t)
(* (log t) a)
(*.f64 a (log.f64 t))
(log t)
(log.f64 t)
t
a
(- (- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))) t)
(+.f64 (log.f64 (*.f64 (+.f64 y x) z)) (-.f64 (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (+.f64 (*.f64 a a) #s(literal -1/4 binary64))) t))
(- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2)))
(+.f64 (log.f64 (*.f64 (+.f64 y x) z)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (+.f64 (*.f64 a a) #s(literal -1/4 binary64))))
(log (* (+ x y) z))
(log.f64 (*.f64 (+.f64 y x) z))
(* (+ x y) z)
(*.f64 (+.f64 y x) z)
(+ x y)
(+.f64 y x)
x
y
z
(/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))))
(* (- 1/4 (* a a)) (log t))
(*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a 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
(log t)
(log.f64 t)
t
(+ a 1/2)
(+.f64 a #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ (* (+ -1 (* (/ 1 t) (log (* z (+ y x))))) t) (* (+ a -1/2) (log t)))
(-.f64 (log.f64 (*.f64 (+.f64 y x) z)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(+ -1 (* (/ 1 t) (log (* z (+ y x)))))
(+.f64 #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))
-1
#s(literal -1 binary64)
(* (/ 1 t) (log (* z (+ y x))))
(/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
1
#s(literal 1 binary64)
t
(log (* z (+ y x)))
(log.f64 (*.f64 (+.f64 y x) z))
(* z (+ y x))
(*.f64 (+.f64 y x) z)
z
(+ y x)
(+.f64 y x)
y
x
(* (+ a -1/2) (log t))
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))
(+ a -1/2)
(+.f64 a #s(literal -1/2 binary64))
a
-1/2
#s(literal -1/2 binary64)
(log t)
(log.f64 t)

localize238.0ms (1.6%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))
accuracy99.5%
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x))))) t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))
accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x))))
accuracy73.8%
(log.f64 (*.f64 z (+.f64 y x)))
accuracy99.9%
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t))
accuracy99.7%
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64))))
accuracy78.8%
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))
accuracy73.8%
(log.f64 (*.f64 (+.f64 x y) z))
accuracy100.0%
(log.f64 t)
accuracy100.0%
(-.f64 (*.f64 (log.f64 t) a) t)
accuracy99.6%
(*.f64 (log.f64 t) a)
accuracy100.0%
(neg.f64 t)
accuracy99.8%
(*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))
accuracy99.6%
(/.f64 (log.f64 z) t)
accuracy99.6%
(/.f64 (log.f64 (+.f64 y x)) t)
accuracy99.4%
(fma.f64 (/.f64 (log.f64 (+.f64 y x)) t) t (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))
Results
174.0ms256×0valid
Compiler

Compiled 284 to 42 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-log: 21.0ms (29.7% of total)
ival-mult: 16.0ms (22.6% of total)
ival-add: 12.0ms (17% of total)
ival-div: 8.0ms (11.3% of total)
compiled-spec: 7.0ms (9.9% of total)
ival-sub: 5.0ms (7.1% of total)
const: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series59.0ms (0.4%)

Counts
21 → 720
Calls
Call 1
Inputs
#<alt (+ (* (/ (log (+ y x)) t) t) (+ (* t (+ (/ (log z) t) -1)) (* (+ a -1/2) (log t))))>
#<alt (+ (* t (+ (/ (log z) t) -1)) (* (+ a -1/2) (log t)))>
#<alt (* t (+ (/ (log z) t) -1))>
#<alt (/ (log (+ y x)) t)>
#<alt (neg t)>
#<alt (- (* (log t) a) t)>
#<alt (* (log t) a)>
#<alt (log t)>
#<alt (- (- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))) t)>
#<alt (- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2)))>
#<alt (log (* (+ x y) z))>
#<alt (* (+ x y) z)>
#<alt (+ (* (+ -1 (* (/ 1 t) (log (* z (+ y x))))) t) (* (+ a -1/2) (log t)))>
#<alt (+ -1 (* (/ 1 t) (log (* z (+ y x)))))>
#<alt (* (/ 1 t) (log (* z (+ y x))))>
#<alt (/ 1 t)>
#<alt (/ (log z) t)>
#<alt (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))>
#<alt (* (- 1/4 (* a a)) (log t))>
#<alt (log (* z (+ y x)))>
#<alt (* (+ a -1/2) (log t))>
Outputs
#<alt (+ (log x) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (log x) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ y x))))>
#<alt (+ (log x) (+ (* t (- (/ (log z) t) 1)) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2)))))>
#<alt (+ (log x) (+ (* t (- (/ (log z) t) 1)) (+ (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (* (log t) (- a 1/2)))))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ x y))))>
#<alt (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ 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) (- a 1/2)) (/ x y))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2)))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ 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) (- a 1/2))))))>
#<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) (- a 1/2))))))>
#<alt (+ (log y) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (log y) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ x y))))>
#<alt (+ (log y) (+ (* t (- (/ (log z) t) 1)) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2)))))>
#<alt (+ (log y) (+ (* t (- (/ (log z) t) 1)) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2)))))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ y x))))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ 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) (- a 1/2)) (/ y x))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2)))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ 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) (- a 1/2))))))>
#<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) (- a 1/2))))))>
#<alt (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2))))>
#<alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))>
#<alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))>
#<alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))>
#<alt (* -1 t)>
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))>
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))>
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))>
#<alt (* -1 t)>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))>
#<alt (+ (log (+ x y)) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (log (+ x y)) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (log (+ x y)) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (log (+ x y)) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (log (+ x y)) (+ (* t (- (* -1 (/ (log (/ 1 z)) t)) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (log (+ x y)) (+ (* t (- (* -1 (/ (log (/ 1 z)) t)) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (log (+ x y)) (+ (* t (- (* -1 (/ (log (/ 1 z)) t)) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (log (+ x y)) (+ (* t (- (* -1 (/ (log (/ 1 z)) t)) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (log (+ x y)) (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (log (+ x y)) (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (log (+ x y)) (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (log (+ x y)) (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2))))>
#<alt (+ (log (+ x y)) (+ (* -1/2 (log t)) (* t (- (/ (log z) t) 1))))>
#<alt (+ (log (+ x y)) (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log z) t) 1)))))>
#<alt (+ (log (+ x y)) (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log z) t) 1)))))>
#<alt (+ (log (+ x y)) (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log z) t) 1)))))>
#<alt (* a (log t))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log (+ x y)) a) (/ (* t (- (/ (log z) t) 1)) a)))))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log (+ x y)) a) (/ (* t (- (/ (log z) t) 1)) a)))))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log (+ x y)) a) (/ (* t (- (/ (log z) t) 1)) a)))))>
#<alt (* a (log t))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (+ (* -1/2 (log t)) (* t (- (/ (log z) t) 1)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (+ (* -1/2 (log t)) (* t (- (/ (log z) t) 1)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (+ (* -1/2 (log t)) (* t (- (/ (log z) t) 1)))) a)))))>
#<alt (+ (log z) (* (log t) (- a 1/2)))>
#<alt (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2))))>
#<alt (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2))))>
#<alt (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2))))>
#<alt (* -1 t)>
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log z) t)) 1))>
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log z) t)) 1))>
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log z) t)) 1))>
#<alt (* -1 t)>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))>
#<alt (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (* -1 (/ (log (/ 1 z)) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (* -1 (/ (log (/ 1 z)) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (* -1 (/ (log (/ 1 z)) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (* -1 (/ (log (/ 1 z)) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2)))>
#<alt (+ (* -1/2 (log t)) (* t (- (/ (log z) t) 1)))>
#<alt (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log z) t) 1))))>
#<alt (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log z) t) 1))))>
#<alt (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log z) t) 1))))>
#<alt (* a (log t))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (/ (log z) t) 1)) a))))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (/ (log z) t) 1)) a))))>
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (/ (log z) t) 1)) a))))>
#<alt (* a (log t))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (/ (log z) t) 1))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (/ (log z) t) 1))) a)))))>
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (/ (log z) t) 1))) a)))))>
#<alt (log z)>
#<alt (+ (log z) (* -1 t))>
#<alt (+ (log z) (* -1 t))>
#<alt (+ (log z) (* -1 t))>
#<alt (* -1 t)>
#<alt (* t (- (/ (log z) t) 1))>
#<alt (* t (- (/ (log z) t) 1))>
#<alt (* t (- (/ (log z) t) 1))>
#<alt (* -1 t)>
#<alt (* -1 (* t (+ 1 (* -1 (/ (log z) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (log z) t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ (log z) t)))))>
#<alt (* t (- (/ (log z) t) 1))>
#<alt (* t (- (/ (log z) t) 1))>
#<alt (* t (- (/ (log z) t) 1))>
#<alt (* t (- (/ (log z) t) 1))>
#<alt (* t (- (* -1 (/ (log (/ 1 z)) t)) 1))>
#<alt (* t (- (* -1 (/ (log (/ 1 z)) t)) 1))>
#<alt (* t (- (* -1 (/ (log (/ 1 z)) t)) 1))>
#<alt (* t (- (* -1 (/ (log (/ 1 z)) t)) 1))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) 1))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) 1))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) 1))>
#<alt (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) 1))>
#<alt (/ (log x) t)>
#<alt (+ (/ y (* t x)) (/ (log x) t))>
#<alt (+ (* y (+ (* -1/2 (/ y (* t (pow x 2)))) (/ 1 (* t x)))) (/ (log x) t))>
#<alt (+ (* y (+ (* y (- (* 1/3 (/ y (* t (pow x 3)))) (* 1/2 (/ 1 (* t (pow x 2)))))) (/ 1 (* t x)))) (/ (log x) t))>
#<alt (* -1 (/ (log (/ 1 y)) t))>
#<alt (+ (* -1 (/ (log (/ 1 y)) t)) (/ x (* t y)))>
#<alt (+ (* -1 (/ (log (/ 1 y)) t)) (+ (* -1/2 (/ (pow x 2) (* t (pow y 2)))) (/ x (* t y))))>
#<alt (+ (* -1 (/ (log (/ 1 y)) t)) (+ (* -1/2 (/ (pow x 2) (* t (pow y 2)))) (+ (* 1/3 (/ (pow x 3) (* t (pow y 3)))) (/ x (* t y)))))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 y)))) t)>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ x (* t y)) (/ (log -1) t)))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* -1 (/ x t)) (* 1/2 (/ (pow x 2) (* t y)))) y)) (/ (log -1) t)))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* -1 (/ x t)) (* -1 (/ (+ (* -1/2 (/ (pow x 2) t)) (* 1/3 (/ (pow x 3) (* t y)))) y))) y)) (/ (log -1) t)))>
#<alt (/ (log y) t)>
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#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))>
#<alt (* 1/4 (log t))>
#<alt (+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))>
#<alt (+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))>
#<alt (+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))>
#<alt (* -1 (* (pow a 2) (log t)))>
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))>
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))>
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))>
#<alt (* -1 (* (pow a 2) (log t)))>
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))>
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))>
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))>
#<alt (* (log t) (- 1/4 (pow a 2)))>
#<alt (* (log t) (- 1/4 (pow a 2)))>
#<alt (* (log t) (- 1/4 (pow a 2)))>
#<alt (* (log t) (- 1/4 (pow a 2)))>
#<alt (* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))>
#<alt (* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))>
#<alt (* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))>
#<alt (* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))>
#<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 (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 (* 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 (* -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

