Logistic regression 2

Time bar (total: 8.4s)

analyze79.0ms (0.9%)

Memory
20.9MiB live, 98.8MiB 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
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.1s (12.9%)

Memory
34.5MiB live, 1 801.3MiB allocated
Samples
513.0ms8 256×0valid
220.0ms2 708×1exit
Precisions
Click to see histograms. Total time spent on operations: 436.0ms
ival-log1p: 118.0ms (27.1% of total)
ival-exp: 114.0ms (26.2% of total)
ival-mult: 88.0ms (20.2% of total)
ival-sub: 67.0ms (15.4% of total)
adjust: 36.0ms (8.3% of total)
ival-true: 8.0ms (1.8% of total)
ival-assert: 4.0ms (0.9% of total)
Bogosity

preprocess41.0ms (0.5%)

Memory
-2.4MiB live, 38.6MiB allocated
Algorithm
egg-herbie
Rules
148×accelerator-lowering-fma.f32
148×accelerator-lowering-fma.f64
108×*-lowering-*.f32
108×*-lowering-*.f64
88×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02460
16158
211758
323758
432758
546158
652558
756158
856458
089
1179
2289
3409
4559
5799
61189
71549
81989
92249
102489
112579
02577
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (log (+ 1 (exp x))) (* x y))
Outputs
(- (log (+ 1 (exp x))) (* x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Call 2
Inputs
(- (log (+ 1 (exp x))) (* x y))
(- (log (+ 1 (exp (neg x)))) (* (neg x) y))
(- (log (+ 1 (exp x))) (* x (neg y)))
(neg (- (log (+ 1 (exp (neg x)))) (* (neg x) y)))
(neg (- (log (+ 1 (exp x))) (* x (neg y))))
(- (log (+ 1 (exp y))) (* y x))
Outputs
(- (log (+ 1 (exp x))) (* x y))
(- (log (+ 1 (exp (neg x)))) (* (neg x) y))
(+ (* x y) (log (+ 1 (exp (neg x)))))
(- (log (+ 1 (exp x))) (* x (neg y)))
(+ (log (+ 1 (exp x))) (* x y))
(neg (- (log (+ 1 (exp (neg x)))) (* (neg x) y)))
(- (* x (neg y)) (log (+ 1 (exp (neg x)))))
(neg (- (log (+ 1 (exp x))) (* x (neg y))))
(- (* x (neg y)) (log (+ 1 (exp x))))
(- (log (+ 1 (exp y))) (* y x))
(- (log (+ 1 (exp y))) (* x y))

explain131.0ms (1.6%)

Memory
-29.1MiB live, 235.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
184(-2.65751261758385e+98 -5.659420132118551e+296)0-(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
00-0-(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 x))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(exp.f64 x)
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))sensitivity840
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))oflow-rescue10
(exp.f64 x)overflow1
(+.f64 #s(literal 1 binary64) (exp.f64 x))overflow1
Confusion
Predicted +Predicted -
+10
-84171
Precision
0.011764705882352941
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-840171
Precision?
0.011764705882352941
Recall?
1.0
Freqs
test
numberfreq
0171
185
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms512×0valid
Compiler

Compiled 78 to 36 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log1p: 5.0ms (25.4% of total)
ival-exp: 4.0ms (20.3% of total)
ival-mult: 4.0ms (20.3% of total)
ival-sub: 2.0ms (10.2% of total)
ival-add: 2.0ms (10.2% of total)
ival-assert: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify14.0ms (0.2%)

Memory
-13.5MiB live, 24.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 x)
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 x))
cost-diff0
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
cost-diff192
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
Rules
148×accelerator-lowering-fma.f32
148×accelerator-lowering-fma.f64
108×*-lowering-*.f32
108×*-lowering-*.f64
52×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
11726
22826
34026
45526
57926
611826
715426
819826
922426
1024826
1125726
025722
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (log (+ 1 (exp x))) (* x y))
(log (+ 1 (exp x)))
(+ 1 (exp x))
1
(exp x)
x
(* x y)
y
Outputs
(- (log (+ 1 (exp x))) (* x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
1
#s(literal 1 binary64)
(exp x)
(exp.f64 x)
x
(* x y)
(*.f64 x y)
y

localize28.0ms (0.3%)

Memory
12.6MiB live, 53.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy99.6%
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
Samples
19.0ms256×0valid
Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log1p: 3.0ms (33.4% of total)
ival-exp: 2.0ms (22.3% of total)
ival-mult: 2.0ms (22.3% of total)
ival-sub: 1.0ms (11.1% of total)
ival-add: 1.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series58.0ms (0.7%)

Memory
-12.2MiB live, 103.3MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#<alt (log (+ 1 (exp x)))>
#<alt (- (log (+ 1 (exp x))) (* x y))>
#<alt (+ 1 (exp x))>
#<alt (exp x)>
Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
Calls

15 calls:

TimeVariablePointExpression
28.0ms
x
@inf
(log (+ 1 (exp x)))
22.0ms
x
@-inf
(log (+ 1 (exp x)))
3.0ms
y
@0
(- (log (+ 1 (exp x))) (* x y))
0.0ms
x
@0
(log (+ 1 (exp x)))
0.0ms
x
@inf
(- (log (+ 1 (exp x))) (* x y))

rewrite322.0ms (3.8%)

