Numeric.SpecFunctions:logGammaL from math-functions-0.1.5.2

Time bar (total: 13.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze135.0ms (1%)

Memory
16.9MiB live, 127.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%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 18 to 17 computations (5.6% saved)

sample2.6s (18.5%)

Memory
2.3MiB live, 2 154.2MiB allocated
Samples
1.5s8 256×0valid
208.0ms2 095×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-log: 504.0ms (40.4% of total)
ival-add: 486.0ms (38.9% of total)
ival-mult: 120.0ms (9.6% of total)
ival-sub: 119.0ms (9.5% of total)
ival-true: 9.0ms (0.7% of total)
exact: 7.0ms (0.6% of total)
ival-assert: 5.0ms (0.4% of total)
Bogosity

explain234.0ms (1.7%)

Memory
8.2MiB live, 320.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
40-3(4.6510474218299855e-272 1.247797926013714e+119 1.1219830308019446e-122 1.2299417217269676e+197 5.0534502307101626e+30)(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
00-0-(log.f64 t)
00-0-a
00-0-(log.f64 (+.f64 x y))
00-0-t
00-0-(log.f64 z)
00-0-(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
00-0-z
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-y
00-0-(+.f64 x y)
00-0-(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
00-0-#s(literal 1/2 binary64)
00-0-x
00-0-(-.f64 a #s(literal 1/2 binary64))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))cancellation10
Confusion
Predicted +Predicted -
+01
-1254
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+001
-10254
Precision?
0.0
Recall?
0.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
112.0ms512×0valid
Compiler

Compiled 136 to 49 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-log: 51.0ms (59.3% of total)
ival-add: 23.0ms (26.7% of total)
ival-sub: 7.0ms (8.1% of total)
ival-mult: 3.0ms (3.5% of total)
ival-true: 1.0ms (1.2% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess196.0ms (1.4%)

Memory
-20.7MiB live, 115.4MiB allocated
Algorithm
egg-herbie
Rules
4 080×lower-fma.f64
4 080×lower-fma.f32
1 026×sub-neg
1 022×associate-+l-
1 004×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102335
1261331
2845325
33081324
46375324
57630324
01516
02416
13716
27816
319216
447816
5145216
6252116
7335416
8367316
9369516
10369516
11375516
12376916
13376916
0376915
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Outputs
(+.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 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))))
Symmetry

(sort x y)

Compiler

Compiled 16 to 15 computations (6.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify117.0ms (0.8%)

Memory
23.9MiB live, 99.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 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-diff128
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Rules
4 080×lower-fma.f64
4 080×lower-fma.f32
1 026×sub-neg
1 004×lower-+.f32
1 000×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01558
02458
13758
27858
319258
447858
5145258
6252158
7335458
8367358
9369558
10369558
11375558
12376958
13376958
0376957
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(log.f64 (+.f64 x y))
(+.f64 x y)
x
y
(log.f64 z)
z
t
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
Outputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))
(log.f64 (+.f64 x y))
(log.f64 (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(log.f64 z)
z
t
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)

localize104.0ms (0.7%)

Memory
-29.4MiB live, 124.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 t)
accuracy0.10775375976844201
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
accuracy0.14453125
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
accuracy0.5503158705413304
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
Samples
76.0ms256×0valid
Compiler

Compiled 60 to 17 computations (71.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log: 9.0ms (46.9% of total)
ival-add: 6.0ms (31.2% of total)
ival-sub: 2.0ms (10.4% of total)
ival-mult: 2.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series308.0ms (2.2%)

Memory
14.6MiB live, 473.8MiB allocated
Counts
6 → 204
Calls
Call 1
Inputs
#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())
#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ())
Outputs
#s(alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (log t)) (taylor 0 a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* a (log t)) (taylor inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) (taylor inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) (taylor inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) (taylor inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* a (log t)) (taylor inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (log t) (* -1/2 (/ (log t) a)))) (taylor inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (log t) (* -1/2 (/ (log t) a)))) (taylor inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (log t) (* -1/2 (/ (log t) a)))) (taylor inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* a (log t)) (taylor -inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) (taylor -inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) (taylor -inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) (taylor -inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* a (log t)) (taylor -inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) (taylor -inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) (taylor -inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) (taylor -inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (log y) (log z)) t) (taylor 0 x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (log y) (+ (log z) (/ x y))) t) (taylor 0 x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) t) (taylor 0 x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) t) (taylor 0 x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (log z)) (taylor 0 x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (+ (log z) (/ x y))) (taylor 0 x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) (taylor 0 x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) (taylor 0 x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (/ x y)) (taylor 0 x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) (taylor inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) (taylor inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) (taylor inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) (taylor inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (* -1 (log (/ 1 x)))) t) (taylor inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) t) (taylor inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) t) (taylor inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(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) (taylor inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (+ (log z) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) (taylor inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (/ y x)) (taylor inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))) (taylor inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))) (taylor inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t) (taylor -inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) (taylor -inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t) (taylor -inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(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)) (* (log t) (- a 1/2)))))) t) (taylor -inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) t) (taylor -inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) t) (taylor -inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) t) (taylor -inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(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) (taylor -inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) (taylor -inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) (taylor -inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ y x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
Calls

15 calls:

TimeVariablePointExpression
110.0ms
z
@0
((+ (- (+ (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)) (* (- a 1/2) (log t)) (log t))
72.0ms
z
@inf
((+ (- (+ (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)) (* (- a 1/2) (log t)) (log t))
41.0ms
t
@0
((+ (- (+ (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)) (* (- a 1/2) (log t)) (log t))
23.0ms
z
@-inf
((+ (- (+ (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)) (* (- a 1/2) (log t)) (log t))
18.0ms
t
@-inf
((+ (- (+ (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)) (* (- a 1/2) (log t)) (log t))

simplify192.0ms (1.4%)

Memory
-25.0MiB live, 326.5MiB allocated
Algorithm
egg-herbie
Rules
16 372×lower-fma.f64
16 372×lower-fma.f32
5 060×lower-+.f64
5 060×lower-+.f32
4 310×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03823187
111013021
235062976
083122824
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(* -1/2 (log t))
(+ (* -1/2 (log t)) (* a (log t)))
(+ (* -1/2 (log t)) (* a (log t)))
(+ (* -1/2 (log t)) (* a (log t)))
(* a (log t))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* 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 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) 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 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)))))
(+ (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)))
(* (log t) (- a 1/2))
(* (log t) (- a 1/2))
(* (log t) (- a 1/2))
(* (log t) (- a 1/2))
(log t)
(log t)
(log t)
(log t)
(* -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)
(* 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 (* (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)))
(* -1 (log (/ 1 t)))
(* -1 (log (/ 1 t)))
(* -1 (log (/ 1 t)))
(* -1 (log (/ 1 t)))
(* -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)))))
(* -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 -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(+ (log -1) (* -1 (log (/ -1 t))))
(+ (log -1) (* -1 (log (/ -1 t))))
(+ (log -1) (* -1 (log (/ -1 t))))
(+ (log -1) (* -1 (log (/ -1 t))))
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t)
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t)
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t)
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) 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 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 t) (- a 1/2)))) t)
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) 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 (+ 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 t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) 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 -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 x) (+ (log z) (* (log t) (- a 1/2)))) t)
(- (+ (log x) (+ (log z) (+ (* (log t) (- a 1/2)) (/ y x)))) t)
(- (+ (log x) (+ (log z) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2))))) t)
(- (+ (log x) (+ (log z) (+ (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (* (log t) (- a 1/2))))) t)
(- (+ (log x) (log z)) t)
(- (+ (log x) (+ (log z) (/ y x))) t)
(- (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) t)
(- (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) t)
(+ (log 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 x)
(+ (log x) (/ y x))
(+ (log x) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))
(+ (log x) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* (log t) (- a 1/2)) (/ x y)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* (log t) (- a 1/2)) (/ x y))))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* (log t) (- a 1/2)) (/ x y)))))) t)
(- (+ (log z) (* -1 (log (/ 1 y)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))) t)
(+ (log 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)))))
(* -1 (log (/ 1 y)))
(+ (* -1 (log (/ 1 y))) (/ x y))
(+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))
(+ (* -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 t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* (log t) (- a 1/2)) (/ x y))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* (log t) (- a 1/2)))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (* (log t) (- a 1/2)))))) t)
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) t)
(+ (log -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 -1) (* -1 (log (/ -1 y))))
(+ (log -1) (+ (* -1 (log (/ -1 y))) (/ x y)))
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)
(- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t)
(- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t)
(- (+ (log y) (+ (log z) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))) t)
(- (+ (log y) (log z)) t)
(- (+ (log y) (+ (log z) (/ x y))) t)
(- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) t)
(- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 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 y)
(+ (log y) (/ x y))
(+ (log y) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))
(+ (log y) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t)
(- (+ (log z) (* -1 (log (/ 1 x)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) t)
(- (+ (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 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)))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ y x))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))
(+ (* -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 t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t)
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) t)
(+ (log -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 -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ y x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))
Outputs
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))
(* -1/2 (log t))
(*.f64 (log.f64 t) #s(literal -1/2 binary64))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(* a (log t))
(*.f64 a (log.f64 t))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(*.f64 (fma.f64 (log.f64 t) (+.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) a)
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(*.f64 (fma.f64 (log.f64 t) (+.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) a)
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(*.f64 (fma.f64 (log.f64 t) (+.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) a)
(* a (log t))
(*.f64 a (log.f64 t))
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a)
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a)
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a)
(* a (log t))
(*.f64 a (log.f64 t))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(*.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) a) (log.f64 t)) a)
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(*.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) a) (log.f64 t)) a)
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(*.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) a) (log.f64 t)) a)
(* a (log t))
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(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a)
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a)
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a)
(+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2))))
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))
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(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))
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(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))
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(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))
(+ (log z) (log (+ x y)))
(+.f64 (log.f64 (+.f64 y x)) (log.f64 z))
(+ (log z) (+ (log (+ x y)) (* -1 t)))
(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))
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(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))
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(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))
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(* (log t) (- a 1/2))
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(* (log t) (- a 1/2))
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(* (log t) (- a 1/2))
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(log t)
(log.f64 t)
(log t)
(log.f64 t)
(log t)
(log.f64 t)
(log t)
(log.f64 t)
(* -1 t)
(neg.f64 t)
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))
(*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t)
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))
(*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t)
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))
(*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t)
(* -1 t)
(neg.f64 t)
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))
(fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))
(fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))
(fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
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(* -1 (log (/ 1 t)))
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(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (-.f64 a #s(literal 1/2 binary64)) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z))) t) t (neg.f64 t))
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))
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rewrite317.0ms (2.3%)

Memory
1.4MiB live, 323.0MiB allocated
Rules
5 670×lower-fma.f64
5 670×lower-fma.f32
4 278×lower-*.f32
4 276×lower-*.f64
3 538×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01544
02441
110241
283741
0828040
Stop Event
iter limit
node limit
iter limit
Counts
6 → 356
Calls
Call 1
Inputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(log.f64 (+.f64 x y))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(log.f64 t)
Outputs
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eval154.0ms (1.1%)

Memory
3.0MiB live, 117.0MiB allocated
Compiler

Compiled 19 442 to 1 662 computations (91.5% saved)

prune83.0ms (0.6%)

