Numeric.SpecFunctions:stirlingError from math-functions-0.1.5.2

Time bar (total: 10.6s)

analyze1.0ms (0%)

Memory
2.2MiB live, 2.2MiB 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)

sample1.1s (10.4%)

Memory
-36.1MiB live, 1 371.8MiB allocated
Samples
666.0ms8 254×0valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 458.0ms
ival-sub: 141.0ms (30.8% of total)
ival-add: 128.0ms (27.9% of total)
ival-log: 114.0ms (24.9% of total)
ival-mult: 61.0ms (13.3% of total)
ival-true: 6.0ms (1.3% of total)
exact: 5.0ms (1.1% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess247.0ms (2.3%)

Memory
8.7MiB live, 243.1MiB 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 y) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z))
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)))

explain126.0ms (1.2%)

Memory
12.4MiB live, 285.9MiB 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
44.0ms512×0valid
Compiler

Compiled 124 to 44 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-log: 11.0ms (43.5% of total)
ival-sub: 5.0ms (19.8% of total)
ival-add: 5.0ms (19.8% of total)
ival-mult: 3.0ms (11.9% 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB 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)

simplify185.0ms (1.8%)

Memory
0.9MiB live, 239.6MiB 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 (-.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)
cost-diff128
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
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 y) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z))
(+ (- x (* (+ y 1/2) (log y))) y)
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y))
(- x (* (+ y 1/2) (log y)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
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

localize31.0ms (0.3%)

Memory
-1.2MiB live, 77.5MiB 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)))
accuracy99.8%
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
accuracy99.7%
(*.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: 4.0ms (36.4% of total)
ival-add: 3.0ms (27.3% of total)
ival-sub: 2.0ms (18.2% of total)
ival-mult: 2.0ms (18.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
12.2MiB live, 50.8MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (- x (* (+ y 1/2) (log y)))>
#<alt (- (+ (- x (* (+ y 1/2) (log y))) y) z)>
#<alt (+ (- x (* (+ y 1/2) (log y))) y)>
#<alt (* (+ y 1/2) (log y))>
Outputs
#<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 (- 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)))>
#<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
5.0ms
x
@0
(- x (* (+ y 1/2) (log y)))
4.0ms
y
@0
(- x (* (+ y 1/2) (log y)))
3.0ms
y
@inf
(- x (* (+ y 1/2) (log y)))
3.0ms
y
@-inf
(- x (* (+ y 1/2) (log y)))
1.0ms
z
@0
(- (+ (- x (* (+ y 1/2) (log y))) y) z)

rewrite480.0ms (4.6%)

Memory
15.9MiB live, 538.4MiB 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)))
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
(+ (- x (* (+ y 1/2) (log y))) y)
(* (+ y 1/2) (log y))
Outputs
(+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x))))))
(+.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x))))
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)))) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) x)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) x))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 (-.f64 x (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(-.f64 (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (log.f64 y) y))
(-.f64 (-.f64 x (*.f64 y (log.f64 y))) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(-.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (*.f64 y (log.f64 y)))
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 y)) x)
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y)))) (neg.f64 (log.f64 y))) x)
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(/.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) (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y)))))
(/.f64 (*.f64 (log.f64 y) (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64))) (+.f64 (neg.f64 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 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (log.f64 y)) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64)) (log.f64 y)) (+.f64 (neg.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 #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 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y)))) (log.f64 y)))
(*.f64 (fma.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) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y)))))
(*.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y)))))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))

simplify474.0ms (4.5%)

Memory
-27.6MiB live, 641.3MiB 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
08535991
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* -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))))))))
(- 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)))))))))
(* 1/2 (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
(* -1 (* (log y) (+ 1/2 y)))
(*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))
(- x (* (log y) (+ 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
(- x (* (log y) (+ 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
(- x (* (log y) (+ 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
x
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
x
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
(- x (* 1/2 (log y)))
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
(* y (log (/ 1 y)))
(neg.f64 (*.f64 y (log.f64 y)))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(fma.f64 y (/.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(fma.f64 y (/.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(fma.f64 y (/.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) 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)))))
(- y (+ z (* (log y) (+ 1/2 y))))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x)
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x)
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x)
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x)
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x)
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x)
(- x (+ z (* 1/2 (log y))))
(-.f64 x (fma.f64 (log.f64 y) #s(literal 1/2 binary64) z))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(* y (- 1 (* -1 (log (/ 1 y)))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y)
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y)
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(fma.f64 y (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y)
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.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) 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 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(- y (* (log y) (+ 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
(- (+ x y) (* (log y) (+ 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
(- (+ x y) (* (log y) (+ 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
(- (+ x y) (* (log y) (+ 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
x
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
x
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(fma.f64 x (/.f64 y x) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
(- x (* 1/2 (log y)))
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
(* y (- 1 (* -1 (log (/ 1 y)))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 y (/.f64 x y) y))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 y (/.f64 x y) y))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (fma.f64 y (/.f64 x y) y))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.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 #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))))))
(* 1/2 (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))))

eval128.0ms (1.2%)

Memory
-34.1MiB live, 121.3MiB allocated
Compiler

Compiled 13 729 to 1 379 computations (90% saved)

prune68.0ms (0.6%)

Memory
34.9MiB live, 192.9MiB 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
30.8%
(fma.f64 (log.f64 y) (neg.f64 y) y)
79.4%
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x)
49.6%
(/.f64 (fma.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) #s(literal 1 binary64))) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z)))))
70.5%
(-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)
62.0%
(-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z)
70.3%
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
99.7%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) 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)
99.9%
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z)
60.7%
(-.f64 (+.f64 x y) z)
61.3%
(-.f64 x z)
68.0%
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
78.2%
(*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))))
33.3%
(neg.f64 z)
29.7%
x
Compiler

Compiled 442 to 274 computations (38% saved)

simplify229.0ms (2.2%)

Memory
8.4MiB live, 240.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z))
cost-diff0
(+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z)))))
cost-diff0
(-.f64 #s(literal -1/2 binary64) y)
cost-diff0
(log.f64 y)
cost-diff0
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
cost-diff0
(-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)
cost-diff0
(neg.f64 y)
cost-diff0
(log.f64 y)
cost-diff0
(fma.f64 (log.f64 y) (neg.f64 y) y)
cost-diff0
(log.f64 y)
cost-diff0
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
cost-diff0
(+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))
cost-diff0
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z)
Rules
4 240×accelerator-lowering-fma.f32
4 240×accelerator-lowering-fma.f64
1 246×div-sub
1 016×+-lowering-+.f64
1 016×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023144
156143
2143143
3422143
41150143
52684143
64170143
74578143
84755143
94757143
104757143
114873143
124911143
134911143
144911143
154911143
04911133
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (+ x (+ (* (log y) (- -1/2 y)) y)) z)
(+ x (+ (* (log y) (- -1/2 y)) y))
x
(+ (* (log y) (- -1/2 y)) y)
(log y)
y
(- -1/2 y)
-1/2
z
x
(+ (* (log y) (neg y)) y)
(log y)
y
(neg y)
(- (+ (* (log y) (- -1/2 y)) y) z)
(+ (* (log y) (- -1/2 y)) y)
(log y)
y
(- -1/2 y)
-1/2
z
(/ 1 (/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z)))))
1
(/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z))))
(+ y (- x (+ (* (+ y 1/2) (log y)) z)))
y
(- x (+ (* (+ y 1/2) (log y)) z))
x
(+ (* (+ y 1/2) (log y)) z)
(+ y 1/2)
1/2
(log y)
z
Outputs
(- (+ x (+ (* (log y) (- -1/2 y)) y)) z)
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(+ x (+ (* (log y) (- -1/2 y)) y))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))
x
(+ (* (log y) (- -1/2 y)) y)
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
(log y)
(log.f64 y)
y
(- -1/2 y)
(-.f64 #s(literal -1/2 binary64) y)
-1/2
#s(literal -1/2 binary64)
z
x
(+ (* (log y) (neg y)) y)
(fma.f64 (log.f64 y) (neg.f64 y) y)
(log y)
(log.f64 y)
y
(neg y)
(neg.f64 y)
(- (+ (* (log y) (- -1/2 y)) y) z)
(-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))
(+ (* (log y) (- -1/2 y)) y)
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
(log y)
(log.f64 y)
y
(- -1/2 y)
(-.f64 #s(literal -1/2 binary64) y)
-1/2
#s(literal -1/2 binary64)
z
(/ 1 (/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z)))))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
1
#s(literal 1 binary64)
(/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z))))
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))))
(+ y (- x (+ (* (+ y 1/2) (log y)) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
y
(- x (+ (* (+ y 1/2) (log y)) z))
(-.f64 x (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))
x
(+ (* (+ y 1/2) (log y)) z)
(fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(log y)
(log.f64 y)
z

localize81.0ms (0.8%)

Memory
-16.6MiB live, 175.9MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z)))
accuracy99.8%
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z)))))
accuracy99.0%
(/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z))))
accuracy100.0%
(-.f64 #s(literal -1/2 binary64) y)
accuracy100.0%
(log.f64 y)
accuracy100.0%
(-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)
accuracy99.7%
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(log.f64 y)
accuracy99.6%
(fma.f64 (log.f64 y) (neg.f64 y) y)
accuracy100.0%
(log.f64 y)
accuracy100.0%
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z)
accuracy100.0%
(+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))
accuracy99.7%
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
Samples
48.0ms256×0valid
Compiler

Compiled 139 to 25 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sub: 11.0ms (35.9% of total)
ival-add: 7.0ms (22.8% of total)
ival-mult: 4.0ms (13.1% of total)
ival-log: 4.0ms (13.1% of total)
ival-div: 3.0ms (9.8% of total)
ival-neg: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series116.0ms (1.1%)

