Numeric.SpecFunctions:stirlingError from math-functions-0.1.5.2

Time bar (total: 14.5s)

analyze1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
100%49.9%0%0.1%0%49.9%0%3
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.2s (8.2%)

Memory
15.8MiB live, 1 284.6MiB allocated
Samples
887.0ms8 254×0valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 524.0ms
ival-log: 167.0ms (31.9% of total)
ival-add: 165.0ms (31.5% of total)
ival-sub: 123.0ms (23.5% of total)
ival-mult: 56.0ms (10.7% of total)
ival-true: 6.0ms (1.1% of total)
exact: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess274.0ms (1.9%)

Memory
-2.0MiB live, 355.7MiB allocated
Algorithm
egg-herbie
Rules
4 224×accelerator-lowering-fma.f32
4 224×accelerator-lowering-fma.f64
1 038×associate-+l-
1 008×+-lowering-+.f64
1 008×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041131
1125125
2484123
32087122
44936122
56339122
67365122
77764122
01012
12412
27412
329312
484412
5219912
6313812
7378512
8386412
9386512
10386512
11390312
12391012
13391012
0391011
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
Outputs
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
Call 2
Inputs
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
(- (+ (- (neg x) (* (+ y 1/2) (log y))) y) z)
(- (+ (- x (* (+ (neg y) 1/2) (log (neg y)))) (neg y)) z)
(- (+ (- x (* (+ y 1/2) (log y))) y) (neg z))
(neg (- (+ (- (neg x) (* (+ y 1/2) (log y))) y) z))
(neg (- (+ (- x (* (+ (neg y) 1/2) (log (neg y)))) (neg y)) z))
(neg (- (+ (- x (* (+ y 1/2) (log y))) y) (neg z)))
(- (+ (- y (* (+ x 1/2) (log x))) x) z)
(- (+ (- z (* (+ y 1/2) (log y))) y) x)
(- (+ (- x (* (+ z 1/2) (log z))) z) y)
Outputs
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
(+ (* (log y) (- -1/2 y)) (+ y (- x z)))
(- (+ (- (neg x) (* (+ y 1/2) (log y))) y) z)
(+ (* (log y) (- -1/2 y)) (- (- y z) x))
(- (+ (- x (* (+ (neg y) 1/2) (log (neg y)))) (neg y)) z)
(+ (* (log (neg y)) (+ y -1/2)) (- x (+ y z)))
(- (+ (- x (* (+ y 1/2) (log y))) y) (neg z))
(+ (* (log y) (- -1/2 y)) (+ z (+ x y)))
(neg (- (+ (- (neg x) (* (+ y 1/2) (log y))) y) z))
(+ (* (+ y 1/2) (log y)) (+ x (- z y)))
(neg (- (+ (- x (* (+ (neg y) 1/2) (log (neg y)))) (neg y)) z))
(+ (* (- 1/2 y) (log (neg y))) (+ z (- y x)))
(neg (- (+ (- x (* (+ y 1/2) (log y))) y) (neg z)))
(- (* (+ y 1/2) (log y)) (+ x (+ y z)))
(- (+ (- y (* (+ x 1/2) (log x))) x) z)
(+ (* (log x) (- -1/2 x)) (- (+ x y) z))
(- (+ (- z (* (+ y 1/2) (log y))) y) x)
(+ (* (log y) (- -1/2 y)) (+ z (- y x)))
(- (+ (- x (* (+ z 1/2) (log z))) z) y)
(+ (* (log z) (- -1/2 z)) (+ x (- z y)))

explain199.0ms (1.4%)

Memory
-6.5MiB live, 284.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 y #s(literal 1/2 binary64))
00-0-(log.f64 y)
00-0-(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
00-0-(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
00-0-z
00-0-(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
00-0-y
00-0-(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
00-0-#s(literal 1/2 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
48.0ms512×0valid
Compiler

Compiled 124 to 44 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-log: 14.0ms (45.9% of total)
ival-add: 7.0ms (23% of total)
ival-sub: 4.0ms (13.1% of total)
ival-mult: 3.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Compiler

Compiled 15 to 10 computations (33.3% saved)

prune1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify181.0ms (1.2%)

Memory
25.7MiB live, 303.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
cost-diff0
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
cost-diff0
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
cost-diff0
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
Rules
4 224×accelerator-lowering-fma.f32
4 224×accelerator-lowering-fma.f64
1 008×+-lowering-+.f64
1 008×--lowering--.f32
1 008×+-lowering-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01045
12445
27445
329345
484445
5219945
6313845
7378545
8386445
9386545
10386545
11390345
12391045
13391045
0391042
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
(+ (- x (* (+ y 1/2) (log y))) y)
(- x (* (+ y 1/2) (log y)))
x
(* (+ y 1/2) (log y))
(+ y 1/2)
y
1/2
(log y)
z
Outputs
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(+ (- x (* (+ y 1/2) (log y))) y)
(-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(- x (* (+ y 1/2) (log y)))
(+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
x
(* (+ y 1/2) (log y))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)
(log y)
(log.f64 y)
z

localize36.0ms (0.2%)

Memory
-45.8MiB live, 83.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
accuracy100.0%
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
accuracy99.9%
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
accuracy99.8%
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
Samples
20.0ms256×0valid
Compiler

Compiled 47 to 12 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-log: 3.0ms (26.5% of total)
ival-add: 3.0ms (26.5% of total)
ival-mult: 3.0ms (26.5% of total)
ival-sub: 2.0ms (17.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.2%)

Memory
27.0MiB live, 27.0MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (- (+ (- x (* (+ y 1/2) (log y))) y) z)>
#<alt (+ (- x (* (+ y 1/2) (log y))) y)>
#<alt (- x (* (+ y 1/2) (log y)))>
#<alt (* (+ y 1/2) (log y))>
Outputs
#<alt (- y (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (- x (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (- y (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))>
#<alt (- x (* 1/2 (log y)))>
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))>
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))>
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* (log y) (+ 1/2 y)))>
#<alt (- x (* (log y) (+ 1/2 y)))>
#<alt (- x (* (log y) (+ 1/2 y)))>
#<alt (- x (* (log y) (+ 1/2 y)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))>
#<alt (- x (* 1/2 (log y)))>
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))>
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))>
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))>
#<alt (* y (log (/ 1 y)))>
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))>
#<alt (* 1/2 (log y))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
Calls

24 calls:

TimeVariablePointExpression
18.0ms
x
@0
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
4.0ms
y
@0
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
3.0ms
y
@-inf
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
2.0ms
y
@inf
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
1.0ms
z
@0
(- (+ (- x (* (+ y 1/2) (log y))) y) z)

rewrite477.0ms (3.3%)

Memory
-12.3MiB live, 1 054.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 014×accelerator-lowering-fma.f32
9 014×accelerator-lowering-fma.f64
5 554×*-lowering-*.f32
5 554×*-lowering-*.f64
4 034×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
17336
269336
0882733
Stop Event
iter limit
node limit
Counts
4 → 354
Calls
Call 1
Inputs
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
(+ (- x (* (+ y 1/2) (log y))) y)
(- x (* (+ y 1/2) (log y)))
(* (+ y 1/2) (log y))
Outputs
(+.f64 x (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 y z)))
(+.f64 x (neg.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z))))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
(+.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))))
(+.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (-.f64 y z))
(+.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)))
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z)))
(+.f64 (-.f64 y z) (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))
(+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) #s(literal 2 binary64)) (*.f64 z (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z)))))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) #s(literal 2 binary64)) (*.f64 z (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z))))))))
(+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) #s(literal 2 binary64)) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z)))) (neg.f64 (/.f64 (*.f64 z z) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z))))))
(+.f64 (+.f64 y x) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(literal 0 binary64) z)))
(+.f64 (+.f64 y x) (-.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) z))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) x) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) y))
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(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))) y)
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(+.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) y))
(+.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y)))
(fma.f64 y (log.f64 y) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 y) (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) y (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(fma.f64 (log.f64 y) #s(literal 1/2 binary64) (*.f64 (log.f64 y) y))
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (log.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y))))
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 y #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (log.f64 y)) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (log.f64 y)) (+.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 y #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (log.f64 y))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y))) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) y)) (-.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) y)) (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y (log.f64 y)) (*.f64 y (log.f64 y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (*.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (-.f64 (*.f64 (*.f64 y (log.f64 y)) (*.f64 y (log.f64 y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) y)) (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) y))) (-.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y (log.f64 y)) (*.f64 y (log.f64 y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))) (-.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (*.f64 (*.f64 y (log.f64 y)) (*.f64 y (log.f64 y)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y))))
(/.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (log.f64 y) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1/4 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (log.f64 y) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (log.f64 y)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1/4 binary64)) (log.f64 y)) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y)) (-.f64 #s(literal 1/2 binary64) y))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64))))) (log.f64 y)))
(*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) (log.f64 y)))
(*.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64))))))
(*.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64))))))
(*.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))

simplify373.0ms (2.6%)

Memory
27.3MiB live, 784.3MiB allocated
Algorithm
egg-herbie
Rules
12 810×accelerator-lowering-fma.f32
12 810×accelerator-lowering-fma.f64
3 236×*-lowering-*.f32
3 236×*-lowering-*.f64
2 922×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01271274
14151196
213191105
347031074
08540991
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(- y (+ z (* (log y) (+ 1/2 y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(- x (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(- y (* (log y) (+ 1/2 y)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x y) (* (log y) (+ 1/2 y)))
x
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
x
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(- x (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* (log y) (+ 1/2 y)))
(- x (* (log y) (+ 1/2 y)))
(- x (* (log y) (+ 1/2 y)))
(- x (* (log y) (+ 1/2 y)))
x
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
x
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(- x (* 1/2 (log y)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(* y (log (/ 1 y)))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* 1/2 (log y))
(+ (* 1/2 (log y)) (* y (log y)))
(+ (* 1/2 (log y)) (* y (log y)))
(+ (* 1/2 (log y)) (* y (log y)))
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
Outputs
(- y (+ z (* (log y) (+ 1/2 y))))
(+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x))) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x))) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x))) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x))) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x))) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x))) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- x (+ z (* 1/2 (log y))))
(+.f64 x (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
(* y (- 1 (* -1 (log (/ 1 y)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(*.f64 y (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(*.f64 y (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(*.f64 y (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z)))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z)))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z)))))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
(- y (* (log y) (+ 1/2 y)))
(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(- (+ x y) (* (log y) (+ 1/2 y)))
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
x
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)))
x
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)))
(- x (* 1/2 (log y)))
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(* y (- 1 (* -1 (log (/ 1 y)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(* -1 (* (log y) (+ 1/2 y)))
(*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))
(- x (* (log y) (+ 1/2 y)))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(- x (* (log y) (+ 1/2 y)))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(- x (* (log y) (+ 1/2 y)))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
x
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
x
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(- x (* 1/2 (log y)))
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(* y (log (/ 1 y)))
(*.f64 y (-.f64 #s(literal 0 binary64) (log.f64 y)))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 y (/.f64 x y)))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 y (/.f64 x y)))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 y (/.f64 x y)))
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(*.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))))
(* 1/2 (log y))
(*.f64 (log.f64 y) #s(literal 1/2 binary64))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))))

eval74.0ms (0.5%)