Memory
39.8MiB live, 117.4MiB allocated
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New53426560
Fresh000
Picked101
Done000
Total53526561
Accuracy
99.9%
Counts
561 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
57.4%
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
49.4%
(fma.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (log.f64 t)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64))) #s(literal -1 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
49.7%
(fma.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))))) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
58.0%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (-.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (-.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) (-.f64 a #s(literal -1/2 binary64))))
44.1%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
33.2%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) t)))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (fma.f64 t t (*.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) t)))))
46.1%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))
74.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
74.2%
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)
74.2%
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
49.7%
(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
29.6%
(+.f64 (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
76.5%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
66.0%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64)))))
99.5%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
66.0%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (* (- a 1/2) (log t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
99.5%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
75.2%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
33.0%
(*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))))
99.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
62.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)))
88.5%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (fma.f64 (log.f64 t) (+.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) a))
87.0%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t))
35.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
38.6%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
Compiler

Compiled 1 362 to 948 computations (30.4% saved)

simplify178.0ms (1.3%)

Memory
7.7MiB live, 278.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t))
cost-diff0
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
cost-diff6784
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))))
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-diff128
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
cost-diff0
(log.f64 t)
cost-diff0
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
cost-diff0
(neg.f64 t)
cost-diff0
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
cost-diff0
(+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t))
cost-diff0
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t)))
cost-diff128
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
cost-diff1408
(fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))
Rules
17 390×lower-fma.f32
17 382×lower-fma.f64
3 856×lower-+.f32
3 842×lower-+.f64
3 162×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056479
095475
1155475
2322475
3959469
43051457
56665457
08358452
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t)))
(fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))
(+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t))
(/.f64 (log.f64 (+.f64 y x)) t)
(log.f64 (+.f64 y x))
(+.f64 y x)
y
x
t
(/.f64 (log.f64 z) t)
(log.f64 z)
z
(neg.f64 t)
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
(neg.f64 t)
t
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(log.f64 t)
t
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)
(log.f64 (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
y
x
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(log.f64 (+.f64 x y))
(+.f64 x y)
x
y
(log.f64 z)
z
t
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))
(fma.f64 a a #s(literal -1/4 binary64))
a
#s(literal -1/4 binary64)
(log.f64 t)
(-.f64 a #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))))
(-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t))
(pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))
(log.f64 (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
y
x
#s(literal 2 binary64)
(*.f64 t t)
t
(-.f64 a #s(literal -1/2 binary64))
a
#s(literal -1/2 binary64)
(*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))
(+.f64 t (log.f64 (*.f64 z (+.f64 y x))))
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))
(fma.f64 a a #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(log.f64 t)
(*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))
Outputs
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 #s(literal 1 binary64) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) (neg.f64 t))))
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t)))
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 #s(literal 1 binary64) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) (neg.f64 t)))
(fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))
(fma.f64 #s(literal 1 binary64) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) (neg.f64 t))
(+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t))
(+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 (+.f64 y x)) t))
(/.f64 (log.f64 (+.f64 y x)) t)
(log.f64 (+.f64 y x))
(+.f64 y x)
y
x
t
(/.f64 (log.f64 z) t)
(log.f64 z)
z
(neg.f64 t)
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
(neg.f64 t)
t
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))
(log.f64 t)
t
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)
(-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)
(log.f64 (*.f64 z (+.f64 y x)))
(log.f64 (*.f64 (+.f64 y x) z))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
z
(+.f64 y x)
y
x
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (-.f64 a #s(literal -1/2 binary64))) (log.f64 t) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(+.f64 (log.f64 (+.f64 y x)) (log.f64 z))
(log.f64 (+.f64 x y))
(log.f64 (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(log.f64 z)
z
t
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))
(fma.f64 a a #s(literal -1/4 binary64))
a
#s(literal -1/4 binary64)
(log.f64 t)
(-.f64 a #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (-.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (-.f64 a #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))))
(*.f64 (fma.f64 (-.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))
(-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t))
(fma.f64 (neg.f64 t) t (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)))
(pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))
(pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64))
(log.f64 (*.f64 z (+.f64 y x)))
(log.f64 (*.f64 (+.f64 y x) z))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
z
(+.f64 y x)
y
x
#s(literal 2 binary64)
(*.f64 t t)
t
(-.f64 a #s(literal -1/2 binary64))
a
#s(literal -1/2 binary64)
(*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))
(*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))
(+.f64 t (log.f64 (*.f64 z (+.f64 y x))))
(+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))
(fma.f64 a a #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(log.f64 t)
(*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))
(*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (-.f64 a #s(literal -1/2 binary64)))

localize218.0ms (1.6%)

Memory
-15.9MiB live, 304.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.5201950195368841
(pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))
accuracy5.011599724874762
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))))
accuracy16.222902265899396
(log.f64 (*.f64 z (+.f64 y x)))
accuracy26.351750054155417
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
accuracy0.08203125
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))
accuracy0.10775375976844201
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
accuracy0.5503158705413304
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
accuracy14.767022058317796
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))
accuracy0.209316259768442
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
accuracy0.2421875
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))
accuracy0.28125
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
accuracy16.222902265899396
(log.f64 (*.f64 z (+.f64 y x)))
accuracy0
(neg.f64 t)
accuracy39.27696410109163
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
accuracy0.14453125
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
accuracy0.22265625
(/.f64 (log.f64 (+.f64 y x)) t)
accuracy0.23046875
(/.f64 (log.f64 z) t)
accuracy0.5613639883653903
(+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t))
Samples
162.0ms256×0valid
Compiler

Compiled 461 to 51 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-log: 53.0ms (44% of total)
ival-sub: 24.0ms (19.9% of total)
ival-mult: 14.0ms (11.6% of total)
ival-div: 13.0ms (10.8% of total)
ival-add: 12.0ms (10% of total)
ival-pow2: 3.0ms (2.5% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series486.0ms (3.5%)

Memory
25.0MiB live, 658.4MiB allocated
Counts
24 → 1 008
Calls
Call 1
Inputs
#s(alt (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t)) (patch (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (patch #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) (patch (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #<representation binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))) #<representation binary64>) () ())
#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) #<representation binary64>) () ())
#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (patch (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) (patch (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (patch (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 z) t) (patch (/.f64 (log.f64 z) t) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (+.f64 y x)) t) (patch (/.f64 (log.f64 (+.f64 y x)) t) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 z (+.f64 y x))) (patch (log.f64 (*.f64 z (+.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) (patch (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (patch (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) #<representation binary64>) () ())
Outputs
#s(alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) (taylor 0 a) (#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #<representation binary64>) () ())) ())
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#s(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))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (+.f64 y x)) t) (patch (/.f64 (log.f64 (+.f64 y x)) t) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (*.f64 z (+.f64 y x))) (patch (log.f64 (*.f64 z (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x))) (taylor -inf x) (#s(alt (log.f64 (*.f64 z (+.f64 y x))) (patch (log.f64 (*.f64 z (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (log.f64 (*.f64 z (+.f64 y x))) (patch (log.f64 (*.f64 z (+.f64 y x))) #<representation binary64>) () ())) ())
#s(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)))) (taylor -inf x) (#s(alt (log.f64 (*.f64 z (+.f64 y x))) (patch (log.f64 (*.f64 z (+.f64 y x))) #<representation binary64>) () ())) ())
Calls

15 calls:

TimeVariablePointExpression
57.0ms
x
@inf
((+ (* (+ (/ (log (+ y x)) t) (/ (log z) t)) t) (neg t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (/ (log (+ y x)) t) (/ (log z) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (- (pow (log (* z (+ y x))) 2) (* t t)) (pow (log (* z (+ y x))) 2) (/ (log z) t) (/ (log (+ y x)) t) (* (- a 1/2) (log t)) (log (* z (+ y x))) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (* (+ (* a a) -1/4) (log t)))
48.0ms
x
@0
((+ (* (+ (/ (log (+ y x)) t) (/ (log z) t)) t) (neg t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (/ (log (+ y x)) t) (/ (log z) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (- (pow (log (* z (+ y x))) 2) (* t t)) (pow (log (* z (+ y x))) 2) (/ (log z) t) (/ (log (+ y x)) t) (* (- a 1/2) (log t)) (log (* z (+ y x))) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (* (+ (* a a) -1/4) (log t)))
43.0ms
z
@-inf
((+ (* (+ (/ (log (+ y x)) t) (/ (log z) t)) t) (neg t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (/ (log (+ y x)) t) (/ (log z) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (- (pow (log (* z (+ y x))) 2) (* t t)) (pow (log (* z (+ y x))) 2) (/ (log z) t) (/ (log (+ y x)) t) (* (- a 1/2) (log t)) (log (* z (+ y x))) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (* (+ (* a a) -1/4) (log t)))
41.0ms
z
@inf
((+ (* (+ (/ (log (+ y x)) t) (/ (log z) t)) t) (neg t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (/ (log (+ y x)) t) (/ (log z) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (- (pow (log (* z (+ y x))) 2) (* t t)) (pow (log (* z (+ y x))) 2) (/ (log z) t) (/ (log (+ y x)) t) (* (- a 1/2) (log t)) (log (* z (+ y x))) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (* (+ (* a a) -1/4) (log t)))
41.0ms
t
@inf
((+ (* (+ (/ (log (+ y x)) t) (/ (log z) t)) t) (neg t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (/ (log (+ y x)) t) (/ (log z) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (- (pow (log (* z (+ y x))) 2) (* t t)) (pow (log (* z (+ y x))) 2) (/ (log z) t) (/ (log (+ y x)) t) (* (- a 1/2) (log t)) (log (* z (+ y x))) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (* (+ (* a a) -1/4) (log t)))

simplify498.0ms (3.6%)