Memory
16.9MiB live, 170.7MiB allocated
Counts
13 → 312
Calls
Call 1
Inputs
#<alt (- (+ x (+ (* (log y) (- -1/2 y)) y)) z)>
#<alt (+ x (+ (* (log y) (- -1/2 y)) y))>
#<alt (+ (* (log y) (- -1/2 y)) y)>
#<alt (log y)>
#<alt (+ (* (log y) (neg y)) y)>
#<alt (neg y)>
#<alt (- (+ (* (log y) (- -1/2 y)) y) z)>
#<alt (- -1/2 y)>
#<alt (/ 1 (/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z)))))>
#<alt (/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z))))>
#<alt (+ y (- x (+ (* (+ y 1/2) (log y)) z)))>
#<alt (- x (+ (* (+ y 1/2) (log y)) z))>
#<alt (+ (* (+ y 1/2) (log y)) z)>
Outputs
#<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 (* -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)))>
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#<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 (- 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 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 (* -1 (+ z (* (log y) (+ 1/2 y))))>
#<alt (- x (+ z (* (log y) (+ 1/2 y))))>
#<alt (- x (+ z (* (log y) (+ 1/2 y))))>
#<alt (- x (+ z (* (log y) (+ 1/2 y))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (+ z (* (log y) (+ 1/2 y))) x))))>
#<alt (* x (+ 1 (* -1 (/ (+ z (* (log y) (+ 1/2 y))) x))))>
#<alt (* x (+ 1 (* -1 (/ (+ z (* (log y) (+ 1/2 y))) x))))>
#<alt x>
#<alt (* -1 (* x (- (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)) 1)))>
#<alt (* -1 (* x (- (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)) 1)))>
#<alt (* -1 (* x (- (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)) 1)))>
#<alt (- x (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* -1 (* y (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* -1 (* y (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* -1 (* y (log y)))) (+ z (* 1/2 (log y))))>
#<alt (* y (log (/ 1 y)))>
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))>
#<alt (- x (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (* -1 z)) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (* -1 z)) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (* -1 z)) (* (log y) (+ 1/2 y)))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (/ x z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (/ x z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- x (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- x (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- x (* (log y) (+ 1/2 y))) z)))))>
#<alt (+ z (* 1/2 (log y)))>
#<alt (+ z (+ (* 1/2 (log y)) (* y (log y))))>
#<alt (+ z (+ (* 1/2 (log y)) (* y (log y))))>
#<alt (+ z (+ (* 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)) (/ z y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))>
#<alt (* (log y) (+ 1/2 y))>
#<alt (+ z (* (log y) (+ 1/2 y)))>
#<alt (+ z (* (log y) (+ 1/2 y)))>
#<alt (+ z (* (log y) (+ 1/2 y)))>
#<alt z>
#<alt (* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))>
#<alt (* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))>
#<alt (* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))>
Calls

78 calls:

TimeVariablePointExpression
50.0ms
y
@0
(log y)
34.0ms
y
@-inf
(log y)
7.0ms
y
@0
(+ (* (log y) (neg y)) y)
5.0ms
y
@inf
(log y)
2.0ms
z
@0
(/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z))))

rewrite483.0ms (4.6%)

Memory
22.5MiB live, 658.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 808×accelerator-lowering-fma.f32
4 808×accelerator-lowering-fma.f64
4 122×*-lowering-*.f32
4 122×*-lowering-*.f64
3 892×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023110
1177109
21645109
08654100
Stop Event
iter limit
node limit
Counts
13 → 621
Calls
Call 1
Inputs
(- (+ x (+ (* (log y) (- -1/2 y)) y)) z)
(+ x (+ (* (log y) (- -1/2 y)) y))
(+ (* (log y) (- -1/2 y)) y)
(log y)
(+ (* (log y) (neg y)) y)
(neg y)
(- (+ (* (log y) (- -1/2 y)) y) z)
(- -1/2 y)
(/ 1 (/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z)))))
(/ 1 (+ y (- x (+ (* (+ y 1/2) (log y)) z))))
(+ y (- x (+ (* (+ y 1/2) (log y)) z)))
(- x (+ (* (+ y 1/2) (log y)) z))
(+ (* (+ y 1/2) (log y)) z)
Outputs
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) (+.f64 x (neg.f64 z)))
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) (-.f64 x z))
(+.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (neg.f64 z))
(+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) x)
(+.f64 (neg.f64 z) (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)))
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z))
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z)
(-.f64 (/.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64)) (fma.f64 z (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))) (/.f64 (*.f64 z z) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))) (/.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) #s(literal 2 binary64)) (-.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (neg.f64 z))))
(fma.f64 #s(literal -1 binary64) z (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)))
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) (*.f64 x x))) (neg.f64 z))
(fma.f64 (fma.f64 y (*.f64 y y) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))) (+.f64 x (neg.f64 z)))
(fma.f64 (fma.f64 y (*.f64 y y) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))) (-.f64 x z))
(fma.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 2 binary64)))) x)
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) (neg.f64 z))
(fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (neg.f64 y))) (+.f64 x (neg.f64 z)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (neg.f64 y))) (-.f64 x z))
(fma.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (*.f64 z z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (*.f64 z z)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 z (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (+.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (*.f64 z z)) (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)))
(/.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (neg.f64 z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))) (neg.f64 (fma.f64 z (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (neg.f64 z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (+.f64 x (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) (neg.f64 z))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z) #s(literal 2 binary64)) (*.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)))))
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(fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (fma.f64 z (*.f64 z z) (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
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(pow.f64 (/.f64 (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (-.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 z z))) #s(literal -1 binary64))
(*.f64 (fma.f64 z (*.f64 z z) (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))))

simplify378.0ms (3.6%)

Memory
-24.1MiB live, 702.1MiB allocated
Algorithm
egg-herbie
Rules
7 430×accelerator-lowering-fma.f32
7 430×accelerator-lowering-fma.f64
3 828×+-lowering-+.f64
3 828×+-lowering-+.f32
3 794×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04755486
115165122
251614937
082574653
Stop Event
iter limit
node limit
Counts
312 → 312
Calls
Call 1
Inputs
(- (+ 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
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(* -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 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)))))
(* -1 (+ z (* (log y) (+ 1/2 y))))
(- x (+ z (* (log y) (+ 1/2 y))))
(- x (+ z (* (log y) (+ 1/2 y))))
(- x (+ z (* (log y) (+ 1/2 y))))
x
(* x (+ 1 (* -1 (/ (+ z (* (log y) (+ 1/2 y))) x))))
(* x (+ 1 (* -1 (/ (+ z (* (log y) (+ 1/2 y))) x))))
(* x (+ 1 (* -1 (/ (+ z (* (log y) (+ 1/2 y))) x))))
x
(* -1 (* x (- (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)) 1)))
(* -1 (* x (- (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)) 1)))
(* -1 (* x (- (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)) 1)))
(- x (+ z (* 1/2 (log y))))
(- (+ x (* -1 (* y (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* -1 (* y (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* -1 (* y (log y)))) (+ z (* 1/2 (log y))))
(* y (log (/ 1 y)))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(- x (* (log y) (+ 1/2 y)))
(- (+ x (* -1 z)) (* (log y) (+ 1/2 y)))
(- (+ x (* -1 z)) (* (log y) (+ 1/2 y)))
(- (+ x (* -1 z)) (* (log y) (+ 1/2 y)))
(* -1 z)
(* z (- (/ x z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (/ x z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (/ x z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- x (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- x (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- x (* (log y) (+ 1/2 y))) z)))))
(+ z (* 1/2 (log y)))
(+ z (+ (* 1/2 (log y)) (* y (log y))))
(+ z (+ (* 1/2 (log y)) (* y (log y))))
(+ z (+ (* 1/2 (log y)) (* y (log y))))
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))
(* (log y) (+ 1/2 y))
(+ z (* (log y) (+ 1/2 y)))
(+ z (* (log y) (+ 1/2 y)))
(+ z (* (log y) (+ 1/2 y)))
z
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
z
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))
Outputs
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)
(-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z))
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
x
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x)))
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x)))
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x)))
x
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x)) (neg.f64 x))
(- (+ x (* -1/2 (log y))) z)
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z))
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(* y (+ 1 (log (/ 1 y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(+.f64 y (*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (/.f64 (-.f64 x z) y))))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(+.f64 y (*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (/.f64 (-.f64 x z) y))))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(+.f64 y (*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (/.f64 (-.f64 x z) y))))
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y)
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))
(*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 x z)) y) (+.f64 #s(literal 1 binary64) (-.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 (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))
(*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 x z)) y) (+.f64 #s(literal 1 binary64) (-.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 (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))
(*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 x z)) y) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))))
(+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)))
(* -1 z)
(neg.f64 z)
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(fma.f64 z (+.f64 (/.f64 x z) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (neg.f64 z))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(fma.f64 z (+.f64 (/.f64 x z) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (neg.f64 z))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(fma.f64 z (+.f64 (/.f64 x z) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(fma.f64 z (/.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(fma.f64 z (/.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(fma.f64 z (/.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) z) (neg.f64 z))
(+ y (* -1 (* (log y) (+ 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
(+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)
(+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)
(+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)
x
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))))
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x)
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))))
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x)
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))))
(fma.f64 x (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x)
x
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x))))
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x))))
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x))))
(+ x (* -1/2 (log y)))
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)
(* y (+ 1 (log (/ 1 y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))
(fma.f64 y (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (-.f64 (/.f64 x y) (log.f64 y))) y)
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))
(fma.f64 y (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (-.f64 (/.f64 x y) (log.f64 y))) y)
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))
(fma.f64 y (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (-.f64 (/.f64 x y) (log.f64 y))) y)
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y)
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))
(neg.f64 (fma.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) x) y))) (neg.f64 y)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))
(neg.f64 (fma.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) x) y))) (neg.f64 y)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))
(neg.f64 (fma.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) x) y))) (neg.f64 y)))
(* -1/2 (log y))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
(* y (+ 1 (log (/ 1 y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))))
(fma.f64 y (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) y)
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))))
(fma.f64 y (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) y)
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))))
(fma.f64 y (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) y)
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y)
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1)))
(neg.f64 (fma.f64 y (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1/2 binary64) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1)))
(neg.f64 (fma.f64 y (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1/2 binary64) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)))
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(log y)
(log.f64 y)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
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(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
(fma.f64 (log.f64 y) (*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) z) z)
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
(fma.f64 (log.f64 y) (*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) z) z)
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
(fma.f64 (log.f64 y) (*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) z) z)
z
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))
(fma.f64 (log.f64 y) (*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) z) z)
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))
(fma.f64 (log.f64 y) (*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) z) z)
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))
(fma.f64 (log.f64 y) (*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) z) z)

eval308.0ms (2.9%)

Memory
4.2MiB live, 284.0MiB allocated
Compiler

Compiled 31 365 to 2 603 computations (91.7% saved)

prune388.0ms (3.7%)

Memory
3.5MiB live, 244.5MiB allocated
Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New1 041121 053
Fresh2911
Picked235
Done000
Total1 045241 069
Accuracy
100.0%
Counts
1 069 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.4%
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
30.8%
(fma.f64 (log.f64 y) (neg.f64 y) y)
70.3%
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z))
79.4%
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x)
49.6%
(/.f64 (fma.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) #s(literal 1 binary64))) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))))
30.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64)))) (+.f64 (/.f64 z (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) (/.f64 x (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64))))))) y))
30.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)))
33.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z))))
29.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
29.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
33.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
70.5%
(-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)
62.0%
(-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z)
41.3%
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) y) z)
99.7%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) 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)
60.7%
(-.f64 (+.f64 x y) z)
42.1%
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
30.8%
(-.f64 y (*.f64 y (log.f64 y)))
61.3%
(-.f64 x z)
68.0%
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)
78.2%
(*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))))
33.3%
(neg.f64 z)
29.7%
x
Compiler