Memory
-16.6MiB live, 183.6MiB allocated
Compiler

Compiled 14 824 to 1 419 computations (90.4% saved)

prune68.0ms (0.5%)

Memory
22.7MiB live, 182.4MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New43416450
Fresh000
Picked101
Done000
Total43516451
Accuracy
100.0%
Counts
451 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.2%
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (-.f64 y z))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z)))))
99.8%
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)
74.0%
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y)) (-.f64 #s(literal 1/2 binary64) y))) y) z)
99.8%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z)
72.4%
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
57.7%
(-.f64 (+.f64 x y) z)
58.7%
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
58.3%
(-.f64 x z)
32.2%
(-.f64 #s(literal 0 binary64) z)
68.8%
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
99.5%
(*.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z))) (*.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z))))))
79.9%
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z)))))
28.7%
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
81.9%
(*.f64 y (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))))
28.4%
x
Compiler

Compiled 516 to 326 computations (36.8% saved)

simplify392.0ms (2.7%)

Memory
-23.4MiB live, 661.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z)))
cost-diff0
(+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z))))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x))
cost-diff384
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z)))))
cost-diff0
(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
cost-diff0
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y)
cost-diff0
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z)
cost-diff128
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
cost-diff0
(log.f64 y)
cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 y))
cost-diff0
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
cost-diff0
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
cost-diff0
(-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)
cost-diff0
(-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y))
cost-diff0
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)
Rules
18 136×accelerator-lowering-fma.f32
18 136×accelerator-lowering-fma.f64
2 872×*-lowering-*.f32
2 872×*-lowering-*.f64
1 576×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029196
184188
2231188
3660188
42070188
56307188
08237180
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (- x (- (* (+ y 1/2) (log y)) y)) z)
(- x (- (* (+ y 1/2) (log y)) y))
x
(- (* (+ y 1/2) (log y)) y)
(* (+ y 1/2) (log y))
(+ y 1/2)
y
1/2
(log y)
z
x
(* y (- 1 (log y)))
y
(- 1 (log y))
1
(log y)
(- (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) z)
(+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y)
(- x (/ (log y) (/ 1 (+ y 1/2))))
x
(/ (log y) (/ 1 (+ y 1/2)))
(log y)
y
(/ 1 (+ y 1/2))
1
(+ y 1/2)
1/2
z
(* z (+ -1 (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z)))))
z
(+ -1 (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z))))
-1
(+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z)))
(* (/ 1 z) (+ y x))
(/ 1 z)
1
(+ y x)
y
x
(* (log y) (/ (- -1/2 y) z))
(log y)
(/ (- -1/2 y) z)
(- -1/2 y)
-1/2
Outputs
(- (- x (- (* (+ y 1/2) (log y)) y)) z)
(+.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (-.f64 y z))
(- x (- (* (+ y 1/2) (log y)) y))
(+.f64 (+.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
x
(- (* (+ y 1/2) (log y)) y)
(-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)
(* (+ y 1/2) (log y))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)
(log y)
(log.f64 y)
z
x
(* y (- 1 (log y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
y
(- 1 (log y))
(-.f64 #s(literal 1 binary64) (log.f64 y))
1
#s(literal 1 binary64)
(log y)
(log.f64 y)
(- (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) z)
(+.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (-.f64 y z))
(+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y)
(+.f64 (+.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- x (/ (log y) (/ 1 (+ y 1/2))))
(+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
x
(/ (log y) (/ 1 (+ y 1/2)))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
(log y)
(log.f64 y)
y
(/ 1 (+ y 1/2))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
z
(* z (+ -1 (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z)))))
(+.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (-.f64 y z))
z
(+ -1 (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z))))
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 x y) z) (/.f64 (log.f64 y) (/.f64 z (-.f64 #s(literal -1/2 binary64) y)))))
-1
#s(literal -1 binary64)
(+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z)))
(+.f64 (/.f64 (+.f64 x y) z) (/.f64 (log.f64 y) (/.f64 z (-.f64 #s(literal -1/2 binary64) y))))
(* (/ 1 z) (+ y x))
(/.f64 (+.f64 x y) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
(+ y x)
(+.f64 x y)
y
x
(* (log y) (/ (- -1/2 y) z))
(/.f64 (log.f64 y) (/.f64 z (-.f64 #s(literal -1/2 binary64) y)))
(log y)
(log.f64 y)
(/ (- -1/2 y) z)
(/.f64 (-.f64 #s(literal -1/2 binary64) y) z)
(- -1/2 y)
(-.f64 #s(literal -1/2 binary64) y)
-1/2
#s(literal -1/2 binary64)

localize93.0ms (0.6%)

Memory
22.8MiB live, 219.2MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x))
accuracy99.5%
(*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z))
accuracy90.1%
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z)))
accuracy80.8%
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z)))))
accuracy100.0%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z)
accuracy100.0%
(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
accuracy99.9%
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y)
accuracy99.7%
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
accuracy100.0%
(log.f64 y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (log.f64 y))
accuracy99.6%
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
accuracy100.0%
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)
accuracy100.0%
(-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y))
accuracy99.8%
(-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)
accuracy99.8%
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
Samples
50.0ms256×0valid
Compiler

Compiled 212 to 31 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sub: 7.0ms (22.3% of total)
ival-div: 7.0ms (22.3% of total)
ival-mult: 7.0ms (22.3% of total)
ival-add: 6.0ms (19.1% of total)
ival-log: 3.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series110.0ms (0.8%)

Memory
-13.4MiB live, 223.2MiB allocated
Counts
16 → 384
Calls
Call 1
Inputs
#<alt (- (- x (- (* (+ y 1/2) (log y)) y)) z)>
#<alt (- x (- (* (+ y 1/2) (log y)) y))>
#<alt (- (* (+ y 1/2) (log y)) y)>
#<alt (* (+ y 1/2) (log y))>
#<alt (* y (- 1 (log y)))>
#<alt (- 1 (log y))>
#<alt (log y)>
#<alt (/ (log y) (/ 1 (+ y 1/2)))>
#<alt (- (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) z)>
#<alt (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y)>
#<alt (- x (/ (log y) (/ 1 (+ y 1/2))))>
#<alt (* z (+ -1 (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z)))))>
#<alt (* (/ 1 z) (+ y x))>
#<alt (+ -1 (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z))))>
#<alt (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z)))>
#<alt (* (log y) (/ (- -1/2 y) z))>
Outputs
#<alt (- y (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (- x (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (- y (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))>
#<alt (- x (* 1/2 (log y)))>
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))>
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))>
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* 1/2 (log y))>
#<alt (+ (* 1/2 (log y)) (* y (- (log y) 1)))>
#<alt (+ (* 1/2 (log y)) (* y (- (log y) 1)))>
#<alt (+ (* 1/2 (log y)) (* y (- (log y) 1)))>
#<alt (* y (- (* -1 (log (/ 1 y))) 1))>
#<alt (* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))>
#<alt (* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))>
#<alt (* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))>
#<alt (* -1 (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))>
#<alt (* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))>
#<alt (* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))>
#<alt (* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))>
#<alt (* 1/2 (log y))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* y (- 1 (log y)))>
#<alt (* y (- 1 (log y)))>
#<alt (* y (- 1 (log y)))>
#<alt (* y (- 1 (log y)))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (- 1 (log y))>
#<alt (- 1 (log y))>
#<alt (- 1 (log y))>
#<alt (- 1 (log y))>
#<alt (- 1 (* -1 (log (/ 1 y))))>
#<alt (- 1 (* -1 (log (/ 1 y))))>
#<alt (- 1 (* -1 (log (/ 1 y))))>
#<alt (- 1 (* -1 (log (/ 1 y))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (* 1/2 (log y))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (- y (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (- x (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (- y (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))>
#<alt (- x (* 1/2 (log y)))>
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))>
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))>
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* (log y) (+ 1/2 y)))>
#<alt (- x (* (log y) (+ 1/2 y)))>
#<alt (- x (* (log y) (+ 1/2 y)))>
#<alt (- x (* (log y) (+ 1/2 y)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))>
#<alt (- x (* 1/2 (log y)))>
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))>
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))>
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))>
#<alt (* y (log (/ 1 y)))>
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))>
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))>
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))>
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))>
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))>
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))>
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (+ (* -1 (/ (+ x y) z)) (/ (* (log y) (+ 1/2 y)) z)))))>
#<alt (* -1 (* z (+ 1 (+ (* -1 (/ (+ x y) z)) (/ (* (log y) (+ 1/2 y)) z)))))>
#<alt (* -1 (* z (+ 1 (+ (* -1 (/ (+ x y) z)) (/ (* (log y) (+ 1/2 y)) z)))))>
#<alt (* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))>
#<alt (+ (* y (* z (+ (* -1 (/ (log y) z)) (/ 1 z)))) (* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1)))>
#<alt (+ (* y (* z (+ (* -1 (/ (log y) z)) (/ 1 z)))) (* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1)))>
#<alt (+ (* y (* z (+ (* -1 (/ (log y) z)) (/ 1 z)))) (* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1)))>
#<alt (* y (* z (+ (/ 1 z) (/ (log (/ 1 y)) z))))>
#<alt (* y (+ (* z (+ (/ 1 z) (/ (log (/ 1 y)) z))) (/ (* z (- (+ (* 1/2 (/ (log (/ 1 y)) z)) (/ x z)) 1)) y)))>
#<alt (* y (+ (* z (+ (/ 1 z) (/ (log (/ 1 y)) z))) (/ (* z (- (+ (* 1/2 (/ (log (/ 1 y)) z)) (/ x z)) 1)) y)))>
#<alt (* y (+ (* z (+ (/ 1 z) (/ (log (/ 1 y)) z))) (/ (* z (- (+ (* 1/2 (/ (log (/ 1 y)) z)) (/ x z)) 1)) y)))>
#<alt (* -1 (* y (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (* z (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1)) y)) (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z))))))>
#<alt (* -1 (* y (+ (* -1 (/ (* z (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1)) y)) (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z))))))>
#<alt (* -1 (* y (+ (* -1 (/ (* z (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1)) y)) (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z))))))>
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))>
#<alt (+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)))>
#<alt (+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)))>
#<alt (+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)))>
#<alt x>
#<alt (* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)))>
#<alt (* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)))>
#<alt (* x (+ 1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1)))>
#<alt (/ (+ x y) z)>
#<alt (/ (+ x y) z)>
#<alt (/ (+ x y) z)>
#<alt (/ (+ x y) z)>
#<alt (/ (+ x y) z)>
#<alt (/ (+ x y) z)>
#<alt (/ (+ x y) z)>
#<alt (/ (+ x y) z)>
#<alt (/ (+ x y) z)>
#<alt (/ (+ x y) z)>
#<alt (/ (+ x y) z)>
#<alt (/ (+ x y) z)>
#<alt (/ x z)>
#<alt (+ (/ x z) (/ y z))>
#<alt (+ (/ x z) (/ y z))>
#<alt (+ (/ x z) (/ y z))>
#<alt (/ y z)>
#<alt (* y (+ (/ 1 z) (/ x (* y z))))>
#<alt (* y (+ (/ 1 z) (/ x (* y z))))>
#<alt (* y (+ (/ 1 z) (/ x (* y z))))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z))))>
#<alt (/ y z)>
#<alt (+ (/ x z) (/ y z))>
#<alt (+ (/ x z) (/ y z))>
#<alt (+ (/ x z) (/ y z))>
#<alt (/ x z)>
#<alt (* x (+ (/ 1 z) (/ y (* x z))))>
#<alt (* x (+ (/ 1 z) (/ y (* x z))))>
#<alt (* x (+ (/ 1 z) (/ y (* x z))))>
#<alt (/ x z)>
#<alt (* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (/ (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) z)>
#<alt (/ (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) z)>
#<alt (/ (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) z)>
#<alt -1>
#<alt (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)>
#<alt (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)>
#<alt (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)>
#<alt -1>
#<alt (- (* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z)) 1)>
#<alt (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1)>
#<alt (- (+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z))) 1)>
#<alt (- (+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z))) 1)>
#<alt (- (+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z))) 1)>
#<alt (* y (+ (/ 1 z) (/ (log (/ 1 y)) z)))>
#<alt (* y (- (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z)))) (/ 1 y)))>
#<alt (* y (- (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z)))) (/ 1 y)))>
#<alt (* y (- (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z)))) (/ 1 y)))>
#<alt (* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z))))>
#<alt (* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1) y)) (/ (log -1) z))) (/ 1 z))))>
#<alt (* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1) y)) (/ (log -1) z))) (/ 1 z))))>
#<alt (* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1) y)) (/ (log -1) z))) (/ 1 z))))>
#<alt (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)>
#<alt (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)>
#<alt (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)>
#<alt (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)>
#<alt (/ x z)>
#<alt (* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x)))>
#<alt (* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x)))>
#<alt (* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x)))>
#<alt (/ x z)>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z))))>
#<alt (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z))>
#<alt (* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z))>
#<alt (* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z))>
#<alt (* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z))>
#<alt (+ (* -1/2 (/ (log y) z)) (/ x z))>
#<alt (+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z)))>
#<alt (+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z)))>
#<alt (+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z)))>
#<alt (* y (+ (/ 1 z) (/ (log (/ 1 y)) z)))>
#<alt (* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z)))))>
#<alt (* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z)))))>
#<alt (* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z)))))>
#<alt (* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z))))>
#<alt (* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) y)) (/ (log -1) z))) (/ 1 z))))>
#<alt (* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) y)) (/ (log -1) z))) (/ 1 z))))>
#<alt (* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) y)) (/ (log -1) z))) (/ 1 z))))>
#<alt (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z))>
#<alt (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))>
#<alt (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))>
#<alt (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))>
#<alt (/ x z)>
#<alt (* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))))>
#<alt (* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))))>
#<alt (* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))))>
#<alt (/ x z)>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z))))>
#<alt (* -1/2 (/ (log y) z))>
#<alt (+ (* -1 (/ (* y (log y)) z)) (* -1/2 (/ (log y) z)))>
#<alt (+ (* -1 (/ (* y (log y)) z)) (* -1/2 (/ (log y) z)))>
#<alt (+ (* -1 (/ (* y (log y)) z)) (* -1/2 (/ (log y) z)))>
#<alt (/ (* y (log (/ 1 y))) z)>
#<alt (* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (/ (log (/ 1 y)) z)))>
#<alt (* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (/ (log (/ 1 y)) z)))>
#<alt (* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (/ (log (/ 1 y)) z)))>
#<alt (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) z))>
#<alt (* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))) (/ (log -1) z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))) (/ (log -1) z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))) (/ (log -1) z)))))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))>
Calls