180 calls:

TimeVariablePointExpression
9.0ms
a
@0
(* (log t) a)
5.0ms
t
@inf
(* (/ 1 t) (log (* z (+ y x))))
3.0ms
t
@inf
(* (log t) a)
2.0ms
t
@inf
(- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2)))
1.0ms
z
@0
(- (- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))) t)

rewrite328.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
3476×fma-lowering-fma.f32
3476×fma-lowering-fma.f64
2452×*-lowering-*.f32
2452×*-lowering-*.f64
2170×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043187
1278183
22645179
08338179
Stop Event
iter limit
node limit
Counts
21 → 438
Calls
Call 1
Inputs
(+ (* (/ (log (+ y x)) t) t) (+ (* t (+ (/ (log z) t) -1)) (* (+ a -1/2) (log t))))
(+ (* t (+ (/ (log z) t) -1)) (* (+ a -1/2) (log t)))
(* t (+ (/ (log z) t) -1))
(/ (log (+ y x)) t)
(neg t)
(- (* (log t) a) t)
(* (log t) a)
(log t)
(- (- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))) t)
(- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2)))
(log (* (+ x y) z))
(* (+ x y) z)
(+ (* (+ -1 (* (/ 1 t) (log (* z (+ y x))))) t) (* (+ a -1/2) (log t)))
(+ -1 (* (/ 1 t) (log (* z (+ y x)))))
(* (/ 1 t) (log (* z (+ y x))))
(/ 1 t)
(/ (log z) t)
(/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))
(* (- 1/4 (* a a)) (log t))
(log (* z (+ y x)))
(* (+ a -1/2) (log t))
Outputs
(+.f64 (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)) (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))
(+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t))))
(+.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))))
(+.f64 (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)))
(+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))
(+.f64 (+.f64 (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))))) (/.f64 (pow.f64 (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))))))
(fma.f64 (log.f64 (+.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) t) t) (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))
(fma.f64 (log.f64 (+.f64 y x)) (/.f64 t t) (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))
(fma.f64 t (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))
(fma.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (+.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t))))
(fma.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))
(fma.f64 (/.f64 (log.f64 (+.f64 y x)) t) t (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))
(fma.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) t (+.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t))))
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))))
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))))
(fma.f64 (+.f64 (pow.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) #s(literal 3 binary64)) (pow.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (-.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))))))) (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)))
(fma.f64 (-.f64 (pow.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)))
(fma.f64 (*.f64 (log.f64 (+.f64 y x)) t) (/.f64 #s(literal 1 binary64) t) (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) (-.f64 (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t))))) (+.f64 (pow.f64 (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))) (-.f64 (pow.f64 (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) (-.f64 (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)) (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) #s(literal 2 binary64))) (-.f64 (-.f64 (*.f64 (log.f64 (+.f64 y x)) (/.f64 t t)) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (log.f64 (+.f64 y x)) t) (+.f64 (pow.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (-.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))))))) (*.f64 t (+.f64 (pow.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) #s(literal 3 binary64)) (pow.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) #s(literal 3 binary64))))) (*.f64 t (+.f64 (pow.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (-.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))))))))
(/.f64 (+.f64 (*.f64 (*.f64 (log.f64 (+.f64 y x)) t) (-.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) (*.f64 t (-.f64 (pow.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) #s(literal 2 binary64))))) (*.f64 t (-.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))))
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(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 x z) (*.f64 x z)))) (log.f64 (-.f64 (*.f64 y z) (*.f64 x 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 (*.f64 x x)) (*.f64 y (*.f64 y y))))) (log.f64 (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))))
(-.f64 (log.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))) (log.f64 (-.f64 x y)))
(-.f64 (log.f64 (*.f64 z (-.f64 (*.f64 y y) (*.f64 x x)))) (log.f64 (-.f64 y x)))
(-.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 (*.f64 x x)) (*.f64 y (*.f64 y y))) z)) (log.f64 (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))))
(-.f64 (log.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) z)) (log.f64 (-.f64 x y)))
(-.f64 (log.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) z)) (log.f64 (-.f64 y x)))
(fma.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64) (*.f64 (log.f64 z) #s(literal 1 binary64)))
(fma.f64 (log.f64 z) #s(literal 1 binary64) (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 (+.f64 y x)) (*.f64 #s(literal 1 binary64) (log.f64 z)))
(fma.f64 #s(literal 1 binary64) (log.f64 z) (*.f64 #s(literal 1 binary64) (log.f64 (+.f64 y x))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (+.f64 y x)) (log.f64 (+.f64 y x))) (-.f64 (*.f64 (log.f64 z) (log.f64 z)) (*.f64 (log.f64 (+.f64 y x)) (log.f64 z)))))
(/.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 z) (log.f64 z)) (-.f64 (*.f64 (log.f64 (+.f64 y x)) (log.f64 (+.f64 y x))) (*.f64 (log.f64 z) (log.f64 (+.f64 y x))))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 y x)) (log.f64 (+.f64 y x))) (*.f64 (log.f64 z) (log.f64 z))) (log.f64 (/.f64 (+.f64 y x) z)))
(/.f64 (-.f64 (*.f64 (log.f64 z) (log.f64 z)) (*.f64 (log.f64 (+.f64 y x)) (log.f64 (+.f64 y x)))) (log.f64 (/.f64 z (+.f64 y x))))
(*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 a (log.f64 t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(+.f64 (*.f64 a (log.f64 t)) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))
(+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (*.f64 a (log.f64 t)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) (*.f64 a (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)))
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (*.f64 a (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 (log.f64 t) #s(literal -1/2 binary64) (*.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 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 a) #s(literal -1/4 binary64)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))

simplify381.0ms (2.6%)