Memory
-171.3MiB live, 452.6MiB allocated
Algorithm
egg-herbie
Rules
6 198×lower-+.f64
6 198×lower-+.f32
5 304×lower-fma.f64
5 304×lower-fma.f32
4 904×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0234534244
1777634244
0801032712
Stop Event
iter limit
node limit
Counts
1 008 → 1 008
Calls
Call 1
Inputs
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))
(+ (* -1 (/ (* a (log t)) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 2))) (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)))
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(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
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(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2))))
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(+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2))) (* a (- (+ (* a (* (log t) (+ t (log (* z (+ x y)))))) (pow (log (* z (+ x y))) 2)) (pow t 2)))))
(+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2))) (* a (- (+ (* a (* (log t) (+ t (log (* z (+ x y)))))) (pow (log (* z (+ x y))) 2)) (pow t 2)))))
(* 2 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))
(+ (* 2 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* a (- (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))))))
(+ (* 2 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* a (- (+ (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* a (- (* 2 (log t)) (* 2 (- (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))))))
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(* -1/2 (log t))
(+ (* -1/2 (log t)) (* a (log t)))
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(* -1/4 (log t))
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(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
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(* (pow a 2) (log t))
(* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2)))))
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(* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2)))))
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Outputs
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(log.f64 (neg.f64 z))) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal -2 binary64) (/.f64 (*.f64 (neg.f64 y) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))) (*.f64 (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 #s(literal 1/2 binary64) a)))) (neg.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) a)) (/.f64 (fma.f64 (*.f64 (log.f64 t) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 a a #s(literal -1/4 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (pow.f64 (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))))) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))))))) x))) (neg.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) a)) (/.f64 (fma.f64 (*.f64 (log.f64 t) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 a a #s(literal -1/4 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (pow.f64 (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))))) x) #s(literal -1 binary64) (fma.f64 (log.f64 t) (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (+.f64 t (log.f64 (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(- (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2) (pow t 2))
(-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t))
(- (+ (* 2 (/ (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2)) (pow t 2))
(fma.f64 (*.f64 y (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) x)) #s(literal 2 binary64) (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t)))
(- (+ (* -1 (/ (+ (* -2 (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (pow y 2)) x))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2)) (pow t 2))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (neg.f64 (/.f64 (fma.f64 y y (neg.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (*.f64 y y)))) x))) x) #s(literal -1 binary64) (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t)))
(- (+ (* -1 (/ (+ (* -2 (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (* -2/3 (* (pow y 3) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (pow y 3)) x)) (pow y 2))) x))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2)) (pow t 2))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (fma.f64 y y (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (pow.f64 y #s(literal 3 binary64))) x)))) x))) x) #s(literal -1 binary64) (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (*.f64 t t)))
(pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64))
(+ (* 2 (/ (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2))
(fma.f64 (*.f64 y (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) x)) #s(literal 2 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (pow y 2)) x))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (neg.f64 (/.f64 (fma.f64 y y (neg.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (*.f64 y y)))) x))) x) #s(literal -1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (* y (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (* -2/3 (* (pow y 3) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (pow y 3)) x)) (pow y 2))) x))) x)) (pow (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) 2))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (fma.f64 y y (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) (pow.f64 y #s(literal 3 binary64))) x)))) x))) x) #s(literal -1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z))) #s(literal 2 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) t)
(/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) t)
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ y (* t x)) (/ (log -1) t)))
(fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) t) #s(literal -1 binary64) (+.f64 (/.f64 y (*.f64 t x)) (/.f64 (log.f64 #s(literal -1 binary64)) t)))
(+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* 1/2 (/ (pow y 2) (* t x)))) x)) (/ (log -1) t)))
(fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) t) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 y y) t) x) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) t)) x) #s(literal -1 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) 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) t)))
(fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) t) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) t) x) #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 y y) t) #s(literal -1/2 binary64))) x) #s(literal -1 binary64) (/.f64 (neg.f64 y) t)) x) #s(literal -1 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) t)))
(+ (log (* -1 z)) (* -1 (log (/ -1 x))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (neg.f64 z)))
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x)))
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (/.f64 y x)) (log.f64 (neg.f64 z)))
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))
(fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (neg.f64 y)) x)) (log.f64 (neg.f64 z)))
(+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))
(fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x) #s(literal -1 binary64) (neg.f64 y)) x)) (log.f64 (neg.f64 z)))

rewrite207.0ms (1.5%)

Memory
9.1MiB live, 283.2MiB allocated
Rules
3 762×lower-/.f32
3 750×lower-/.f64
3 328×lower-fma.f32
3 320×lower-fma.f64
3 306×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056332
095279
1417275
23432275
08415271
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 404
Calls
Call 1
Inputs
(fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t)))
(+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
(neg.f64 t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(log.f64 t)
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(log.f64 (+.f64 x y))
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
(-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t))
(pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))
(/.f64 (log.f64 z) t)
(/.f64 (log.f64 (+.f64 y x)) t)
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(log.f64 (*.f64 z (+.f64 y x)))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval550.0ms (4%)

Memory
42.7MiB live, 606.9MiB allocated
Compiler

Compiled 119 842 to 7 343 computations (93.9% saved)

prune198.0ms (1.4%)

Memory
11.6MiB live, 208.1MiB allocated
Pruning

41 alts after pruning (40 fresh and 1 done)

PrunedKeptTotal
New2 713352 748
Fresh16521
Picked415
Done000
Total2 733412 774
Accuracy
100.0%
Counts
2 774 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.4%
(fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (-.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
57.4%
(fma.f64 (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
74.2%
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
74.2%
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)))))
49.4%
(fma.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (log.f64 t)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64))) #s(literal -1 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
49.6%
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 t (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)))))
13.4%
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
31.7%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
44.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (-.f64 a #s(literal -1/2 binary64))) (fma.f64 (fma.f64 (neg.f64 t) t (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))))))
73.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 y z))) t))))
27.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 x z))) t))))
25.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 t (*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) a)) (/.f64 #s(literal 1 binary64) (log.f64 t))) (/.f64 #s(literal 1/2 binary64) (*.f64 a (log.f64 t)))) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) a))) a)))
38.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t)))
74.2%
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
31.8%
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
36.9%
(+.f64 (-.f64 (-.f64 (log.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z)) (log.f64 (-.f64 y x))) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
99.5%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
68.1%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 a a (fma.f64 #s(literal -1/2 binary64) a #s(literal 1/4 binary64)))))
66.0%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
31.7%
(+.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (*.f64 (+.f64 x y) z)))) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
73.3%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 x y))) t (*.f64 (neg.f64 t) (log.f64 z))) (*.f64 (neg.f64 t) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
73.9%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) t) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
65.9%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) #s(approx (* (- a 1/2) (log t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
52.2%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
75.2%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
30.4%
(exp.f64 (log.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))))
52.3%
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)))) a (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 2 binary64))))
13.9%
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (/.f64 (fma.f64 (*.f64 (+.f64 (log.f64 (*.f64 x z)) t) (fma.f64 a a #s(literal -1/4 binary64))) (log.f64 t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 (log.f64 (*.f64 x z)) t) (+.f64 #s(literal 1/2 binary64) a))))
53.4%
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) (fma.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal -1 binary64) #s(literal 1 binary64))) t))
35.2%
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t)))
74.0%
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t))
27.1%
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t))
50.3%
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
64.3%
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t))
67.2%
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a)) (/.f64 t a)) a))
66.0%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t))
71.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t)) #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) #s(literal 1 binary64)) t))
19.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)))
99.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
87.0%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t))
38.6%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
Compiler

Compiled 1 929 to 1 449 computations (24.9% saved)

simplify136.0ms (1%)

Memory
2.5MiB live, 76.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
cost-diff0
(pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64))
cost-diff6464
(pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff0
(-.f64 a #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)))))
cost-diff1024
(*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)))
cost-diff5952
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))
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 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
cost-diff128
(-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
cost-diff0
(*.f64 (neg.f64 t) t)
cost-diff0
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)))
cost-diff192
(+.f64 #s(literal 0 binary64) t)
cost-diff1024
(/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))
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-diff128
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
cost-diff1088
(/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))
Rules
7 376×lower-fma.f32
7 370×lower-fma.f64
2 354×lower-*.f32
2 346×lower-*.f64
1 522×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050375
080373
1134359
2307332
3691332
41608332
54145332
66268332
08030329
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(log.f64 (+.f64 x y))
(+.f64 x y)
x
y
(log.f64 z)
z
t
(/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))
(log.f64 t)
(/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)))
(/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 t) t)
(neg.f64 t)
t
(+.f64 #s(literal 0 binary64) t)
#s(literal 0 binary64)
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(log.f64 (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
(-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
t
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))
(log.f64 t)
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)))))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
t
#s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))
(*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))
(pow.f64 t #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(log.f64 t)
t
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)
(log.f64 (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
#s(literal -1/2 binary64)
#s(literal 2 binary64)
Outputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))
(log.f64 (+.f64 x y))
(log.f64 (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(log.f64 z)
z
t
(/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(log.f64 t)
(/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
(/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))
(neg.f64 t)
(*.f64 (neg.f64 t) t)
(neg.f64 t)
t
(+.f64 #s(literal 0 binary64) t)
t
#s(literal 0 binary64)
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t))
(log.f64 (*.f64 (+.f64 x y) z))
(log.f64 (*.f64 z (+.f64 y x)))
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
z
(-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t)
t
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(log.f64 t)
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
t
#s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))
#s(approx (- (+ (log (+ x y)) (log z)) t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)))
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))
(/.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) t)
(pow.f64 t #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 (*.f64 (+.f64 x y) z))
(log.f64 (*.f64 z (+.f64 y x)))
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
z
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t))
#s(literal 1 binary64)
(pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64))
(pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t)) #s(literal -1/2 binary64))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t))
(log.f64 t)
t
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)
(log.f64 (*.f64 (+.f64 x y) z))
(log.f64 (*.f64 z (+.f64 y x)))
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
z
#s(literal -1/2 binary64)
#s(literal 2 binary64)

localize209.0ms (1.5%)

Memory
-17.6MiB live, 127.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
accuracy0.146816259768442
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
accuracy0.23341752930532603
(pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy5.569053539903877
(log.f64 (*.f64 (+.f64 x y) z))
accuracy0.0703125
(*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)))
accuracy0.1171875
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))
accuracy0.146816259768442
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)))))
accuracy5.569053539903877
(log.f64 (*.f64 (+.f64 x y) z))
accuracy0.010097509768442016
(-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
accuracy0.07421875
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))
accuracy0.08431625976844201
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
accuracy5.569053539903877
(log.f64 (*.f64 (+.f64 x y) z))
accuracy0
(*.f64 (neg.f64 t) t)
accuracy0
(neg.f64 t)
accuracy13.195159544324627
(/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))
accuracy25.514421575350024
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)))
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))
accuracy0.0703125
(/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))
accuracy0.08041000976844201
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
accuracy0.30526834153483245
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
Samples
119.0ms152×0invalid
34.0ms104×0valid
Compiler

Compiled 347 to 44 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
ival-log: 52.0ms (41.6% of total)
ival-add: 42.0ms (33.6% of total)
ival-mult: 9.0ms (7.2% of total)
ival-div: 6.0ms (4.8% of total)
ival-sub: 5.0ms (4% of total)
ival-pow: 5.0ms (4% of total)
ival-pow2: 3.0ms (2.4% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series356.0ms (2.6%)

Memory
8.5MiB live, 357.5MiB allocated
Counts
23 → 876
Calls
Call 1
Inputs
#s(alt (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) (patch (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)) (patch (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) t) (patch (+.f64 #s(literal 0 binary64) t) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 t) t) (patch (*.f64 (neg.f64 t) t) #<representation binary64>) () ())
#s(alt (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (patch (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (patch (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 (+.f64 x y) z)) (patch (log.f64 (*.f64 (+.f64 x y) z)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)) (patch (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))) (patch (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 a #s(literal 1/2 binary64)) (patch (-.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (patch (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* -1/2 (log t)) (taylor 0 a) (#s(alt (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) (patch (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) (taylor -inf x) (#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) (taylor -inf x) (#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2))))) t) (taylor -inf x) (#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #<representation binary64>) () ())) ())
#s(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)) (* (log t) (- a 1/2))))) t) (taylor -inf x) (#s(alt (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (patch (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #<representation binary64>) () ())) ())
Calls

15 calls:

TimeVariablePointExpression
65.0ms
z
@inf
((/ (log t) (/ 1 (- a 1/2))) (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (/ (* (neg t) t) (+ 0 t)) (+ 0 t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (- t (* (log t) (- a 1/2))) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (* (+ x y) z) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) (/ 1 (- a 1/2)) (neg t) (* (log t) (- a 1/2)))
63.0ms
z
@0
((/ (log t) (/ 1 (- a 1/2))) (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (/ (* (neg t) t) (+ 0 t)) (+ 0 t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (- t (* (log t) (- a 1/2))) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (* (+ x y) z) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) (/ 1 (- a 1/2)) (neg t) (* (log t) (- a 1/2)))
49.0ms
t
@inf
((/ (log t) (/ 1 (- a 1/2))) (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (/ (* (neg t) t) (+ 0 t)) (+ 0 t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (- t (* (log t) (- a 1/2))) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (* (+ x y) z) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) (/ 1 (- a 1/2)) (neg t) (* (log t) (- a 1/2)))
45.0ms
a
@0
((/ (log t) (/ 1 (- a 1/2))) (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (/ (* (neg t) t) (+ 0 t)) (+ 0 t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (- t (* (log t) (- a 1/2))) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (* (+ x y) z) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) (/ 1 (- a 1/2)) (neg t) (* (log t) (- a 1/2)))
33.0ms
z
@-inf
((/ (log t) (/ 1 (- a 1/2))) (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (/ (* (neg t) t) (+ 0 t)) (+ 0 t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (- t (* (log t) (- a 1/2))) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (* (+ x y) z) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) (/ 1 (- a 1/2)) (neg t) (* (log t) (- a 1/2)))

simplify234.0ms (1.7%)