Memory
13.7MiB live, 454.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 436×/-lowering-/.f32
4 436×/-lowering-/.f64
3 924×*-lowering-*.f32
3 924×*-lowering-*.f64
3 690×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
14220
230620
3272020
0905616
Stop Event
iter limit
node limit
Counts
4 → 359
Calls
Call 1
Inputs
(log (+ 1 (exp x)))
(- (log (+ 1 (exp x))) (* x y))
(+ 1 (exp x))
(exp x)
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))))
(+.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(+.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 (neg.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))) (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 3 binary64))))) (log1p.f64 (*.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 2 binary64))))) (log1p.f64 (neg.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (exp.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 9 binary64)))) (log.f64 (*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))))) (log.f64 (*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (log.f64 (neg.f64 (expm1.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64)) (*.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64))))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) (log1p.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64)) (*.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(exp.f64 x)
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))

simplify317.0ms (3.8%)

Memory
29.3MiB live, 343.0MiB allocated
Algorithm
egg-herbie
Rules
11 474×accelerator-lowering-fma.f32
11 474×accelerator-lowering-fma.f64
2 426×*-lowering-*.f32
2 426×*-lowering-*.f64
1 772×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067400
1180400
2389400
31353400
44014370
56856370
08132300
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)

eval53.0ms (0.6%)

Memory
-18.3MiB live, 95.0MiB allocated
Compiler

Compiled 14 992 to 1 439 computations (90.4% saved)

prune62.0ms (0.7%)

Memory
-0.2MiB live, 129.4MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4109419
Fresh000
Picked101
Done000
Total4119420
Accuracy
100.0%
Counts
420 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.0%
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
74.3%
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
79.9%
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
79.9%
(-.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) (*.f64 x y))
78.4%
(-.f64 (log.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x y))
88.6%
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
49.5%
(*.f64 x (neg.f64 y))
52.6%
(log1p.f64 (exp.f64 x))
51.8%
(log.f64 #s(literal 2 binary64))
Compiler

Compiled 172 to 128 computations (25.6% saved)

simplify331.0ms (3.9%)

Memory
10.6MiB live, 321.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
cost-diff0
(fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))
cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
cost-diff0
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
cost-diff0
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 x (neg.f64 y))
cost-diff0
(*.f64 x y)
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
Rules
8 352×accelerator-lowering-fma.f32
8 352×accelerator-lowering-fma.f64
1 344×+-lowering-+.f64
1 344×--lowering--.f32
1 344×+-lowering-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026122
166122
2143122
3334122
4710122
51397122
62640122
73978122
84477122
94579122
104582122
114583122
124583122
134583122
144583122
154628122
164628122
174628122
04628111
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (log 2) (* x y))
(log 2)
2
(* x y)
x
y
(* x (neg y))
x
(neg y)
y
(+ (* x (- 1/2 y)) (log 2))
x
(- 1/2 y)
1/2
y
(log 2)
2
(+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2))
x
(- (+ (* x 1/8) 1/2) y)
(+ (* x 1/8) 1/2)
1/8
1/2
y
(log 2)
2
(+ (* x (+ (* x (+ (* -1/192 (* x x)) 1/8)) (- 1/2 y))) (log 2))
x
(+ (* x (+ (* -1/192 (* x x)) 1/8)) (- 1/2 y))
(+ (* -1/192 (* x x)) 1/8)
-1/192
(* x x)
1/8
(- 1/2 y)
1/2
y
(log 2)
2
Outputs
(- (log 2) (* x y))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x y)
(*.f64 x y)
x
y
(* x (neg y))
(neg.f64 (*.f64 x y))
x
(neg y)
(neg.f64 y)
y
(+ (* x (- 1/2 y)) (log 2))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
x
(- 1/2 y)
(-.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
y
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))
x
(- (+ (* x 1/8) 1/2) y)
(-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))
(+ (* x 1/8) 1/2)
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
1/8
#s(literal 1/8 binary64)
1/2
#s(literal 1/2 binary64)
y
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* x (+ (* x (+ (* -1/192 (* x x)) 1/8)) (- 1/2 y))) (log 2))
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
x
(+ (* x (+ (* -1/192 (* x x)) 1/8)) (- 1/2 y))
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y)
(+ (* -1/192 (* x x)) 1/8)
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
-1/192
#s(literal -1/192 binary64)
(* x x)
(*.f64 x x)
1/8
#s(literal 1/8 binary64)
(- 1/2 y)
(-.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
y
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize151.0ms (1.8%)

Memory
-7.8MiB live, 106.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))
accuracy100.0%
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
accuracy99.9%
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
accuracy100.0%
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
accuracy100.0%
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
accuracy100.0%
(-.f64 #s(literal 1/2 binary64) y)
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
accuracy100.0%
(*.f64 x (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
Samples
116.0ms256×0valid
Compiler