96 calls:

TimeVariablePointExpression
35.0ms
y
@0
(* y (- 1 (log y)))
27.0ms
z
@0
(+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z)))
14.0ms
y
@-inf
(* y (- 1 (log y)))
5.0ms
y
@inf
(* y (- 1 (log y)))
4.0ms
z
@inf
(+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z)))

rewrite418.0ms (2.9%)

Memory
29.8MiB live, 659.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 904×*-lowering-*.f32
5 904×*-lowering-*.f64
3 692×/-lowering-/.f32
3 692×/-lowering-/.f64
3 496×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029155
1241145
22531145
08767137
Stop Event
iter limit
node limit
Counts
16 → 853
Calls
Call 1
Inputs
(- (- x (- (* (+ y 1/2) (log y)) y)) z)
(- x (- (* (+ y 1/2) (log y)) y))
(- (* (+ y 1/2) (log y)) y)
(* (+ y 1/2) (log y))
(* y (- 1 (log y)))
(- 1 (log y))
(log y)
(/ (log y) (/ 1 (+ y 1/2)))
(- (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) z)
(+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y)
(- x (/ (log y) (/ 1 (+ y 1/2))))
(* z (+ -1 (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z)))))
(* (/ 1 z) (+ y x))
(+ -1 (+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z))))
(+ (* (/ 1 z) (+ y x)) (* (log y) (/ (- -1/2 y) z)))
(* (log y) (/ (- -1/2 y) z))
Outputs
(+.f64 x (neg.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z))))
(+.f64 x (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 y z)))
(+.f64 x (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) (-.f64 #s(literal 0 binary64) z)))
(+.f64 x (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z))
(+.f64 y (+.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 0 binary64) z)))
(+.f64 y (-.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z))
(+.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (-.f64 y z))
(+.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (-.f64 y z) (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))
(-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)))
(-.f64 x (-.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y) (-.f64 #s(literal 0 binary64) z)))
(-.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z)
(-.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (*.f64 z (+.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (*.f64 z (+.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z)) (/.f64 (*.f64 z z) (+.f64 (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z)))
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(pow.f64 (/.f64 z (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64))
(*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z))
(*.f64 (-.f64 #s(literal -1/2 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) z) (log.f64 y)))
(*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y))
(*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1 binary64) z))

simplify539.0ms (3.7%)

Memory
16.8MiB live, 836.7MiB allocated
Algorithm
egg-herbie
Rules
17 462×accelerator-lowering-fma.f32
17 462×accelerator-lowering-fma.f64
5 750×+-lowering-+.f64
5 750×+-lowering-+.f32
4 532×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02895505
19305193
230304830
081764650
Stop Event
iter limit
node limit
Counts
384 → 384
Calls
Call 1
Inputs
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(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
x
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(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
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(* y (- (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z)))) (/ 1 y)))
(* y (- (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z)))) (/ 1 y)))
(* y (- (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z)))) (/ 1 y)))
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z))))
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1) y)) (/ (log -1) z))) (/ 1 z))))
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1) y)) (/ (log -1) z))) (/ 1 z))))
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) 1) y)) (/ (log -1) z))) (/ 1 z))))
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)
(/ x z)
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x)))
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x)))
(* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))) (/ 1 x)))
(/ x z)
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z))))
(/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z))
(* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z))
(* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z))
(* -1 (/ (+ (* -1 (+ x y)) (* (log y) (+ 1/2 y))) z))
(+ (* -1/2 (/ (log y) z)) (/ x z))
(+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z)))
(+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z)))
(+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z)))
(* y (+ (/ 1 z) (/ (log (/ 1 y)) z)))
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z)))))
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z)))))
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (+ (/ 1 z) (+ (/ x (* y z)) (/ (log (/ 1 y)) z)))))
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z))))
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) y)) (/ (log -1) z))) (/ 1 z))))
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) y)) (/ (log -1) z))) (/ 1 z))))
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ x z)) y)) (/ (log -1) z))) (/ 1 z))))
(+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z))
(+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))
(+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))
(+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))
(/ x z)
(* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))))
(* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))))
(* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (+ (/ 1 z) (/ y (* x z)))))
(/ x z)
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z))))
(* -1/2 (/ (log y) z))
(+ (* -1 (/ (* y (log y)) z)) (* -1/2 (/ (log y) z)))
(+ (* -1 (/ (* y (log y)) z)) (* -1/2 (/ (log y) z)))
(+ (* -1 (/ (* y (log y)) z)) (* -1/2 (/ (log y) z)))
(/ (* y (log (/ 1 y))) z)
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (/ (log (/ 1 y)) z)))
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (/ (log (/ 1 y)) z)))
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (/ (log (/ 1 y)) z)))
(* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) z))
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))) (/ (log -1) z)))))
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))) (/ (log -1) z)))))
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))) (/ (log -1) z)))))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
Outputs
(- y (+ z (* (log y) (+ 1/2 y))))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)) (-.f64 #s(literal 0 binary64) x))
(- x (+ z (* 1/2 (log y))))
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(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)
(* y (- 1 (* -1 (log (/ 1 y)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (/.f64 z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (/.f64 z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (/.f64 z y)))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
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(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 (/.f64 (+.f64 (-.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 (/.f64 (+.f64 (-.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 (/.f64 (+.f64 (-.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(- (+ x y) (* (log y) (+ 1/2 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z)))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z)))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
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(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y x)) #s(literal 1 binary64))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y x)) #s(literal 1 binary64))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
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(- y (* (log y) (+ 1/2 y)))
(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(- (+ x y) (* (log y) (+ 1/2 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(- (+ x y) (* (log y) (+ 1/2 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(- (+ x y) (* (log y) (+ 1/2 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
x
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)))
x
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) y) x))))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) y) x))))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) y) x))))
(- x (* 1/2 (log y)))
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(*.f64 y (+.f64 (/.f64 x y) (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) #s(literal 1 binary64))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(*.f64 y (+.f64 (/.f64 x y) (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) #s(literal 1 binary64))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(*.f64 y (+.f64 (/.f64 x y) (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) #s(literal 1 binary64))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))))
(* 1/2 (log y))
(*.f64 (log.f64 y) #s(literal 1/2 binary64))
(+ (* 1/2 (log y)) (* y (- (log y) 1)))
(-.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) y)
(+ (* 1/2 (log y)) (* y (- (log y) 1)))
(-.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) y)
(+ (* 1/2 (log y)) (* y (- (log y) 1)))
(-.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) y)
(* y (- (* -1 (log (/ 1 y))) 1))
(*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64)))
(* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))
(*.f64 y (+.f64 (log.f64 y) (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) y) #s(literal -1 binary64))))
(* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))
(*.f64 y (+.f64 (log.f64 y) (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) y) #s(literal -1 binary64))))
(* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))
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(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 y z))
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))) (/ (log -1) z)))))
(*.f64 (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) z) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) z)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))) (/ (log -1) z)))))
(*.f64 (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) z) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) z)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))) (/ (log -1) z)))))
(*.f64 (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) z) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) z)) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z))

eval339.0ms (2.3%)