Memory
10.6MiB live, 318.2MiB allocated
Algorithm
egg-herbie
Rules
6 418×lower-fma.f64
6 418×lower-fma.f32
5 960×lower-*.f64
5 960×lower-*.f32
5 428×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147521139
1433620208
0821119363
Stop Event
iter limit
node limit
Counts
876 → 860
Calls
Call 1
Inputs
(* -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)))
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- t (* -1/2 (log t)))
(- (+ t (* -1 (* a (log t)))) (* -1/2 (log t)))
(- (+ t (* -1 (* a (log t)))) (* -1/2 (log t)))
(- (+ t (* -1 (* a (log t)))) (* -1/2 (log t)))
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
-1/2
(- a 1/2)
(- a 1/2)
(- a 1/2)
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))
(+ (* -1 (/ (* a (log t)) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 2))) (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)))
(+ (* a (- (/ (* a (pow (log t) 2)) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3)) (/ (log t) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 2)))) (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)))
(+ (* a (- (* a (- (* -1 (/ (* a (pow (log t) 3)) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 4))) (* -1 (/ (pow (log t) 2) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))))) (/ (log t) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 2)))) (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)))
(sqrt (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)))
(+ (sqrt (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))) (* -1/2 (* (* a (log t)) (sqrt (/ 1 (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))))))
(+ (sqrt (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))) (* a (+ (* -1/2 (* (log t) (sqrt (/ 1 (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))))) (* -1/2 (* (* a (+ (* -1 (/ (pow (log t) 2) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))) (* 1/4 (/ (pow (log t) 2) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))))) (sqrt (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)))))))
(+ (sqrt (/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))) (* a (+ (* -1/2 (* (log t) (sqrt (/ 1 (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))))) (* a (+ (* -1/2 (* (* a (+ (* 1/2 (/ (* (log t) (+ (* -1 (/ (pow (log t) 2) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))) (* 1/4 (/ (pow (log t) 2) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))))) (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))) (/ (pow (log t) 3) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 4)))) (sqrt (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)))) (* -1/2 (* (+ (* -1 (/ (pow (log t) 2) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3))) (* 1/4 (/ (pow (log t) 2) (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 3)))) (sqrt (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)))))))))
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
-2
(- (* -4 a) 2)
(- (* a (- (* -8 a) 4)) 2)
(- (* a (- (* a (- (* -16 a) 8)) 4)) 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))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (log t))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* -1 (* a (log t)))
(* a (- (/ t a) (+ (log t) (* -1/2 (/ (log t) a)))))
(* a (- (/ t a) (+ (log t) (* -1/2 (/ (log t) a)))))
(* a (- (/ t a) (+ (log t) (* -1/2 (/ (log t) a)))))
(* a (log t))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a)))
(* a (log t))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
a
(* a (- 1 (* 1/2 (/ 1 a))))
(* a (- 1 (* 1/2 (/ 1 a))))
(* a (- 1 (* 1/2 (/ 1 a))))
(* a (log t))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a)))
(/ 1 (* a (log t)))
(/ (- (+ (/ 1/2 (* a (log t))) (+ (/ 1 (log t)) (/ t (* a (pow (log t) 2))))) (/ (log (* z (+ x y))) (* a (pow (log t) 2)))) a)
(/ (- (+ (* -1 (/ (* (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))) (* (pow a 2) (log t)))) (+ (/ 1/2 (* a (log t))) (+ (/ 1 (log t)) (/ t (* a (pow (log t) 2)))))) (/ (log (* z (+ x y))) (* a (pow (log t) 2)))) a)
(/ (- (+ (/ 1/2 (* a (log t))) (+ (/ 1 (log t)) (+ (/ t (* a (pow (log t) 2))) (/ (* (pow (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) 2) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))) (* (pow a 3) (pow (log t) 2)))))) (+ (/ (log (* z (+ x y))) (* a (pow (log t) 2))) (/ (* (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) (- (+ (* 1/2 (/ 1 (log t))) (/ t (pow (log t) 2))) (/ (log (* z (+ x y))) (pow (log t) 2)))) (* (pow a 2) (log t))))) a)
(sqrt (/ 1 (* a (log t))))
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(+ (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 -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t)
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t)
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t)
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2))))) t)
(- (+ (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))))) t)
(+ (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))))
(* 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)))))
(- (+ (* -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)
(* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (/ (log (* -1 z)) t)) 1))
(+ (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (/ (log (* -1 z)) t)) 1)) (/ y x))
(+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* t (- (+ (* -1 (/ (log (/ -1 x)) t)) (/ (log (* -1 z)) t)) 1)))
(+ (* -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 z)) t)) 1)))
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t)
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t)
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t)
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2))))) t)
(- (+ (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))))) t)
(/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))
(+ (* -1 (/ y (* x (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2)))) (/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t)))
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow y 3) (* x (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3)))) (+ (* -1/3 (/ (pow y 3) (* x (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2)))) (/ (* y (+ (* -1 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (* -1/2 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))))) (* x (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))))) (+ (* -1 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (* -1/2 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))))) x)) (* -1 (/ y (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2)))) x)) (/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t)))
(sqrt (/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t)))
(+ (sqrt (/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))) (* -1/2 (* (/ y x) (sqrt (/ 1 (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))))))
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(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t)
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t)
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2))))) t)
(- (+ (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))))) t)
Outputs
(* -1/2 (log t))
(*.f64 (log.f64 t) #s(literal -1/2 binary64))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t)
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t)
(- t (* -1/2 (log t)))
(-.f64 t (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(- (+ t (* -1 (* a (log t)))) (* -1/2 (log t)))
(-.f64 t (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(- (+ t (* -1 (* a (log t)))) (* -1/2 (log t)))
(-.f64 t (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(- (+ t (* -1 (* a (log t)))) (* -1/2 (log t)))
(-.f64 t (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
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(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t)
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
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(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t)
-1/2
#s(literal -1/2 binary64)
(- a 1/2)
(-.f64 a #s(literal 1/2 binary64))
(- a 1/2)
(-.f64 a #s(literal 1/2 binary64))
(- a 1/2)
(-.f64 a #s(literal 1/2 binary64))
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(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
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(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t)
(/ 1 (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
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(+ (sqrt (/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))) (* -1 (/ (+ (* 1/2 (* y (sqrt (/ 1 (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))))) (* 1/2 (* (/ (+ (* -1 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (+ (* -1/2 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))) (* 1/4 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))))) x) (sqrt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))))) x)))
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(+ (sqrt (/ 1 (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ (* -1 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (+ (* -1/2 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))) (* 1/4 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))))) (sqrt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t)))) (* 1/2 (* (/ (+ (* -1/2 (/ (* y (+ (* -1 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (+ (* -1/2 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))) (* 1/4 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3)))))) (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))) (+ (* -1/2 (/ (pow y 3) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (+ (* -1/3 (/ (pow y 3) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))) (/ (* y (+ (* -1 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3))) (* -1/2 (/ (pow y 2) (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 2))))) (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))))) x) (sqrt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t))))) x)) (* 1/2 (* y (sqrt (/ 1 (pow (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t) 3)))))) x)))
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(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2)))) t)
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(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t)
(-.f64 (+.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 y x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t)
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2))))) t)
(-.f64 (+.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t)
(- (+ (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))))) t)
(-.f64 (+.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x) y)) (neg.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t)

rewrite247.0ms (1.8%)

Memory
10.7MiB live, 368.2MiB allocated
Rules
8 052×lower-fma.f32
8 046×lower-fma.f64
4 548×lower-*.f32
4 540×lower-*.f64
4 516×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050253
080247
1336212
22785212
010296212
Stop Event
iter limit
node limit
iter limit
Counts
23 → 2 238
Calls
Call 1
Inputs
(/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))
(+.f64 #s(literal 0 binary64) t)
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)))
(*.f64 (neg.f64 t) t)
(-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(log.f64 (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) z)
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))
(*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)))))
(-.f64 a #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))
(neg.f64 t)
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))
Outputs
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eval619.0ms (4.5%)

Memory
35.9MiB live, 1 142.3MiB allocated
Compiler

Compiled 104 285 to 9 227 computations (91.2% saved)

prune168.0ms (1.2%)

Memory
-22.3MiB live, 400.8MiB allocated
Pruning

60 alts after pruning (59 fresh and 1 done)

PrunedKeptTotal
New3 512413 553
Fresh171835
Picked505
Done011
Total3 534603 594
Accuracy
100.0%
Counts
3 594 → 60
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.4%
(fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (-.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
57.4%
(fma.f64 (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
47.6%
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)))))
99.2%
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))))
75.2%
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))
31.7%
(pow.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
13.4%
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
31.8%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
17.6%
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (log.f64 t))))) #s(literal 2 binary64)))
44.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (-.f64 a #s(literal -1/2 binary64))) (fma.f64 (fma.f64 (neg.f64 t) t (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))))))
73.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 y z))) t))))
27.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 x z))) t))))
25.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 t (pow.f64 (log.f64 t) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 t))) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (pow.f64 (log.f64 t) #s(literal 2 binary64)))) (neg.f64 a)) (/.f64 #s(literal 1 binary64) (log.f64 t))) (neg.f64 a))))
38.5%
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t)))
57.4%
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (fma.f64 (/.f64 (log.f64 t) (pow.f64 (fma.f64 a a #s(literal -1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) a)) t))
73.9%
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (-.f64 (/.f64 (*.f64 #s(literal 3 binary64) (log.f64 t)) (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 t)) (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
74.2%
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)))))
64.3%
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)))
74.0%
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
99.2%
(-.f64 #s(approx (log (* (+ x y) z)) (+.f64 (log.f64 y) (log.f64 z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
31.8%
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
36.9%
(+.f64 (-.f64 (-.f64 (log.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z)) (log.f64 (-.f64 y x))) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
27.6%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (pow.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
68.1%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 a a (fma.f64 #s(literal -1/2 binary64) a #s(literal 1/4 binary64)))))
73.3%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 x y))) t (*.f64 (neg.f64 t) (log.f64 z))) (*.f64 (neg.f64 t) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
52.2%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
75.1%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
30.4%
(exp.f64 (log.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
52.3%
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)))) a (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 2 binary64))))
13.9%
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (/.f64 (fma.f64 (*.f64 (+.f64 (log.f64 (*.f64 x z)) t) (fma.f64 a a #s(literal -1/4 binary64))) (log.f64 t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 (log.f64 (*.f64 x z)) t) (+.f64 #s(literal 1/2 binary64) a))))
53.4%
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) (fma.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal -1 binary64) #s(literal 1 binary64))) t))
35.2%
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t)))
64.3%
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (fma.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) t (neg.f64 t)))
74.0%
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t))
27.1%
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t))
50.3%
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
99.2%
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
67.2%
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a)) (/.f64 t a)) a))
64.3%
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t))
66.0%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t))
71.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t)) #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) #s(literal 1 binary64)) t))
87.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (fma.f64 (+.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)))
7.4%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
12.3%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
17.4%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t)))
17.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))) t) (+.f64 #s(literal 0 binary64) t)))
19.6%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t)))
19.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t))))
17.4%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t))))
9.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))))
17.4%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t))))
19.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
10.0%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))
17.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))))
10.0%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t))))
17.4%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t))))
19.6%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64)))))
19.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)))
38.5%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))))
38.6%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
Compiler