Compiled 113 to 28 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-sub: 46.0ms (61.5% of total)
ival-mult: 13.0ms (17.4% of total)
ival-add: 6.0ms (8% of total)
ival-log: 4.0ms (5.3% of total)
const: 4.0ms (5.3% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
30.7MiB live, 30.7MiB allocated
Counts
14 → 252
Calls
Call 1
Inputs
#<alt (- (log 2) (* x y))>
#<alt (log 2)>
#<alt (* x y)>
#<alt (* x (neg y))>
#<alt (neg y)>
#<alt (+ (* x (- 1/2 y)) (log 2))>
#<alt (- 1/2 y)>
#<alt (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2))>
#<alt (- (+ (* x 1/8) 1/2) y)>
#<alt (+ (* x 1/8) 1/2)>
#<alt (+ (* x (+ (* x (+ (* -1/192 (* x x)) 1/8)) (- 1/2 y))) (log 2))>
#<alt (+ (* x (+ (* -1/192 (* x x)) 1/8)) (- 1/2 y))>
#<alt (+ (* -1/192 (* x x)) 1/8)>
#<alt (* x x)>
Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log 2) x) y))>
#<alt (* x (- (/ (log 2) x) y))>
#<alt (* x (- (/ (log 2) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log 2) y) x))>
#<alt (* y (- (/ (log 2) y) x))>
#<alt (* y (- (/ (log 2) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- 1/2 y))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<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 (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))>
#<alt (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))>
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (- 1/2 y)>
#<alt (- (+ 1/2 (* 1/8 x)) y)>
#<alt (- (+ 1/2 (* 1/8 x)) y)>
#<alt (- (+ 1/2 (* 1/8 x)) y)>
#<alt (* 1/8 x)>
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))>
#<alt (+ 1/2 (* 1/8 x))>
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))>
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))>
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))>
#<alt (* -1 y)>
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 x))>
#<alt (+ 1/2 (* 1/8 x))>
#<alt (+ 1/2 (* 1/8 x))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1/192 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* -1/192 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))>
#<alt (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))>
#<alt (- 1/2 y)>
#<alt (- (+ 1/2 (* 1/8 x)) y)>
#<alt (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)>
#<alt (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)>
#<alt (* -1/192 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* -1/192 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))>
#<alt (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))>
#<alt (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))>
#<alt (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))>
#<alt (* -1 y)>
#<alt (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))>
#<alt (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))>
#<alt (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))>
#<alt 1/8>
#<alt (+ 1/8 (* -1/192 (pow x 2)))>
#<alt (+ 1/8 (* -1/192 (pow x 2)))>
#<alt (+ 1/8 (* -1/192 (pow x 2)))>
#<alt (* -1/192 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* -1/192 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

63 calls:

TimeVariablePointExpression
3.0ms
x
@0
(- (log 2) (* x y))
1.0ms
y
@0
(- (log 2) (* x y))
1.0ms
y
@0
(+ (* x (+ (* x (+ (* -1/192 (* x x)) 1/8)) (- 1/2 y))) (log 2))
0.0ms
x
@inf
(+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2))
0.0ms
x
@-inf
(+ (* x (- 1/2 y)) (log 2))

rewrite346.0ms (4.1%)

Memory
-13.0MiB live, 654.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 884×accelerator-lowering-fma.f32
4 884×accelerator-lowering-fma.f64
4 250×/-lowering-/.f32
4 250×/-lowering-/.f64
4 228×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02693
116993
2148393
0832182
Stop Event
iter limit
node limit
Counts
14 → 552
Calls
Call 1
Inputs
(- (log 2) (* x y))
(log 2)
(* x y)
(* x (neg y))
(neg y)
(+ (* x (- 1/2 y)) (log 2))
(- 1/2 y)
(+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2))
(- (+ (* x 1/8) 1/2) y)
(+ (* x 1/8) 1/2)
(+ (* x (+ (* x (+ (* -1/192 (* x x)) 1/8)) (- 1/2 y))) (log 2))
(+ (* x (+ (* -1/192 (* x x)) 1/8)) (- 1/2 y))
(+ (* -1/192 (* x x)) 1/8)
(* x x)
Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(fma.f64 y (neg.f64 x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (log.f64 #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal -1 binary64)) y (log.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 x y (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x y))))) (neg.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x y))))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y (neg.f64 x))))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y (neg.f64 x))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x y))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64))) (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x y)))))) (neg.f64 (neg.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64))))))
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(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))))))
(*.f64 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (-.f64 (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (-.f64 #s(literal 1/2 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (-.f64 #s(literal 1/2 binary64) y))))
(*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) (*.f64 x (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (-.f64 (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (-.f64 #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (-.f64 #s(literal 1/2 binary64) y)))))
(*.f64 (-.f64 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 y y (*.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))))
(*.f64 (-.f64 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y)))
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/192 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/192 binary64))) #s(literal 1/8 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/192 binary64))))) (/.f64 (*.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/192 binary64))))))
(fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x #s(literal -1/192 binary64)) x #s(literal 1/8 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64)) (-.f64 (fma.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/64 binary64)) (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/192 binary64)))) (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/192 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64)) #s(literal 1/64 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64)) (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/192 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64))) (/.f64 (*.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64))))))
(*.f64 (fma.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal -1/8 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/36864 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/192 binary64))))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify338.0ms (4%)