Compiled 627 to 383 computations (38.9% saved)

simplify265.0ms (2.5%)

Memory
-5.2MiB live, 242.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 y)
cost-diff0
(fma.f64 (log.f64 y) (neg.f64 y) y)
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)))
cost-diff0
(-.f64 x z)
cost-diff0
(log.f64 y)
cost-diff0
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z))
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 y x))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
cost-diff0
(neg.f64 z)
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 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
cost-diff1088
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
Rules
4 320×accelerator-lowering-fma.f32
4 320×accelerator-lowering-fma.f64
1 048×+-lowering-+.f64
1 048×--lowering--.f32
1 048×+-lowering-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025122
156111
2146111
3418111
41046111
52484111
63262111
73608111
83759111
93828111
103830111
113843111
123863111
133871111
143871111
153906111
163906111
03906107
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (+ (- 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
(neg z)
z
(/ 1 (/ 1 (+ y x)))
1
(/ 1 (+ y x))
(+ y x)
y
x
(+ (* (log y) -1/2) (- x z))
(log y)
y
-1/2
(- x z)
x
z
(/ 1 (/ 1 (+ (* (log y) (neg y)) y)))
1
(/ 1 (+ (* (log y) (neg y)) y))
(+ (* (log y) (neg y)) y)
(log y)
y
(neg y)
Outputs
(- (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) z)
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))
(+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y)
(+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))
(- x (/ (log y) (/ 1 (+ y 1/2))))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
x
(/ (log y) (/ 1 (+ y 1/2)))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(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
(neg z)
(neg.f64 z)
z
(/ 1 (/ 1 (+ y x)))
(+.f64 x y)
1
#s(literal 1 binary64)
(/ 1 (+ y x))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
(+ y x)
(+.f64 x y)
y
x
(+ (* (log y) -1/2) (- x z))
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z))
(log y)
(log.f64 y)
y
-1/2
#s(literal -1/2 binary64)
(- x z)
(-.f64 x z)
x
z
(/ 1 (/ 1 (+ (* (log y) (neg y)) y)))
(fma.f64 (log.f64 y) (neg.f64 y) y)
1
#s(literal 1 binary64)
(/ 1 (+ (* (log y) (neg y)) y))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y))
(+ (* (log y) (neg y)) y)
(fma.f64 (log.f64 y) (neg.f64 y) y)
(log y)
(log.f64 y)
y
(neg y)
(neg.f64 y)

localize77.0ms (0.7%)

Memory
-2.9MiB live, 194.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 y)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)))
accuracy99.6%
(fma.f64 (log.f64 y) (neg.f64 y) y)
accuracy98.8%
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y))
accuracy100.0%
(-.f64 x z)
accuracy100.0%
(log.f64 y)
accuracy100.0%
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z))
accuracy100.0%
(+.f64 y x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 y x))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
accuracy100.0%
(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
accuracy99.8%
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))) y)
accuracy99.6%
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
Samples
45.0ms256×0valid
Compiler

Compiled 128 to 27 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 9.0ms (31% of total)
ival-add: 6.0ms (20.6% of total)
ival-log: 5.0ms (17.2% of total)
ival-sub: 4.0ms (13.8% of total)
ival-mult: 3.0ms (10.3% of total)
ival-neg: 2.0ms (6.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-12.9MiB live, 25.8MiB allocated
Counts
15 → 300
Calls
Call 1
Inputs
#<alt (/ (log y) (/ 1 (+ y 1/2)))>
#<alt (- x (/ (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 (neg z)>
#<alt (/ 1 (/ 1 (+ y x)))>
#<alt (/ 1 (+ y x))>
#<alt (+ y x)>
#<alt (+ (* (log y) -1/2) (- x z))>
#<alt (log y)>
#<alt (- x z)>
#<alt (/ 1 (/ 1 (+ (* (log y) (neg y)) y)))>
#<alt (/ 1 (+ (* (log y) (neg y)) y))>
#<alt (+ (* (log y) (neg y)) y)>
#<alt (/ 1 (+ 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 (* -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 (- 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 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 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 (/ 1 x)>
#<alt (+ (* -1 (/ y (pow x 2))) (/ 1 x))>
#<alt (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -1 (/ x y))) y)>
#<alt (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)>
#<alt (/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ x y) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ x (pow y 2))) (/ 1 y))>
#<alt (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ y x))) x)>
#<alt (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)>
#<alt (/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ y x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt (- (+ x (* 1/2 (log (/ 1 y)))) z)>
#<alt (- (+ x (* 1/2 (log (/ 1 y)))) z)>
#<alt (- (+ x (* 1/2 (log (/ 1 y)))) z)>
#<alt (- (+ x (* 1/2 (log (/ 1 y)))) z)>
#<alt (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)>
#<alt (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)>
#<alt (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)>
#<alt (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)>
#<alt (- (* -1/2 (log y)) z)>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt x>
#<alt (* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))>
#<alt (* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))>
#<alt (* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))>
#<alt (+ x (* -1/2 (log y)))>
#<alt (+ x (+ (* -1 z) (* -1/2 (log y))))>
#<alt (+ x (+ (* -1 z) (* -1/2 (log y))))>
#<alt (+ x (+ (* -1 z) (* -1/2 (log y))))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))>
#<alt (* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))>
#<alt (* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))>
#<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 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x 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 (* y (+ 1 (* -1 (log y))))>
#<alt (* y (+ 1 (* -1 (log y))))>
#<alt (* y (+ 1 (* -1 (log y))))>
#<alt (* y (+ 1 (* -1 (log y))))>
#<alt (* y (+ 1 (log (/ 1 y))))>
#<alt (* y (+ 1 (log (/ 1 y))))>
#<alt (* y (+ 1 (log (/ 1 y))))>
#<alt (* y (+ 1 (log (/ 1 y))))>
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (/ 1 (* y (+ 1 (* -1 (log y)))))>
#<alt (/ 1 (* y (+ 1 (* -1 (log y)))))>
#<alt (/ 1 (* y (+ 1 (* -1 (log y)))))>
#<alt (/ 1 (* y (+ 1 (* -1 (log y)))))>
#<alt (/ 1 (* y (+ 1 (log (/ 1 y)))))>
#<alt (/ 1 (* y (+ 1 (log (/ 1 y)))))>
#<alt (/ 1 (* y (+ 1 (log (/ 1 y)))))>
#<alt (/ 1 (* y (+ 1 (log (/ 1 y)))))>
#<alt (/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (* y (+ 1 (* -1 (log y))))>
#<alt (* y (+ 1 (* -1 (log y))))>
#<alt (* y (+ 1 (* -1 (log y))))>
#<alt (* y (+ 1 (* -1 (log y))))>
#<alt (* y (+ 1 (log (/ 1 y))))>
#<alt (* y (+ 1 (log (/ 1 y))))>
#<alt (* y (+ 1 (log (/ 1 y))))>
#<alt (* y (+ 1 (log (/ 1 y))))>
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt 2>
#<alt (+ 2 (* -4 y))>
#<alt (+ 2 (* y (- (* 8 y) 4)))>
#<alt (+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (* 1/2 (/ 1 y))) y)>
#<alt (/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y)>
#<alt (/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y))>
Calls

75 calls:

TimeVariablePointExpression
2.0ms
y
@0
(/ 1 (+ y 1/2))
1.0ms
x
@0
(/ 1 (+ y x))
0.0ms
y
@-inf
(/ 1 (+ (* (log y) (neg y)) y))
0.0ms
y
@0
(/ 1 (+ (* (log y) (neg y)) y))
0.0ms
y
@inf
(/ 1 (+ (* (log y) (neg y)) y))

rewrite421.0ms (4%)

Memory
15.5MiB live, 761.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 988×*-lowering-*.f32
4 988×*-lowering-*.f64
4 306×/-lowering-/.f32
4 306×/-lowering-/.f64
4 288×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02598
118187
2156387
0891986
Stop Event
iter limit
node limit
Counts
15 → 977
Calls
Call 1
Inputs
(/ (log y) (/ 1 (+ y 1/2)))
(- x (/ (log y) (/ 1 (+ y 1/2))))
(- (+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y) z)
(+ (- x (/ (log y) (/ 1 (+ y 1/2)))) y)
(neg z)
(/ 1 (/ 1 (+ y x)))
(/ 1 (+ y x))
(+ y x)
(+ (* (log y) -1/2) (- x z))
(log y)
(- x z)
(/ 1 (/ 1 (+ (* (log y) (neg y)) y)))
(/ 1 (+ (* (log y) (neg y)) y))
(+ (* (log y) (neg y)) y)
(/ 1 (+ y 1/2))
Outputs
(+.f64 (*.f64 y (log.f64 y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(+.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y))))
(fma.f64 y (log.f64 y) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(fma.f64 y (log.f64 y) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(fma.f64 (log.f64 y) y (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(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)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 y) (*.f64 y (log.f64 y)))
(neg.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y))))
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (log.f64 y)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y))) #s(literal -1 binary64))
(/.f64 (*.f64 (log.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (log.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 y)))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (log.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (log.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64)))) (neg.f64 (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64)))) (neg.f64 (*.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 (log.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 y (log.f64 y)) (*.f64 (log.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 (*.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 (log.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 y (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))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (-.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 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
(*.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)))
(*.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (log.f64 y) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))
(+.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y))))
(+.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y))) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) x) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) x)) (/.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y))))) (/.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y))))))
(fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x)
(fma.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y))) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) x)
(fma.f64 (neg.f64 (log.f64 y)) (+.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 y) x)
(fma.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) (+.f64 y #s(literal 1/2 binary64)) x)
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(*.f64 (/.f64 (fma.f64 y (-.f64 y (neg.f64 (*.f64 y (log.f64 y)))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 y (*.f64 y (log.f64 y))) (fma.f64 y (-.f64 y (neg.f64 (*.f64 y (log.f64 y)))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y)))))
(pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))

simplify419.0ms (4%)