Memory
-13.2MiB live, 408.9MiB allocated
Compiler

Compiled 39 740 to 3 558 computations (91% saved)

prune139.0ms (1%)

Memory
-17.2MiB live, 263.3MiB allocated
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New1 282121 294
Fresh5611
Picked235
Done000
Total1 289211 310
Accuracy
100.0%
Counts
1 310 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.3%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 (log.f64 y) #s(literal 1 binary64)))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z)))))
99.7%
(-.f64 (-.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) y)) z)
72.4%
(-.f64 (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
85.9%
(-.f64 (-.f64 x (*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64)))) z)
99.8%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z)
87.1%
(-.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y) z)
68.8%
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
57.7%
(-.f64 (+.f64 x y) z)
58.7%
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
58.3%
(-.f64 x z)
32.2%
(-.f64 #s(literal 0 binary64) z)
99.5%
(*.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z))) (*.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z))))))
19.5%
(*.f64 z (/.f64 x z))
49.4%
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
63.5%
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 x z) (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z))))
80.0%
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 (log.f64 y) z) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)))))
18.8%
(*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z)))
28.7%
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
73.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))) (/.f64 z x))))
28.4%
x
Compiler

Compiled 590 to 384 computations (34.9% saved)

simplify360.0ms (2.5%)

Memory
-5.6MiB live, 278.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))
cost-diff0
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z)))))
cost-diff0
(log.f64 y)
cost-diff0
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
cost-diff0
(+.f64 y x)
cost-diff0
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
cost-diff0
(/.f64 x z)
cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 x z))
cost-diff256
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
cost-diff0
(-.f64 #s(literal 0 binary64) z)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) y)
cost-diff0
(-.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) y))
cost-diff0
(-.f64 (-.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) y)) z)
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)))
Rules
6 208×accelerator-lowering-fma.f32
6 208×accelerator-lowering-fma.f64
1 512×*-lowering-*.f32
1 512×*-lowering-*.f64
1 264×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030202
180170
2228170
3647166
41937166
53680166
65700166
76484166
86786166
96914166
107007166
117546166
127772166
08070160
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (- x (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y)) z)
(- x (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y))
x
(- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y)
(/ 1 (/ (/ 1 (+ y 1/2)) (log y)))
1
(/ (/ 1 (+ y 1/2)) (log y))
(/ 1 (+ y 1/2))
(+ y 1/2)
y
1/2
(log y)
z
(- 0 z)
0
z
(* z (+ -1 (/ x z)))
z
(+ -1 (/ x z))
-1
(/ x z)
x
(- (+ y x) (* (log y) (+ y 1/2)))
(+ y x)
y
x
(* (log y) (+ y 1/2))
(log y)
(+ y 1/2)
1/2
(/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z)))))
1
(/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z))))
(+ (* (log y) (- -1/2 y)) (+ x (- y z)))
(* (log y) (- -1/2 y))
(log y)
y
(- -1/2 y)
-1/2
(+ x (- y z))
x
(- y z)
z
Outputs
(- (- x (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y)) z)
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(- x (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y))
(-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
x
(- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y)
(-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)
(/ 1 (/ (/ 1 (+ y 1/2)) (log y)))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
1
#s(literal 1 binary64)
(/ (/ 1 (+ y 1/2)) (log y))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))
(/ 1 (+ y 1/2))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)
(log y)
(log.f64 y)
z
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(* z (+ -1 (/ x z)))
(-.f64 x z)
z
(+ -1 (/ x z))
(+.f64 #s(literal -1 binary64) (/.f64 x z))
-1
#s(literal -1 binary64)
(/ x z)
(/.f64 x z)
x
(- (+ y x) (* (log y) (+ y 1/2)))
(-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(+ y x)
(+.f64 x y)
y
x
(* (log y) (+ y 1/2))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
(log y)
(log.f64 y)
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
1
#s(literal 1 binary64)
(/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z))))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (-.f64 x z)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+ (* (log y) (- -1/2 y)) (+ x (- y z)))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(* (log y) (- -1/2 y))
(*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))
(log y)
(log.f64 y)
y
(- -1/2 y)
(-.f64 #s(literal -1/2 binary64) y)
-1/2
#s(literal -1/2 binary64)
(+ x (- y z))
(+.f64 y (-.f64 x z))
x
(- y z)
(-.f64 y z)
z

localize1.1s (7.7%)

Memory
3.3MiB live, 116.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))))
accuracy99.8%
(*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z)))))
accuracy100.0%
(+.f64 y #s(literal 1/2 binary64))
accuracy100.0%
(log.f64 y)
accuracy99.8%
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
accuracy99.8%
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
accuracy100.0%
(/.f64 x z)
accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 x z))
accuracy89.6%
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
accuracy100.0%
(-.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) y))
accuracy99.8%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) y)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)))
accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))
Samples
940.0ms256×0valid
Compiler

Compiled 193 to 32 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 923.0ms
ival-sub: 899.0ms (97.4% of total)
ival-div: 10.0ms (1.1% of total)
ival-add: 6.0ms (0.7% of total)
ival-mult: 4.0ms (0.4% of total)
ival-log: 3.0ms (0.3% of total)
exact: 1.0ms (0.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
-8.6MiB live, 31.4MiB allocated
Counts
18 → 384
Calls
Call 1
Inputs
#<alt (/ 1 (/ (/ 1 (+ y 1/2)) (log y)))>
#<alt (- (- x (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y)) z)>
#<alt (- x (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y))>
#<alt (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y)>
#<alt (- 0 z)>
#<alt (* z (+ -1 (/ x z)))>
#<alt (+ -1 (/ x z))>
#<alt (/ x z)>
#<alt (- (+ y x) (* (log y) (+ y 1/2)))>
#<alt (+ y x)>
#<alt (* (log y) (+ y 1/2))>
#<alt (log y)>
#<alt (/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z)))))>
#<alt (/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z))))>
#<alt (+ (* (log y) (- -1/2 y)) (+ x (- y z)))>
#<alt (* (log y) (- -1/2 y))>
#<alt (/ (/ 1 (+ y 1/2)) (log y))>
#<alt (+ y 1/2)>
Outputs
#<alt (* 1/2 (log y))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (- y (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (- x (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (- y (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt x>
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#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) z) (* -1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z))) z))>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)>
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)>
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)>
#<alt (* y (+ 1 (log (/ 1 y))))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))>
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))>
#<alt (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)>
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt x>
#<alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))>
#<alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))>
#<alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))>
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))>
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))>
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))>
#<alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))>
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))>
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))>
#<alt (* -1/2 (log y))>
#<alt (+ (* -1 (* y (log y))) (* -1/2 (log y)))>
#<alt (+ (* -1 (* y (log y))) (* -1/2 (log y)))>
#<alt (+ (* -1 (* y (log y))) (* -1/2 (log y)))>
#<alt (* y (log (/ 1 y)))>
#<alt (* y (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))>
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))>
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))>
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))>
#<alt (/ 2 (log y))>
#<alt (+ (* -4 (/ y (log y))) (* 2 (/ 1 (log y))))>
#<alt (+ (* y (- (* 8 (/ y (log y))) (* 4 (/ 1 (log y))))) (* 2 (/ 1 (log y))))>
#<alt (+ (* y (- (* y (+ (* -16 (/ y (log y))) (* 8 (/ 1 (log y))))) (* 4 (/ 1 (log y))))) (* 2 (/ 1 (log y))))>
#<alt (/ -1 (* y (log (/ 1 y))))>
#<alt (/ (- (* 1/2 (/ 1 (* y (log (/ 1 y))))) (/ 1 (log (/ 1 y)))) y)>
#<alt (/ (- (/ 1/2 (* y (log (/ 1 y)))) (+ (/ 1/4 (* (pow y 2) (log (/ 1 y)))) (/ 1 (log (/ 1 y))))) y)>
#<alt (/ (- (+ (/ 1/2 (* y (log (/ 1 y)))) (* 1/8 (/ 1 (* (pow y 3) (log (/ 1 y)))))) (+ (/ 1 (log (/ 1 y))) (* 1/4 (/ 1 (* (pow y 2) (log (/ 1 y))))))) y)>
#<alt (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y))>
#<alt 1/2>
#<alt (+ 1/2 y)>
#<alt (+ 1/2 y)>
#<alt (+ 1/2 y)>
#<alt y>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
#<alt y>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
Calls

96 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z))))
1.0ms
y
@inf
(/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z))))
1.0ms
x
@0
(/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z))))
1.0ms
y
@0
(/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z))))
1.0ms
x
@inf
(/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z))))

rewrite592.0ms (4.1%)