Algorithm
egg-herbie
Rules
6020×+-lowering-+.f64
6020×+-lowering-+.f32
2808×*-lowering-*.f32
2808×*-lowering-*.f64
1728×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073311187
1243610167
0820010167
Stop Event
iter limit
node limit
Counts
720 → 720
Calls
Call 1
Inputs
(+ (log x) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))
(+ (log x) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ y x))))
(+ (log x) (+ (* t (- (/ (log z) t) 1)) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2)))))
(+ (log x) (+ (* t (- (/ (log z) t) 1)) (+ (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (* (log t) (- a 1/2)))))
(+ (* -1 (log (/ 1 y))) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))
(+ (* -1 (log (/ 1 y))) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ x y))))
(+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ x y)))))
(+ (* -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) (- a 1/2)) (/ x y))))))
(+ (log -1) (+ (* -1 (log (/ -1 y))) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2)))))
(+ (log -1) (+ (* -1 (log (/ -1 y))) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ x y)))))
(+ (log -1) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))))
(+ (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) (- a 1/2))))))
(+ (log y) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))
(+ (log y) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ x y))))
(+ (log y) (+ (* t (- (/ (log z) t) 1)) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2)))))
(+ (log y) (+ (* t (- (/ (log z) t) 1)) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2)))))
(+ (* -1 (log (/ 1 x))) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))
(+ (* -1 (log (/ 1 x))) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ y x))))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ 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) (- a 1/2)) (/ y x))))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ 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) (- a 1/2))))))
(+ (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) (- a 1/2))))))
(+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2))))
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))
(* -1 t)
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))
(+ (log (+ x y)) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))
(+ (log (+ x y)) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))
(+ (log (+ x y)) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))
(+ (log (+ x y)) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))
(+ (log (+ x y)) (+ (* t (- (* -1 (/ (log (/ 1 z)) t)) 1)) (* (log t) (- a 1/2))))
(+ (log (+ x y)) (+ (* t (- (* -1 (/ (log (/ 1 z)) t)) 1)) (* (log t) (- a 1/2))))
(+ (log (+ x y)) (+ (* t (- (* -1 (/ (log (/ 1 z)) t)) 1)) (* (log t) (- a 1/2))))
(+ (log (+ x y)) (+ (* t (- (* -1 (/ (log (/ 1 z)) t)) 1)) (* (log t) (- a 1/2))))
(+ (log (+ x y)) (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2))))
(+ (log (+ x y)) (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2))))
(+ (log (+ x y)) (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2))))
(+ (log (+ x y)) (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2))))
(+ (log (+ x y)) (+ (* -1/2 (log t)) (* t (- (/ (log z) t) 1))))
(+ (log (+ x y)) (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log z) t) 1)))))
(+ (log (+ x y)) (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log z) t) 1)))))
(+ (log (+ x y)) (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log z) t) 1)))))
(* a (log t))
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(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log (+ x y)) a) (/ (* t (- (/ (log z) t) 1)) a)))))
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log (+ x y)) a) (/ (* t (- (/ (log z) t) 1)) a)))))
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(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (+ (* -1/2 (log t)) (* t (- (/ (log z) t) 1)))) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (+ (* -1/2 (log t)) (* t (- (/ (log z) t) 1)))) a)))))
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(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log z) t)) 1))
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(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))
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(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (/ (log z) t) 1))) a)))))
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(/ (log x) t)
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(+ (* y (+ (* y (- (* 1/3 (/ y (* t (pow x 3)))) (* 1/2 (/ 1 (* t (pow x 2)))))) (/ 1 (* t x)))) (/ (log x) t))
(* -1 (/ (log (/ 1 y)) t))
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(/ (+ (log -1) (* -1 (log (/ -1 y)))) t)
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ x (* t y)) (/ (log -1) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* -1 (/ x t)) (* 1/2 (/ (pow x 2) (* t y)))) y)) (/ (log -1) t)))
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(/ (log y) t)
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(+ (* -1 (/ (log (/ 1 x)) t)) (+ (* -1/2 (/ (pow y 2) (* t (pow x 2)))) (+ (* 1/3 (/ (pow y 3) (* t (pow x 3)))) (/ y (* t x)))))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) t)
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ y (* t x)) (/ (log -1) t)))
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(/ (log (+ x y)) t)
(/ (log (+ x y)) t)
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(/ (log (+ x y)) t)
(/ (log (+ x y)) t)
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(/ (log (+ x y)) t)
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(+ (* t (- (/ (log (* y z)) t) 1)) (* (log t) (- a 1/2)))
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(+ (* t (- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))
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(+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* t (- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1)) (+ (* (log t) (- a 1/2)) (/ y x)))))
(+ (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (/ (log (* -1 z)) t)) 1)) (* (log t) (- a 1/2)))
(+ (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (/ (log (* -1 z)) t)) 1)) (+ (* (log t) (- a 1/2)) (/ y x)))
(+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (+ (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (/ (log (* -1 z)) t)) 1)) (* (log t) (- a 1/2))))
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(+ (* -1/2 (log t)) (* t (- (/ (log (* z (+ x y))) t) 1)))
(+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log (* z (+ x y))) t) 1))))
(+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log (* z (+ x y))) t) 1))))
(+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log (* z (+ x y))) t) 1))))
(* a (log t))
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (/ (log (* z (+ x y))) t) 1)) a))))
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (/ (log (* z (+ x y))) t) 1)) a))))
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (/ (log (* z (+ x y))) t) 1)) a))))
(* a (log t))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (/ (log (* z (+ x y))) t) 1))) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (/ (log (* z (+ x y))) t) 1))) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (/ (log (* z (+ x y))) t) 1))) a)))))
(/ (log (* z (+ x y))) t)
(/ (+ (log (* z (+ x y))) (* -1 t)) t)
(/ (+ (log (* z (+ x y))) (* -1 t)) t)
(/ (+ (log (* z (+ x y))) (* -1 t)) t)
-1
(- (/ (log (* z (+ x y))) t) 1)
(- (/ (log (* z (+ x y))) t) 1)
(- (/ (log (* z (+ x y))) t) 1)
-1
(- (/ (log (* z (+ x y))) t) 1)
(- (/ (log (* z (+ x y))) t) 1)
(- (/ (log (* z (+ x y))) t) 1)
(- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)
(- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)
(- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)
(- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)
(- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1)
(- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1)
(- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1)
(- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log (+ x y)) t)) 1)
(- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log (* -1 (+ x y))) t)) 1)
(- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log (* -1 (+ x y))) t)) 1)
(- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log (* -1 (+ x y))) t)) 1)
(- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log (* -1 (+ x y))) t)) 1)
(- (/ (log (* x z)) t) 1)
(- (+ (/ y (* t x)) (/ (log (* x z)) t)) 1)
(- (+ (* y (+ (* -1/2 (/ y (* t (pow x 2)))) (/ 1 (* t x)))) (/ (log (* x z)) t)) 1)
(- (+ (* y (+ (* y (- (* 1/3 (/ y (* t (pow x 3)))) (* 1/2 (/ 1 (* t (pow x 2)))))) (/ 1 (* t x)))) (/ (log (* x z)) t)) 1)
(- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ x (* t y)) (/ (log z) t))) 1)
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (* -1/2 (/ (pow x 2) (* t (pow y 2)))) (+ (/ x (* t y)) (/ (log z) t)))) 1)
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (* -1/2 (/ (pow x 2) (* t (pow y 2)))) (+ (* 1/3 (/ (pow x 3) (* t (pow y 3)))) (+ (/ x (* t y)) (/ (log z) t))))) 1)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (* -1 z)) t)) 1)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ x (* t y)) (/ (log (* -1 z)) t))) 1)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* -1 (/ x t)) (* 1/2 (/ (pow x 2) (* t y)))) y)) (/ (log (* -1 z)) t))) 1)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* -1 (/ x t)) (* -1 (/ (+ (* -1/2 (/ (pow x 2) t)) (* 1/3 (/ (pow x 3) (* t y)))) y))) y)) (/ (log (* -1 z)) t))) 1)
(- (/ (log (* y z)) t) 1)
(- (+ (/ x (* t y)) (/ (log (* y z)) t)) 1)
(- (+ (* x (+ (* -1/2 (/ x (* t (pow y 2)))) (/ 1 (* t y)))) (/ (log (* y z)) t)) 1)
(- (+ (* x (+ (* x (- (* 1/3 (/ x (* t (pow y 3)))) (* 1/2 (/ 1 (* t (pow y 2)))))) (/ 1 (* t y)))) (/ (log (* y z)) t)) 1)
(- (+ (* -1 (/ (log (/ 1 x)) t)) (/ (log z) t)) 1)
(- (+ (* -1 (/ (log (/ 1 x)) t)) (+ (/ y (* t x)) (/ (log z) t))) 1)
(- (+ (* -1 (/ (log (/ 1 x)) t)) (+ (* -1/2 (/ (pow y 2) (* t (pow x 2)))) (+ (/ y (* t x)) (/ (log z) t)))) 1)
(- (+ (* -1 (/ (log (/ 1 x)) t)) (+ (* -1/2 (/ (pow y 2) (* t (pow x 2)))) (+ (* 1/3 (/ (pow y 3) (* t (pow x 3)))) (+ (/ y (* t x)) (/ (log z) t))))) 1)
(- (+ (* -1 (/ (log (/ -1 x)) t)) (/ (log (* -1 z)) t)) 1)
(- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ y (* t x)) (/ (log (* -1 z)) t))) 1)
(- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* 1/2 (/ (pow y 2) (* t x)))) x)) (/ (log (* -1 z)) t))) 1)
(- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) t)) (* 1/3 (/ (pow y 3) (* t x)))) x))) x)) (/ (log (* -1 z)) t))) 1)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x 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 (+ x y))) (* -1 (log (/ -1 z)))) t)
(/ (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) t)
(/ (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) t)
(/ (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) t)
(/ (log (* x z)) t)
(+ (/ y (* t x)) (/ (log (* x z)) t))
(+ (* y (+ (* -1/2 (/ y (* t (pow x 2)))) (/ 1 (* t x)))) (/ (log (* x z)) t))
(+ (* y (+ (* y (- (* 1/3 (/ y (* t (pow x 3)))) (* 1/2 (/ 1 (* t (pow x 2)))))) (/ 1 (* t x)))) (/ (log (* x z)) t))
(/ (+ (log z) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ x (* t y)) (/ (log z) t)))
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (* -1/2 (/ (pow x 2) (* t (pow y 2)))) (+ (/ x (* t y)) (/ (log z) t))))
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (* -1/2 (/ (pow x 2) (* t (pow y 2)))) (+ (* 1/3 (/ (pow x 3) (* t (pow y 3)))) (+ (/ x (* t y)) (/ (log z) t)))))
(/ (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t)
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ x (* t y)) (/ (log (* -1 z)) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* -1 (/ x t)) (* 1/2 (/ (pow x 2) (* t y)))) y)) (/ (log (* -1 z)) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* -1 (/ x t)) (* -1 (/ (+ (* -1/2 (/ (pow x 2) t)) (* 1/3 (/ (pow x 3) (* t y)))) y))) y)) (/ (log (* -1 z)) t)))
(/ (log (* y z)) t)
(+ (/ x (* t y)) (/ (log (* y z)) t))
(+ (* x (+ (* -1/2 (/ x (* t (pow y 2)))) (/ 1 (* t y)))) (/ (log (* y z)) t))
(+ (* x (+ (* x (- (* 1/3 (/ x (* t (pow y 3)))) (* 1/2 (/ 1 (* t (pow y 2)))))) (/ 1 (* t y)))) (/ (log (* y z)) t))
(/ (+ (log z) (* -1 (log (/ 1 x)))) t)
(+ (* -1 (/ (log (/ 1 x)) t)) (+ (/ y (* t x)) (/ (log z) t)))
(+ (* -1 (/ (log (/ 1 x)) t)) (+ (* -1/2 (/ (pow y 2) (* t (pow x 2)))) (+ (/ y (* t x)) (/ (log z) t))))
(+ (* -1 (/ (log (/ 1 x)) t)) (+ (* -1/2 (/ (pow y 2) (* t (pow x 2)))) (+ (* 1/3 (/ (pow y 3) (* t (pow x 3)))) (+ (/ y (* t x)) (/ (log z) t)))))
(/ (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t)
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ y (* t x)) (/ (log (* -1 z)) t)))
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* 1/2 (/ (pow y 2) (* t x)))) x)) (/ (log (* -1 z)) t)))
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) t)) (* 1/3 (/ (pow y 3) (* t x)))) x))) x)) (/ (log (* -1 z)) t)))
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 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 (* 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) (- 1/4 (pow a 2))) (+ 1/2 a))
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))
(* 1/4 (log t))
(+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))
(+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))
(+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))
(* -1 (* (pow a 2) (log t)))
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))
(* -1 (* (pow a 2) (log t)))
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))
(* (log t) (- 1/4 (pow a 2)))
(* (log t) (- 1/4 (pow a 2)))
(* (log t) (- 1/4 (pow a 2)))
(* (log t) (- 1/4 (pow a 2)))
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))
(+ (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))))
(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 (* 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))))
(* -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 x) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))
(+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 x)))
(+ (log x) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ y x))))
(+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (+.f64 (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (/.f64 y x)) (log.f64 x)))
(+ (log x) (+ (* t (- (/ (log z) t) 1)) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2)))))
(+.f64 (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 x))) (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
(+ (log x) (+ (* t (- (/ (log z) t) 1)) (+ (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (* (log t) (- a 1/2)))))
(+.f64 (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 x))) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))))
(+ (* -1 (log (/ 1 y))) (+ (* t (- (/ (log z) t) 1)) (* (log t) (- a 1/2))))
(+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y)))
(+ (* -1 (log (/ 1 y))) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ x y))))
(+.f64 (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) (+.f64 (log.f64 y) (/.f64 x y)))
(+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* t (- (/ (log z) t) 1)) (+ (* (log t) (- a 1/2)) (/ x y)))))
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(*.f64 a (*.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) #s(literal -1 binary64)))
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(*.f64 a (*.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) #s(literal -1 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)))
(* (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 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))))

eval164.0ms (1.1%)