Memory
9.0MiB live, 633.4MiB allocated
Algorithm
egg-herbie
Rules
12 638×accelerator-lowering-fma.f32
12 638×accelerator-lowering-fma.f64
4 818×*-lowering-*.f32
4 818×*-lowering-*.f64
3 740×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03502874
110592675
229672545
083592404
Stop Event
iter limit
node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* 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)))))
(* -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))))))))
(- 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 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
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)))
(/ 1 x)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ 1 y)
(/ (+ 1 (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ 1 y)
(* -1 (/ (- (/ x y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/ 1 x)
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
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)
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(+ x y)
x
(* x (+ 1 (/ y x)))
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(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* 1/2 (log (/ 1 y)))) z)
(- (+ x (* 1/2 (log (/ 1 y)))) z)
(- (+ x (* 1/2 (log (/ 1 y)))) z)
(- (+ x (* 1/2 (log (/ 1 y)))) z)
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(- (* -1/2 (log y)) z)
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* -1/2 (log y))) z)
x
(* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))
(* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))
(* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))
(+ x (* -1/2 (log y)))
(+ x (+ (* -1 z) (* -1/2 (log y))))
(+ x (+ (* -1 z) (* -1/2 (log y))))
(+ x (+ (* -1 z) (* -1/2 (log y))))
(* -1 z)
(* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))
(* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))
(* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))
(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 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* y (+ 1 (* -1 (log y))))
(* y (+ 1 (* -1 (log y))))
(* y (+ 1 (* -1 (log y))))
(* y (+ 1 (* -1 (log y))))
(* y (+ 1 (log (/ 1 y))))
(* y (+ 1 (log (/ 1 y))))
(* y (+ 1 (log (/ 1 y))))
(* y (+ 1 (log (/ 1 y))))
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(/ 1 (* y (+ 1 (* -1 (log y)))))
(/ 1 (* y (+ 1 (* -1 (log y)))))
(/ 1 (* y (+ 1 (* -1 (log y)))))
(/ 1 (* y (+ 1 (* -1 (log y)))))
(/ 1 (* y (+ 1 (log (/ 1 y)))))
(/ 1 (* y (+ 1 (log (/ 1 y)))))
(/ 1 (* y (+ 1 (log (/ 1 y)))))
(/ 1 (* y (+ 1 (log (/ 1 y)))))
(/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(* y (+ 1 (* -1 (log y))))
(* y (+ 1 (* -1 (log y))))
(* y (+ 1 (* -1 (log y))))
(* y (+ 1 (* -1 (log y))))
(* y (+ 1 (log (/ 1 y))))
(* y (+ 1 (log (/ 1 y))))
(* y (+ 1 (log (/ 1 y))))
(* y (+ 1 (log (/ 1 y))))
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
2
(+ 2 (* -4 y))
(+ 2 (* y (- (* 8 y) 4)))
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))
(/ 1 y)
(/ (- 1 (* 1/2 (/ 1 y))) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y)
(/ 1 y)
(* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 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))))
(*.f64 y (log.f64 y))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) y) (log.f64 y)))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) y) (log.f64 y)))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) y) (log.f64 y)))
(* 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 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))
(* -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 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))
(* -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 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))
(* -1 (* (log y) (+ 1/2 y)))
(*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)))
(- x (* (log y) (+ 1/2 y)))
(fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x)
(- x (* (log y) (+ 1/2 y)))
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(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (-.f64 (/.f64 (*.f64 y y) x) y)) (neg.f64 x)) y) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ y x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(/.f64 (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (-.f64 (/.f64 (*.f64 y y) x) y)) (neg.f64 x)) y) x)) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(- (+ x (* -1/2 (log y))) z)
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
(- (+ x (* -1/2 (log y))) z)
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
(- (+ x (* -1/2 (log y))) z)
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
(- (+ x (* -1/2 (log y))) z)
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
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(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
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(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
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(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
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(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
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(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 x z))
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 x z))
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 x z))
(- (* -1/2 (log y)) z)
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (neg.f64 z))
(- (+ x (* -1/2 (log y))) z)
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
(- (+ x (* -1/2 (log y))) z)
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
(- (+ x (* -1/2 (log y))) z)
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
x
(* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 y) z) x) (neg.f64 x) x)
(* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 y) z) x) (neg.f64 x) x)
(* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 y) z) x) (neg.f64 x) x)
x
(* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 y) z) x) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 y) z) x) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 y) z) x) (neg.f64 x) x)
(+ x (* -1/2 (log y)))
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)
(+ x (+ (* -1 z) (* -1/2 (log y))))
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
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(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
(+ x (+ (* -1 z) (* -1/2 (log y))))
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
(* -1 z)
(neg.f64 z)
(* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))
(fma.f64 z (/.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) (neg.f64 z))
(* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))
(fma.f64 z (/.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) (neg.f64 z))
(* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))
(fma.f64 z (/.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))
(fma.f64 z (/.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))
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(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))
(fma.f64 z (/.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) (neg.f64 z))
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(fma.f64 x (/.f64 z (neg.f64 x)) x)
(* x (+ 1 (* -1 (/ z x))))
(fma.f64 x (/.f64 z (neg.f64 x)) x)
(* x (+ 1 (* -1 (/ z x))))
(fma.f64 x (/.f64 z (neg.f64 x)) x)
x
(* -1 (* x (- (/ z x) 1)))
(fma.f64 x (/.f64 z (neg.f64 x)) x)
(* -1 (* x (- (/ z x) 1)))
(fma.f64 x (/.f64 z (neg.f64 x)) x)
(* -1 (* x (- (/ z x) 1)))
(fma.f64 x (/.f64 z (neg.f64 x)) x)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(neg.f64 z)
(* z (- (/ x z) 1))
(-.f64 (/.f64 (*.f64 z x) z) z)
(* z (- (/ x z) 1))
(-.f64 (/.f64 (*.f64 z x) z) z)
(* z (- (/ x z) 1))
(-.f64 (/.f64 (*.f64 z x) z) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 (/.f64 (*.f64 z x) z) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 (/.f64 (*.f64 z x) z) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 (/.f64 (*.f64 z x) z) z)
(* y (+ 1 (* -1 (log y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (+ 1 (* -1 (log y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (+ 1 (* -1 (log y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (+ 1 (* -1 (log y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (+ 1 (log (/ 1 y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (+ 1 (log (/ 1 y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (+ 1 (log (/ 1 y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (+ 1 (log (/ 1 y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y)
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y)
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y)
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y)
(/ 1 (* y (+ 1 (* -1 (log y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y))
(/ 1 (* y (+ 1 (* -1 (log y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y))
(/ 1 (* y (+ 1 (* -1 (log y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y))
(/ 1 (* y (+ 1 (* -1 (log y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y))
(/ 1 (* y (+ 1 (log (/ 1 y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y))
(/ 1 (* y (+ 1 (log (/ 1 y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y))
(/ 1 (* y (+ 1 (log (/ 1 y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y))
(/ 1 (* y (+ 1 (log (/ 1 y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y))
(/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(/.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(/.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(/.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(/.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(* y (+ 1 (* -1 (log y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (+ 1 (* -1 (log y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (+ 1 (* -1 (log y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (+ 1 (* -1 (log y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (+ 1 (log (/ 1 y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (+ 1 (log (/ 1 y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (+ 1 (log (/ 1 y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (+ 1 (log (/ 1 y))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y)
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y)
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y)
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(fma.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* -4 y))
(fma.f64 y #s(literal -4 binary64) #s(literal 2 binary64))
(+ 2 (* y (- (* 8 y) 4)))
(fma.f64 y (fma.f64 y #s(literal 8 binary64) #s(literal -4 binary64)) #s(literal 2 binary64))
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -16 binary64) #s(literal 8 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (* 1/2 (/ 1 y))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)) y)) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) y)) y)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) y) #s(literal -1/4 binary64)) y)) y)) y))

eval191.0ms (1.8%)

Memory
13.4MiB live, 337.9MiB allocated
Compiler

Compiled 34 033 to 3 579 computations (89.5% saved)

prune220.0ms (2.1%)

Memory
18.8MiB live, 454.0MiB allocated
Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New1 306131 319
Fresh41216
Picked325
Done033
Total1 313301 343
Accuracy
100.0%
Counts
1 343 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.4%
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
30.8%
(fma.f64 (log.f64 y) (neg.f64 y) y)
38.9%
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)
79.4%
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x)
5.8%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
12.6%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
11.9%
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
6.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
29.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
30.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)))
33.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z))))
2.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
29.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
70.5%
(-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)
62.0%
(-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z)
41.3%
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) y) z)
99.8%
(-.f64 (/.f64 (fma.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z)
87.7%
(-.f64 (+.f64 (fma.f64 (*.f64 x (log.f64 y)) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) x) y) z)
99.7%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) z)
90.9%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) y))) y) z)
60.7%
(-.f64 (+.f64 x y) z)
30.8%
(-.f64 y (*.f64 y (log.f64 y)))
61.3%
(-.f64 x z)
68.0%
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)
6.7%
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
11.9%
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
78.2%
(*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))))
33.3%
(neg.f64 z)
2.4%
y
29.7%
x
Compiler

Compiled 723 to 458 computations (36.7% saved)

simplify272.0ms (2.6%)

Memory
-1.4MiB live, 429.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal -1/2 binary64) y)
cost-diff0
(log.f64 y)
cost-diff0
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
cost-diff0
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)
cost-diff0
(-.f64 x y)
cost-diff0
(fma.f64 x (-.f64 x y) (*.f64 y y))
cost-diff0
(/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
cost-diff0
(-.f64 y x)
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 (+.f64 y x) (-.f64 y x))
cost-diff1408
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
cost-diff0
(neg.f64 (+.f64 y x))
cost-diff0
(-.f64 (/.f64 (fma.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z)
cost-diff448
(fma.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y)))
cost-diff2112
(/.f64 (fma.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
Rules
7 278×accelerator-lowering-fma.f32
7 278×accelerator-lowering-fma.f64
2 716×--lowering--.f32
2 716×--lowering--.f64
2 102×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035205
177195
2194185
3681173
42419173
56966173
08307166
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (/ (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) (/ 1 (+ y 1/2))) z)
(/ (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) (/ 1 (+ y 1/2)))
(+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y)))
(neg (+ y x))
(+ y x)
y
x
(/ -1 (+ y 1/2))
-1
(+ y 1/2)
1/2
(neg (log y))
(log y)
(/ 1 (+ y 1/2))
1
z
y
(/ (* (+ y x) (- y x)) (- y x))
(* (+ y x) (- y x))
(+ y x)
y
x
(- y x)
(/ 1 (/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y)))))
1
(/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y))))
(+ (* x (- x y)) (* y y))
x
(- x y)
y
(* y y)
(+ (* x (* x x)) (* y (* y y)))
(* x x)
(* y (* y y))
(+ (+ (* (log y) (- -1/2 y)) y) x)
(+ (* (log y) (- -1/2 y)) y)
(log y)
y
(- -1/2 y)
-1/2
x
Outputs
(- (/ (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) (/ 1 (+ y 1/2))) z)
(+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z)))
(/ (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) (/ 1 (+ y 1/2)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
(+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y)))
(-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))
(neg (+ y x))
(-.f64 (neg.f64 y) x)
(+ y x)
(+.f64 y x)
y
x
(/ -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)
(neg (log y))
(neg.f64 (log.f64 y))
(log y)
(log.f64 y)
(/ 1 (+ y 1/2))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) y))
1
#s(literal 1 binary64)
z
y
(/ (* (+ y x) (- y x)) (- y x))
(+.f64 y x)
(* (+ y x) (- y x))
(*.f64 (+.f64 y x) (-.f64 y x))
(+ y x)
(+.f64 y x)
y
x
(- y x)
(-.f64 y x)
(/ 1 (/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y)))))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y y (*.f64 x (-.f64 x y))))
1
#s(literal 1 binary64)
(/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y))))
(/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))
(+ (* x (- x y)) (* y y))
(fma.f64 y y (*.f64 x (-.f64 x y)))
x
(- x y)
(-.f64 x y)
y
(* y y)
(*.f64 y y)
(+ (* x (* x x)) (* y (* y y)))
(fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
(* y (* y y))
(*.f64 y (*.f64 y y))
(+ (+ (* (log y) (- -1/2 y)) y) x)
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
(+ (* (log y) (- -1/2 y)) y)
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) 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

localize110.0ms (1%)