Memory
48.6MiB live, 906.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 958×accelerator-lowering-fma.f32
7 958×accelerator-lowering-fma.f64
4 312×/-lowering-/.f32
4 312×/-lowering-/.f64
3 824×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030161
1249129
22474128
09441121
Stop Event
iter limit
node limit
Counts
18 → 1 132
Calls
Call 1
Inputs
(/ 1 (/ (/ 1 (+ y 1/2)) (log y)))
(- (- x (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y)) z)
(- x (- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y))
(- (/ 1 (/ (/ 1 (+ y 1/2)) (log y))) y)
(- 0 z)
(* z (+ -1 (/ x z)))
(+ -1 (/ x z))
(/ x z)
(- (+ y x) (* (log y) (+ y 1/2)))
(+ y x)
(* (log y) (+ y 1/2))
(log y)
(/ 1 (/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z)))))
(/ 1 (+ (* (log y) (- -1/2 y)) (+ x (- y z))))
(+ (* (log y) (- -1/2 y)) (+ x (- y z)))
(* (log y) (- -1/2 y))
(/ (/ 1 (+ y 1/2)) (log y))
(+ y 1/2)
Outputs
(+.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y)))
(exp.f64 (log.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y))) (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y))) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y))))
(-.f64 (/.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))))
(fma.f64 y (log.f64 y) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 y) (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) y (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(fma.f64 (log.f64 y) #s(literal 1/2 binary64) (*.f64 y (log.f64 y)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y)) (log.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y)))
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y)) (log.f64 y)))
(/.f64 (-.f64 #s(literal -1/2 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 y))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y)))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))))))
(/.f64 (/.f64 (log.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))))
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (log.f64 y)) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))))))
(/.f64 (neg.f64 (/.f64 (log.f64 y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))))
(/.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (log.f64 y))) (neg.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y))) (neg.f64 (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y))))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (log.f64 y) #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y)) (log.f64 y))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 y))) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 (log.f64 y) #s(literal 1 binary64)) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) (-.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 0 binary64) (log.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(*.f64 (/.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (/.f64 (log.f64 y) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)))) (/.f64 (log.f64 y) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64))))
(+.f64 x (neg.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z))))
(+.f64 x (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) (-.f64 #s(literal 0 binary64) z)))
(+.f64 x (+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))
(+.f64 x (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z))
(+.f64 (+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z)))
(+.f64 (-.f64 y z) (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))
(+.f64 (+.f64 x (-.f64 y z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(+.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))
(+.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (-.f64 y z))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (*.f64 #s(literal 1 binary64) (+.f64 x (-.f64 y z))))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (-.f64 y z))) (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))) (*.f64 #s(literal 1 binary64) (-.f64 y z)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))))
(/.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y #s(literal -1/2 binary64)) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))))
(/.f64 (-.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 y y) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))
(/.f64 (neg.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
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(/.f64 (neg.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (+.f64 y #s(literal -1/2 binary64))))
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(*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))

simplify410.0ms (2.8%)

Memory
-16.2MiB live, 617.0MiB allocated
Algorithm
egg-herbie
Rules
6 056×accelerator-lowering-fma.f32
6 056×accelerator-lowering-fma.f64
4 366×*-lowering-*.f32
4 366×*-lowering-*.f64
3 054×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05255676
117005315
255575179
083544915
Stop Event
iter limit
node limit
Counts
384 → 384
Calls
Call 1
Inputs
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(+ (* 1/2 (log y)) (* y (log y)))
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(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(/ 1 (- (+ x (* -1/2 (log y))) z))
(+ (* -1 (* y (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (/ 1 (- (+ x (* -1/2 (log y))) z)))
(+ (* y (- (/ (* y (* (+ 1 (* -1 (log y))) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (- (+ x (* -1/2 (log y))) z)) (+ (* -1 (/ (log y) (pow (- (+ x (* -1/2 (log y))) z) 2))) (/ 1 (pow (- (+ x (* -1/2 (log y))) z) 2))))) (/ 1 (- (+ x (* -1/2 (log y))) z)))
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) 2) (- (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) (/ (* (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) (- (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y))
(/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z))
(+ (* -1 (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))
(+ (* x (- (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 3)) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 4))) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 3)))) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))
(/ 1 x)
(/ (- (+ 1 (/ z x)) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (pow x 2))) (/ z x))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) x)
(/ (- (+ 1 (+ (/ z x) (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)) (pow x 3)))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (+ (/ y x) (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (pow x 2))))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)) x)) (* -1 (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x))
(/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))
(+ (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))
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(/ -1 z)
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) z) (* -1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z))) z))
(- (+ x (* -1/2 (log y))) z)
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(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(* y (+ 1 (log (/ 1 y))))
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(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
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(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))
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(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
x
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))
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x
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(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
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(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1/2 (log y))
(+ (* -1 (* y (log y))) (* -1/2 (log y)))
(+ (* -1 (* y (log y))) (* -1/2 (log y)))
(+ (* -1 (* y (log y))) (* -1/2 (log y)))
(* y (log (/ 1 y)))
(* y (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))
(* y (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))
(* y (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))
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(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))
(/ 2 (log y))
(+ (* -4 (/ y (log y))) (* 2 (/ 1 (log y))))
(+ (* y (- (* 8 (/ y (log y))) (* 4 (/ 1 (log y))))) (* 2 (/ 1 (log y))))
(+ (* y (- (* y (+ (* -16 (/ y (log y))) (* 8 (/ 1 (log y))))) (* 4 (/ 1 (log y))))) (* 2 (/ 1 (log y))))
(/ -1 (* y (log (/ 1 y))))
(/ (- (* 1/2 (/ 1 (* y (log (/ 1 y))))) (/ 1 (log (/ 1 y)))) y)
(/ (- (/ 1/2 (* y (log (/ 1 y)))) (+ (/ 1/4 (* (pow y 2) (log (/ 1 y)))) (/ 1 (log (/ 1 y))))) y)
(/ (- (+ (/ 1/2 (* y (log (/ 1 y)))) (* 1/8 (/ 1 (* (pow y 3) (log (/ 1 y)))))) (+ (/ 1 (log (/ 1 y))) (* 1/4 (/ 1 (* (pow y 2) (log (/ 1 y))))))) y)
(/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(* -1 (/ (- (* 1/2 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y))
1/2
(+ 1/2 y)
(+ 1/2 y)
(+ 1/2 y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
y
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(* y (+ 1 (* 1/2 (/ 1 y))))
Outputs
(* 1/2 (log y))
(*.f64 #s(literal 1/2 binary64) (log.f64 y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (log (/ 1 y))))
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(*.f64 y (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
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(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 0 binary64) y))
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(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
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(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
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(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)))
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(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
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(- x (+ z (* 1/2 (log y))))
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(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
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(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
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(* y (- 1 (* -1 (log (/ 1 y)))))
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eval258.0ms (1.8%)

Memory
34.7MiB live, 457.4MiB allocated
Compiler

Compiled 41 954 to 3 684 computations (91.2% saved)

prune232.0ms (1.6%)

Memory
-0.6MiB live, 392.0MiB allocated
Pruning

38 alts after pruning (35 fresh and 3 done)

PrunedKeptTotal
New1 585251 610
Fresh31013
Picked415
Done123
Total1 593381 631
Accuracy
100.0%
Counts
1 631 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.4%
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))
8.7%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
13.5%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
14.5%
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))))
28.3%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 (log.f64 y) #s(literal 1 binary64)))
38.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
28.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) y))
8.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
13.4%
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
28.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
32.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
85.8%
(-.f64 (-.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y))) y)) z)
72.4%
(-.f64 (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
85.9%
(-.f64 (-.f64 x (*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64)))) z)
87.1%
(-.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y) z)
68.7%
(-.f64 (+.f64 y x) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
68.7%
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
68.8%
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
55.5%
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y))
57.7%
(-.f64 (+.f64 x y) z)
58.7%
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
41.0%
(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
49.8%
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
58.3%
(-.f64 x z)
42.0%
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
13.4%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
19.5%
(*.f64 z (/.f64 x z))
49.4%
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)))
49.4%
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
63.5%
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 x z) (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z))))
21.3%
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))))
45.3%
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z)))
38.6%
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z)))))
18.8%
(*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z)))
28.7%
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
49.1%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
32.2%
(neg.f64 z)
28.4%
x
Compiler

Compiled 988 to 661 computations (33.1% saved)

simplify295.0ms (2%)

Memory
-9.5MiB live, 473.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 y)
cost-diff0
(*.f64 (log.f64 y) y)
cost-diff0
(+.f64 y x)
cost-diff0
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y))
cost-diff0
(/.f64 (/.f64 x z) (/.f64 z x))
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x)))
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
cost-diff256
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z)
cost-diff0
(/.f64 z x)
cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x)))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 z x))
cost-diff256
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
cost-diff-64
(neg.f64 z)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))
cost-diff0
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y)
cost-diff0
(-.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y) z)
cost-diff256
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))))
Rules
8 956×accelerator-lowering-fma.f32
8 956×accelerator-lowering-fma.f64
4 754×*-lowering-*.f32
4 754×*-lowering-*.f64
1 888×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028186
174186
2178168
3458166
41877154
55643154
08362149
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y) z)
(+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y)
(* x (- 1 (* (log y) (/ (+ y 1/2) x))))
x
(- 1 (* (log y) (/ (+ y 1/2) x)))
1
(* (log y) (/ (+ y 1/2) x))
(log y)
y
(/ (+ y 1/2) x)
(+ y 1/2)
1/2
z
(neg z)
z
(* z (+ -1 (/ 1 (/ z x))))
z
(+ -1 (/ 1 (/ z x)))
-1
(/ 1 (/ z x))
1
(/ z x)
x
(/ (* (- 1 (/ (/ x z) (/ z x))) z) (- -1 (/ x z)))
(* (- 1 (/ (/ x z) (/ z x))) z)
(- 1 (/ (/ x z) (/ z x)))
1
(/ (/ x z) (/ z x))
(/ x z)
x
z
(/ z x)
(- -1 (/ x z))
-1
(- (+ y x) (* (log y) y))
(+ y x)
y
x
(* (log y) y)
(log y)
Outputs
(- (+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y) z)
(+.f64 x (+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))
(+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y)
(+.f64 (+.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(* x (- 1 (* (log y) (/ (+ y 1/2) x))))
(+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
x
(- 1 (* (log y) (/ (+ y 1/2) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) x)))
1
#s(literal 1 binary64)
(* (log y) (/ (+ y 1/2) x))
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(log y)
(log.f64 y)
y
(/ (+ y 1/2) x)
(/.f64 (+.f64 y #s(literal 1/2 binary64)) x)
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
z
(neg z)
(-.f64 #s(literal 0 binary64) z)
z
(* z (+ -1 (/ 1 (/ z x))))
(-.f64 x z)
z
(+ -1 (/ 1 (/ z x)))
(+.f64 #s(literal -1 binary64) (/.f64 x z))
-1
#s(literal -1 binary64)
(/ 1 (/ z x))
(/.f64 x z)
1
#s(literal 1 binary64)
(/ z x)
(/.f64 z x)
x
(/ (* (- 1 (/ (/ x z) (/ z x))) z) (- -1 (/ x z)))
(/.f64 (-.f64 z (/.f64 x (/.f64 z x))) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(* (- 1 (/ (/ x z) (/ z x))) z)
(-.f64 z (/.f64 x (/.f64 z x)))
(- 1 (/ (/ x z) (/ z x)))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (/.f64 x z))))
1
#s(literal 1 binary64)
(/ (/ x z) (/ z x))
(/.f64 x (/.f64 z (/.f64 x z)))
(/ x z)
(/.f64 x z)
x
z
(/ z x)
(/.f64 z x)
(- -1 (/ x z))
(-.f64 #s(literal -1 binary64) (/.f64 x z))
-1
#s(literal -1 binary64)
(- (+ y x) (* (log y) y))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(+ y x)
(+.f64 x y)
y
x
(* (log y) y)
(*.f64 y (log.f64 y))
(log y)
(log.f64 y)

localize98.0ms (0.7%)