Compiler

Compiled 33842 to 2507 computations (92.6% saved)

prune212.0ms (1.4%)

Pruning

36 alts after pruning (34 fresh and 2 done)

PrunedKeptTotal
New1237151252
Fresh91928
Picked325
Done000
Total1249361285
Accuracy
100.0%
Counts
1285 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.0%
(fma.f64 (/.f64 (log.f64 (+.f64 y x)) t) t (+.f64 (log.f64 z) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))
39.0%
(fma.f64 (/.f64 (log.f64 (+.f64 y x)) t) t (*.f64 (log.f64 t) a))
44.4%
(fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))
47.9%
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x))))) t (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
52.1%
(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 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))))
35.6%
(/.f64 (-.f64 (pow.f64 (*.f64 a (log.f64 t)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 t (*.f64 a (log.f64 t))))
12.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
20.4%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
12.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
20.4%
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
78.3%
(-.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
58.2%
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t)
57.8%
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
73.5%
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
26.8%
(-.f64 (-.f64 (log.f64 (*.f64 z x)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
18.4%
(-.f64 (-.f64 (log.f64 (*.f64 x z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
73.5%
(-.f64 (*.f64 (log.f64 t) a) t)
73.1%
(-.f64 (*.f64 a (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) a) (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)))) t)
73.1%
(+.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))))
77.7%
(+.f64 (*.f64 t (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) (*.f64 t t))) t (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 y x)) t)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
88.6%
(+.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 y x)))
76.2%
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
61.3%
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
39.1%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
63.7%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (-.f64 (/.f64 (log.f64 z) t) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) t))))))
28.3%
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (*.f64 a (/.f64 (log.f64 t) t))))
42.6%
(+.f64 (log.f64 (+.f64 x y)) (neg.f64 t))
61.4%
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (+.f64 x y))))
12.1%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
20.4%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t))
35.9%
(*.f64 (log.f64 t) a)
62.8%
(*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64)))
53.9%
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 t (+.f64 a #s(literal 1/2 binary64)))))))
65.0%
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))))
59.3%
(*.f64 a (-.f64 (log.f64 t) (/.f64 t a)))
38.9%
(neg.f64 t)
Compiler

Compiled 1414 to 984 computations (30.4% saved)

simplify232.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (+.f64 x y))
cost-diff0
(log.f64 (*.f64 z (+.f64 x y)))
cost-diff0
(/.f64 (log.f64 (*.f64 z (+.f64 x y))) t)
cost-diff6528
(fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))
cost-diff0
(*.f64 z y)
cost-diff0
(log.f64 (*.f64 z y))
cost-diff0
(-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64))))
cost-diff0
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
cost-diff0
(/.f64 t a)
cost-diff0
(log.f64 t)
cost-diff0
(-.f64 (log.f64 t) (/.f64 t a))
cost-diff128
(*.f64 a (-.f64 (log.f64 t) (/.f64 t a)))
cost-diff0
(*.f64 t t)
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 t t))
cost-diff256
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
cost-diff0
(-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))
cost-diff0
(+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))))
cost-diff384
(*.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))))))
cost-diff384
(+.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 y x)))
Rules
3068×*-lowering-*.f32
3068×*-lowering-*.f64
2000×+-lowering-+.f64
2000×+-lowering-+.f32
1438×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
045268
1105267
2237257
3715254
42297240
08770240
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* t (+ -1 (- (/ (log z) t) (/ (log t) (/ t (- 1/2 a)))))) (log (+ y x)))
(* t (+ -1 (- (/ (log z) t) (/ (log t) (/ t (- 1/2 a))))))
t
(+ -1 (- (/ (log z) t) (/ (log t) (/ t (- 1/2 a)))))
-1
(- (/ (log z) t) (/ (log t) (/ t (- 1/2 a))))
(/ (log z) t)
(log z)
z
(/ (log t) (/ t (- 1/2 a)))
(log t)
(/ t (- 1/2 a))
(- 1/2 a)
1/2
a
(log (+ y x))
(+ y x)
y
x
(/ (- 0 (* t t)) t)
(- 0 (* t t))
0
(* t t)
t
(* a (- (log t) (/ t a)))
a
(- (log t) (/ t a))
(log t)
t
(/ t a)
(- (- (log (* z y)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))) t)
(- (log (* z y)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2)))
(log (* z y))
(* z y)
z
y
(/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))
(* (- 1/4 (* a a)) (log t))
(- 1/4 (* a a))
1/4
(* a a)
a
(log t)
t
(+ a 1/2)
1/2
(+ (* (/ (log (* z (+ x y))) t) t) (* (+ a -1/2) (log t)))
(/ (log (* z (+ x y))) t)
(log (* z (+ x y)))
(* z (+ x y))
z
(+ x y)
x
y
t
(* (+ a -1/2) (log t))
(+ a -1/2)
a
-1/2
(log t)
Outputs
(+ (* t (+ -1 (- (/ (log z) t) (/ (log t) (/ t (- 1/2 a)))))) (log (+ y x)))
(+.f64 (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) t)) (log.f64 (+.f64 y x)))
(* t (+ -1 (- (/ (log z) t) (/ (log t) (/ t (- 1/2 a))))))
(+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) t))
t
(+ -1 (- (/ (log z) t) (/ (log t) (/ t (- 1/2 a)))))
(+.f64 (/.f64 (log.f64 z) t) (-.f64 #s(literal -1 binary64) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))))
-1
#s(literal -1 binary64)
(- (/ (log z) t) (/ (log t) (/ t (- 1/2 a))))
(+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (+.f64 a #s(literal -1/2 binary64)))))
(/ (log z) t)
(/.f64 (log.f64 z) t)
(log z)
(log.f64 z)
z
(/ (log t) (/ t (- 1/2 a)))
(/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))
(log t)
(log.f64 t)
(/ t (- 1/2 a))
(/.f64 t (-.f64 #s(literal 1/2 binary64) a))
(- 1/2 a)
(-.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(log (+ y x))
(log.f64 (+.f64 y x))
(+ y x)
(+.f64 y x)
y
x
(/ (- 0 (* t t)) t)
(-.f64 #s(literal 0 binary64) t)
(- 0 (* t t))
(-.f64 #s(literal 0 binary64) (*.f64 t t))
0
#s(literal 0 binary64)
(* t t)
(*.f64 t t)
t
(* a (- (log t) (/ t a)))
(-.f64 (*.f64 (log.f64 t) a) t)
a
(- (log t) (/ t a))
(-.f64 (log.f64 t) (/.f64 t a))
(log t)
(log.f64 t)
t
(/ t a)
(/.f64 t a)
(- (- (log (* z y)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))) t)
(+.f64 (/.f64 (*.f64 (log.f64 t) (+.f64 (*.f64 a a) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/2 binary64) a)) (-.f64 (log.f64 (*.f64 z y)) t))
(- (log (* z y)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2)))
(+.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (log.f64 t) (+.f64 (*.f64 a a) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/2 binary64) a)))
(log (* z y))
(log.f64 (*.f64 z y))
(* z y)
(*.f64 z y)
z
y
(/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a)))
(* (- 1/4 (* a a)) (log t))
(*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a 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
(log t)
(log.f64 t)
t
(+ a 1/2)
(+.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
(+ (* (/ (log (* z (+ x y))) t) t) (* (+ a -1/2) (log t)))
(+.f64 (log.f64 (*.f64 z (+.f64 y x))) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
(/ (log (* z (+ x y))) t)
(/.f64 (log.f64 (*.f64 z (+.f64 y x))) t)
(log (* z (+ x y)))
(log.f64 (*.f64 z (+.f64 y x)))
(* z (+ x y))
(*.f64 z (+.f64 y x))
z
(+ x y)
(+.f64 y x)
x
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)

localize241.0ms (1.6%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))
accuracy99.5%
(/.f64 (log.f64 (*.f64 z (+.f64 x y))) t)
accuracy99.3%
(fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))
accuracy73.8%
(log.f64 (*.f64 z (+.f64 x y)))
accuracy99.9%
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t))
accuracy99.7%
(-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64))))
accuracy78.8%
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))
accuracy73.8%
(log.f64 (*.f64 z y))
accuracy100.0%
(/.f64 t a)
accuracy100.0%
(log.f64 t)
accuracy100.0%
(-.f64 (log.f64 t) (/.f64 t a))
accuracy85.4%
(*.f64 a (-.f64 (log.f64 t) (/.f64 t a)))
accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 t t))
accuracy100.0%
(*.f64 t t)
accuracy57.9%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t)
accuracy99.7%
(-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))
accuracy99.6%
(/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))
accuracy99.6%
(/.f64 (log.f64 z) t)
accuracy88.7%
(*.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))))))
Results
183.0ms256×0valid
Compiler

Compiled 286 to 45 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-log: 21.0ms (27.8% of total)
ival-mult: 17.0ms (22.5% of total)
ival-div: 13.0ms (17.2% of total)
ival-sub: 11.0ms (14.6% of total)
ival-add: 9.0ms (11.9% of total)
compiled-spec: 3.0ms (4% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series127.0ms (0.9%)