Compiled 2 383 to 1 961 computations (17.7% saved)

simplify120.0ms (0.9%)

Memory
-7.7MiB live, 148.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z)))
cost-diff0
(-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t)
cost-diff128
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
cost-diff7104
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64))
cost-diff0
(log.f64 (*.f64 (+.f64 x y) z))
cost-diff0
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)))
cost-diff128
(fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64))
cost-diff1024
(*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)
cost-diff0
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))))
cost-diff320
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))
cost-diff704
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))
cost-diff6912
(*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))
cost-diff0
(neg.f64 t)
cost-diff0
(*.f64 (neg.f64 t) t)
cost-diff0
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
cost-diff1024
(/.f64 (*.f64 (neg.f64 t) t) t)
cost-diff0
#s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))
cost-diff0
(log.f64 t)
cost-diff0
(-.f64 a #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))))
Rules
7 082×lower-fma.f32
7 076×lower-fma.f64
2 912×lower-*.f32
2 900×lower-*.f64
2 228×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065468
0101451
1171421
2373413
3932407
43641401
56923401
08062387
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
t
#s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))
(*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))
#s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))
(+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))
(/.f64 (log.f64 y) t)
(log.f64 y)
y
(-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))
(/.f64 (log.f64 z) t)
(log.f64 z)
z
#s(literal 1 binary64)
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
(/.f64 (*.f64 (neg.f64 t) t) t)
(*.f64 (neg.f64 t) t)
(neg.f64 t)
t
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))))
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))
(neg.f64 t)
t
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))
#s(literal -1 binary64)
(*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))
(pow.f64 t #s(literal -1 binary64))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)))
(log.f64 (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
#s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))
(*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)
(fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64))
(neg.f64 (log.f64 t))
(log.f64 t)
t
(/.f64 (-.f64 a #s(literal 1/2 binary64)) t)
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64))
(sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z)))
(log.f64 (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
#s(literal 2 binary64)
t
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))
(fma.f64 a a #s(literal -1/4 binary64))
a
#s(literal -1/4 binary64)
(log.f64 t)
(-.f64 a #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
Outputs
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (fma.f64 (pow.f64 t #s(literal -1 binary64)) (+.f64 (log.f64 z) (log.f64 y)) #s(literal -1 binary64))) t)))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
t
#s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))
#s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (fma.f64 (pow.f64 t #s(literal -1 binary64)) (+.f64 (log.f64 z) (log.f64 y)) #s(literal -1 binary64))) t))
(*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))
(*.f64 #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (fma.f64 (pow.f64 t #s(literal -1 binary64)) (+.f64 (log.f64 z) (log.f64 y)) #s(literal -1 binary64))) t)
#s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))
#s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (fma.f64 (pow.f64 t #s(literal -1 binary64)) (+.f64 (log.f64 z) (log.f64 y)) #s(literal -1 binary64)))
(+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (+.f64 (log.f64 z) (log.f64 y)) #s(literal -1 binary64))
(/.f64 (log.f64 y) t)
(log.f64 y)
y
(-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))
(/.f64 (log.f64 z) t)
(log.f64 z)
z
#s(literal 1 binary64)
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
(/.f64 (*.f64 (neg.f64 t) t) t)
(neg.f64 t)
(*.f64 (neg.f64 t) t)
(neg.f64 t)
t
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))
(neg.f64 t)
(neg.f64 t)
t
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))
#s(literal -1 binary64)
(pow.f64 t #s(literal -1 binary64))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)))
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(approx (- t (* (log t) (- a 1/2))) (fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t)))
(log.f64 (*.f64 (+.f64 x y) z))
(log.f64 (*.f64 z (+.f64 y x)))
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
z
#s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))
#s(approx (- t (* (log t) (- a 1/2))) (fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t))
(*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)
(fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t)
(fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64))
(fma.f64 (/.f64 (log.f64 t) t) (-.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))
(neg.f64 (log.f64 t))
(log.f64 t)
t
(/.f64 (-.f64 a #s(literal 1/2 binary64)) t)
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (-.f64 a #s(literal -1/2 binary64))) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t)
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64))
(log.f64 (*.f64 z (+.f64 y x)))
(sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z)))
(sqrt.f64 (log.f64 (*.f64 z (+.f64 y x))))
(log.f64 (*.f64 (+.f64 x y) z))
(log.f64 (*.f64 z (+.f64 y x)))
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
z
#s(literal 2 binary64)
t
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))
(*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))
(fma.f64 a a #s(literal -1/4 binary64))
a
#s(literal -1/4 binary64)
(log.f64 t)
(-.f64 a #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

localize156.0ms (1.1%)

Memory
31.7MiB live, 313.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z)))
accuracy0.3125
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64))
accuracy9.08796214278677
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))
accuracy14.285831023835673
(log.f64 (*.f64 (+.f64 x y) z))
accuracy0.06640625
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)))
accuracy0.140625
(fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64))
accuracy4.996318090977152
(*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)
accuracy14.285831023835673
(log.f64 (*.f64 (+.f64 x y) z))
accuracy0
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))
accuracy0
(neg.f64 t)
accuracy0.08203125
(*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))
accuracy26.173104649773197
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))))
accuracy0
(*.f64 (neg.f64 t) t)
accuracy0
(neg.f64 t)
accuracy18.93014622872729
(/.f64 (*.f64 (neg.f64 t) t) t)
accuracy26.173104649773197
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
accuracy0.14453125
(/.f64 (log.f64 z) t)
accuracy0.1484375
(/.f64 (log.f64 y) t)
accuracy0.17586591422991552
(+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))
accuracy0.24737722743872378
#s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))
Samples
67.0ms162×0valid
40.0ms94×0invalid
Compiler

Compiled 354 to 57 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 22.0ms (27.7% of total)
ival-log: 18.0ms (22.6% of total)
ival-div: 11.0ms (13.8% of total)
ival-add: 9.0ms (11.3% of total)
ival-sub: 9.0ms (11.3% of total)
ival-pow: 3.0ms (3.8% of total)
ival-sqrt: 2.0ms (2.5% of total)
ival-pow2: 2.0ms (2.5% of total)
ival-neg: 2.0ms (2.5% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series464.0ms (3.3%)

Memory
-7.4MiB live, 505.8MiB allocated
Counts
25 → 804
Calls
Call 1
Inputs
#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))) #<representation binary64>) () ())
#s(alt (-.f64 a #s(literal 1/2 binary64)) (patch (-.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))) (patch #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 t) t) t) (patch (/.f64 (*.f64 (neg.f64 t) t) t) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 t) t) (patch (*.f64 (neg.f64 t) t) #<representation binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))) (patch (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))) (patch (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t) (patch (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) (patch (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t))) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 (+.f64 x y) z)) (patch (log.f64 (*.f64 (+.f64 x y) z)) #<representation binary64>) () ())
#s(alt (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) (patch (+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (patch (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) #<representation binary64>) () ())
#s(alt (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) (patch (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))) (patch #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))) (patch (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 y) t) (patch (/.f64 (log.f64 y) t) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 z) t) (patch (/.f64 (log.f64 z) t) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) (patch (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))) #<representation binary64>) () ())
Outputs
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Calls

15 calls:

TimeVariablePointExpression
84.0ms
y
@-inf
((+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (log t) (- (+ (log (+ x y)) (log z)) t) (/ (* (neg t) t) t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (neg t) (* (neg t) (pow t -1)) (/ -1 (* (neg t) (pow t -1))) (* (neg t) (/ -1 (* (neg t) (pow t -1)))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) t) (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (pow (sqrt (log (* (+ x y) z))) 2) (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (pow (sqrt (log (* (+ x y) z))) 2) t) (sqrt (log (* (+ x y) z))) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+ (/ (log y) t) (- (/ (log z) t) 1)) (/ (log y) t) (/ (log z) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)))
54.0ms
z
@0
((+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (log t) (- (+ (log (+ x y)) (log z)) t) (/ (* (neg t) t) t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (neg t) (* (neg t) (pow t -1)) (/ -1 (* (neg t) (pow t -1))) (* (neg t) (/ -1 (* (neg t) (pow t -1)))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) t) (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (pow (sqrt (log (* (+ x y) z))) 2) (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (pow (sqrt (log (* (+ x y) z))) 2) t) (sqrt (log (* (+ x y) z))) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+ (/ (log y) t) (- (/ (log z) t) 1)) (/ (log y) t) (/ (log z) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)))
44.0ms
t
@inf
((+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (log t) (- (+ (log (+ x y)) (log z)) t) (/ (* (neg t) t) t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (neg t) (* (neg t) (pow t -1)) (/ -1 (* (neg t) (pow t -1))) (* (neg t) (/ -1 (* (neg t) (pow t -1)))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) t) (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (pow (sqrt (log (* (+ x y) z))) 2) (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (pow (sqrt (log (* (+ x y) z))) 2) t) (sqrt (log (* (+ x y) z))) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+ (/ (log y) t) (- (/ (log z) t) 1)) (/ (log y) t) (/ (log z) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)))
39.0ms
z
@inf
((+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (log t) (- (+ (log (+ x y)) (log z)) t) (/ (* (neg t) t) t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (neg t) (* (neg t) (pow t -1)) (/ -1 (* (neg t) (pow t -1))) (* (neg t) (/ -1 (* (neg t) (pow t -1)))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) t) (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (pow (sqrt (log (* (+ x y) z))) 2) (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (pow (sqrt (log (* (+ x y) z))) 2) t) (sqrt (log (* (+ x y) z))) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+ (/ (log y) t) (- (/ (log z) t) 1)) (/ (log y) t) (/ (log z) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)))
39.0ms
z
@-inf
((+ (* (- a 1/2) (log t)) (- (+ (log (+ x y)) (log z)) t)) (- a 1/2) (log t) (- (+ (log (+ x y)) (log z)) t) (/ (* (neg t) t) t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (neg t) (* (neg t) (pow t -1)) (/ -1 (* (neg t) (pow t -1))) (* (neg t) (/ -1 (* (neg t) (pow t -1)))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) t) (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (- (log (* (+ x y) z)) (- t (* (log t) (- a 1/2)))) (log (* (+ x y) z)) (pow (sqrt (log (* (+ x y) z))) 2) (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (- (pow (sqrt (log (* (+ x y) z))) 2) t) (sqrt (log (* (+ x y) z))) (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+ (/ (log y) t) (- (/ (log z) t) 1)) (/ (log y) t) (/ (log z) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)))

simplify322.0ms (2.3%)