Memory
37.4MiB live, 626.5MiB allocated
Algorithm
egg-herbie
Rules
8 976×accelerator-lowering-fma.f32
8 976×accelerator-lowering-fma.f64
4 318×*-lowering-*.f32
4 318×*-lowering-*.f64
3 144×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01832040
15451997
216251969
361561952
080931828
Stop Event
iter limit
node limit
Counts
252 → 252
Calls
Call 1
Inputs
(log 2)
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(* -1 (* x y))
(* x (- (/ (log 2) x) y))
(* x (- (/ (log 2) x) y))
(* x (- (/ (log 2) x) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(log 2)
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log 2) y) x))
(* y (- (/ (log 2) y) x))
(* y (- (/ (log 2) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* 1/8 x)) y)
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(* -1 y)
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
1/2
(+ 1/2 (* 1/8 x))
(+ 1/2 (* 1/8 x))
(+ 1/2 (* 1/8 x))
(* 1/8 x)
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* 1/8 x)
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
(* -1/192 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 3))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(* -1 y)
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
1/8
(+ 1/8 (* -1/192 (pow x 2)))
(+ 1/8 (* -1/192 (pow x 2)))
(+ 1/8 (* -1/192 (pow x 2)))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (- (/ (log 2) x) y))
(neg.f64 (fma.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 x y)))
(* x (- (/ (log 2) x) y))
(neg.f64 (fma.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 x y)))
(* x (- (/ (log 2) x) y))
(neg.f64 (fma.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 x y)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(neg.f64 (fma.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 x y)))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(neg.f64 (fma.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 x y)))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(neg.f64 (fma.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 x y)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (- (/ (log 2) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* y (- (/ (log 2) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* y (- (/ (log 2) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(+ (log 2) (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(*.f64 y (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(*.f64 y (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(*.f64 y (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(*.f64 y (-.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y) x))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(*.f64 y (-.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y) x))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(*.f64 y (-.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) y) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) y) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) y) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) y) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) y) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) y) y)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(* 1/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 y x)))))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 x y)) x))))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 x y)) x))))
(* 1/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 y x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 x y)) x))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 x y)) x))))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x))
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(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
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(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
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1/2
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(+ 1/2 (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
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(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
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(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
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(* x (+ 1/8 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
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(*.f64 x #s(literal 1/8 binary64))
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(* x (+ 1/8 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(* -1/192 (pow x 4))
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(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
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(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 (+.f64 y #s(literal -1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 x (*.f64 x x)))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
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(- 1/2 y)
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(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
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(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))
(* -1/192 (pow x 3))
(*.f64 #s(literal -1/192 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x)))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x)))))
(* -1/192 (pow x 3))
(*.f64 #s(literal -1/192 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
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(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))
(* -1 y)
(neg.f64 y)
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(* -1 y)
(neg.f64 y)
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1/8
#s(literal 1/8 binary64)
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(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
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(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(+ 1/8 (* -1/192 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(* -1/192 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/192 binary64))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
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(* -1/192 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/192 binary64))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
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(*.f64 x (*.f64 x (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval123.0ms (1.5%)

Memory
-50.7MiB live, 286.6MiB allocated
Compiler

Compiled 26 390 to 2 160 computations (91.8% saved)

prune114.0ms (1.4%)

Memory
13.1MiB live, 213.4MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New84215857
Fresh044
Picked415
Done000
Total84620866
Accuracy
100.0%
Counts
866 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.6%
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
56.7%
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
54.2%
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
52.1%
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
20.6%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
79.9%
(-.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) (*.f64 x y))
78.4%
(-.f64 (log.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x y))
73.0%
(+.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64)))
14.8%
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
29.6%
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
14.8%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
29.5%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
30.1%
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
16.7%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 y x)))))
14.8%
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
29.6%
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
5.3%
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
49.5%
(*.f64 x (neg.f64 y))
52.6%
(log1p.f64 (exp.f64 x))
51.8%
(log.f64 #s(literal 2 binary64))
Compiler

Compiled 518 to 336 computations (35.1% saved)

simplify199.0ms (2.4%)

Memory
18.0MiB live, 212.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
cost-diff192
(+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))
cost-diff320
(*.f64 #s(literal 0 binary64) y)
cost-diff1088
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))
cost-diff0
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 y y))
cost-diff192
(+.f64 #s(literal 0 binary64) y)
cost-diff1344
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
cost-diff0
(-.f64 #s(literal 1/2 binary64) y)
cost-diff0
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
Rules
4 780×*-lowering-*.f32
4 780×*-lowering-*.f64
2 956×accelerator-lowering-fma.f32
2 956×accelerator-lowering-fma.f64
2 074×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031114
189109
2217109
364396
4213396
5338196
6410396
7545596
8742296
0806993
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (neg y) x) (log 2))
(neg y)
y
x
(log 2)
2
(* x (- 1/2 y))
x
(- 1/2 y)
1/2
y
(* x (* (- 0 (* y y)) (/ 1 (+ 0 y))))
x
(* (- 0 (* y y)) (/ 1 (+ 0 y)))
(- 0 (* y y))
0
(* y y)
y
(/ 1 (+ 0 y))
1
(+ 0 y)
(* x (/ 1 (/ (+ 0 (+ (* y y) (* 0 y))) (- 0 (* y (* y y))))))
x
(/ 1 (/ (+ 0 (+ (* y y) (* 0 y))) (- 0 (* y (* y y)))))
1
(/ (+ 0 (+ (* y y) (* 0 y))) (- 0 (* y (* y y))))
(+ 0 (+ (* y y) (* 0 y)))
0
(+ (* y y) (* 0 y))
y
(* 0 y)
(- 0 (* y (* y y)))
(* y (* y y))
(* y y)
(+ (* x (+ (* x 1/8) 1/2)) (log 2))
x
(+ (* x 1/8) 1/2)
1/8
1/2
(log 2)
2
Outputs
(+ (* (neg y) x) (log 2))
(fma.f64 y (neg.f64 x) (log.f64 #s(literal 2 binary64)))
(neg y)
(neg.f64 y)
y
x
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
x
(- 1/2 y)
(-.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
y
(* x (* (- 0 (* y y)) (/ 1 (+ 0 y))))
(*.f64 (neg.f64 y) x)
x
(* (- 0 (* y y)) (/ 1 (+ 0 y)))
(neg.f64 y)
(- 0 (* y y))
(*.f64 y (neg.f64 y))
0
#s(literal 0 binary64)
(* y y)
(*.f64 y y)
y
(/ 1 (+ 0 y))
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 0 y)
y
(* x (/ 1 (/ (+ 0 (+ (* y y) (* 0 y))) (- 0 (* y (* y y))))))
(*.f64 (neg.f64 y) x)
x
(/ 1 (/ (+ 0 (+ (* y y) (* 0 y))) (- 0 (* y (* y y)))))
(neg.f64 y)
1
#s(literal 1 binary64)
(/ (+ 0 (+ (* y y) (* 0 y))) (- 0 (* y (* y y))))
(/.f64 #s(literal -1 binary64) y)
(+ 0 (+ (* y y) (* 0 y)))
(*.f64 y y)
0
#s(literal 0 binary64)
(+ (* y y) (* 0 y))
(*.f64 y y)
y
(* 0 y)
#s(literal 0 binary64)
(- 0 (* y (* y y)))
(*.f64 y (*.f64 y (neg.f64 y)))
(* y (* y y))
(*.f64 y (*.f64 y y))
(* y y)
(*.f64 y y)
(+ (* x (+ (* x 1/8) 1/2)) (log 2))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
x
(+ (* x 1/8) 1/2)
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
1/8
#s(literal 1/8 binary64)
1/2
#s(literal 1/2 binary64)
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize97.0ms (1.1%)