Counts
24 → 732
Calls
Call 1
Inputs
#<alt (+ (* t (+ -1 (- (/ (log z) t) (/ (log t) (/ t (- 1/2 a)))))) (log (+ y x)))>
#<alt (* t (+ -1 (- (/ (log z) t) (/ (log t) (/ t (- 1/2 a))))))>
#<alt (+ -1 (- (/ (log z) t) (/ (log t) (/ t (- 1/2 a)))))>
#<alt (- (/ (log z) t) (/ (log t) (/ t (- 1/2 a))))>
#<alt (/ (- 0 (* t t)) t)>
#<alt (- 0 (* t t))>
#<alt (* t t)>
#<alt (* a (- (log t) (/ t a)))>
#<alt (- (log t) (/ t a))>
#<alt (log t)>
#<alt (/ t a)>
#<alt (- (- (log (* z y)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))) t)>
#<alt (- (log (* z y)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2)))>
#<alt (log (* z y))>
#<alt (* z y)>
#<alt (+ (* (/ (log (* z (+ x y))) t) t) (* (+ a -1/2) (log t)))>
#<alt (/ (log (* z (+ x y))) t)>
#<alt (log (* z (+ x y)))>
#<alt (* z (+ x y))>
#<alt (/ (log z) t)>
#<alt (/ (log t) (/ t (- 1/2 a)))>
#<alt (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))>
#<alt (* (- 1/4 (* a a)) (log t))>
#<alt (* (+ a -1/2) (log t))>
Outputs
#<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)>
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#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* -1 (/ x t)) (* -1 (/ (+ (* -1/2 (/ (pow x 2) t)) (* 1/3 (/ (pow x 3) (* t y)))) y))) y)) (/ (log (* -1 z)) t)))>
#<alt (/ (log (* z (+ x y))) t)>
#<alt (/ (log (* z (+ x y))) t)>
#<alt (/ (log (* z (+ x y))) t)>
#<alt (/ (log (* z (+ x y))) t)>
#<alt (/ (log (* z (+ x y))) t)>
#<alt (/ (log (* z (+ x y))) t)>
#<alt (/ (log (* z (+ x y))) t)>
#<alt (/ (log (* z (+ x y))) t)>
#<alt (/ (log (* z (+ x y))) t)>
#<alt (/ (log (* z (+ x y))) t)>
#<alt (/ (log (* z (+ x y))) t)>
#<alt (/ (log (* z (+ x y))) t)>
#<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 (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 (* 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 (* 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 (/ (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 (/ (* (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 (* 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))) (* 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) (- 1/4 (pow a 2))) (+ 1/2 a))>
#<alt (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))>
#<alt (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))>
#<alt (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))>
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))>
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))>
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))>
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))>
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))>
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))>
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))>
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))>
#<alt (* 1/4 (log t))>
#<alt (+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))>
#<alt (+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))>
#<alt (+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))>
#<alt (* -1 (* (pow a 2) (log t)))>
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))>
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))>
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))>
#<alt (* -1 (* (pow a 2) (log t)))>
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))>
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))>
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))>
#<alt (* (log t) (- 1/4 (pow a 2)))>
#<alt (* (log t) (- 1/4 (pow a 2)))>
#<alt (* (log t) (- 1/4 (pow a 2)))>
#<alt (* (log t) (- 1/4 (pow a 2)))>
#<alt (* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))>
#<alt (* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))>
#<alt (* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))>
#<alt (* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 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) (- 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

183 calls:

TimeVariablePointExpression
18.0ms
z
@0
(- (- (log (* z y)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))) t)
17.0ms
z
@-inf
(- (- (log (* z y)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))) t)
14.0ms
y
@-inf
(- (- (log (* z y)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))) t)
13.0ms
y
@0
(- (- (log (* z y)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))) t)
11.0ms
t
@0
(- (log (* z y)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2)))

rewrite349.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
2952×fma-lowering-fma.f32
2952×fma-lowering-fma.f64
2916×*-lowering-*.f32
2916×*-lowering-*.f64
1918×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045207
1318192
23156186
08530186
Stop Event
iter limit
node limit
Counts
24 → 481
Calls
Call 1
Inputs
(+ (* t (+ -1 (- (/ (log z) t) (/ (log t) (/ t (- 1/2 a)))))) (log (+ y x)))
(* t (+ -1 (- (/ (log z) t) (/ (log t) (/ t (- 1/2 a))))))
(+ -1 (- (/ (log z) t) (/ (log t) (/ t (- 1/2 a)))))
(- (/ (log z) t) (/ (log t) (/ t (- 1/2 a))))
(/ (- 0 (* t t)) t)
(- 0 (* t t))
(* t t)
(* a (- (log t) (/ t a)))
(- (log t) (/ t a))
(log t)
(/ t a)
(- (- (log (* z y)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))) t)
(- (log (* z y)) (/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2)))
(log (* z y))
(* z y)
(+ (* (/ (log (* z (+ x y))) t) t) (* (+ a -1/2) (log t)))
(/ (log (* z (+ x y))) t)
(log (* z (+ x y)))
(* z (+ x y))
(/ (log z) t)
(/ (log t) (/ t (- 1/2 a)))
(/ (* (- 1/4 (* a a)) (log t)) (+ a 1/2))
(* (- 1/4 (* a a)) (log t))
(* (+ a -1/2) (log t))
Outputs
(+.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 y x)))
(+.f64 (log.f64 (+.f64 y x)) (*.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 0 binary64) t) (+.f64 (*.f64 t (-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))) (log.f64 (+.f64 y x))))
(+.f64 (+.f64 (log.f64 (+.f64 y x)) (-.f64 #s(literal 0 binary64) t)) (*.f64 t (-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))))
(-.f64 (/.f64 (pow.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)))))) #s(literal 2 binary64)) (-.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 y x)))) (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (-.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 y x)))))
(fma.f64 t #s(literal -1 binary64) (+.f64 (*.f64 t (-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))) (log.f64 (+.f64 y x))))
(fma.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 y x)))
(fma.f64 #s(literal -1 binary64) t (+.f64 (*.f64 t (-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))) (log.f64 (+.f64 y x))))
(fma.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 (log.f64 (+.f64 y x)))
(/.f64 (+.f64 (pow.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)))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.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)))))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 (+.f64 y x)) (*.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 (pow.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)))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.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)))))) #s(literal 2 binary64)) (*.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 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.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)))))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 (+.f64 y x)) (*.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 (pow.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)))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)))))
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(/.f64 (/.f64 (log.f64 t) t) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) a)))
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)))) (*.f64 t (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a)))))
(/.f64 (*.f64 (log.f64 t) #s(literal 1 binary64)) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (/.f64 t (-.f64 #s(literal 1/2 binary64) a)))
(/.f64 (*.f64 (/.f64 (log.f64 t) t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a))
(/.f64 (*.f64 (/.f64 (log.f64 t) 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))))
(pow.f64 (/.f64 (/.f64 t (-.f64 #s(literal 1/2 binary64) a)) (log.f64 t)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 t (-.f64 #s(literal 1/2 binary64) a)) (log.f64 t)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))
(*.f64 (-.f64 #s(literal 1/2 binary64) a) (/.f64 (log.f64 t) t))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 t)) (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) a)))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 t) (/.f64 t (-.f64 #s(literal 1/2 binary64) a))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) a) t) (log.f64 t))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) a) t) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 t)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 t)) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 t) t) (-.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (log.f64 t) (-.f64 #s(literal 0 binary64) t)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 (log.f64 t) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (log.f64 t))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) a))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (log.f64 t)) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/2 binary64) a)))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (log.f64 t)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 a a)) (+.f64 #s(literal 1/2 binary64) a)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (log.f64 t)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a))) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a)))
(*.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 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (log.f64 t))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) a))))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) a)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) a)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a)) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.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 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 (*.f64 a a) #s(literal -1/4 binary64))) (+.f64 a #s(literal -1/2 binary64)))
(+.f64 (*.f64 (log.f64 t) #s(literal 1/4 binary64)) (*.f64 (log.f64 t) (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 t)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (log.f64 t)))
(fma.f64 (log.f64 t) #s(literal 1/4 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(fma.f64 #s(literal 1/4 binary64) (log.f64 t) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (log.f64 t)))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (log.f64 t)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 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 (log.f64 t) (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))
(*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t))
(+.f64 (*.f64 (log.f64 t) a) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 a (log.f64 t)) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) (*.f64 a (log.f64 t)))
(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 (log.f64 t) a))
(fma.f64 a (log.f64 t) (*.f64 #s(literal -1/2 binary64) (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 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/2 binary64))))
(/.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 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/4 binary64)) (log.f64 t)) (+.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))

simplify429.0ms (2.9%)