Memory
9.1MiB live, 207.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal -1/2 binary64) y)
accuracy100.0%
(log.f64 y)
accuracy100.0%
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)
accuracy99.7%
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
accuracy99.9%
(*.f64 y (*.f64 y y))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
accuracy95.0%
(fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))
accuracy34.5%
(/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
accuracy100.0%
(-.f64 y x)
accuracy100.0%
(+.f64 y x)
accuracy100.0%
(*.f64 (+.f64 y x) (-.f64 y x))
accuracy53.7%
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
accuracy100.0%
(/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))
accuracy99.9%
(fma.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y)))
accuracy99.7%
(/.f64 (fma.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
Samples
68.0ms256×0valid
Compiler

Compiled 212 to 37 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 11.0ms (26.8% of total)
ival-div: 9.0ms (21.9% of total)
ival-add: 9.0ms (21.9% of total)
ival-sub: 5.0ms (12.2% of total)
ival-log: 3.0ms (7.3% of total)
ival-neg: 2.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
-21.5MiB live, 55.9MiB allocated
Counts
20 → 420
Calls
Call 1
Inputs
#<alt (/ (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) (/ 1 (+ y 1/2)))>
#<alt (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y)))>
#<alt (- (/ (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) (/ 1 (+ y 1/2))) z)>
#<alt (neg (+ y x))>
#<alt (/ (* (+ y x) (- y x)) (- y x))>
#<alt (* (+ y x) (- y x))>
#<alt (+ y x)>
#<alt (- y x)>
#<alt (/ 1 (/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y)))))>
#<alt (/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y))))>
#<alt (+ (* x (- x y)) (* y y))>
#<alt (- x y)>
#<alt (+ (+ (* (log y) (- -1/2 y)) y) x)>
#<alt (+ (* (log y) (- -1/2 y)) y)>
#<alt (log y)>
#<alt (- -1/2 y)>
#<alt (/ -1 (+ y 1/2))>
#<alt (/ 1 (+ y 1/2))>
#<alt (+ (* x (* x x)) (* y (* y y)))>
#<alt (* y (* y y))>
Outputs
#<alt (* 1/2 (- (* 2 x) (log y)))>
#<alt (+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (* 2 x)) (log y))))>
#<alt (+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (+ (* 2 x) (* y (- (+ 2 (* -1/2 (+ 4 (* -8 x)))) (* 4 x))))) (log y))))>
#<alt (+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (+ (* 2 x) (* y (- (+ 2 (+ (* -1/2 (+ 4 (* -8 x))) (* y (+ (* -1 (+ 4 (* -8 x))) (* 1/2 (- 8 (* 16 x))))))) (* 4 x))))) (log y))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (* 1/2 (/ 1 y)))))>
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (+ (* 1/2 (/ (- x 1/2) (pow y 2))) (+ (/ 1/4 (pow y 2)) (/ x y))))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* y (- (+ 1 (+ (* -1 (/ (+ 1/8 (* -1/4 x)) (pow y 3))) (+ (* 1/2 (/ (- 1/4 (* 1/2 x)) (pow y 3))) (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (+ (* 1/2 (/ (- x 1/2) (pow y 2))) (+ (/ 1/4 (pow y 2)) (/ x y))))))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))) 1/2) y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (+ (* -1 (/ (+ (* -1/2 (- x 1/2)) (* 1/2 (- x 1/2))) y)) (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))))) 1/2) y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (- x 1/2)) (* 1/4 (- x 1/2))) y)) (+ (* -1/2 (- x 1/2)) (* 1/2 (- x 1/2)))) y)) (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))))) 1/2) y)))))>
#<alt (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))>
#<alt (+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))))>
#<alt (+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))))>
#<alt (+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))))>
#<alt x>
#<alt (* x (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)))>
#<alt (* x (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)))>
#<alt (* x (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) 1)))>
#<alt (- (* 2 x) (log y))>
#<alt (- (+ (* 2 x) (* y (- 2 (* 4 x)))) (log y))>
#<alt (- (+ (* 2 x) (* y (- (+ 2 (* -1 (* y (+ 4 (* -8 x))))) (* 4 x)))) (log y))>
#<alt (- (+ (* 2 x) (* y (- (+ 2 (* y (- (* y (- 8 (* 16 x))) (+ 4 (* -8 x))))) (* 4 x)))) (log y))>
#<alt (- 1 (* -1 (log (/ 1 y))))>
#<alt (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* 1/2 (/ 1 y))))>
#<alt (- (+ 1 (+ (/ 1/4 (pow y 2)) (/ x y))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))>
#<alt (- (+ 1 (+ (* -1 (/ (+ 1/8 (* -1/4 x)) (pow y 3))) (+ (/ 1/4 (pow y 2)) (/ x y)))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (- (+ 1 (/ x y)) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ 1 y)))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (- x 1/2)) (* 1/2 (/ (- x 1/2) y))) y))) (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (- x 1/2)) (* -1 (/ (+ (* -1/2 (- x 1/2)) (* 1/4 (/ (- x 1/2) y))) y))) y))) (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (- (/ y (+ 1/2 y)) (log y))>
#<alt (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))>
#<alt (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))>
#<alt (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))>
#<alt (/ x (+ 1/2 y))>
#<alt (* x (- (+ (/ 1 (+ 1/2 y)) (/ y (* x (+ 1/2 y)))) (/ (log y) x)))>
#<alt (* x (- (+ (/ 1 (+ 1/2 y)) (/ y (* x (+ 1/2 y)))) (/ (log y) x)))>
#<alt (* x (- (+ (/ 1 (+ 1/2 y)) (/ y (* x (+ 1/2 y)))) (/ (log y) x)))>
#<alt (/ x (+ 1/2 y))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ y (+ 1/2 y)) (log y)) x)) (/ 1 (+ 1/2 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ y (+ 1/2 y)) (log y)) x)) (/ 1 (+ 1/2 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ y (+ 1/2 y)) (log y)) x)) (/ 1 (+ 1/2 y)))))>
#<alt (- (* 1/2 (- (* 2 x) (log y))) z)>
#<alt (- (+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (* 2 x)) (log y)))) z)>
#<alt (- (+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (+ (* 2 x) (* y (- (+ 2 (* -1/2 (+ 4 (* -8 x)))) (* 4 x))))) (log y)))) z)>
#<alt (- (+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (+ (* 2 x) (* y (- (+ 2 (+ (* -1/2 (+ 4 (* -8 x))) (* y (+ (* -1 (+ 4 (* -8 x))) (* 1/2 (- 8 (* 16 x))))))) (* 4 x))))) (log y)))) z)>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ 1 y)) (/ z y)))))>
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (+ (* 1/2 (/ (- x 1/2) (pow y 2))) (+ (/ 1/4 (pow y 2)) (/ x y))))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (/ 1 y)) (/ z y))))))>
#<alt (* y (- (+ 1 (+ (* -1 (/ (+ 1/8 (* -1/4 x)) (pow y 3))) (+ (* 1/2 (/ (- 1/4 (* 1/2 x)) (pow y 3))) (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (+ (* 1/2 (/ (- x 1/2) (pow y 2))) (+ (/ 1/4 (pow y 2)) (/ x y))))))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (/ 1 y)) (/ z y))))))>
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))) (+ 1/2 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (+ (* -1 (/ (+ (* -1/2 (- x 1/2)) (* 1/2 (- x 1/2))) y)) (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))))) (+ 1/2 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (- x 1/2)) (* 1/4 (- x 1/2))) y)) (+ (* -1/2 (- x 1/2)) (* 1/2 (- x 1/2)))) y)) (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))))) (+ 1/2 z)) y)))))>
#<alt (- (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) z)>
#<alt (- (+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))) z)>
#<alt (- (+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))) z)>
#<alt (- (+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))) z)>
#<alt x>
#<alt (* x (- (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) (/ z x)))>
#<alt (* x (- (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) (/ z x)))>
#<alt (* x (- (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) z) x)) 1)))>
#<alt (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y)))>
#<alt (+ (* -1 z) (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))))>
#<alt (+ (* -1 z) (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))))>
#<alt (+ (* -1 z) (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))))>
#<alt (* -1 z)>
#<alt (* z (- (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z) 1))>
#<alt (* z (- (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z) 1))>
#<alt (* z (- (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (* (+ 1/2 y) (- (+ (/ x (+ 1/2 y)) (/ y (+ 1/2 y))) (log y))) z)))))>
#<alt (* -1 x)>
#<alt (- (* -1 y) x)>
#<alt (- (* -1 y) x)>
#<alt (- (* -1 y) x)>
#<alt (* -1 y)>
#<alt (* y (- (* -1 (/ x y)) 1))>
#<alt (* y (- (* -1 (/ x y)) 1))>
#<alt (* y (- (* -1 (/ x y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (/ x y))))>
#<alt (* -1 (* y (+ 1 (/ x y))))>
#<alt (* -1 (* y (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (- (* -1 x) y)>
#<alt (- (* -1 x) y)>
#<alt (- (* -1 x) y)>
#<alt (* -1 x)>
#<alt (* x (- (* -1 (/ y x)) 1))>
#<alt (* x (- (* -1 (/ y x)) 1))>
#<alt (* x (- (* -1 (/ y x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ y x))))>
#<alt (* -1 (* x (+ 1 (/ y x))))>
#<alt (* -1 (* x (+ 1 (/ y x))))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (* y (+ x (* -1 x))))>
#<alt (+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))>
#<alt (+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))>
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))>
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))>
#<alt (pow y 2)>
#<alt (+ (* x (+ y (* -1 y))) (pow y 2))>
#<alt (+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))>
#<alt (+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1))>
#<alt (* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) 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 (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (* -1 (/ y x))))>
#<alt (* x (- (+ 1 (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)) (* -1 y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (+ (* -1 (pow y 2)) (pow y 2))) x)) (* -1 y)) x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y))))>
#<alt (* y (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))))))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (* -1 x)) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)) (* -1 x)) y)) 1)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ x (pow y 2))) (/ 1 y))>
#<alt (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ y x))) x)>
#<alt (/ (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ y x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y (pow x 2))) (/ 1 x))>
#<alt (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -1 (/ x y))) y)>
#<alt (/ (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2)))) y)>
#<alt (/ (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2))))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ x y) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) 1) y))>
#<alt (pow y 2)>
#<alt (+ (* -1 (* x y)) (pow y 2))>
#<alt (+ (* x (+ x (* -1 y))) (pow y 2))>
#<alt (+ (* x (+ x (* -1 y))) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y x))))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* x y)) (pow x 2))>
#<alt (+ (* y (+ y (* -1 x))) (pow x 2))>
#<alt (+ (* y (+ y (* -1 x))) (pow x 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (+ x (* -1/2 (log y)))>
#<alt (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))>
#<alt (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))>
#<alt (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))>
#<alt (* y (+ 1 (log (/ 1 y))))>
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))>
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))>
#<alt (* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))>
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))>
#<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 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))))>
#<alt (* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))))>
#<alt (* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ 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 (* -1/2 (log y))>
#<alt (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))>
#<alt (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))>
#<alt (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))>
#<alt (* y (+ 1 (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 (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1)))>
#<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>
#<alt (- (* -1 y) 1/2)>
#<alt (- (* -1 y) 1/2)>
#<alt (- (* -1 y) 1/2)>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))>
#<alt -2>
#<alt (- (* 4 y) 2)>
#<alt (- (* y (+ 4 (* -8 y))) 2)>
#<alt (- (* y (+ 4 (* y (- (* 16 y) 8)))) 2)>
#<alt (/ -1 y)>
#<alt (/ (- (* 1/2 (/ 1 y)) 1) y)>
#<alt (/ (- (* 1/2 (/ 1 y)) (+ 1 (/ 1/4 (pow y 2)))) y)>
#<alt (/ (- (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3)))) (+ 1 (/ 1/4 (pow y 2)))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/4 (/ 1 y))) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/4 (* 1/8 (/ 1 y))) y))) y))) y))>
#<alt 2>
#<alt (+ 2 (* -4 y))>
#<alt (+ 2 (* y (- (* 8 y) 4)))>
#<alt (+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (* 1/2 (/ 1 y))) y)>
#<alt (/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y)>
#<alt (/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y))>
#<alt (pow y 3)>
#<alt (+ (pow x 3) (pow y 3))>
#<alt (+ (pow x 3) (pow y 3))>
#<alt (+ (pow x 3) (pow y 3))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1)))>
#<alt (pow x 3)>
#<alt (+ (pow x 3) (pow y 3))>
#<alt (+ (pow x 3) (pow y 3))>
#<alt (+ (pow x 3) (pow y 3))>
#<alt (pow y 3)>
#<alt (* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3))))>
#<alt (* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3))))>
#<alt (* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3))))>
#<alt (pow y 3)>
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1)))>
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1)))>
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1)))>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
Calls