Memory
4.9MiB live, 162.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y x)
accuracy100.0%
(log.f64 y)
accuracy99.8%
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y))
accuracy99.6%
(*.f64 (log.f64 y) y)
accuracy100.0%
(-.f64 #s(literal -1 binary64) (/.f64 x z))
accuracy99.8%
(/.f64 (/.f64 x z) (/.f64 z x))
accuracy94.4%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z)
accuracy77.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
accuracy100.0%
(/.f64 z x)
accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x)))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 z x))
accuracy89.6%
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(/.f64 (+.f64 y #s(literal 1/2 binary64)) x)
accuracy99.9%
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y)
accuracy99.6%
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
accuracy87.1%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))))
Samples
57.0ms256×0valid
Compiler

Compiled 186 to 30 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 10.0ms (31.2% of total)
ival-mult: 7.0ms (21.8% of total)
ival-add: 5.0ms (15.6% of total)
ival-sub: 5.0ms (15.6% of total)
ival-log: 4.0ms (12.5% of total)
ival-neg: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series49.0ms (0.3%)

Memory
-3.2MiB live, 52.3MiB allocated
Counts
20 → 456
Calls
Call 1
Inputs
#<alt (* x (- 1 (* (log y) (/ (+ y 1/2) x))))>
#<alt (- (+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y) z)>
#<alt (+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y)>
#<alt (- 1 (* (log y) (/ (+ y 1/2) x)))>
#<alt (neg z)>
#<alt (* z (+ -1 (/ 1 (/ z x))))>
#<alt (/ 1 (/ z x))>
#<alt (+ -1 (/ 1 (/ z x)))>
#<alt (/ z x)>
#<alt (* (- 1 (/ (/ x z) (/ z x))) z)>
#<alt (/ (* (- 1 (/ (/ x z) (/ z x))) z) (- -1 (/ x z)))>
#<alt (- 1 (/ (/ x z) (/ z x)))>
#<alt (/ (/ x z) (/ z x))>
#<alt (- (+ y x) (* (log y) y))>
#<alt (+ y x)>
#<alt (* (log y) y)>
#<alt (log y)>
#<alt (* (log y) (/ (+ y 1/2) x))>
#<alt (/ (+ y 1/2) x)>
#<alt (- -1 (/ x z))>
Outputs
#<alt (* -1 (* (log y) (+ 1/2 y)))>
#<alt (+ x (* -1 (* (log y) (+ 1/2 y))))>
#<alt (+ x (* -1 (* (log y) (+ 1/2 y))))>
#<alt (+ x (* -1 (* (log y) (+ 1/2 y))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))>
#<alt (* x (- 1 (* 1/2 (/ (log y) x))))>
#<alt (+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))>
#<alt (+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))>
#<alt (+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))>
#<alt (* y (log (/ 1 y)))>
#<alt (* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))>
#<alt (* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))>
#<alt (* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))>
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))>
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))>
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))>
#<alt (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)>
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))>
#<alt (- (* x (- 1 (* 1/2 (/ (log y) x)))) z)>
#<alt (- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)>
#<alt (- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)>
#<alt (- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)>
#<alt (* y (+ 1 (log (/ 1 y))))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))>
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))>
#<alt (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))>
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))>
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))>
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))>
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))>
#<alt (+ y (* -1 (* (log y) (+ 1/2 y))))>
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))>
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))>
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* x (- 1 (* 1/2 (/ (log y) x))))>
#<alt (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y)))))>
#<alt (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y)))))>
#<alt (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y)))))>
#<alt (* y (+ 1 (log (/ 1 y))))>
#<alt (* y (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))))>
#<alt (* y (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))))>
#<alt (* y (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))))>
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))) 1)))>
#<alt (- 1 (* 1/2 (/ (log y) x)))>
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))>
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))>
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))>
#<alt (/ (* y (log (/ 1 y))) x)>
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))>
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))>
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))>
#<alt (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) x))>
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)>
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)>
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 z)>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ (+ x (* -1 z)) z)>
#<alt (/ (+ x (* -1 z)) z)>
#<alt (/ (+ x (* -1 z)) z)>
#<alt -1>
#<alt (- (/ x z) 1)>
#<alt (- (/ x z) 1)>
#<alt (- (/ x z) 1)>
#<alt -1>
#<alt (- (/ x z) 1)>
#<alt (- (/ x z) 1)>
#<alt (- (/ x z) 1)>
#<alt -1>
#<alt (- (/ x z) 1)>
#<alt (- (/ x z) 1)>
#<alt (- (/ x z) 1)>
#<alt (/ x z)>
#<alt (* x (- (/ 1 z) (/ 1 x)))>
#<alt (* x (- (/ 1 z) (/ 1 x)))>
#<alt (* x (- (/ 1 z) (/ 1 x)))>
#<alt (/ x z)>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 z))))>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 z))))>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 z))))>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt z>
#<alt (+ z (* -1 (/ (pow x 2) z)))>
#<alt (+ z (* -1 (/ (pow x 2) z)))>
#<alt (+ z (* -1 (/ (pow x 2) z)))>
#<alt (* -1 (/ (pow x 2) z))>
#<alt (* (pow x 2) (- (/ z (pow x 2)) (/ 1 z)))>
#<alt (* (pow x 2) (- (/ z (pow x 2)) (/ 1 z)))>
#<alt (* (pow x 2) (- (/ z (pow x 2)) (/ 1 z)))>
#<alt (* -1 (/ (pow x 2) z))>
#<alt (* (pow x 2) (- (/ z (pow x 2)) (/ 1 z)))>
#<alt (* (pow x 2) (- (/ z (pow x 2)) (/ 1 z)))>
#<alt (* (pow x 2) (- (/ z (pow x 2)) (/ 1 z)))>
#<alt (* -1 (/ (pow x 2) z))>
#<alt (/ (+ (* -1 (pow x 2)) (pow z 2)) z)>
#<alt (/ (+ (* -1 (pow x 2)) (pow z 2)) z)>
#<alt (/ (+ (* -1 (pow x 2)) (pow z 2)) z)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ (pow x 2) (pow z 2)))))>
#<alt (* z (+ 1 (* -1 (/ (pow x 2) (pow z 2)))))>
#<alt (* z (+ 1 (* -1 (/ (pow x 2) (pow z 2)))))>
#<alt z>
#<alt (* -1 (* z (- (/ (pow x 2) (pow z 2)) 1)))>
#<alt (* -1 (* z (- (/ (pow x 2) (pow z 2)) 1)))>
#<alt (* -1 (* z (- (/ (pow x 2) (pow z 2)) 1)))>
#<alt (* -1 z)>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))>
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))>
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))>
#<alt (* -1 (/ (pow x 2) (pow z 2)))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2))))>
#<alt (* -1 (/ (pow x 2) (pow z 2)))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow z 2))))>
#<alt (* -1 (/ (pow x 2) (pow z 2)))>
#<alt (/ (- (pow z 2) (pow x 2)) (pow z 2))>
#<alt (/ (- (pow z 2) (pow x 2)) (pow z 2))>
#<alt (/ (- (pow z 2) (pow x 2)) (pow z 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))>
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))>
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))>
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))>
#<alt (+ 1 (* -1 (/ (pow x 2) (pow z 2))))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt (/ (pow x 2) (pow z 2))>
#<alt x>
#<alt (+ x (* y (- 1 (log y))))>
#<alt (+ x (* y (- 1 (log y))))>
#<alt (+ x (* y (- 1 (log y))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (- y (* y (log y)))>
#<alt (- (+ x y) (* y (log y)))>
#<alt (- (+ x y) (* y (log y)))>
#<alt (- (+ x y) (* y (log y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (* 1/2 (/ (log y) x))>
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))>
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))>
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))>
#<alt (* -1 (/ (* y (log (/ 1 y))) x))>
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))>
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))>
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))>
#<alt (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x)>
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ 1/2 x)>
#<alt (+ (* 1/2 (/ 1 x)) (/ y x))>
#<alt (+ (* 1/2 (/ 1 x)) (/ y x))>
#<alt (+ (* 1/2 (/ 1 x)) (/ y x))>
#<alt (/ y x)>
#<alt (* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))>
#<alt (* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))>
#<alt (* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))>
#<alt (/ y x)>
#<alt (* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))>
#<alt (* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))>
#<alt (* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))>
#<alt (/ (+ 1/2 y) x)>
#<alt (/ (+ 1/2 y) x)>
#<alt (/ (+ 1/2 y) x)>
#<alt (/ (+ 1/2 y) x)>
#<alt (/ (+ 1/2 y) x)>
#<alt (/ (+ 1/2 y) x)>
#<alt (/ (+ 1/2 y) x)>
#<alt (/ (+ 1/2 y) x)>
#<alt (/ (+ 1/2 y) x)>
#<alt (/ (+ 1/2 y) x)>
#<alt (/ (+ 1/2 y) x)>
#<alt (/ (+ 1/2 y) x)>
#<alt -1>
#<alt (- (* -1 (/ x z)) 1)>
#<alt (- (* -1 (/ x z)) 1)>
#<alt (- (* -1 (/ x z)) 1)>
#<alt (* -1 (/ x z))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 z))))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 z))))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 z))))>
#<alt (* -1 (/ x z))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 z))))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 z))))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 z))))>
#<alt (* -1 (/ x z))>
#<alt (/ (- (* -1 z) x) z)>
#<alt (/ (- (* -1 z) x) z)>
#<alt (/ (- (* -1 z) x) z)>
#<alt -1>
#<alt (- (* -1 (/ x z)) 1)>
#<alt (- (* -1 (/ x z)) 1)>
#<alt (- (* -1 (/ x z)) 1)>
#<alt -1>
#<alt (- (* -1 (/ x z)) 1)>
#<alt (- (* -1 (/ x z)) 1)>
#<alt (- (* -1 (/ x z)) 1)>
Calls

114 calls:

TimeVariablePointExpression
24.0ms
x
@0
(* (log y) (/ (+ y 1/2) x))
2.0ms
x
@inf
(* (log y) (/ (+ y 1/2) x))
1.0ms
x
@0
(* x (- 1 (* (log y) (/ (+ y 1/2) x))))
1.0ms
x
@inf
(* (- 1 (/ (/ x z) (/ z x))) z)
1.0ms
z
@0
(* (- 1 (/ (/ x z) (/ z x))) z)

rewrite564.0ms (3.9%)