Algorithm
egg-herbie
Rules
4204×+-lowering-+.f64
4204×+-lowering-+.f32
3244×*-lowering-*.f32
3244×*-lowering-*.f64
2076×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06879767
122268684
276418662
080288662
Stop Event
iter limit
node limit
Counts
732 → 732
Calls
Call 1
Inputs
(- (+ (log z) (log (+ x y))) (* (log t) (- 1/2 a)))
(- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a)))
(- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a)))
(- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a)))
(* -1 t)
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ (+ (log (+ x y)) (* -1 (- (* -1 (log z)) (* -1 (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)))))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (log (+ x y)) (* -1 (- (* -1 (log z)) (* -1 (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)))))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (log (+ x y)) (* -1 (- (* -1 (log z)) (* -1 (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)))))) t)))))
(+ (log (+ x y)) (* 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)) (* 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)) (* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))
(+ (log (+ x y)) (* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))
(+ (log (+ x y)) (* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))
(+ (log (+ x y)) (* t (- (* -1 (/ (log (/ 1 z)) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))
(+ (log (+ x y)) (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))
(+ (log (+ x y)) (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))
(+ (log (+ x y)) (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))
(+ (log (+ x y)) (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (/ (log -1) t)) (+ 1 (/ (* (log t) (- 1/2 a)) t)))))
(+ (log (+ x y)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))))
(+ (log (+ x y)) (+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))))
(+ (log (+ x y)) (+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))))
(+ (log (+ x y)) (+ (* a (log t)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))))
(* a (log t))
(* a (+ (log t) (+ (/ (log (+ x y)) a) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a))))
(* a (+ (log t) (+ (/ (log (+ x y)) a) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a))))
(* a (+ (log t) (+ (/ (log (+ x y)) a) (/ (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t))))) a))))
(* a (log t))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (* t (- (/ (log z) t) (+ 1 (* 1/2 (/ (log t) t)))))) a)))))
(+ (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))))
(+ (* -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)))))
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t))))))
(+ (log -1) (+ (* -1 (log (/ -1 y))) (+ (* t (- (/ (log z) t) (+ 1 (/ (* (log t) (- 1/2 a)) t)))) (/ x y))))
(+ (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)))))))
(+ (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)))))))
(+ (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 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)))
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(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))
(+ (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 t) (- a 1/2)))))
(+ (log (* x z)) (* (log t) (- a 1/2)))
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(+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* (log t) (- a 1/2)))))
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(+ (log (* z (+ x y))) (* (log t) (- a 1/2)))
(+ (log (* z (+ x y))) (* (log t) (- a 1/2)))
(+ (log (* z (+ x y))) (* (log t) (- a 1/2)))
(+ (log (* z (+ x y))) (* -1 (* (log (/ 1 t)) (- a 1/2))))
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(+ (log (* z (+ x y))) (* -1 (* (log (/ 1 t)) (- a 1/2))))
(+ (log (* z (+ x y))) (* -1 (* (log (/ 1 t)) (- a 1/2))))
(+ (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))
(+ (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))
(+ (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))
(+ (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))
(+ (log (* z (+ x y))) (* -1/2 (log t)))
(+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t))))
(+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t))))
(+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t))))
(* a (log t))
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))))
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))))
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))))
(* a (log t))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (* z (+ x y))) (* -1/2 (log t))) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (* z (+ x y))) (* -1/2 (log t))) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (* z (+ x y))) (* -1/2 (log t))) a)))))
(/ (+ (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 (+ x y))) (* -1 (log (/ -1 z)))) t)
(/ (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) t)
(/ (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) t)
(/ (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) t)
(/ (log (* y z)) t)
(+ (/ x (* t y)) (/ (log (* y z)) t))
(+ (* x (+ (* -1/2 (/ x (* t (pow y 2)))) (/ 1 (* t y)))) (/ (log (* y z)) t))
(+ (* x (+ (* x (- (* 1/3 (/ x (* t (pow y 3)))) (* 1/2 (/ 1 (* t (pow y 2)))))) (/ 1 (* t y)))) (/ (log (* y z)) t))
(/ (+ (log z) (* -1 (log (/ 1 x)))) t)
(+ (* -1 (/ (log (/ 1 x)) t)) (+ (/ y (* t x)) (/ (log z) t)))
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(+ (* -1 (/ (log (/ 1 x)) t)) (+ (* -1/2 (/ (pow y 2) (* t (pow x 2)))) (+ (* 1/3 (/ (pow y 3) (* t (pow x 3)))) (+ (/ y (* t x)) (/ (log z) t)))))
(/ (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t)
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ y (* t x)) (/ (log (* -1 z)) t)))
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* 1/2 (/ (pow y 2) (* t x)))) x)) (/ (log (* -1 z)) t)))
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) t)) (* 1/3 (/ (pow y 3) (* t x)))) x))) x)) (/ (log (* -1 z)) t)))
(/ (log (* x z)) t)
(+ (/ y (* t x)) (/ (log (* x z)) t))
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(+ (* y (+ (* y (- (* 1/3 (/ y (* t (pow x 3)))) (* 1/2 (/ 1 (* t (pow x 2)))))) (/ 1 (* t x)))) (/ (log (* x z)) t))
(/ (+ (log z) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ x (* t y)) (/ (log z) t)))
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (* -1/2 (/ (pow x 2) (* t (pow y 2)))) (+ (/ x (* t y)) (/ (log z) t))))
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (* -1/2 (/ (pow x 2) (* t (pow y 2)))) (+ (* 1/3 (/ (pow x 3) (* t (pow y 3)))) (+ (/ x (* t y)) (/ (log z) t)))))
(/ (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) t)
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ x (* t y)) (/ (log (* -1 z)) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* -1 (/ x t)) (* 1/2 (/ (pow x 2) (* t y)))) y)) (/ (log (* -1 z)) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* -1 (/ x t)) (* -1 (/ (+ (* -1/2 (/ (pow x 2) t)) (* 1/3 (/ (pow x 3) (* t y)))) y))) y)) (/ (log (* -1 z)) t)))
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(/ (log (* z (+ x y))) t)
(+ (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))))
(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))))
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(+ (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))))
(* 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))
(* 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)))))
(/ (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)
(/ (* (log t) (- 1/2 a)) t)
(/ (* (log t) (- 1/2 a)) t)
(/ (* (log t) (- 1/2 a)) t)
(/ (* (log t) (- 1/2 a)) t)
(* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))
(* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))
(* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))
(* -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)) 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))))
(* 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)))
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(* 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) (- 1/4 (pow a 2))) (+ 1/2 a))
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))
(* 1/4 (log t))
(+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))
(+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))
(+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))
(* -1 (* (pow a 2) (log t)))
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))
(* -1 (* (pow a 2) (log t)))
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))
(* (log t) (- 1/4 (pow a 2)))
(* (log t) (- 1/4 (pow a 2)))
(* (log t) (- 1/4 (pow a 2)))
(* (log t) (- 1/4 (pow a 2)))
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))
(* -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 z) (log (+ x y))) (* (log t) (- 1/2 a)))
(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))
(- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a)))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))
(- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a)))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))
(- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a)))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (-.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) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 x y)) t) (-.f64 (/.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) t) #s(literal 1 binary64))))
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 x y)) t) (-.f64 (/.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) t) #s(literal 1 binary64))))
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))
(*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 x y)) t) (-.f64 (/.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) t) #s(literal 1 binary64))))
(* -1 t)
(-.f64 #s(literal 0 binary64) t)
(* -1 (* t (+ 1 (* -1 (/ (+ (log (+ x y)) (* -1 (- (* -1 (log z)) (* -1 (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)))))) t)))))
(*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (*.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 (+ x y)) (* -1 (- (* -1 (log z)) (* -1 (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)))))) t)))))
(*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (*.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 (+ x y)) (* -1 (- (* -1 (log z)) (* -1 (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)))))) t)))))
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eval212.0ms (1.4%)

Compiler

Compiled 28755 to 2539 computations (91.2% saved)

prune212.0ms (1.4%)

Pruning

46 alts after pruning (43 fresh and 3 done)

PrunedKeptTotal
New1226261252
Fresh121729
Picked415
Done022
Total1242461288
Accuracy
100.0%
Counts
1288 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.0%
(fma.f64 (/.f64 (log.f64 (+.f64 y x)) t) t (+.f64 (log.f64 z) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))
20.4%
(fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
47.9%
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x))))) t (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
52.1%
(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 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))))
4.0%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t)))) t)
8.8%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t t)) t)
35.6%
(/.f64 (-.f64 (pow.f64 (*.f64 a (log.f64 t)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 t (*.f64 a (log.f64 t))))
3.9%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))
12.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t))
18.9%
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)))) t)
38.7%
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (/.f64 (*.f64 t t) (*.f64 a a))) a) (+.f64 (log.f64 t) (/.f64 t a)))
4.0%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) t)
8.8%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) t)) (*.f64 t t))
20.4%
(/.f64 (neg.f64 (*.f64 t t)) t)
12.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t)))))
20.4%
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t))))
78.3%
(-.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
41.4%
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) a))) (+.f64 a #s(literal 1/2 binary64)))) t)
73.5%
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) t)
58.2%
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a)) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t)
48.2%
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) #s(literal 1/2 binary64))) t)
18.4%
(-.f64 (-.f64 (log.f64 (*.f64 x z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
73.5%
(-.f64 (*.f64 (log.f64 t) a) t)
73.1%
(-.f64 (*.f64 a (+.f64 (/.f64 (log.f64 (*.f64 z y)) a) (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)))) t)
31.9%
(-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a)))
61.3%
(+.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) (log.f64 (+.f64 y x)))
73.1%
(+.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))))
14.1%
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z x)))
39.1%
(+.f64 (*.f64 (log.f64 t) a) (log.f64 (+.f64 y x)))
77.7%
(+.f64 (*.f64 t (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) (*.f64 t t))) t (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 y x)) t)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
63.7%
(+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)))) (log.f64 (+.f64 y x)))
76.2%
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
42.6%
(+.f64 (log.f64 (+.f64 x y)) (neg.f64 t))
44.8%
(+.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
61.2%
(+.f64 (log.f64 z) (+.f64 (log.f64 y) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))
20.4%
(*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 t t)))
12.1%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
35.9%
(*.f64 (log.f64 t) a)
53.9%
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 t (+.f64 a #s(literal 1/2 binary64)))))))
65.0%
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))))
62.7%
(*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 a (/.f64 (log.f64 t) t))))
59.3%
(*.f64 a (/.f64 (-.f64 (*.f64 (log.f64 t) a) t) a))
24.8%
(*.f64 a (/.f64 t (-.f64 #s(literal 0 binary64) a)))
59.3%
(*.f64 a (-.f64 (log.f64 t) (/.f64 t a)))
59.2%
(*.f64 a (*.f64 t (+.f64 (/.f64 (log.f64 t) t) (/.f64 #s(literal -1 binary64) a))))
38.9%
(neg.f64 t)
Compiler

Compiled 2567 to 977 computations (61.9% saved)

regimes335.0ms (2.3%)