105 calls:

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

rewrite478.0ms (4.5%)

Memory
2.6MiB live, 732.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 146×accelerator-lowering-fma.f32
5 146×accelerator-lowering-fma.f64
4 680×/-lowering-/.f32
4 680×/-lowering-/.f64
4 588×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035172
1231123
22150123
09519120
Stop Event
iter limit
node limit
Counts
20 → 1 148
Calls
Call 1
Inputs
(/ (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) (/ 1 (+ y 1/2)))
(+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y)))
(- (/ (+ (* (neg (+ y x)) (/ -1 (+ y 1/2))) (neg (log y))) (/ 1 (+ y 1/2))) z)
(neg (+ y x))
(/ (* (+ y x) (- y x)) (- y x))
(* (+ y x) (- y x))
(+ y x)
(- y x)
(/ 1 (/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y)))))
(/ (+ (* x (- x y)) (* y y)) (+ (* x (* x x)) (* y (* y y))))
(+ (* x (- x y)) (* y y))
(- x y)
(+ (+ (* (log y) (- -1/2 y)) y) x)
(+ (* (log y) (- -1/2 y)) y)
(log y)
(- -1/2 y)
(/ -1 (+ y 1/2))
(/ 1 (+ y 1/2))
(+ (* x (* x x)) (* y (* y y)))
(* y (* y y))
Outputs
(+.f64 (*.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) y) (*.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) y))
(+.f64 (*.f64 y (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) (*.f64 y (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) (-.f64 #s(literal -1/2 binary64) y)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (/.f64 (-.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (neg.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (/.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (/.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (+.f64 y x) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 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)))))
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simplify306.0ms (2.9%)