Memory
-31.7MiB live, 210.8MiB allocated
Algorithm
egg-herbie
Rules
9 010×lower-fma.f64
9 010×lower-fma.f32
6 084×lower-+.f64
6 084×lower-+.f32
4 656×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102913182
1308512473
0815411965
Stop Event
iter limit
node limit
Counts
804 → 800
Calls
Call 1
Inputs
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
-1/2
(- a 1/2)
(- a 1/2)
(- a 1/2)
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(* t (+ 1 (* 1/2 (/ (log t) t))))
(+ (* -1 (* a (log t))) (* t (+ 1 (* 1/2 (/ (log t) t)))))
(+ (* -1 (* a (log t))) (* t (+ 1 (* 1/2 (/ (log t) t)))))
(+ (* -1 (* a (log t))) (* t (+ 1 (* 1/2 (/ (log t) t)))))
(+ 1 (* 1/2 (/ (log t) t)))
(+ 1 (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t))))
(+ 1 (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t))))
(+ 1 (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t))))
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(* -1/2 (log t))
(+ (* -1/2 (log t)) (* a (log t)))
(+ (* -1/2 (log t)) (* a (log t)))
(+ (* -1/2 (log t)) (* a (log t)))
(* a (log t))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
a
(* a (- 1 (* 1/2 (/ 1 a))))
(* a (- 1 (* 1/2 (/ 1 a))))
(* a (- 1 (* 1/2 (/ 1 a))))
(* a (log t))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (log t))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* -1 (* a (log t)))
(* a (+ (* -1 (log t)) (/ (* t (+ 1 (* 1/2 (/ (log t) t)))) a)))
(* a (+ (* -1 (log t)) (/ (* t (+ 1 (* 1/2 (/ (log t) t)))) a)))
(* a (+ (* -1 (log t)) (/ (* t (+ 1 (* 1/2 (/ (log t) t)))) a)))
(* -1 (/ (* a (log t)) t))
(* a (+ (* -1 (/ (log t) t)) (+ (* 1/2 (/ (log t) (* a t))) (/ 1 a))))
(* a (+ (* -1 (/ (log t) t)) (+ (* 1/2 (/ (log t) (* a t))) (/ 1 a))))
(* a (+ (* -1 (/ (log t) t)) (+ (* 1/2 (/ (log t) (* a t))) (/ 1 a))))
(* a (log t))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a)))
(* a (log t))
(* a (- (+ (log t) (/ (log (* z (+ x y))) a)) (+ (* 1/2 (/ (log t) a)) (/ t a))))
(* a (- (+ (log t) (/ (log (* z (+ x y))) a)) (+ (* 1/2 (/ (log t) a)) (/ t a))))
(* a (- (+ (log t) (/ (log (* z (+ x y))) a)) (+ (* 1/2 (/ (log t) a)) (/ t a))))
(* 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 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
a
(* -1 (* a (- (* 1/2 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/2 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/2 (/ 1 a)) 1)))
(* a (log t))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(* a (log t))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(* -1 (* a (log t)))
(* -1 (* a (+ (log t) (* -1 (/ (* t (+ 1 (* 1/2 (/ (log t) t)))) a)))))
(* -1 (* a (+ (log t) (* -1 (/ (* t (+ 1 (* 1/2 (/ (log t) t)))) a)))))
(* -1 (* a (+ (log t) (* -1 (/ (* t (+ 1 (* 1/2 (/ (log t) t)))) a)))))
(* -1 (/ (* a (log t)) t))
(* -1 (* a (+ (* -1 (/ (+ 1 (* 1/2 (/ (log t) t))) a)) (/ (log t) t))))
(* -1 (* a (+ (* -1 (/ (+ 1 (* 1/2 (/ (log t) t))) a)) (/ (log t) t))))
(* -1 (* a (+ (* -1 (/ (+ 1 (* 1/2 (/ (log t) t))) a)) (/ (log t) t))))
(* a (log t))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a)))))
(* a (log t))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (log (* z (+ x y))) (+ t (* 1/2 (log t)))) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (log (* z (+ x y))) (+ t (* 1/2 (log t)))) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (log (* z (+ x y))) (+ 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 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)))))
(log t)
(log t)
(log t)
(log 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)
(* -1 t)
(* -1 t)
(* -1 t)
(+ (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 (pow t 2))
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-1
-1
-1
-1
1
1
1
1
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
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(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))
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(* -1 (/ (* (log t) (- a 1/2)) t))
(/ (+ t (* -1 (* (log t) (- a 1/2)))) t)
(/ (+ t (* -1 (* (log t) (- a 1/2)))) t)
(/ (+ t (* -1 (* (log t) (- a 1/2)))) t)
(+ (log (* z (+ x y))) (* (log t) (- a 1/2)))
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(+ (log (* z (+ x y))) (+ (* -1 t) (* (log t) (- a 1/2))))
(+ (log (* z (+ x y))) (+ (* -1 t) (* (log t) (- a 1/2))))
(+ (log (* z (+ x y))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))
(+ (log (* z (+ x y))) (+ (* -1 t) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))
(+ (log (* z (+ x y))) (+ (* -1 t) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))
(+ (log (* z (+ x y))) (+ (* -1 t) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))
(log (* z (+ x y)))
(+ (log (* z (+ x y))) (* -1 t))
(+ (log (* z (+ x y))) (* -1 t))
(+ (log (* z (+ x y))) (* -1 t))
(/ (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)
(/ (+ (log y) (log z)) t)
(/ (+ (log y) (+ (log z) (* -1 t))) t)
(/ (+ (log y) (+ (log z) (* -1 t))) t)
(/ (+ (log y) (+ (log z) (* -1 t))) t)
(/ (log y) t)
(/ (log y) t)
(/ (log y) t)
(/ (log y) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))
(/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))
(/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))
(/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))
(* -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 (log (/ 1 t)))
(* -1 (log (/ 1 t)))
(* -1 (log (/ 1 t)))
(* -1 (log (/ 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 t)
(* -1 t)
(* -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 (pow t 2))
(* -1 (pow t 2))
(* -1 (pow t 2))
(* -1 (pow t 2))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
-1
-1
-1
-1
1
1
1
1
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -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))
t
(* t (+ 1 (/ (* (log (/ 1 t)) (- a 1/2)) t)))
(* t (+ 1 (/ (* (log (/ 1 t)) (- a 1/2)) t)))
(* t (+ 1 (/ (* (log (/ 1 t)) (- a 1/2)) t)))
1
(+ 1 (/ (* (log (/ 1 t)) (- a 1/2)) t))
(+ 1 (/ (* (log (/ 1 t)) (- a 1/2)) t))
(+ 1 (/ (* (log (/ 1 t)) (- a 1/2)) t))
(* -1 t)
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log (* z (+ x y))) t)) 1))
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log (* z (+ x y))) t)) 1))
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log (* z (+ x y))) t)) 1))
(* -1 t)
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))) (/ (log (* z (+ x y))) t)) 1))
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))) (/ (log (* z (+ x y))) t)) 1))
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))) (/ (log (* z (+ x y))) t)) 1))
(* -1 t)
(* t (- (/ (log (* z (+ x y))) t) 1))
(* t (- (/ (log (* z (+ x y))) t) 1))
(* t (- (/ (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)
-1
(- (+ (/ (log y) t) (/ (log z) t)) 1)
(- (+ (/ (log y) t) (/ (log z) t)) 1)
(- (+ (/ (log y) t) (/ (log z) t)) 1)
(/ (log y) t)
(/ (log y) t)
(/ (log y) t)
(/ (log y) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(/ (log z) t)
(* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (+ 1/2 a)))
(* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (+ 1/2 a)))
(* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (+ 1/2 a)))
(* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (+ 1/2 a)))
(* -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 -1) (* -1 (log (/ -1 t))))
(+ (log -1) (* -1 (log (/ -1 t))))
(+ (log -1) (* -1 (log (/ -1 t))))
(+ (log -1) (* -1 (log (/ -1 t))))
(* -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)))))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -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)))))
(* -1 (pow t 2))
(* -1 (pow t 2))
(* -1 (pow t 2))
(* -1 (pow t 2))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
-1
-1
-1
-1
1
1
1
1
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -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)))))
t
(* -1 (* t (- (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) t) 1)))
(* -1 (* t (- (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) t) 1)))
(* -1 (* t (- (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) t) 1)))
1
(+ 1 (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) t)))
(+ 1 (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) t)))
(+ 1 (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) t)))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a))) t)))))
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(- (+ (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))))) t)
(+ (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 (* -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 (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t)
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (/ y x) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t)
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t)
(- (+ (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) (- (pow a 2) 1/4)) (+ 1/2 a))))) t)
(- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) t)
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x))) t)
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) t)
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) t)
(sqrt (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))
(+ (sqrt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (* 1/2 (* (/ y x) (sqrt (/ 1 (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))))
(+ (sqrt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (* -1 (/ (+ (* -1/2 (* y (sqrt (/ 1 (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) (* -1/2 (* (/ (- (* -1/2 (pow y 2)) (* 1/4 (/ (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) x) (sqrt (/ 1 (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))))) x)))
(+ (sqrt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (* -1/3 (pow y 3)) (* -1/2 (/ (* y (- (* -1/2 (pow y 2)) (* 1/4 (/ (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))) x) (sqrt (/ 1 (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))) (* 1/2 (* (sqrt (/ 1 (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))) (- (* -1/2 (pow y 2)) (* 1/4 (/ (pow y 2) (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))))) x)) (* -1/2 (* y (sqrt (/ 1 (+ (log (* -1 z)) (* -1 (log (/ -1 x))))))))) x)))
(- (+ (* -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)
Outputs
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
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(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
-1/2
#s(literal -1/2 binary64)
(- a 1/2)
(-.f64 a #s(literal 1/2 binary64))
(- a 1/2)
(-.f64 a #s(literal 1/2 binary64))
(- a 1/2)
(-.f64 a #s(literal 1/2 binary64))
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
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(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
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(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
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(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
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(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(* t (+ 1 (* 1/2 (/ (log t) t))))
(*.f64 (fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) #s(literal 1 binary64)) t)
(+ (* -1 (* a (log t))) (* t (+ 1 (* 1/2 (/ (log t) t)))))
(fma.f64 (neg.f64 a) (log.f64 t) (*.f64 (fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) #s(literal 1 binary64)) t))
(+ (* -1 (* a (log t))) (* t (+ 1 (* 1/2 (/ (log t) t)))))
(fma.f64 (neg.f64 a) (log.f64 t) (*.f64 (fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) #s(literal 1 binary64)) t))
(+ (* -1 (* a (log t))) (* t (+ 1 (* 1/2 (/ (log t) t)))))
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(+ 1 (* 1/2 (/ (log t) t)))
(fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t))))
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(+ 1 (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t))))
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(+ 1 (+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t))))
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(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t)
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
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(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t)
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)
(-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t)
(* -1/2 (log t))
(*.f64 (log.f64 t) #s(literal -1/2 binary64))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))
(* a (log t))
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(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(*.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a)) a)
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(*.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 t a)) a)
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
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a
(* a (- 1 (* 1/2 (/ 1 a))))
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(* a (log t))
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(* a (log t))
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(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
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(* -1 (* a (log t)))
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(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) t (neg.f64 (log.f64 t))) a)
(* a (+ (* -1 (log t)) (/ (* t (+ 1 (* 1/2 (/ (log t) t)))) a)))
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(* a (+ (* -1 (log t)) (/ (* t (+ 1 (* 1/2 (/ (log t) t)))) a)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (log.f64 t) t) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) t (neg.f64 (log.f64 t))) a)
(* -1 (/ (* a (log t)) t))
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(* a (log t))
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(* a (log t))
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a
(* -1 (* a (- (* 1/2 (/ 1 a)) 1)))
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(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t)
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(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t)
(-.f64 (+.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (log.f64 t) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t)
(- (+ (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) (- (pow a 2) 1/4)) (+ 1/2 a))))) t)
(-.f64 (+.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (log.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 z))) t)
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(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) t)
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(sqrt.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (sqrt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))) (* 1/2 (* (/ y x) (sqrt (/ 1 (+ (log (* -1 z)) (* -1 (log (/ -1 x)))))))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (sqrt.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
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(- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (/ y (* t x)) (/ (log (* -1 z)) t))) 1)
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(- (+ (* -1 (/ (log (/ -1 x)) t)) (+ (* -1 (/ (+ (* -1 (/ y t)) (* 1/2 (/ (pow y 2) (* t x)))) x)) (/ (log (* -1 z)) t))) 1)
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(- (+ (* -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)
(-.f64 (-.f64 (-.f64 (/.f64 (log.f64 (neg.f64 z)) t) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) t) #s(literal 1/3 binary64) (*.f64 (*.f64 y (/.f64 y t)) #s(literal -1/2 binary64))) (neg.f64 x)) (/.f64 y t)) x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) t)) #s(literal 1 binary64))

rewrite236.0ms (1.7%)