Memory
-1.3MiB live, 166.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
accuracy100.0%
(*.f64 #s(literal 0 binary64) y)
accuracy99.9%
(*.f64 y (*.f64 y y))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))
accuracy36.7%
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))
accuracy100.0%
(+.f64 #s(literal 0 binary64) y)
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
accuracy57.7%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
accuracy100.0%
(-.f64 #s(literal 1/2 binary64) y)
accuracy100.0%
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
accuracy100.0%
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(log.f64 #s(literal 2 binary64))
Samples
54.0ms255×0valid
0.0ms1valid
Compiler

Compiled 178 to 33 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 14.0ms (36.9% of total)
ival-add: 9.0ms (23.7% of total)
ival-div: 6.0ms (15.8% of total)
ival-sub: 4.0ms (10.5% of total)
ival-log: 3.0ms (7.9% of total)
exact: 1.0ms (2.6% of total)
ival-neg: 1.0ms (2.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-25.9MiB live, 12.5MiB allocated
Counts
17 → 228
Calls
Call 1
Inputs
#<alt (+ (* (neg y) x) (log 2))>
#<alt (neg y)>
#<alt (log 2)>
#<alt (* x (- 1/2 y))>
#<alt (- 1/2 y)>
#<alt (* (- 0 (* y y)) (/ 1 (+ 0 y)))>
#<alt (+ 0 y)>
#<alt (- 0 (* y y))>
#<alt (* x (* (- 0 (* y y)) (/ 1 (+ 0 y))))>
#<alt (/ 1 (/ (+ 0 (+ (* y y) (* 0 y))) (- 0 (* y (* y y)))))>
#<alt (/ (+ 0 (+ (* y y) (* 0 y))) (- 0 (* y (* y y))))>
#<alt (* 0 y)>
#<alt (+ 0 (+ (* y y) (* 0 y)))>
#<alt (+ (* x (+ (* x 1/8) 1/2)) (log 2))>
#<alt (+ (* x 1/8) 1/2)>
#<alt (* y y)>
#<alt (* y (* y y))>
Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ (log 2) y)))>
#<alt (* y (+ (* -1 x) (/ (log 2) y)))>
#<alt (* y (+ (* -1 x) (/ (log 2) y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (log 2) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (log 2) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (log 2) y)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ (log 2) x)))>
#<alt (* x (+ (* -1 y) (/ (log 2) x)))>
#<alt (* x (+ (* -1 y) (/ (log 2) x)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (+ y (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (log 2) x)))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<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)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) x)) 1/2) x))))>
#<alt (* (pow x 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) x)) 1/2) x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 x))>
#<alt (+ 1/2 (* 1/8 x))>
#<alt (+ 1/2 (* 1/8 x))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<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

57 calls:

TimeVariablePointExpression
4.0ms
y
@0
(* (- 0 (* y y)) (/ 1 (+ 0 y)))
1.0ms
y
@inf
(* (- 0 (* y y)) (/ 1 (+ 0 y)))
0.0ms
y
@0
(- 0 (* y y))
0.0ms
y
@0
(* y (* y y))
0.0ms
y
@-inf
(* y (* y y))

rewrite345.0ms (4.1%)

Memory
16.9MiB live, 483.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 742×accelerator-lowering-fma.f32
5 742×accelerator-lowering-fma.f64
3 224×/-lowering-/.f32
3 224×/-lowering-/.f64
3 024×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03069
121359
2184559
0875056
Stop Event
iter limit
node limit
Counts
17 → 1 218
Calls
Call 1
Inputs
(+ (* (neg y) x) (log 2))
(neg y)
(log 2)
(* x (- 1/2 y))
(- 1/2 y)
(* (- 0 (* y y)) (/ 1 (+ 0 y)))
(+ 0 y)
(- 0 (* y y))
(* x (* (- 0 (* y y)) (/ 1 (+ 0 y))))
(/ 1 (/ (+ 0 (+ (* y y) (* 0 y))) (- 0 (* y (* y y)))))
(/ (+ 0 (+ (* y y) (* 0 y))) (- 0 (* y (* y y))))
(* 0 y)
(+ 0 (+ (* y y) (* 0 y)))
(+ (* x (+ (* x 1/8) 1/2)) (log 2))
(+ (* x 1/8) 1/2)
(* y y)
(* y (* y y))
Outputs
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) y))
(+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 y (neg.f64 x) (log.f64 #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 y (neg.f64 x) (log.f64 #s(literal 1/2 binary64))))))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 y (neg.f64 x) (log.f64 #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 y (neg.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x))) (/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x))))
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(*.f64 (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 (*.f64 (*.f64 y (neg.f64 y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 y (neg.f64 y)))))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y (neg.f64 y)))))
(*.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (neg.f64 y))))
(*.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 y)) (neg.f64 y))))
(*.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (*.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (neg.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)))
(*.f64 (pow.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y)))
(*.f64 (pow.f64 (*.f64 y y) #s(literal 3/4 binary64)) (pow.f64 (*.f64 y y) #s(literal 3/4 binary64)))

simplify253.0ms (3%)