Memory
2.6MiB live, 509.5MiB allocated
Algorithm
egg-herbie
Rules
5 932×accelerator-lowering-fma.f32
5 932×accelerator-lowering-fma.f64
3 862×+-lowering-+.f64
3 862×+-lowering-+.f32
3 048×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06774518
121504186
268834058
081793882
Stop Event
iter limit
node limit
Counts
420 → 420
Calls
Call 1
Inputs
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(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)) (* -1 x)) y)) 1)))
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2))))) x)
(/ 1 x)
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))) x)) 1) x))
(/ 1 x)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ 1 y)
(/ (+ 1 (* -1 (/ x y))) y)
(/ (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2)))) y)
(/ (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2))))) y)
(/ 1 y)
(* -1 (/ (- (/ x y) 1) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) 1) y))
(pow y 2)
(+ (* -1 (* x y)) (pow y 2))
(+ (* x (+ x (* -1 y))) (pow y 2))
(+ (* x (+ x (* -1 y))) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))))
(pow x 2)
(+ (* -1 (* x y)) (pow x 2))
(+ (* y (+ y (* -1 x))) (pow x 2))
(+ (* y (+ y (* -1 x))) (pow x 2))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ x y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(+ x (* -1/2 (log y)))
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))
(* y (+ 1 (log (/ 1 y))))
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))
(* -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)))))) y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1)))
(+ y (* -1 (* (log y) (+ 1/2 y))))
(+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))
(+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))
(+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))
x
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))))
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))))
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))))
x
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))
(* -1/2 (log y))
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))
(* y (+ 1 (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)))))
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1)))
(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
(- (* -1 y) 1/2)
(- (* -1 y) 1/2)
(- (* -1 y) 1/2)
(* -1 y)
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(* -1 y)
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
-2
(- (* 4 y) 2)
(- (* y (+ 4 (* -8 y))) 2)
(- (* y (+ 4 (* y (- (* 16 y) 8)))) 2)
(/ -1 y)
(/ (- (* 1/2 (/ 1 y)) 1) y)
(/ (- (* 1/2 (/ 1 y)) (+ 1 (/ 1/4 (pow y 2)))) y)
(/ (- (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3)))) (+ 1 (/ 1/4 (pow y 2)))) y)
(/ -1 y)
(* -1 (/ (- 1 (* 1/2 (/ 1 y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/4 (/ 1 y))) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/4 (* 1/8 (/ 1 y))) y))) y))) y))
2
(+ 2 (* -4 y))
(+ 2 (* y (- (* 8 y) 4)))
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))
(/ 1 y)
(/ (- 1 (* 1/2 (/ 1 y))) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y)
(/ 1 y)
(* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y))
(pow y 3)
(+ (pow x 3) (pow y 3))
(+ (pow x 3) (pow y 3))
(+ (pow x 3) (pow y 3))
(pow x 3)
(* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3))))
(* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3))))
(* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3))))
(pow x 3)
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1)))
(pow x 3)
(+ (pow x 3) (pow y 3))
(+ (pow x 3) (pow y 3))
(+ (pow x 3) (pow y 3))
(pow y 3)
(* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3))))
(* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3))))
(* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3))))
(pow y 3)
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1)))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
Outputs
(* 1/2 (- (* 2 x) (log y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (log.f64 y)))
(+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (* 2 x)) (log y))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) (log.f64 y))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (log.f64 y))))
(+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (+ (* 2 x) (* y (- (+ 2 (* -1/2 (+ 4 (* -8 x)))) (* 4 x))))) (log y))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (log.f64 y)) (*.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 2 binary64)) (fma.f64 y (fma.f64 x #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) x))) (log.f64 y))))
(+ (* 1/2 (- (* 2 x) (log y))) (* y (- (+ (* 1/2 (- 2 (* 4 x))) (+ (* 2 x) (* y (- (+ 2 (+ (* -1/2 (+ 4 (* -8 x))) (* y (+ (* -1 (+ 4 (* -8 x))) (* 1/2 (- 8 (* 16 x))))))) (* 4 x))))) (log y))))
(fma.f64 y (-.f64 (fma.f64 y (fma.f64 x #s(literal 4 binary64) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -16 binary64) #s(literal 8 binary64)) (fma.f64 x #s(literal 8 binary64) #s(literal -4 binary64))) (*.f64 x #s(literal -4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (log.f64 y))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(* y (- (+ 1 (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (* 1/2 (/ 1 y)))))
(+.f64 y (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1/2 binary64)) y) (log.f64 y)))))
(* y (- (+ 1 (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (+ (* 1/2 (/ (- x 1/2) (pow y 2))) (+ (/ 1/4 (pow y 2)) (/ x y))))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))))
(*.f64 y (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) (/.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y y))) (/.f64 x y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))))))
(* y (- (+ 1 (+ (* -1 (/ (+ 1/8 (* -1/4 x)) (pow y 3))) (+ (* 1/2 (/ (- 1/4 (* 1/2 x)) (pow y 3))) (+ (* 1/2 (/ (- 1 (* -1 (log (/ 1 y)))) y)) (+ (* 1/2 (/ (- x 1/2) (pow y 2))) (+ (/ 1/4 (pow y 2)) (/ x y))))))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))))
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (*.f64 y (*.f64 y y))) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (+.f64 (/.f64 x y) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/4 binary64)) (*.f64 y y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))))) (+.f64 (log.f64 y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))))))
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (neg.f64 y) y)
(* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))) 1/2) y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 x #s(literal -1/2 binary64))) y))))
(* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (+ (* -1 (/ (+ (* -1/2 (- x 1/2)) (* 1/2 (- x 1/2))) y)) (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))))) 1/2) y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 x #s(literal -1/2 binary64))) y))))
(* -1 (* y (+ (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (- (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (- x 1/2)) (* 1/4 (- x 1/2))) y)) (+ (* -1/2 (- x 1/2)) (* 1/2 (- x 1/2)))) y)) (* 1/2 (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))))) 1/2) y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 x #s(literal -1/2 binary64))) y))))
(* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y)))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)))
(+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) x)
(+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) x)
(+ x (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) x)
x
(* x (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) x) x)
(* x (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) x) x)
(* x (+ 1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) x) x)
x
(* -1 (* x (- (* -1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) 1)))
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) 1)))
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* (+ 1/2 y) (- (/ y (+ 1/2 y)) (log y))) x)) 1)))
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(- (* 2 x) (log y))
(-.f64 (*.f64 #s(literal 2 binary64) x) (log.f64 y))
(- (+ (* 2 x) (* y (- 2 (* 4 x)))) (log y))
(-.f64 (fma.f64 y (fma.f64 x #s(literal -4 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (log.f64 y))
(- (+ (* 2 x) (* y (- (+ 2 (* -1 (* y (+ 4 (* -8 x))))) (* 4 x)))) (log y))
(-.f64 (fma.f64 y (fma.f64 y (fma.f64 x #s(literal 8 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal -4 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x)) (log.f64 y))
(- (+ (* 2 x) (* y (- (+ 2 (* y (- (* y (- 8 (* 16 x))) (+ 4 (* -8 x))))) (* 4 x)))) (log y))
(-.f64 (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -16 binary64) #s(literal 8 binary64)) (fma.f64 x #s(literal 8 binary64) #s(literal -4 binary64))) (fma.f64 x #s(literal -4 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x)) (log.f64 y))
(- 1 (* -1 (log (/ 1 y))))
(-.f64 #s(literal 1 binary64) (log.f64 y))
(- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1/2 binary64)) y) (log.f64 y)))
(- (+ 1 (+ (/ 1/4 (pow y 2)) (/ x y))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 x y) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (+.f64 (log.f64 y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)))))
(- (+ 1 (+ (* -1 (/ (+ 1/8 (* -1/4 x)) (pow y 3))) (+ (/ 1/4 (pow y 2)) (/ x y)))) (+ (* -1 (log (/ 1 y))) (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y)))) (-.f64 (+.f64 (/.f64 x y) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (+.f64 (log.f64 y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)))))
(- 1 (+ (log -1) (* -1 (log (/ -1 y)))))
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(- (+ 1 (/ x y)) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ 1 y)))))
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(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))))
(fma.f64 y (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) y)
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))))
(fma.f64 y (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) y)
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (neg.f64 y) y)
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1)))
(fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y)
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1)))
(fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y)
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1)))
(fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
-1/2
#s(literal -1/2 binary64)
(- (* -1 y) 1/2)
(-.f64 #s(literal -1/2 binary64) y)
(- (* -1 y) 1/2)
(-.f64 #s(literal -1/2 binary64) y)
(- (* -1 y) 1/2)
(-.f64 #s(literal -1/2 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) y) y))
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) y) y))
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) y) y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) y) y))
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) y) y))
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) y) y))
-2
#s(literal -2 binary64)
(- (* 4 y) 2)
(fma.f64 y #s(literal 4 binary64) #s(literal -2 binary64))
(- (* y (+ 4 (* -8 y))) 2)
(fma.f64 y (fma.f64 y #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal -2 binary64))
(- (* y (+ 4 (* y (- (* 16 y) 8)))) 2)
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 16 binary64) #s(literal -8 binary64)) #s(literal 4 binary64)) #s(literal -2 binary64))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (* 1/2 (/ 1 y)) 1) y)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)
(/ (- (* 1/2 (/ 1 y)) (+ 1 (/ 1/4 (pow y 2)))) y)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) y)) y)) y)
(/ (- (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3)))) (+ 1 (/ 1/4 (pow y 2)))) y)
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) y)) y))) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (- 1 (* 1/2 (/ 1 y))) y))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/4 (/ 1 y))) y))) y))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) y)) y)) y)
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/4 (* 1/8 (/ 1 y))) y))) y))) y))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) y)) y)) y)) y)
2
#s(literal 2 binary64)
(+ 2 (* -4 y))
(fma.f64 y #s(literal -4 binary64) #s(literal 2 binary64))
(+ 2 (* y (- (* 8 y) 4)))
(fma.f64 y (fma.f64 y #s(literal 8 binary64) #s(literal -4 binary64)) #s(literal 2 binary64))
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -16 binary64) #s(literal 8 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (* 1/2 (/ 1 y))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)) y)) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) y)) y)) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) y)) y)) y)) y)
(pow y 3)
(*.f64 y (*.f64 y y))
(+ (pow x 3) (pow y 3))
(fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))
(+ (pow x 3) (pow y 3))
(fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))
(+ (pow x 3) (pow y 3))
(fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 y y) (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 y y) (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 y y) (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 1 binary64))))
(pow x 3)
(*.f64 x (*.f64 x x))
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1)))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1)))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1)))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))
(pow x 3)
(*.f64 x (*.f64 x x))
(+ (pow x 3) (pow y 3))
(fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))
(+ (pow x 3) (pow y 3))
(fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))
(+ (pow x 3) (pow y 3))
(fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))
(pow y 3)
(*.f64 y (*.f64 y y))
(* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3))))
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))
(* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3))))
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))
(* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3))))
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))
(pow y 3)
(*.f64 y (*.f64 y y))
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (neg.f64 y))))
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (neg.f64 y))))
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (neg.f64 y))))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))

eval441.0ms (4.2%)

Memory
32.5MiB live, 392.9MiB allocated
Compiler

Compiled 57 143 to 4 500 computations (92.1% saved)

prune320.0ms (3%)

Memory
-46.9MiB live, 521.9MiB allocated
Pruning

38 alts after pruning (32 fresh and 6 done)

PrunedKeptTotal
New1 734171 751
Fresh51520
Picked415
Done055
Total1 743381 781
Accuracy
100.0%
Counts
1 781 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.4%
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
30.8%
(fma.f64 (log.f64 y) (neg.f64 y) y)
38.9%
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)
57.6%
(fma.f64 x (/.f64 (fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) y) x) x)
5.8%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
12.6%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
4.1%
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x)))
2.7%
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))))
12.6%
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x))
1.7%
(/.f64 (*.f64 y y) (-.f64 y x))
13.3%
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x))
12.5%
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x))
13.0%
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x))
4.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y)))))
4.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
7.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
6.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
30.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)))
33.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z))))
2.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
29.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
70.5%
(-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)
62.0%
(-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z)
41.3%
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) y) z)
61.3%
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z)
64.2%
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z)
87.7%
(-.f64 (+.f64 (fma.f64 (*.f64 x (log.f64 y)) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) x) y) z)
99.7%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) z)
60.7%
(-.f64 (+.f64 x y) z)
30.8%
(-.f64 y (*.f64 y (log.f64 y)))
61.3%
(-.f64 x z)
59.1%
(+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x)
6.7%
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
11.9%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))
78.2%
(*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))))
33.3%
(neg.f64 z)
2.4%
y
29.7%
x
Compiler

Compiled 1 337 to 525 computations (60.7% saved)

regimes91.0ms (0.9%)

Memory
35.9MiB live, 147.6MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
x
y
(neg.f64 z)
(-.f64 x z)
(-.f64 (+.f64 x y) z)
(/.f64 (*.f64 y y) (-.f64 y x))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))))
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
(fma.f64 (log.f64 y) (neg.f64 y) y)
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) y) z)
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
(+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x)
(-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z)
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)
(-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(fma.f64 x (/.f64 (fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) y) x) x)
(fma.f64 x (/.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)) z)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) y)))
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) y))) y) z)
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z)
(-.f64 (+.f64 (fma.f64 (*.f64 x (log.f64 y)) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) x) 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))) y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) z)))))
(*.f64 z (fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))))
(-.f64 (/.f64 (fma.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z)
(/.f64 (fma.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (+.f64 y z) #s(literal 1 binary64))) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64)))) (+.f64 (/.f64 z (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) (/.f64 x (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 2 binary64))))))) y))
Outputs
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z)
Calls

5 calls:

20.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
18.0ms
y
17.0ms
x
16.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
16.0ms
z
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
99.9%1(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 40 to 28 computations (30% saved)

regimes71.0ms (0.7%)

Memory
3.5MiB live, 124.9MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
x
y
(neg.f64 z)
(-.f64 x z)
(-.f64 (+.f64 x y) z)
(/.f64 (*.f64 y y) (-.f64 y x))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))))
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
(fma.f64 (log.f64 y) (neg.f64 y) y)
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) y) z)
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
(+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x)
(-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z)
(+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)
(-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z)
Outputs
(+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x)
(-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z)
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
Calls

5 calls:

16.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
14.0ms
z
14.0ms
y
12.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
12.0ms
x
Results
AccuracySegmentsBranch
90.4%3x
91.6%2y
92.0%3z
88.1%2(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
94.7%3(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 40 to 28 computations (30% saved)

regimes26.0ms (0.2%)

Memory
7.2MiB live, 45.7MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
x
y
(neg.f64 z)
(-.f64 x z)
(-.f64 (+.f64 x y) z)
(/.f64 (*.f64 y y) (-.f64 y x))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))))
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
(fma.f64 (log.f64 y) (neg.f64 y) y)
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) y) z)
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
(+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x)
Outputs
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
(+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x)
Calls

2 calls:

13.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
11.0ms
y
Results
AccuracySegmentsBranch
91.6%2y
90.1%2(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes64.0ms (0.6%)

Memory
-19.5MiB live, 100.3MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
x
y
(neg.f64 z)
(-.f64 x z)
(-.f64 (+.f64 x y) z)
(/.f64 (*.f64 y y) (-.f64 y x))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))))
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
(fma.f64 (log.f64 y) (neg.f64 y) y)
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) y) z)
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
Outputs
(-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)
(fma.f64 (log.f64 y) (neg.f64 y) y)
Calls

5 calls:

13.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
13.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
11.0ms
y
11.0ms
x
11.0ms
z
Results
AccuracySegmentsBranch
77.9%4(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
74.9%3x
80.3%2(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
75.4%3z
83.2%2y
Compiler

Compiled 40 to 28 computations (30% saved)

regimes24.0ms (0.2%)