Memory
-17.7MiB live, 212.5MiB allocated
Rules
3 546×lower-/.f32
3 536×lower-/.f64
3 190×lower-fma.f32
3 184×lower-fma.f64
3 118×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065331
0101316
1409264
23506260
08153253
Stop Event
iter limit
node limit
iter limit
Counts
25 → 726
Calls
Call 1
Inputs
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))))
(-.f64 a #s(literal 1/2 binary64))
(log.f64 t)
#s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))))
(/.f64 (*.f64 (neg.f64 t) t) t)
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
(*.f64 (neg.f64 t) t)
(neg.f64 t)
(*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))))
(*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)
(fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)))
(log.f64 (*.f64 (+.f64 x y) z))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64))
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t)
(sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z)))
#s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64))))
(+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))
(/.f64 (log.f64 y) t)
(/.f64 (log.f64 z) t)
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64)))
Outputs
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eval338.0ms (2.4%)

Memory
35.0MiB live, 460.5MiB allocated
Compiler

Compiled 46 730 to 4 727 computations (89.9% saved)

prune201.0ms (1.4%)

Memory
19.5MiB live, 251.5MiB allocated
Pruning

60 alts after pruning (58 fresh and 2 done)

PrunedKeptTotal
New1 763141 777
Fresh104454
Picked415
Done011
Total1 777601 837
Accuracy
100.0%
Counts
1 837 → 60
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.4%
(fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (-.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
57.4%
(fma.f64 (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
62.2%
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z))))
47.6%
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)))))
99.2%
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 y))) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))))
75.2%
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)))
67.8%
(fma.f64 (*.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 a a (fma.f64 #s(literal -1/2 binary64) a #s(literal 1/4 binary64)))) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))))
65.6%
(fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))))
31.7%
(pow.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
13.4%
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
31.8%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
17.6%
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (log.f64 t))))) #s(literal 2 binary64)))
44.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (-.f64 a #s(literal -1/2 binary64))) (fma.f64 (fma.f64 (neg.f64 t) t (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))))))
73.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 y z))) t))))
27.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 x z))) t))))
25.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 t (pow.f64 (log.f64 t) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 t))) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (pow.f64 (log.f64 t) #s(literal 2 binary64)))) (neg.f64 a)) (/.f64 #s(literal 1 binary64) (log.f64 t))) (neg.f64 a))))
38.5%
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t)))
57.4%
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (fma.f64 (/.f64 (log.f64 t) (pow.f64 (fma.f64 a a #s(literal -1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) a)) t))
73.9%
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (-.f64 (/.f64 (*.f64 #s(literal 3 binary64) (log.f64 t)) (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 t)) (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
74.2%
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)))))
64.2%
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 (log.f64 t))) #s(literal 1 binary64)) t)))
50.3%
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) t) #s(literal 1 binary64)) t)))
19.0%
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (*.f64 (neg.f64 a) (/.f64 (log.f64 t) t))) t)))
31.4%
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) #s(literal 1 binary64)) t)))
74.0%
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
27.7%
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) #s(approx (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
36.9%
(+.f64 (-.f64 (-.f64 (log.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z)) (log.f64 (-.f64 y x))) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
27.6%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (pow.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
68.1%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 a a (fma.f64 #s(literal -1/2 binary64) a #s(literal 1/4 binary64)))))
52.2%
(+.f64 #s(approx (- (pow (sqrt (log (* (+ x y) z))) 2) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
75.1%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
30.4%
(exp.f64 (log.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
52.3%
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)))) a (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 2 binary64))))
53.4%
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) (fma.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal -1 binary64) #s(literal 1 binary64))) t))
35.2%
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t)))
64.3%
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (fma.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) t (neg.f64 t)))
74.0%
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t))
27.1%
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t))
50.3%
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
99.2%
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
67.2%
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a)) (/.f64 t a)) a))
64.3%
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t))
57.2%
#s(approx (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (fma.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)))
66.0%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t))
71.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t)) #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) #s(literal 1 binary64)) t))
87.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (fma.f64 (+.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)))
12.3%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
17.4%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t)))
17.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))) t) (+.f64 #s(literal 0 binary64) t)))
19.6%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t))
19.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t))))
17.4%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t))))
9.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))))
17.4%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t))))
19.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
10.0%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t))))
17.4%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t))))
19.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)))
18.3%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) t) (pow.f64 t #s(literal -1 binary64))))))
38.6%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
Compiler

Compiled 3 687 to 1 537 computations (58.3% saved)

regimes456.0ms (3.3%)

Memory
-35.5MiB live, 562.8MiB allocated
Counts
117 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) #s(literal 1 binary64)) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(+.f64 #s(approx (- (pow (sqrt (log (* (+ x y) z))) 2) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) t) (pow.f64 t #s(literal -1 binary64))))))
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t))
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))))
#s(approx (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (fma.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (*.f64 (neg.f64 a) (/.f64 (log.f64 t) t))) t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) t) #s(literal 1 binary64)) t)))
(fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (-.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (log.f64 t))))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 x z))) t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 y z))) t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (fma.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) t (neg.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))) t) (+.f64 #s(literal 0 binary64) t)))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) t) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) (fma.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal -1 binary64) #s(literal 1 binary64))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z))))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (* (- a 1/2) (log t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(-.f64 #s(approx (log (* (+ x y) z)) (+.f64 (log.f64 y) (log.f64 z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(+.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 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)))))
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) #s(approx (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(fma.f64 (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 (log.f64 t))) #s(literal 1 binary64)) t)))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) #s(approx (* (- a 1/2) (log t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (fma.f64 (/.f64 (log.f64 t) (pow.f64 (fma.f64 a a #s(literal -1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) a)) t))
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(+.f64 (-.f64 (-.f64 (log.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z)) (log.f64 (-.f64 y x))) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 y))) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 x y))) t (*.f64 (neg.f64 t) (log.f64 z))) (*.f64 (neg.f64 t) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (fma.f64 (+.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t)))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a)) (/.f64 t a)) a))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) a)) (/.f64 t a)) a))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (fma.f64 (log.f64 t) (+.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) a))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t)) #s(literal -1 binary64) (/.f64 (log.f64 z) t)) (/.f64 (log.f64 (+.f64 y x)) t)) #s(literal 1 binary64)) t))
(exp.f64 (log.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))))
(exp.f64 (log.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
(pow.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (*.f64 (+.f64 x y) z)))) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (log.f64 t)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64))) #s(literal -1 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 a a (fma.f64 #s(literal -1/2 binary64) a #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 a a (fma.f64 #s(literal -1/2 binary64) a #s(literal 1/4 binary64)))) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (pow.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(+.f64 (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (-.f64 (/.f64 (*.f64 #s(literal 3 binary64) (log.f64 t)) (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 t)) (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (/.f64 (fma.f64 (*.f64 (+.f64 (log.f64 (*.f64 x z)) t) (fma.f64 a a #s(literal -1/4 binary64))) (log.f64 t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 (log.f64 (*.f64 x z)) t) (+.f64 #s(literal 1/2 binary64) a))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (-.f64 a #s(literal -1/2 binary64))) (fma.f64 (fma.f64 (neg.f64 t) t (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(fma.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))))) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 t (*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) a)) (/.f64 #s(literal 1 binary64) (log.f64 t))) (/.f64 #s(literal 1/2 binary64) (*.f64 a (log.f64 t)))) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) a))) a)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 t (pow.f64 (log.f64 t) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 t))) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (pow.f64 (log.f64 t) #s(literal 2 binary64)))) (neg.f64 a)) (/.f64 #s(literal 1 binary64) (log.f64 t))) (neg.f64 a))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (-.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (-.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) (-.f64 a #s(literal -1/2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) t)))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (fma.f64 t t (*.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) t)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 t (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)))))
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)))) a (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64))) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 2 binary64))))
Outputs
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Calls

11 calls:

53.0ms
y
50.0ms
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
50.0ms
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
40.0ms
(+.f64 x y)
37.0ms
t
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1z
99.5%1t
99.5%1a
99.5%1(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
99.5%1(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
99.5%1(log.f64 (+.f64 x y))
99.5%1(+.f64 x y)
99.5%1(log.f64 z)
99.5%1(-.f64 a #s(literal 1/2 binary64))
Compiler

Compiled 40 to 75 computations (-87.5% saved)

regimes334.0ms (2.4%)

Memory
18.4MiB live, 408.7MiB allocated
Counts
79 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) #s(literal 1 binary64)) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(+.f64 #s(approx (- (pow (sqrt (log (* (+ x y) z))) 2) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) t) (pow.f64 t #s(literal -1 binary64))))))
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t))
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))))
#s(approx (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (fma.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (*.f64 (neg.f64 a) (/.f64 (log.f64 t) t))) t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) t) #s(literal 1 binary64)) t)))
(fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (-.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (log.f64 t))))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 x z))) t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 y z))) t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (fma.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) t (neg.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))) t) (+.f64 #s(literal 0 binary64) t)))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) t) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) (fma.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal -1 binary64) #s(literal 1 binary64))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z))))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (* (- a 1/2) (log t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(-.f64 #s(approx (log (* (+ x y) z)) (+.f64 (log.f64 y) (log.f64 z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(+.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 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t (fma.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)))))
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)) t) #s(approx (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(fma.f64 (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 (log.f64 t))) #s(literal 1 binary64)) t)))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) #s(literal 1 binary64)))))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) #s(approx (* (- a 1/2) (log t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
Outputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Calls

11 calls:

61.0ms
z
39.0ms
(+.f64 x y)
32.0ms
x
30.0ms
(+.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)
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
99.5%1(log.f64 (+.f64 x y))
99.5%1(+.f64 x y)
99.5%1z
99.5%1t
99.5%1a
99.5%1(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
99.5%1(log.f64 z)
99.5%1(-.f64 a #s(literal 1/2 binary64))
Compiler

Compiled 40 to 75 computations (-87.5% saved)

regimes369.0ms (2.7%)