Memory
-12.1MiB live, 310.2MiB allocated
Algorithm
egg-herbie
Rules
6 440×accelerator-lowering-fma.f32
6 440×accelerator-lowering-fma.f64
3 254×*-lowering-*.f32
3 254×*-lowering-*.f64
1 154×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075826
1226808
2557804
31202804
42936804
54935804
66846804
08046780
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
(log 2)
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (log 2) y)))
(* y (+ (* -1 x) (/ (log 2) y)))
(* y (+ (* -1 x) (/ (log 2) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(log 2)
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (log 2) x)))
(* x (+ (* -1 y) (/ (log 2) x)))
(* x (+ (* -1 y) (/ (log 2) x)))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -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 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
y
y
y
y
y
y
y
y
y
y
y
y
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
0
0
0
0
0
0
0
0
0
0
0
0
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))))
(* (pow x 2) (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) x)) 1/2) x))))
(* (pow x 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) x)) 1/2) x))))
1/2
(+ 1/2 (* 1/8 x))
(+ 1/2 (* 1/8 x))
(+ 1/2 (* 1/8 x))
(* 1/8 x)
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* 1/8 x)
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(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
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (/ (log 2) y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* y (+ (* -1 x) (/ (log 2) y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* y (+ (* -1 x) (/ (log 2) y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (+ (* -1 y) (/ (log 2) x)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* x (+ (* -1 y) (/ (log 2) x)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* x (+ (* -1 y) (/ (log 2) x)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
y
y
y
y
y
y
y
y
y
y
y
y
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(* 1/8 (pow x 2))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(* (pow x 2) (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(* 1/8 (pow x 2))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) x)) 1/2) x))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(* (pow x 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) x)) 1/2) x))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.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))
(pow y 3)
(*.f64 y (*.f64 y y))

eval233.0ms (2.8%)

Memory
48.4MiB live, 345.0MiB allocated
Compiler

Compiled 33 538 to 4 037 computations (88% saved)

prune221.0ms (2.6%)

Memory
-4.8MiB live, 484.4MiB allocated
Pruning

41 alts after pruning (37 fresh and 4 done)

PrunedKeptTotal
New1 525281 553
Fresh5914
Picked235
Done011
Total1 532411 573
Accuracy
100.0%
Counts
1 573 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
88.6%
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
56.7%
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
54.2%
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
52.1%
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
27.4%
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
8.0%
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 x x))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 x))))
15.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
20.6%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
27.4%
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) y)
49.4%
(/.f64 x (/.f64 #s(literal -1 binary64) y))
79.9%
(-.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) (*.f64 x y))
73.0%
(+.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64)))
27.5%
(*.f64 (/.f64 x y) (*.f64 y (neg.f64 y)))
27.4%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y (neg.f64 y))))
27.4%
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
5.1%
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
14.7%
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
14.8%
(*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y)))
29.6%
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
14.8%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
14.8%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y)))))))
10.0%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))))))
14.8%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 y (*.f64 y y)))))
49.5%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
14.8%
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))))
29.5%
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)))
30.1%
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
16.7%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 y x)))))
5.8%
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
29.5%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
14.8%
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
29.6%
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
10.4%
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
8.1%
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y (*.f64 y (neg.f64 y)))))))
8.1%
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))))
5.3%
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
49.5%
(*.f64 x (neg.f64 y))
3.3%
(*.f64 x #s(literal 1/2 binary64))
52.6%
(log1p.f64 (exp.f64 x))
51.8%
(log.f64 #s(literal 2 binary64))
Compiler

Compiled 1 177 to 725 computations (38.4% saved)

simplify190.0ms (2.3%)