Counts
91 → 1
Calls
Call 1
Inputs
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 (neg.f64 (*.f64 t t)) t)
(*.f64 a (/.f64 t (-.f64 #s(literal 0 binary64) a)))
(/.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 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 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)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t t)) t)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) t)) (*.f64 t t))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t)))) t)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) t)
(*.f64 (log.f64 t) a)
(-.f64 (*.f64 (log.f64 t) a) t)
(+.f64 (log.f64 (+.f64 x y)) (neg.f64 t))
(*.f64 a (-.f64 (log.f64 t) (/.f64 t a)))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(*.f64 a (/.f64 (-.f64 (*.f64 (log.f64 t) a) t) a))
(*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 a (/.f64 (log.f64 t) t))))
(*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(*.f64 a (*.f64 t (+.f64 (/.f64 (log.f64 t) t) (/.f64 #s(literal -1 binary64) a))))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 (+.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)))) t)
(+.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z x)))
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) #s(literal 1/2 binary64))) t)
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (*.f64 a (/.f64 (log.f64 t) t))))
(-.f64 (-.f64 (log.f64 (*.f64 z x)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a)))
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) t)
(-.f64 (-.f64 (log.f64 (*.f64 x z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a)) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t)
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) a))) (+.f64 a #s(literal 1/2 binary64)))) t)
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))))
(+.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t)
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
(*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (log.f64 t) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))))
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 t (+.f64 a #s(literal 1/2 binary64)))))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 a #s(literal 1/2 binary64)))))) t)
(+.f64 (log.f64 z) (+.f64 (log.f64 y) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (log.f64 (+.f64 y x)) t) t (*.f64 (log.f64 t) a))
(+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (+.f64 x y))))
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(+.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) (log.f64 (+.f64 y x)))
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(+.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)))
(fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))
(/.f64 (-.f64 (pow.f64 (*.f64 a (log.f64 t)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 t (*.f64 a (log.f64 t))))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x))))) t (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(+.f64 (log.f64 (+.f64 x y)) (*.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 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)))) (log.f64 (+.f64 y x)))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (*.f64 t (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))
(-.f64 (*.f64 a (+.f64 (/.f64 (log.f64 (*.f64 z y)) a) (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)))) t)
(-.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x))))) t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (/.f64 (*.f64 t t) (*.f64 a a))) a) (+.f64 (log.f64 t) (/.f64 t a)))
(+.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 y x)))
(+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (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)))
(-.f64 (*.f64 a (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) a) (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #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) (log.f64 t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(-.f64 (*.f64 a (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) a) (+.f64 (*.f64 (log.f64 t) #s(literal -1 binary64)) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)))) t)
(*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a)))))))
(fma.f64 (/.f64 (log.f64 (+.f64 y x)) t) t (+.f64 (log.f64 z) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))
(fma.f64 (/.f64 (log.f64 (+.f64 y x)) t) t (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))
(+.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 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (-.f64 (+.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (/.f64 t a)) (log.f64 t)))))
(+.f64 (*.f64 t (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) (*.f64 t t))) t (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 y x)) t)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(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)))) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
(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 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 t (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(/.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 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)))) (*.f64 (/.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t))) (+.f64 #s(literal 1/2 binary64) a)))
(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 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)) (*.f64 (log.f64 (/.f64 z (+.f64 x y))) (-.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (*.f64 t t)))) (*.f64 (log.f64 (/.f64 z (+.f64 x y))) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))
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

11 calls:

67.0ms
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
28.0ms
(log.f64 (+.f64 x y))
27.0ms
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
26.0ms
(log.f64 z)
25.0ms
a
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
99.6%1t
99.6%1a
99.6%1(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
99.6%1(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
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 95 to 75 computations (21.1% saved)

regimes210.0ms (1.4%)

Counts
58 → 2
Calls
Call 1
Inputs
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 (neg.f64 (*.f64 t t)) t)
(*.f64 a (/.f64 t (-.f64 #s(literal 0 binary64) a)))
(/.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 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 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)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t t)) t)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) t)) (*.f64 t t))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t)))) t)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) t)
(*.f64 (log.f64 t) a)
(-.f64 (*.f64 (log.f64 t) a) t)
(+.f64 (log.f64 (+.f64 x y)) (neg.f64 t))
(*.f64 a (-.f64 (log.f64 t) (/.f64 t a)))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(*.f64 a (/.f64 (-.f64 (*.f64 (log.f64 t) a) t) a))
(*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 a (/.f64 (log.f64 t) t))))
(*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(*.f64 a (*.f64 t (+.f64 (/.f64 (log.f64 t) t) (/.f64 #s(literal -1 binary64) a))))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 (+.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)))) t)
(+.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z x)))
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) #s(literal 1/2 binary64))) t)
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (*.f64 a (/.f64 (log.f64 t) t))))
(-.f64 (-.f64 (log.f64 (*.f64 z x)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a)))
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) t)
(-.f64 (-.f64 (log.f64 (*.f64 x z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a)) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t)
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) a))) (+.f64 a #s(literal 1/2 binary64)))) t)
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))))
(+.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t)
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
(*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (log.f64 t) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))))
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 t (+.f64 a #s(literal 1/2 binary64)))))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 a #s(literal 1/2 binary64)))))) t)
(+.f64 (log.f64 z) (+.f64 (log.f64 y) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (log.f64 (+.f64 y x)) t) t (*.f64 (log.f64 t) a))
(+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))
(+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (+.f64 x y))))
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))
(+.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) (log.f64 (+.f64 y x)))
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(fma.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) t (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
Outputs
(+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))
(-.f64 (*.f64 (log.f64 t) a) t)
Calls

9 calls:

64.0ms
y
20.0ms
(+.f64 x y)
19.0ms
(log.f64 (+.f64 x y))
18.0ms
z
17.0ms
(log.f64 z)
Results
AccuracySegmentsBranch
82.7%2y
82.7%2(log.f64 (+.f64 x y))
82.7%2(+.f64 x y)
82.0%4x
87.9%3z
98.9%2t
86.0%3a
87.9%3(log.f64 z)
85.7%3(-.f64 a #s(literal 1/2 binary64))
Compiler

Compiled 62 to 51 computations (17.7% saved)

regimes45.0ms (0.3%)

Counts
52 → 2
Calls
Call 1
Inputs
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 (neg.f64 (*.f64 t t)) t)
(*.f64 a (/.f64 t (-.f64 #s(literal 0 binary64) a)))
(/.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 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 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)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t t)) t)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) t)) (*.f64 t t))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t)))) t)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) t)
(*.f64 (log.f64 t) a)
(-.f64 (*.f64 (log.f64 t) a) t)
(+.f64 (log.f64 (+.f64 x y)) (neg.f64 t))
(*.f64 a (-.f64 (log.f64 t) (/.f64 t a)))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(*.f64 a (/.f64 (-.f64 (*.f64 (log.f64 t) a) t) a))
(*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 a (/.f64 (log.f64 t) t))))
(*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(*.f64 a (*.f64 t (+.f64 (/.f64 (log.f64 t) t) (/.f64 #s(literal -1 binary64) a))))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 (+.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)))) t)
(+.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z x)))
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) #s(literal 1/2 binary64))) t)
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (*.f64 a (/.f64 (log.f64 t) t))))
(-.f64 (-.f64 (log.f64 (*.f64 z x)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a)))
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) t)
(-.f64 (-.f64 (log.f64 (*.f64 x z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a)) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t)
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) a))) (+.f64 a #s(literal 1/2 binary64)))) t)
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))))
(+.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t)
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
(*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (log.f64 t) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))))
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 t (+.f64 a #s(literal 1/2 binary64)))))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 a #s(literal 1/2 binary64)))))) t)
(+.f64 (log.f64 z) (+.f64 (log.f64 y) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (log.f64 (+.f64 y x)) t) t (*.f64 (log.f64 t) a))
Outputs
(+.f64 (log.f64 z) (+.f64 (log.f64 y) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))
(-.f64 (*.f64 (log.f64 t) a) t)
Calls

1 calls:

39.0ms
t
Results
AccuracySegmentsBranch
98.8%2t
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes24.0ms (0.2%)

Counts
50 → 2
Calls
Call 1
Inputs
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 (neg.f64 (*.f64 t t)) t)
(*.f64 a (/.f64 t (-.f64 #s(literal 0 binary64) a)))
(/.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 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 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)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t t)) t)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) t)) (*.f64 t t))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t)))) t)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) t)
(*.f64 (log.f64 t) a)
(-.f64 (*.f64 (log.f64 t) a) t)
(+.f64 (log.f64 (+.f64 x y)) (neg.f64 t))
(*.f64 a (-.f64 (log.f64 t) (/.f64 t a)))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(*.f64 a (/.f64 (-.f64 (*.f64 (log.f64 t) a) t) a))
(*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 a (/.f64 (log.f64 t) t))))
(*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(*.f64 a (*.f64 t (+.f64 (/.f64 (log.f64 t) t) (/.f64 #s(literal -1 binary64) a))))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 (+.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)))) t)
(+.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 z x)))
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) #s(literal 1/2 binary64))) t)
(+.f64 (log.f64 (+.f64 x y)) (*.f64 t (*.f64 a (/.f64 (log.f64 t) t))))
(-.f64 (-.f64 (log.f64 (*.f64 z x)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t)
(-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a)))
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) t)
(-.f64 (-.f64 (log.f64 (*.f64 x z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a)) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t)
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) a))) (+.f64 a #s(literal 1/2 binary64)))) t)
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))))
(+.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z (+.f64 y x)))))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t)
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) t)
(*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (log.f64 t) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t))))))
(*.f64 t (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 t (+.f64 a #s(literal 1/2 binary64)))))))
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 a #s(literal 1/2 binary64)))))) t)
Outputs
(+.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Calls

1 calls:

18.0ms
t
Results
AccuracySegmentsBranch
87.5%2t
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes81.0ms (0.6%)