Memory
3.2MiB live, 740.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 528×accelerator-lowering-fma.f32
8 528×accelerator-lowering-fma.f64
4 806×/-lowering-/.f32
4 806×/-lowering-/.f64
4 370×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028141
1209135
21901133
08261129
Stop Event
iter limit
node limit
Counts
20 → 1 008
Calls
Call 1
Inputs
(* x (- 1 (* (log y) (/ (+ y 1/2) x))))
(- (+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y) z)
(+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y)
(- 1 (* (log y) (/ (+ y 1/2) x)))
(neg z)
(* z (+ -1 (/ 1 (/ z x))))
(/ 1 (/ z x))
(+ -1 (/ 1 (/ z x)))
(/ z x)
(* (- 1 (/ (/ x z) (/ z x))) z)
(/ (* (- 1 (/ (/ x z) (/ z x))) z) (- -1 (/ x z)))
(- 1 (/ (/ x z) (/ z x)))
(/ (/ x z) (/ z x))
(- (+ y x) (* (log y) y))
(+ y x)
(* (log y) y)
(log y)
(* (log y) (/ (+ y 1/2) x))
(/ (+ y 1/2) x)
(- -1 (/ x z))
Outputs
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(fma.f64 z (/.f64 x z) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (/.f64 z x))) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 x z) z (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 x z) (/.f64 z #s(literal 1 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 z #s(literal -1 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))
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simplify496.0ms (3.4%)

Memory
3.0MiB live, 730.2MiB allocated
Algorithm
egg-herbie
Rules
10 946×accelerator-lowering-fma.f32
10 946×accelerator-lowering-fma.f64
3 396×*-lowering-*.f32
3 396×*-lowering-*.f64
3 280×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02463854
17503560
222323323
365933275
083213148
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
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(+ 1 (* -1 (/ (pow x 2) (pow z 2))))
(+ 1 (* -1 (/ (pow x 2) (pow z 2))))
(+ 1 (* -1 (/ (pow x 2) (pow z 2))))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
(/ (pow x 2) (pow z 2))
x
(+ x (* y (- 1 (log y))))
(+ x (* y (- 1 (log y))))
(+ x (* y (- 1 (log y))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y)))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(- y (* y (log y)))
(- (+ x y) (* y (log y)))
(- (+ x y) (* y (log y)))
(- (+ x y) (* y (log y)))
x
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))
x
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (log y))
(* y (log y))
(* y (log y))
(* y (log y))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(log y)
(log y)
(log y)
(log y)
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(* 1/2 (/ (log y) x))
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))
(* -1 (/ (* y (log (/ 1 y))) x))
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))
(/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x)
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ 1/2 x)
(+ (* 1/2 (/ 1 x)) (/ y x))
(+ (* 1/2 (/ 1 x)) (/ y x))
(+ (* 1/2 (/ 1 x)) (/ y x))
(/ y x)
(* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))
(* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))
(* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))
(/ y x)
(* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))
(* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))
(* y (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))))
(/ (+ 1/2 y) x)
(/ (+ 1/2 y) x)
(/ (+ 1/2 y) x)
(/ (+ 1/2 y) x)
(/ (+ 1/2 y) x)
(/ (+ 1/2 y) x)
(/ (+ 1/2 y) x)
(/ (+ 1/2 y) x)
(/ (+ 1/2 y) x)
(/ (+ 1/2 y) x)
(/ (+ 1/2 y) x)
(/ (+ 1/2 y) x)
-1
(- (* -1 (/ x z)) 1)
(- (* -1 (/ x z)) 1)
(- (* -1 (/ x z)) 1)
(* -1 (/ x z))
(* -1 (* x (+ (/ 1 x) (/ 1 z))))
(* -1 (* x (+ (/ 1 x) (/ 1 z))))
(* -1 (* x (+ (/ 1 x) (/ 1 z))))
(* -1 (/ x z))
(* -1 (* x (+ (/ 1 x) (/ 1 z))))
(* -1 (* x (+ (/ 1 x) (/ 1 z))))
(* -1 (* x (+ (/ 1 x) (/ 1 z))))
(* -1 (/ x z))
(/ (- (* -1 z) x) z)
(/ (- (* -1 z) x) z)
(/ (- (* -1 z) x) z)
-1
(- (* -1 (/ x z)) 1)
(- (* -1 (/ x z)) 1)
(- (* -1 (/ x z)) 1)
-1
(- (* -1 (/ x z)) 1)
(- (* -1 (/ x z)) 1)
(- (* -1 (/ x z)) 1)
Outputs
(* -1 (* (log y) (+ 1/2 y)))
(*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))
(+ x (* -1 (* (log y) (+ 1/2 y))))
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x)
(+ x (* -1 (* (log y) (+ 1/2 y))))
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x)
(+ x (* -1 (* (log y) (+ 1/2 y))))
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x)
x
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))
x
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))
(* x (- 1 (* 1/2 (/ (log y) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64))))
(+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) (*.f64 y (log.f64 y)))
(+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) (*.f64 y (log.f64 y)))
(+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) (*.f64 y (log.f64 y)))
(* y (log (/ 1 y)))
(-.f64 #s(literal 0 binary64) (*.f64 y (log.f64 y)))
(* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))
(-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (*.f64 y (log.f64 y)))
(* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))
(-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (*.f64 y (log.f64 y)))
(* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))
(-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (*.f64 y (log.f64 y)))
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(*.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))
(*.f64 y (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x))))))
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))
(*.f64 y (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x))))))
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))
(*.f64 y (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x))))))
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 y z))
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(+.f64 x (+.f64 y (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) z)))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(+.f64 x (+.f64 y (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) z)))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(+.f64 x (+.f64 y (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) z)))
x
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 y z)) x)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 y z)) x)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 y z)) x)))
(- (* x (- 1 (* 1/2 (/ (log y) x)))) z)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) z)
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64)))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))
(* y (+ 1 (log (/ 1 y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))
(*.f64 y (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64))) (/.f64 x y)) (-.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 z y))))
(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))
(*.f64 y (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64))) (/.f64 x y)) (-.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 z y))))
(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))
(*.f64 y (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64))) (/.f64 x y)) (-.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 z y))))
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(*.f64 y (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))
(*.f64 y (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) x))) z) y))))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))
(*.f64 y (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) x))) z) y))))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))
(*.f64 y (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) x))) z) y))))
(+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))
(+.f64 (+.f64 y x) (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))
(+.f64 x (+.f64 y (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) z)))
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))
(+.f64 x (+.f64 y (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) z)))
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))
(+.f64 x (+.f64 y (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))
(*.f64 z (+.f64 (/.f64 (+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))
(*.f64 z (+.f64 (/.f64 (+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))
(*.f64 z (+.f64 (/.f64 (+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))
(-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 y x) (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))
(-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 y x) (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))
(-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 y x) (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+ y (* -1 (* (log y) (+ 1/2 y))))
(+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))
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eval198.0ms (1.4%)

Memory
35.7MiB live, 409.0MiB allocated
Compiler

Compiled 33 174 to 3 914 computations (88.2% saved)

prune337.0ms (2.3%)

Memory
6.0MiB live, 447.9MiB allocated
Pruning

48 alts after pruning (43 fresh and 5 done)

PrunedKeptTotal
New1 540161 556
Fresh32730
Picked325
Done033
Total1 546481 594
Accuracy
100.0%
Counts
1 594 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.7%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
13.5%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
9.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
14.5%
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))))
38.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
37.2%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
8.9%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
32.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64))
29.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))))))
38.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
38.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
32.2%
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))
28.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) y))
8.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
13.4%
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
28.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
32.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
85.8%
(-.f64 (-.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y))) y)) z)
72.4%
(-.f64 (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
73.6%
(-.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x))) y) z)
87.1%
(-.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))))) y) z)
68.7%
(-.f64 (+.f64 y x) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
68.7%
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
68.8%
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
57.7%
(-.f64 (+.f64 x y) z)
58.7%
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
41.0%
(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
28.6%
(-.f64 y (*.f64 (log.f64 y) y))
49.8%
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
36.8%
(-.f64 x (*.f64 (log.f64 y) y))
58.3%
(-.f64 x z)
42.0%
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
55.6%
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
13.4%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
19.5%
(*.f64 z (/.f64 x z))
49.4%
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)))
49.3%
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))
49.4%
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
49.4%
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z))))
63.5%
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 x z) (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z))))
21.3%
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))))
45.3%
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z)))
38.6%
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z)))))
18.8%
(*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z)))
28.7%
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
49.1%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
32.2%
(neg.f64 z)
28.4%
x
Compiler

Compiled 1 636 to 719 computations (56.1% saved)

regimes300.0ms (2.1%)

Memory
-119.4MiB live, 296.2MiB allocated
Counts
70 → 1
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 z (/.f64 x z))
(-.f64 (+.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(-.f64 x (*.f64 (log.f64 y) y))
(-.f64 y (*.f64 (log.f64 y) y))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y))
(-.f64 (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
(*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z)))
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 (-.f64 x (*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) y))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(-.f64 (+.f64 y x) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 x z) (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z))))
(-.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x))) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y) z)
(-.f64 (-.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y))) y)) z)
(-.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y) z)
(-.f64 (-.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z)))))
(-.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))))) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y)) (-.f64 #s(literal 1/2 binary64) y))) y) z)
(*.f64 y (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))))
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (*.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 (log.f64 y) z) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))) (/.f64 z x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 (log.f64 y) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z))) (*.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x (+.f64 y z))))))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (-.f64 y z))
Outputs
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)
Calls

5 calls:

205.0ms
y
23.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
22.0ms
z
21.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
21.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
99.8%1(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 40 to 28 computations (30% saved)

regimes133.0ms (0.9%)

Memory
10.3MiB live, 162.5MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 z (/.f64 x z))
(-.f64 (+.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(-.f64 x (*.f64 (log.f64 y) y))
(-.f64 y (*.f64 (log.f64 y) y))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y))
(-.f64 (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
(*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z)))
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 (-.f64 x (*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) y))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(-.f64 (+.f64 y x) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
Calls

5 calls:

31.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
26.0ms
y
20.0ms
z
14.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
14.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
99.8%1(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 40 to 28 computations (30% saved)

regimes58.0ms (0.4%)

Memory
21.3MiB live, 134.2MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 z (/.f64 x z))
(-.f64 (+.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(-.f64 x (*.f64 (log.f64 y) y))
(-.f64 y (*.f64 (log.f64 y) y))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y))
(-.f64 (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
(*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z)))
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 (-.f64 x (*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) y))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(-.f64 (+.f64 y x) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
Outputs
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(-.f64 (-.f64 x (*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64)))) z)
Calls

3 calls:

22.0ms
y
16.0ms
z
16.0ms
x
Results
AccuracySegmentsBranch
85.9%1x
99.6%2y
99.0%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes33.0ms (0.2%)

Memory
5.3MiB live, 81.6MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 z (/.f64 x z))
(-.f64 (+.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(-.f64 x (*.f64 (log.f64 y) y))
(-.f64 y (*.f64 (log.f64 y) y))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y))
(-.f64 (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
(*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z)))
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
Outputs
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
Calls