Memory
-5.1MiB live, 354.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
cost-diff192
(+.f64 #s(literal 0 binary64) y)
cost-diff1344
(*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
cost-diff2944
(/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))
cost-diff0
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))))
cost-diff1280
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))
cost-diff1280
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y)))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
cost-diff320
(-.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) (*.f64 x y))
Rules
3 752×accelerator-lowering-fma.f32
3 752×accelerator-lowering-fma.f64
3 638×*-lowering-*.f32
3 638×*-lowering-*.f64
1 936×neg-lowering-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031136
186118
2382104
32884102
44525102
57691102
08053100
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (+ (* 1/2 x) (log 2)) (* x y))
(+ (* 1/2 x) (log 2))
1/2
x
(log 2)
2
(* x y)
y
(* x 1/2)
x
1/2
(* x (/ 1 (/ -1 y)))
x
(/ 1 (/ -1 y))
1
(/ -1 y)
-1
y
(* x (/ 1 (* (/ -1 (* y (* y y))) (* y y))))
x
(/ 1 (* (/ -1 (* y (* y y))) (* y y)))
1
(* (/ -1 (* y (* y y))) (* y y))
(/ -1 (* y (* y y)))
-1
(* y (* y y))
y
(* y y)
(* x (* (/ (* y (* (* y (* y (* y y))) y)) (neg (* y (* y (* y y))))) (/ 1 (+ 0 y))))
x
(* (/ (* y (* (* y (* y (* y y))) y)) (neg (* y (* y (* y y))))) (/ 1 (+ 0 y)))
(/ (* y (* (* y (* y (* y y))) y)) (neg (* y (* y (* y y)))))
(* y (* (* y (* y (* y y))) y))
y
(* (* y (* y (* y y))) y)
(* y (* y (* y y)))
(* y (* y y))
(* y y)
(neg (* y (* y (* y y))))
(/ 1 (+ 0 y))
1
(+ 0 y)
0
Outputs
(- (+ (* 1/2 x) (log 2)) (* x y))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (* 1/2 x) (log 2))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
x
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x y)
(*.f64 x y)
y
(* x 1/2)
(*.f64 #s(literal 1/2 binary64) x)
x
1/2
#s(literal 1/2 binary64)
(* x (/ 1 (/ -1 y)))
(*.f64 x (neg.f64 y))
x
(/ 1 (/ -1 y))
(neg.f64 y)
1
#s(literal 1 binary64)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
-1
#s(literal -1 binary64)
y
(* x (/ 1 (* (/ -1 (* y (* y y))) (* y y))))
(*.f64 x (neg.f64 y))
x
(/ 1 (* (/ -1 (* y (* y y))) (* y y)))
(neg.f64 y)
1
#s(literal 1 binary64)
(* (/ -1 (* y (* y y))) (* y y))
(/.f64 #s(literal -1 binary64) y)
(/ -1 (* y (* y y)))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))
-1
#s(literal -1 binary64)
(* y (* y y))
(*.f64 y (*.f64 y y))
y
(* y y)
(*.f64 y y)
(* x (* (/ (* y (* (* y (* y (* y y))) y)) (neg (* y (* y (* y y))))) (/ 1 (+ 0 y))))
(*.f64 x (neg.f64 y))
x
(* (/ (* y (* (* y (* y (* y y))) y)) (neg (* y (* y (* y y))))) (/ 1 (+ 0 y)))
(neg.f64 y)
(/ (* y (* (* y (* y (* y y))) y)) (neg (* y (* y (* y y)))))
(neg.f64 (*.f64 y y))
(* y (* (* y (* y (* y y))) y))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))
y
(* (* y (* y (* y y))) y)
(*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))
(* y (* y (* y y)))
(*.f64 y (*.f64 y (*.f64 y y)))
(* y (* y y))
(*.f64 y (*.f64 y y))
(* y y)
(*.f64 y y)
(neg (* y (* y (* y y))))
(neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))
(/ 1 (+ 0 y))
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 0 y)
y
0
#s(literal 0 binary64)

localize216.0ms (2.6%)

Memory
-10.2MiB live, 260.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 y (*.f64 y (*.f64 y y)))
accuracy99.9%
(*.f64 y (*.f64 y y))
accuracy57.7%
(*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
accuracy18.4%
(/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
accuracy99.9%
(*.f64 y (*.f64 y y))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y)))
accuracy99.4%
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))
accuracy35.8%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))
accuracy100.0%
(/.f64 #s(literal -1 binary64) y)
accuracy100.0%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
accuracy100.0%
(-.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) (*.f64 x y))
Samples
63.0ms256×0valid
Compiler

Compiled 236 to 33 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 27.0ms (59.9% of total)
ival-div: 10.0ms (22.2% of total)
ival-log: 3.0ms (6.7% of total)
ival-add: 2.0ms (4.4% of total)
ival-sub: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-neg: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
18 → 264
Calls
Call 1
Inputs
#<alt (- (+ (* 1/2 x) (log 2)) (* x y))>
#<alt (+ (* 1/2 x) (log 2))>
#<alt (log 2)>
#<alt (* x y)>
#<alt (* x 1/2)>
#<alt (/ 1 (/ -1 y))>
#<alt (* x (/ 1 (/ -1 y)))>
#<alt (/ -1 y)>
#<alt (/ 1 (* (/ -1 (* y (* y y))) (* y y)))>
#<alt (* (/ -1 (* y (* y y))) (* y y))>
#<alt (* x (/ 1 (* (/ -1 (* y (* y y))) (* y y))))>
#<alt (/ -1 (* y (* y y)))>
#<alt (/ (* y (* (* y (* y (* y y))) y)) (neg (* y (* y (* y y)))))>
#<alt (* (/ (* y (* (* y (* y (* y y))) y)) (neg (* y (* y (* y y))))) (/ 1 (+ 0 y)))>
#<alt (+ 0 y)>
#<alt (* x (* (/ (* y (* (* y (* y (* y y))) y)) (neg (* y (* y (* y y))))) (/ 1 (+ 0 y))))>
#<alt (* y (* y y))>
#<alt (* y (* y (* y y)))>
Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (+ 1/2 (* -1 y)))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (+ 1/2 (* -1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (+ 1/2 (* -1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (+ 1/2 (* -1 y)))))>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ (log 2) y)) x))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ (log 2) y)) x))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ (log 2) y)) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (+ (log 2) (* 1/2 x)) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (+ (log 2) (* 1/2 x)) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (+ (log 2) (* 1/2 x)) y)) (* -1 x))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (log 2) x)))>
#<alt (* x (+ 1/2 (/ (log 2) x)))>
#<alt (* x (+ 1/2 (/ (log 2) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (/ -1 (pow y 3))>
#<alt (/ -1 (pow y 3))>
#<alt (/ -1 (pow y 3))>
#<alt (/ -1 (pow y 3))>
#<alt (/ -1 (pow y 3))>
#<alt (/ -1 (pow y 3))>
#<alt (/ -1 (pow y 3))>
#<alt (/ -1 (pow y 3))>
#<alt (/ -1 (pow y 3))>
#<alt (/ -1 (pow y 3))>
#<alt (/ -1 (pow y 3))>
#<alt (/ -1 (pow y 3))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<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)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
Calls