Memory
1.3MiB live, 39.8MiB allocated
Counts
35 → 4
Calls
Call 1
Inputs
x
y
(neg.f64 z)
(-.f64 x z)
(-.f64 (+.f64 x y) z)
(/.f64 (*.f64 y y) (-.f64 y x))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))))
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
(fma.f64 (log.f64 y) (neg.f64 y) y)
Outputs
(fma.f64 (log.f64 y) (neg.f64 y) y)
(-.f64 x z)
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
(-.f64 x z)
Calls

2 calls:

12.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
10.0ms
y
Results
AccuracySegmentsBranch
79.6%4(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
74.4%2y
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes17.0ms (0.2%)

Memory
-24.1MiB live, 23.3MiB allocated
Counts
34 → 4
Calls
Call 1
Inputs
x
y
(neg.f64 z)
(-.f64 x z)
(-.f64 (+.f64 x y) z)
(/.f64 (*.f64 y y) (-.f64 y x))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))))
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
Outputs
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 x z)
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
(-.f64 x z)
Calls

1 calls:

10.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Results
AccuracySegmentsBranch
79.6%4(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes32.0ms (0.3%)

Memory
38.7MiB live, 76.5MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
x
y
(neg.f64 z)
(-.f64 x z)
(-.f64 (+.f64 x y) z)
(/.f64 (*.f64 y y) (-.f64 y x))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))))
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)
(-.f64 y (*.f64 y (log.f64 y)))
Outputs
(-.f64 (+.f64 x y) z)
(-.f64 y (*.f64 y (log.f64 y)))
Calls

3 calls:

11.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
9.0ms
y
9.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Results
AccuracySegmentsBranch
74.4%2y
76.8%5(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
71.5%2(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes53.0ms (0.5%)

Memory
-14.9MiB live, 103.0MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
x
y
(neg.f64 z)
(-.f64 x z)
(-.f64 (+.f64 x y) z)
(/.f64 (*.f64 y y) (-.f64 y x))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))))
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)
Outputs
(-.f64 x z)
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)
(-.f64 x z)
Calls

5 calls:

12.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
10.0ms
z
9.0ms
y
9.0ms
x
9.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Results
AccuracySegmentsBranch
61.3%1(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
70.1%3(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
61.3%1x
70.3%3z
61.3%1y
Compiler

Compiled 40 to 28 computations (30% saved)

regimes31.0ms (0.3%)

Memory
16.8MiB live, 53.8MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
x
y
(neg.f64 z)
(-.f64 x z)
(-.f64 (+.f64 x y) z)
(/.f64 (*.f64 y y) (-.f64 y x))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (neg.f64 z))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 x (*.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))))
Outputs
(-.f64 x z)
Calls

3 calls:

11.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
9.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
9.0ms
z
Results
AccuracySegmentsBranch
61.3%1(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
61.3%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
61.3%1z
Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes12.0ms (0.1%)

Memory
-14.6MiB live, 22.5MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
x
y
(neg.f64 z)
Outputs
(neg.f64 z)
x
(neg.f64 z)
Calls

5 calls:

4.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
2.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
52.0%3z
50.5%3x
36.5%2y
40.3%4(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
51.0%3(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 40 to 28 computations (30% saved)

regimes8.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Accuracy

Total -17.8b remaining (-39.6%)

Threshold costs -17.8b (-39.6%)

Counts
2 → 1
Calls
Call 1
Inputs
x
y
Outputs
x
Calls

5 calls:

2.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
2.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
2.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
29.7%1y
29.7%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
29.7%1x
29.7%1(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
29.7%1z
Compiler

Compiled 40 to 28 computations (30% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0936196924463072e+50
-7.609942048718835e+44
0.0ms
-6.6942956226075864e+218
-1.0132850237306494e+211
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch13.0ms (0.1%)

Memory
-19.0MiB live, 18.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
1.4441908226752553e+55
1.981212389200423e+56
Samples
8.0ms96×0valid
Compiler

Compiled 156 to 112 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (50.8% of total)
ival-log: 1.0ms (16.9% of total)
ival-add: 1.0ms (16.9% of total)
ival-mult: 1.0ms (16.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
1.0623648414012879e+90
1.1663299863000812e+91
Samples
6.0ms96×0valid
Compiler

Compiled 144 to 106 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (26.5% of total)
ival-log: 1.0ms (26.5% of total)
ival-add: 1.0ms (26.5% of total)
ival-mult: 1.0ms (26.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
320.56839259796936
328.9459971682056
0.0ms
-410070.68356629874
-9648.280306016815
0.0ms
-2.095932217206808e+106
-1.5938443251697356e+106
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
320.56839259796936
328.9459971682056
0.0ms
-410070.68356629874
-9648.280306016815
0.0ms
-2.095932217206808e+106
-1.5938443251697356e+106
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch285.0ms (2.7%)

Memory
-124.9MiB live, 22.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
283.0ms
5.802655283016433e+67
4.8765883179036935e+69
Samples
280.0ms112×0valid
Compiler

Compiled 151 to 107 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (39.5% of total)
ival-log: 1.0ms (19.8% of total)
ival-add: 1.0ms (19.8% of total)
ival-mult: 1.0ms (19.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Memory
3.7MiB live, 45.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
7.503026340085713e-7
2.9146512424682727e+20
6.0ms
-29342606010401.754
-16555067566517.463
Samples
21.0ms240×0valid
Compiler

Compiled 258 to 196 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-log: 3.0ms (31.6% of total)
ival-sub: 2.0ms (21% of total)
ival-add: 2.0ms (21% of total)
ival-mult: 2.0ms (21% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory
4.6MiB live, 41.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
3.349406647133465e+80
6.183968909015458e+80
18.0ms
-1.519993344898574e+88
-1.5936985004499107e+78
Samples
17.0ms224×0valid
Compiler

Compiled 172 to 142 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 5.0ms (43.2% of total)
ival-log: 3.0ms (25.9% of total)
ival-add: 2.0ms (17.3% of total)
ival-mult: 1.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify15.0ms (0.1%)

Memory
-15.0MiB live, 21.8MiB allocated
Algorithm
egg-herbie
Rules
42×+-commutative_binary64
32×sub-neg_binary64
20×*-commutative_binary64
14×neg-sub0_binary64
14×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065254
1104254
2135254
3149254
4156254
5158254
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z)
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -100000000000000007629769841091887003294964970946560 binary64)) (-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z) (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)))
(if (<=.f64 y #s(literal 170000000000000000378831925785699841583676168573447831552 binary64)) (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) (+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x))
(if (<=.f64 y #s(literal 10999999999999999970559876307552691828070167161461735571653328770519817269159562185734619136 binary64)) (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) (fma.f64 (log.f64 y) (neg.f64 y) y))
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (fma.f64 (log.f64 y) (neg.f64 y) y) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -400000 binary64)) (-.f64 x z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 325 binary64)) (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) (-.f64 x z))))
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (-.f64 y (*.f64 y (log.f64 y))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -400000 binary64)) (-.f64 x z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 325 binary64)) (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) (-.f64 x z))))
(if (<=.f64 y #s(literal 4800000000000000348150894631340328605560197166303305386487408746299392 binary64)) (-.f64 (+.f64 x y) z) (-.f64 y (*.f64 y (log.f64 y))))
(if (<=.f64 z #s(literal -16600000000000 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 210 binary64)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) (-.f64 x z)))
(-.f64 x z)
(if (<=.f64 z #s(literal -820000000000000002851008182322541335054650381777607442577059600132343804471541760 binary64)) (neg.f64 z) (if (<=.f64 z #s(literal 369999999999999996149245561850064422016462846232801781704522239057320435953696768 binary64)) x (neg.f64 z)))
x
Outputs
(-.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z)
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -100000000000000007629769841091887003294964970946560 binary64)) (-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z) (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)))
(if (<=.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (+.f64 x (fma.f64 (log.f64 y) (neg.f64 y) y)) (if (<=.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -100000000000000007629769841091887003294964970946560 binary64)) (-.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) z) (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z)))
(if (<=.f64 y #s(literal 170000000000000000378831925785699841583676168573447831552 binary64)) (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) (+.f64 (fma.f64 (log.f64 y) (neg.f64 y) y) x))
(if (<=.f64 y #s(literal 170000000000000000378831925785699841583676168573447831552 binary64)) (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) (+.f64 x (fma.f64 (log.f64 y) (neg.f64 y) y)))
(if (<=.f64 y #s(literal 10999999999999999970559876307552691828070167161461735571653328770519817269159562185734619136 binary64)) (-.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) z) (fma.f64 (log.f64 y) (neg.f64 y) y))
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (fma.f64 (log.f64 y) (neg.f64 y) y) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -400000 binary64)) (-.f64 x z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 325 binary64)) (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) (-.f64 x z))))
(if (<=.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (fma.f64 (log.f64 y) (neg.f64 y) y) (if (<=.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -400000 binary64)) (-.f64 x z) (if (<=.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal 325 binary64)) (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) (-.f64 x z))))
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (-.f64 y (*.f64 y (log.f64 y))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -400000 binary64)) (-.f64 x z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 325 binary64)) (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) (-.f64 x z))))
(if (<=.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (-.f64 y (*.f64 y (log.f64 y))) (if (<=.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -400000 binary64)) (-.f64 x z) (if (<=.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal 325 binary64)) (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) (-.f64 x z))))
(if (<=.f64 y #s(literal 4800000000000000348150894631340328605560197166303305386487408746299392 binary64)) (-.f64 (+.f64 x y) z) (-.f64 y (*.f64 y (log.f64 y))))
(if (<=.f64 z #s(literal -16600000000000 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 210 binary64)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x) (-.f64 x z)))
(-.f64 x z)
(if (<=.f64 z #s(literal -820000000000000002851008182322541335054650381777607442577059600132343804471541760 binary64)) (neg.f64 z) (if (<=.f64 z #s(literal 369999999999999996149245561850064422016462846232801781704522239057320435953696768 binary64)) x (neg.f64 z)))
x

soundness1.2s (11.5%)

Memory
24.4MiB live, 972.1MiB allocated
Rules
12 810×accelerator-lowering-fma.f32
12 810×accelerator-lowering-fma.f64
12 638×accelerator-lowering-fma.f32
12 638×accelerator-lowering-fma.f64
9 014×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04755486
115165122
251614937
082574653
01271274
14151196
213191105
347031074
08535991
023110
1177109
21645109
08654100
06774518
121504186
268834058
081793882
01036
17336
269336
0882733
03502874
110592675
229672545
083592404
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 566 to 269 computations (52.5% saved)

preprocess121.0ms (1.2%)

Memory
5.7MiB live, 160.4MiB allocated
Compiler

Compiled 588 to 170 computations (71.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...