Memory
46.7MiB live, 453.4MiB allocated
Counts
68 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) #s(literal 1 binary64)) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(+.f64 #s(approx (- (pow (sqrt (log (* (+ x y) z))) 2) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) t) (pow.f64 t #s(literal -1 binary64))))))
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t))
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))))
#s(approx (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (fma.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (*.f64 (neg.f64 a) (/.f64 (log.f64 t) t))) t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) t) #s(literal 1 binary64)) t)))
(fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (-.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (log.f64 t))))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 x z))) t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 y z))) t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (fma.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) t (neg.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))) t) (+.f64 #s(literal 0 binary64) t)))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) t) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) (fma.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal -1 binary64) #s(literal 1 binary64))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z))))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (* (- a 1/2) (log t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(-.f64 #s(approx (log (* (+ x y) z)) (+.f64 (log.f64 y) (log.f64 z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
Calls

11 calls:

61.0ms
y
54.0ms
(+.f64 x y)
45.0ms
x
39.0ms
(log.f64 z)
31.0ms
t
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1z
99.2%1t
99.2%1a
99.2%1(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
99.2%1(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
99.2%1(log.f64 (+.f64 x y))
99.2%1(+.f64 x y)
99.2%1(log.f64 z)
99.2%1(-.f64 a #s(literal 1/2 binary64))
Compiler

Compiled 40 to 75 computations (-87.5% saved)

regimes275.0ms (2%)

Memory
-36.0MiB live, 483.4MiB allocated
Counts
61 → 2
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) #s(literal 1 binary64)) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(+.f64 #s(approx (- (pow (sqrt (log (* (+ x y) z))) 2) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) t) (pow.f64 t #s(literal -1 binary64))))))
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t))
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))))
#s(approx (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (fma.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (*.f64 (neg.f64 a) (/.f64 (log.f64 t) t))) t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) t) #s(literal 1 binary64)) t)))
(fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (-.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (log.f64 t))))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 x z))) t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 y z))) t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (fma.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) t (neg.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))) t) (+.f64 #s(literal 0 binary64) t)))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) t) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) (fma.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal -1 binary64) #s(literal 1 binary64))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)))
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))
Calls

11 calls:

38.0ms
y
36.0ms
(log.f64 (+.f64 x y))
29.0ms
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
27.0ms
x
24.0ms
(-.f64 a #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
80.2%3x
85.6%2y
86.1%2z
98.8%2t
88.7%3a
98.5%2(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
95.1%3(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
85.6%2(log.f64 (+.f64 x y))
85.6%2(+.f64 x y)
86.1%2(log.f64 z)
88.3%3(-.f64 a #s(literal 1/2 binary64))
Compiler

Compiled 40 to 75 computations (-87.5% saved)

regimes68.0ms (0.5%)

Memory
17.2MiB live, 126.6MiB allocated
Counts
60 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) #s(literal 1 binary64)) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(+.f64 #s(approx (- (pow (sqrt (log (* (+ x y) z))) 2) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) t) (pow.f64 t #s(literal -1 binary64))))))
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t))
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (*.f64 t #s(approx (+ (* (pow t -1) (log (* (+ x y) z))) -1) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))))
#s(approx (+ (- (pow (sqrt (log (* (+ x y) z))) 2) t) (/ (* (+ (* a a) -1/4) (log t)) (- a -1/2))) (fma.f64 (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (*.f64 (neg.f64 a) (/.f64 (log.f64 t) t))) t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) t) #s(literal 1 binary64)) t)))
(fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (-.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 (fma.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (log.f64 t) #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (log.f64 t))))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 x z))) t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 #s(approx (log (* z (+ y x))) (log.f64 (*.f64 y z))) t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (fma.f64 (fma.f64 (log.f64 t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) t (neg.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 t t))) t) (+.f64 #s(literal 0 binary64) t)))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (*.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) t) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (neg.f64 (log.f64 t))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) (fma.f64 (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal -1 binary64) #s(literal 1 binary64))) t))
Outputs
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))
Calls

3 calls:

24.0ms
t
20.0ms
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
20.0ms
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Results
AccuracySegmentsBranch
95.1%3(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
94.8%3(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
89.6%2t
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes39.0ms (0.3%)

Memory
-8.3MiB live, 26.7MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) #s(literal 1 binary64)) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(+.f64 #s(approx (- (pow (sqrt (log (* (+ x y) z))) 2) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) t) (pow.f64 t #s(literal -1 binary64))))))
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t))
#s(approx (/ 1 (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t))
(-.f64 (log.f64 #s(approx (* (+ x y) z) (*.f64 y z))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
Outputs
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))
Calls

1 calls:

36.0ms
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
Results
AccuracySegmentsBranch
94.9%3(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
Compiler

Compiled 7 to 9 computations (-28.6% saved)

regimes32.0ms (0.2%)

Memory
-27.0MiB live, 62.3MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) #s(literal 1 binary64)) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(+.f64 #s(approx (- (pow (sqrt (log (* (+ x y) z))) 2) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) t) (pow.f64 t #s(literal -1 binary64))))))
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 x z))) t))
Outputs
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))
#s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))
Calls

2 calls:

16.0ms
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
10.0ms
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Results
AccuracySegmentsBranch
94.5%3(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
75.2%1(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
Compiler

Compiled 23 to 24 computations (-4.3% saved)

regimes106.0ms (0.8%)

Memory
-2.0MiB live, 211.1MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(approx (- t (* (log t) (- a 1/2))) (*.f64 #s(approx (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) #s(literal 1 binary64)) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) (pow.f64 t #s(literal -1 binary64))))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
(+.f64 #s(approx (- (pow (sqrt (log (* (+ x y) z))) 2) t) (neg.f64 t)) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (-.f64 a #s(literal -1/2 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) t) (pow.f64 t #s(literal -1 binary64))))))
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 a #s(literal -1/2 binary64))))
Outputs
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))
Calls

10 calls:

14.0ms
z
12.0ms
(log.f64 (+.f64 x y))
11.0ms
x
11.0ms
t
10.0ms
(-.f64 a #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
75.2%1x
75.2%1y
75.2%1(log.f64 (+.f64 x y))
75.2%1(+.f64 x y)
75.2%1z
75.2%1(log.f64 z)
75.2%1(-.f64 a #s(literal 1/2 binary64))
75.2%1a
75.2%1t
75.2%1(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Compiler

Compiled 33 to 66 computations (-100% saved)

regimes123.0ms (0.9%)

Memory
23.0MiB live, 103.6MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (- a -1/2)) (* (+ t (log (* z (+ y x)))) (* (+ (* a a) -1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (- a -1/2))) (*.f64 a (log.f64 t)))
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
Calls

11 calls:

37.0ms
z
31.0ms
(log.f64 (+.f64 x y))
6.0ms
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
6.0ms
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
6.0ms
t
Results
AccuracySegmentsBranch
44.3%3y
62.4%3a
46.7%5(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
44.3%3(log.f64 (+.f64 x y))
44.3%3(+.f64 x y)
62.4%3(-.f64 a #s(literal 1/2 binary64))
44.5%3x
55.5%2(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
45.8%3z
60.8%2t
45.8%3(log.f64 z)
Compiler

Compiled 40 to 75 computations (-87.5% saved)

regimes89.0ms (0.6%)

Memory
-25.7MiB live, 130.2MiB allocated
Accuracy

Total -18.6b remaining (-47.4%)

Threshold costs -18.6b (-47.4%)

Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (/.f64 #s(literal -1 binary64) t)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (log t) (- a 1/2)) (- (log (* (+ x y) z)) t)) -1/2) 2) (/.f64 #s(literal -1 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 t t)) t) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 (-.f64 t #s(literal 0 binary64)) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) (*.f64 t t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 t (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) (*.f64 t t)) (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 0 binary64) t)))
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
Calls

11 calls:

26.0ms
(-.f64 a #s(literal 1/2 binary64))
9.0ms
y
8.0ms
(log.f64 z)
7.0ms
(+.f64 x y)
6.0ms
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Results
AccuracySegmentsBranch
38.6%1(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
38.6%1y
38.6%1(log.f64 (+.f64 x y))
38.6%1(+.f64 x y)
38.6%1x
38.6%1z
38.6%1(log.f64 z)
38.6%1(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
38.6%1t
38.6%1a
38.6%1(-.f64 a #s(literal 1/2 binary64))
Compiler

Compiled 40 to 75 computations (-87.5% saved)

bsearch20.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
0.33264010675999245
162.05382107725882
Samples
12.0ms128×0valid
Compiler

Compiled 211 to 247 computations (-17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-log: 4.0ms (49.8% of total)
ival-add: 2.0ms (24.9% of total)
ival-sub: 1.0ms (12.5% of total)
ival-mult: 1.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
707.0532711004348
717.0431089525507
0.0ms
-579.415387102447
-576.65265061248
Compiler

Compiled 19 to 23 computations (-21.1% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
707.0532711004348
717.0431089525507
0.0ms
-579.415387102447
-576.65265061248
Compiler

Compiled 19 to 23 computations (-21.1% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
941.4178741905461
1117.2602444338474
0.0ms
-25377350655970628000.0
-118988655.5974042
Compiler

Compiled 19 to 23 computations (-21.1% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.459026303108273e+73
1.0072157557624174e+81
0.0ms
-6.40537136173715e+79
-3.0488262246081118e+69
Compiler

Compiled 19 to 23 computations (-21.1% saved)

simplify72.0ms (0.5%)

Memory
-8.9MiB live, 29.8MiB allocated
Algorithm
egg-herbie
Rules
32×+-commutative-binary64-+.f64
16×sub-neg-binary64-neg.f64-+.f64--.f64
12×*-commutative-binary64-*.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105600
1130600
2140600
3143600
4144600
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.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 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
(if (<=.f64 t #s(literal 140 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))))
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -578 binary64)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 710 binary64)) (-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))))
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -578 binary64)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 710 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))))
(if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal -20000000000000000000 binary64)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) (if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 1000 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
Outputs
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (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))) #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 (+.f64 y x)) t)) t (neg.f64 t))))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y)) t))
(if (<=.f64 t #s(literal 140 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))))
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -578 binary64)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 710 binary64)) (-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))))
(if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #s(literal -578 binary64)) (+.f64 (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t))) (if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #s(literal 710 binary64)) (-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 y x) z))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))))
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -578 binary64)) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 710 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))))
(if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #s(literal -578 binary64)) (+.f64 (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t))) (if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #s(literal 710 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))))
(if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal -20000000000000000000 binary64)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) (if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 1000 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))))
(if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #s(literal -20000000000000000000 binary64)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t)))) (if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #s(literal 1000 binary64)) #s(approx (/ 1 (/ 1 (+ (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t)))) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 y x) z))) t)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (- (+ (log (+ x y)) (log z)) t) #s(approx (* t (+ (* (pow t -1) (log (* (+ x y) z))) -1)) (neg.f64 t))))
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))))
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))

soundness1.1s (7.9%)

Memory
14.3MiB live, 837.2MiB allocated
Rules
16 372×lower-fma.f64
16 372×lower-fma.f32
6 418×lower-fma.f64
6 418×lower-fma.f32
6 198×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056332
095279
1417275
23432275
08415271
01544
02441
110241
283741
0828040
0147521139
1433620208
0821119363
0234534244
1777634244
0801032712
03823187
111013021
235062976
083122824
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 884 to 491 computations (44.5% saved)

preprocess235.0ms (1.7%)

Memory
4.0MiB live, 161.6MiB allocated
Remove

(sort x y)

Compiler

Compiled 850 to 366 computations (56.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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