Counts
30 → 1
Calls
Call 1
Inputs
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 (neg.f64 (*.f64 t t)) t)
(*.f64 a (/.f64 t (-.f64 #s(literal 0 binary64) a)))
(/.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 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 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)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t t)) t)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) t)) (*.f64 t t))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t)))) t)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) t)
(*.f64 (log.f64 t) a)
(-.f64 (*.f64 (log.f64 t) a) t)
(+.f64 (log.f64 (+.f64 x y)) (neg.f64 t))
(*.f64 a (-.f64 (log.f64 t) (/.f64 t a)))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(*.f64 a (/.f64 (-.f64 (*.f64 (log.f64 t) a) t) a))
(*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 a (/.f64 (log.f64 t) t))))
(*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(*.f64 a (*.f64 t (+.f64 (/.f64 (log.f64 t) t) (/.f64 #s(literal -1 binary64) a))))
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (log.f64 (+.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)))) t)
Outputs
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Calls

8 calls:

12.0ms
(log.f64 (+.f64 x y))
11.0ms
z
11.0ms
x
10.0ms
(-.f64 a #s(literal 1/2 binary64))
9.0ms
t
Results
AccuracySegmentsBranch
76.2%1x
76.2%1y
76.2%1(log.f64 (+.f64 x y))
76.2%1(+.f64 x y)
76.2%1(-.f64 a #s(literal 1/2 binary64))
76.2%1a
76.2%1z
76.2%1t
Compiler

Compiled 55 to 45 computations (18.2% saved)

regimes63.0ms (0.4%)

Counts
21 → 3
Calls
Call 1
Inputs
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 (neg.f64 (*.f64 t t)) t)
(*.f64 a (/.f64 t (-.f64 #s(literal 0 binary64) a)))
(/.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 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 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)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t t)) t)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) t)) (*.f64 t t))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t)))) t)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) t)
(*.f64 (log.f64 t) a)
(-.f64 (*.f64 (log.f64 t) a) t)
(+.f64 (log.f64 (+.f64 x y)) (neg.f64 t))
(*.f64 a (-.f64 (log.f64 t) (/.f64 t a)))
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
Outputs
(-.f64 (*.f64 (log.f64 t) a) t)
(+.f64 (log.f64 (+.f64 x y)) (neg.f64 t))
(-.f64 (*.f64 (log.f64 t) a) t)
Calls

7 calls:

20.0ms
y
8.0ms
t
8.0ms
(+.f64 x y)
6.0ms
x
6.0ms
(log.f64 (+.f64 x y))
Results
AccuracySegmentsBranch
73.5%1t
76.8%3a
73.5%1x
73.5%1y
73.5%1z
73.5%1(log.f64 (+.f64 x y))
73.5%1(+.f64 x y)
Compiler

Compiled 47 to 38 computations (19.1% saved)

regimes7.0ms (0%)

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

1 calls:

6.0ms
a
Results
AccuracySegmentsBranch
73.5%1a
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes30.0ms (0.2%)

Counts
17 → 3
Calls
Call 1
Inputs
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)
(/.f64 (neg.f64 (*.f64 t t)) t)
(*.f64 a (/.f64 t (-.f64 #s(literal 0 binary64) a)))
(/.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 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 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)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 t t)) t)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) t)) (*.f64 t t))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 t (*.f64 t (*.f64 t t)))) t)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) t)
(*.f64 (log.f64 t) a)
Outputs
(*.f64 (log.f64 t) a)
(neg.f64 t)
(*.f64 (log.f64 t) a)
Calls

5 calls:

7.0ms
t
5.0ms
a
5.0ms
z
5.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
46.1%3x
45.7%4z
62.3%2t
44.8%4y
65.3%3a
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes56.0ms (0.4%)

Accuracy

Total -23.1b remaining (-59%)

Threshold costs -23.1b (-59%)

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

5 calls:

34.0ms
y
6.0ms
a
5.0ms
t
5.0ms
z
5.0ms
x
Results
AccuracySegmentsBranch
38.9%1y
38.9%1z
38.9%1x
38.9%1t
38.9%1a
Compiler

Compiled 30 to 25 computations (16.7% saved)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
1.6678637917306996e-22
7.90438934195499e-22
Results
11.0ms96×0valid
Compiler

Compiled 221 to 166 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-log: 3.0ms (44.5% of total)
ival-add: 2.0ms (29.7% of total)
ival-sub: 1.0ms (14.8% of total)
ival-mult: 1.0ms (14.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
1.6678637917306996e-22
7.90438934195499e-22
Results
24.0ms96×0valid
Compiler

Compiled 209 to 160 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 16.0ms (80.7% of total)
ival-add: 2.0ms (10.1% of total)
ival-sub: 1.0ms (5% of total)
ival-mult: 1.0ms (5% 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
14.0ms
2.2055525104572424e-58
5.007516749122895e-58
Results
9.0ms80×0valid
Compiler

Compiled 189 to 147 computations (22.2% 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)

bsearch49.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
0.010184407933543306
0.6615414548599096
26.0ms
-29109829.67843811
-5.3020019088353646e-8
Results
36.0ms272×0valid
Compiler

Compiled 454 to 345 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-log: 10.0ms (43.7% of total)
ival-add: 8.0ms (34.9% of total)
ival-sub: 3.0ms (13.1% of total)
ival-mult: 2.0ms (8.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
6.478997238954015e+39
3.236451744702568e+47
24.0ms
-1.4369869320958915e+41
-1.5612504380981376e+38
Results
37.0ms272×0valid
Compiler

Compiled 335 to 277 computations (17.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-log: 10.0ms (41.1% of total)
ival-add: 8.0ms (32.9% of total)
ival-sub: 4.0ms (16.4% of total)
ival-mult: 2.0ms (8.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify32.0ms (0.2%)

Algorithm
egg-herbie
Rules
324×unsub-neg_binary64
150×neg-mul-1_binary64
102×distribute-lft-neg-in_binary64
82×distribute-neg-out_binary64
62×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054139
189137
2105137
3122137
4134137
5151137
6179137
7207137
8280137
9439137
10569137
11592137
12608137
13630137
14651137
15663137
16676137
17677137
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))
(if (<=.f64 t #s(literal 8294382693697875/10633823966279326983230456482242756608 binary64)) (+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) (-.f64 (*.f64 (log.f64 t) a) t))
(if (<=.f64 t #s(literal 8294382693697875/10633823966279326983230456482242756608 binary64)) (+.f64 (log.f64 z) (+.f64 (log.f64 y) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) (-.f64 (*.f64 (log.f64 t) a) t))
(if (<=.f64 t #s(literal 1696173182187249/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (+.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) (+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(if (<=.f64 a #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 (*.f64 (log.f64 t) a) t) (if (<=.f64 a #s(literal 5854679515581645/9007199254740992 binary64)) (+.f64 (log.f64 (+.f64 x y)) (neg.f64 t)) (-.f64 (*.f64 (log.f64 t) a) t)))
(-.f64 (*.f64 (log.f64 t) a) t)
(if (<=.f64 a #s(literal -1150000000000000059113909661398005186560 binary64)) (*.f64 (log.f64 t) a) (if (<=.f64 a #s(literal 60000000000000003312112780327245144582520832 binary64)) (neg.f64 t) (*.f64 (log.f64 t) a)))
(neg.f64 t)
Outputs
(+.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 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) t)))
(if (<=.f64 t #s(literal 8294382693697875/10633823966279326983230456482242756608 binary64)) (+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) (-.f64 (*.f64 (log.f64 t) a) t))
(if (<=.f64 t #s(literal 8294382693697875/10633823966279326983230456482242756608 binary64)) (+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) (-.f64 (*.f64 (log.f64 t) a) t))
(if (<=.f64 t #s(literal 8294382693697875/10633823966279326983230456482242756608 binary64)) (+.f64 (log.f64 z) (+.f64 (log.f64 y) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) (-.f64 (*.f64 (log.f64 t) a) t))
(if (<=.f64 t #s(literal 8294382693697875/10633823966279326983230456482242756608 binary64)) (+.f64 (log.f64 z) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 y))) (-.f64 (*.f64 (log.f64 t) a) t))
(if (<=.f64 t #s(literal 1696173182187249/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (+.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) (+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))
(if (<=.f64 t #s(literal 1696173182187249/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (*.f64 y z))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) t))
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) t)
(if (<=.f64 a #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 (*.f64 (log.f64 t) a) t) (if (<=.f64 a #s(literal 5854679515581645/9007199254740992 binary64)) (+.f64 (log.f64 (+.f64 x y)) (neg.f64 t)) (-.f64 (*.f64 (log.f64 t) a) t)))
(if (<=.f64 a #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 (*.f64 (log.f64 t) a) t) (if (<=.f64 a #s(literal 5854679515581645/9007199254740992 binary64)) (-.f64 (log.f64 (+.f64 x y)) t) (-.f64 (*.f64 (log.f64 t) a) t)))
(-.f64 (*.f64 (log.f64 t) a) t)
(if (<=.f64 a #s(literal -1150000000000000059113909661398005186560 binary64)) (*.f64 (log.f64 t) a) (if (<=.f64 a #s(literal 60000000000000003312112780327245144582520832 binary64)) (neg.f64 t) (*.f64 (log.f64 t) a)))
(if (<=.f64 a #s(literal -1150000000000000059113909661398005186560 binary64)) (*.f64 (log.f64 t) a) (if (<=.f64 a #s(literal 60000000000000003312112780327245144582520832 binary64)) (-.f64 #s(literal 0 binary64) t) (*.f64 (log.f64 t) a)))
(neg.f64 t)
(-.f64 #s(literal 0 binary64) t)

soundness3.2s (22%)

Rules
6020×+-lowering-+.f64
6020×+-lowering-+.f32
4850×*-lowering-*.f32
4850×*-lowering-*.f64
4614×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
073311187
1243610167
0820010167
02074
114571
2156071
0839071
01516
12815
27515
325315
477414
5405014
6663414
7744814
8776714
9778914
10778914
0926014
0181622204
1639420927
0864420927
047223
1334211
23464204
08094204
06879767
122268684
276418662
080288662
04825194
115924685
267014565
080164565
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
Compiler

Compiled 725 to 475 computations (34.5% saved)

preprocess67.0ms (0.5%)

Remove

(sort x y)

Compiler

Compiled 556 to 280 computations (49.6% saved)

end0.0ms (0%)

Profiling

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