2 calls:

15.0ms
z
14.0ms
y
Results
AccuracySegmentsBranch
91.4%3z
92.0%2y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes47.0ms (0.3%)

Memory
-11.9MiB live, 110.6MiB allocated
Counts
42 → 4
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 z (/.f64 x z))
(-.f64 (+.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(-.f64 x (*.f64 (log.f64 y) y))
(-.f64 y (*.f64 (log.f64 y) y))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
Outputs
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
Calls

3 calls:

18.0ms
y
12.0ms
x
12.0ms
z
Results
AccuracySegmentsBranch
81.0%4x
82.3%4z
82.0%4y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes36.0ms (0.2%)

Memory
-19.7MiB live, 69.7MiB allocated
Counts
41 → 4
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 z (/.f64 x z))
(-.f64 (+.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(-.f64 x (*.f64 (log.f64 y) y))
(-.f64 y (*.f64 (log.f64 y) y))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
Outputs
(-.f64 x z)
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(-.f64 (+.f64 x y) z)
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
Calls

2 calls:

12.0ms
z
11.0ms
y
Results
AccuracySegmentsBranch
82.0%4y
81.7%5z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes36.0ms (0.3%)

Memory
10.5MiB live, 89.4MiB allocated
Counts
38 → 4
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 z (/.f64 x z))
(-.f64 (+.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(-.f64 x (*.f64 (log.f64 y) y))
(-.f64 y (*.f64 (log.f64 y) y))
Outputs
(-.f64 x z)
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(-.f64 x z)
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
Calls

3 calls:

11.0ms
x
11.0ms
z
10.0ms
y
Results
AccuracySegmentsBranch
71.6%3z
62.3%3x
77.2%4y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.1%)

Memory
-5.3MiB live, 34.5MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 z (/.f64 x z))
(-.f64 (+.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
Outputs
(-.f64 (+.f64 x y) z)
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
Calls

1 calls:

10.0ms
y
Results
AccuracySegmentsBranch
73.3%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes32.0ms (0.2%)

Memory
30.0MiB live, 70.3MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 z (/.f64 x z))
(-.f64 (+.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z x)) z)) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z x))))) z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (/.f64 z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (/.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 z z) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z z) x))))))
Outputs
(-.f64 x z)
Calls

3 calls:

11.0ms
z
9.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
58.3%1x
58.3%1z
58.3%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0%)

Memory
-23.4MiB live, 16.1MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
Outputs
(neg.f64 z)
x
(neg.f64 z)
Calls

3 calls:

3.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
50.2%3x
36.3%3y
51.1%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory
12.0MiB live, 12.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
28.4%1y
28.4%1x
28.4%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch16.0ms (0.1%)

Memory
-5.9MiB live, 33.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
4.985413518715601e-6
15103.360667427438
Samples
9.0ms144×0valid
Compiler

Compiled 252 to 187 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-log: 2.0ms (37% of total)
ival-sub: 1.0ms (18.5% of total)
ival-add: 1.0ms (18.5% of total)
ival-mult: 1.0ms (18.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
-13.0MiB live, 26.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
5.5274595067990685e+103
1.628225616135888e+105
Samples
8.0ms112×0valid
Compiler

Compiled 186 to 142 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-log: 2.0ms (38.1% of total)
ival-sub: 1.0ms (19% of total)
ival-add: 1.0ms (19% of total)
ival-mult: 1.0ms (19% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch46.0ms (0.3%)

Memory
20.4MiB live, 100.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1214048555482593300.0
3.225098168568121e+31
12.0ms
-3.326396388127136e-275
-1.4890593003078903e-277
12.0ms
-5.6673735477861365e+20
-638330557980373800.0
Samples
29.0ms400×0valid
Compiler

Compiled 618 to 466 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sub: 5.0ms (29.5% of total)
ival-log: 5.0ms (29.5% of total)
ival-add: 4.0ms (23.6% of total)
ival-mult: 3.0ms (17.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch51.0ms (0.4%)

Memory
-14.4MiB live, 63.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
5.5274595067990685e+103
1.628225616135888e+105
10.0ms
5.774946302340366e-107
1.1713196270352575e-105
12.0ms
9.81888994712974e-204
2.6739987053196067e-202
Samples
37.0ms336×0valid
Compiler

Compiled 417 to 310 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-log: 4.0ms (31.7% of total)
ival-sub: 3.0ms (23.7% of total)
ival-add: 3.0ms (23.7% of total)
ival-mult: 2.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch62.0ms (0.4%)

Memory
-5.6MiB live, 35.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
38.0ms
3.99609549791239e+126
2.63303262005321e+129
10.0ms
5.774946302340366e-107
1.1713196270352575e-105
10.0ms
9.81888994712974e-204
2.6739987053196067e-202
Samples
22.0ms352×0valid
Compiler

Compiled 392 to 302 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-log: 4.0ms (30.2% of total)
ival-sub: 3.0ms (22.7% of total)
ival-add: 3.0ms (22.7% of total)
ival-mult: 2.0ms (15.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
3.99609549791239e+126
2.63303262005321e+129
Samples
8.0ms128×0valid
Compiler

Compiled 170 to 128 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (21.4% of total)
ival-log: 1.0ms (21.4% of total)
ival-add: 1.0ms (21.4% of total)
ival-mult: 1.0ms (21.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch54.0ms (0.4%)

Memory
-16.2MiB live, 59.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
108352256.45836468
4016521398784201.5
36.0ms
-7.78065992588657e+45
-1.9253976298201352e+32
Samples
40.0ms304×0valid
Compiler

Compiled 227 to 187 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-log: 4.0ms (33.4% of total)
ival-sub: 3.0ms (25% of total)
ival-add: 3.0ms (25% of total)
ival-mult: 2.0ms (16.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify28.0ms (0.2%)

Memory
10.7MiB live, 48.8MiB allocated
Algorithm
egg-herbie
Rules
208×unsub-neg_binary64
124×distribute-lft-neg-in_binary64
106×neg-mul-1_binary64
76×+-commutative_binary64
70×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075205
1119205
2157205
3185205
4228205
5280205
6331205
7406205
8508205
9543205
10577205
11607205
12615205
13621205
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(if (<=.f64 y #s(literal 1261007895663739/4503599627370496 binary64)) (-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (-.f64 (-.f64 x (*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64)))) z))
(if (<=.f64 y #s(literal 58999999999999998521590473547028200539518158438819640336555724809850684318550610543602542121275837382656 binary64)) (-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))))
(if (<=.f64 z #s(literal -19000000000000000000 binary64)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) (if (<=.f64 z #s(literal -5488560851220479/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (if (<=.f64 z #s(literal 389999999999999985940692992 binary64)) (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))))
(if (<=.f64 y #s(literal 8119040131286125/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) (-.f64 x z) (if (<=.f64 y #s(literal 2685539873210385/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 700000000000000033169659690240613213295632470482168174236156111249819443132486650335073110377862260588544 binary64)) (-.f64 (+.f64 x y) z) (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))))))
(if (<=.f64 y #s(literal 2261417427871815/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) (-.f64 x z) (if (<=.f64 y #s(literal 2737184870772123/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 7999999999999999398942092951943056340357366958678707691513807777802353599806344212825307950102541230012240467309244258262712320 binary64)) (-.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))))
(if (<=.f64 y #s(literal 259999999999999981066844922128250637401321458935128278982373485299106378894772675629068018807672351502104758774051226369713504256 binary64)) (-.f64 (+.f64 x y) z) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 x z)
(if (<=.f64 z #s(literal -229999999999999984017488081143130019069952 binary64)) (neg.f64 z) (if (<=.f64 z #s(literal 5000000000000 binary64)) x (neg.f64 z)))
x
Outputs
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)
(-.f64 (+.f64 x (-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(-.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z)
(if (<=.f64 y #s(literal 1261007895663739/4503599627370496 binary64)) (-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (-.f64 (-.f64 x (*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64)))) z))
(if (<=.f64 y #s(literal 1261007895663739/4503599627370496 binary64)) (-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (-.f64 (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) z))
(if (<=.f64 y #s(literal 58999999999999998521590473547028200539518158438819640336555724809850684318550610543602542121275837382656 binary64)) (-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))))
(if (<=.f64 z #s(literal -19000000000000000000 binary64)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) (if (<=.f64 z #s(literal -5488560851220479/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (if (<=.f64 z #s(literal 389999999999999985940692992 binary64)) (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))))
(if (<=.f64 z #s(literal -19000000000000000000 binary64)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) (if (<=.f64 z #s(literal -5488560851220479/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (if (<=.f64 z #s(literal 389999999999999985940692992 binary64)) (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))))
(if (<=.f64 y #s(literal 8119040131286125/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) (-.f64 x z) (if (<=.f64 y #s(literal 2685539873210385/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 700000000000000033169659690240613213295632470482168174236156111249819443132486650335073110377862260588544 binary64)) (-.f64 (+.f64 x y) z) (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))))))
(if (<=.f64 y #s(literal 2261417427871815/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) (-.f64 x z) (if (<=.f64 y #s(literal 2737184870772123/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 7999999999999999398942092951943056340357366958678707691513807777802353599806344212825307950102541230012240467309244258262712320 binary64)) (-.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))))
(if (<=.f64 y #s(literal 259999999999999981066844922128250637401321458935128278982373485299106378894772675629068018807672351502104758774051226369713504256 binary64)) (-.f64 (+.f64 x y) z) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 x z)
(if (<=.f64 z #s(literal -229999999999999984017488081143130019069952 binary64)) (neg.f64 z) (if (<=.f64 z #s(literal 5000000000000 binary64)) x (neg.f64 z)))
(if (<=.f64 z #s(literal -229999999999999984017488081143130019069952 binary64)) (-.f64 #s(literal 0 binary64) z) (if (<=.f64 z #s(literal 5000000000000 binary64)) x (-.f64 #s(literal 0 binary64) z)))
x

soundness3.5s (24%)

Memory
69.5MiB live, 4 913.9MiB allocated
Rules
17 462×accelerator-lowering-fma.f32
17 462×accelerator-lowering-fma.f64
12 810×accelerator-lowering-fma.f32
12 810×accelerator-lowering-fma.f64
10 946×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02895505
19305193
230304830
081764650
05255676
117005315
255575179
083544915
030161
1249129
22474128
09441121
02463854
17503560
222323323
365933275
083213148
01271274
14151196
213191105
347031074
08540991
01036
17336
269336
0882733
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 621 to 355 computations (42.8% saved)

preprocess69.0ms (0.5%)

Memory
3.7MiB live, 199.2MiB allocated
Compiler

Compiled 482 to 180 computations (62.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...