66 calls:

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

rewrite297.0ms (3.5%)

Memory
1.5MiB live, 615.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 922×accelerator-lowering-fma.f32
5 922×accelerator-lowering-fma.f64
3 294×*-lowering-*.f32
3 294×*-lowering-*.f64
2 790×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03184
116969
2150763
0863061
Stop Event
iter limit
node limit
Counts
18 → 1 634
Calls
Call 1
Inputs
(- (+ (* 1/2 x) (log 2)) (* x y))
(+ (* 1/2 x) (log 2))
(log 2)
(* x y)
(* x 1/2)
(/ 1 (/ -1 y))
(* x (/ 1 (/ -1 y)))
(/ -1 y)
(/ 1 (* (/ -1 (* y (* y y))) (* y y)))
(* (/ -1 (* y (* y y))) (* y y))
(* x (/ 1 (* (/ -1 (* y (* y y))) (* y y))))
(/ -1 (* y (* y y)))
(/ (* y (* (* y (* y (* y y))) y)) (neg (* y (* y (* y y)))))
(* (/ (* y (* (* y (* y (* y y))) y)) (neg (* y (* y (* y y))))) (/ 1 (+ 0 y)))
(+ 0 y)
(* x (* (/ (* y (* (* y (* y (* y y))) y)) (neg (* y (* y (* y y))))) (/ 1 (+ 0 y))))
(* y (* y y))
(* y (* y (* y y)))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 x y)))
(+.f64 (neg.f64 (*.f64 x y)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 (*.f64 x y) (fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 (*.f64 x y) (fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 x #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 x (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 y (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x (*.f64 y y))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) x (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (*.f64 x y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (log.f64 #s(literal 2 binary64))))))) (neg.f64 (*.f64 x y)))
(fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 (*.f64 x y) (fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 1/2 binary64)))) (neg.f64 (*.f64 x y)))
(fma.f64 (*.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (neg.f64 x) y (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (neg.f64 (*.f64 x y)))
(fma.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 (log.f64 #s(literal 1/2 binary64))))) (neg.f64 (*.f64 x y)))
(fma.f64 (/.f64 x (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 x (neg.f64 (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))) (neg.f64 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 x y) (*.f64 y (neg.f64 y)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (neg.f64 x) (*.f64 y (neg.f64 y))) (/.f64 #s(literal -1 binary64) y) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) x) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) x) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 x (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
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(fma.f64 (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) #s(literal 0 binary64)))
(neg.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) y)
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 y))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (neg.f64 y))) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (neg.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 0 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal 0 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 3 binary64))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 0 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 (*.f64 y (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64))
(*.f64 y (*.f64 y (*.f64 y y)))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (*.f64 y y) (*.f64 y y))
(*.f64 (*.f64 y (*.f64 y y)) y)
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1 binary64))
(*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1 binary64))
(*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 y) (neg.f64 (*.f64 y (*.f64 y y))))
(*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (neg.f64 y))
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 y)))
(*.f64 (pow.f64 (*.f64 y (*.f64 y y)) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 4 binary64)))

simplify298.0ms (3.5%)

Memory
-6.9MiB live, 317.0MiB allocated
Algorithm
egg-herbie
Rules
5 560×accelerator-lowering-fma.f32
5 560×accelerator-lowering-fma.f64
2 850×*-lowering-*.f32
2 850×*-lowering-*.f64
1 394×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050964
1133964
2296964
3947964
42603964
54414964
65627964
76641964
87080964
97251964
107369964
117464964
127967964
08159936
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (+ 1/2 (* -1 y)))
(* -1 (* x (- (* -1 (/ (log 2) x)) (+ 1/2 (* -1 y)))))
(* -1 (* x (- (* -1 (/ (log 2) x)) (+ 1/2 (* -1 y)))))
(* -1 (* x (- (* -1 (/ (log 2) x)) (+ 1/2 (* -1 y)))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* -1 (* x y))
(* y (- (+ (* 1/2 (/ x y)) (/ (log 2) y)) x))
(* y (- (+ (* 1/2 (/ x y)) (/ (log 2) y)) x))
(* y (- (+ (* 1/2 (/ x y)) (/ (log 2) y)) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (+ (log 2) (* 1/2 x)) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (+ (log 2) (* 1/2 x)) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (+ (log 2) (* 1/2 x)) y)) (* -1 x))))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ (log 2) x)))
(* x (+ 1/2 (/ (log 2) x)))
(* x (+ 1/2 (/ (log 2) x)))
(* 1/2 x)
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(/ -1 (pow y 3))
(/ -1 (pow y 3))
(/ -1 (pow y 3))
(/ -1 (pow y 3))
(/ -1 (pow y 3))
(/ -1 (pow y 3))
(/ -1 (pow y 3))
(/ -1 (pow y 3))
(/ -1 (pow y 3))
(/ -1 (pow y 3))
(/ -1 (pow y 3))
(/ -1 (pow y 3))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
y
y
y
y
y
y
y
y
y
y
y
y
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(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)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* x (+ 1/2 (* -1 y)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (* -1 (/ (log 2) x)) (+ 1/2 (* -1 y)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x (- (* -1 (/ (log 2) x)) (+ 1/2 (* -1 y)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x (- (* -1 (/ (log 2) x)) (+ 1/2 (* -1 y)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (- (+ (* 1/2 (/ x y)) (/ (log 2) y)) x))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ (log 2) y)) x))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ (log 2) y)) x))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (- (* -1 (/ (+ (log 2) (* 1/2 x)) y)) (* -1 x))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* y (- (* -1 (/ (+ (log 2) (* 1/2 x)) y)) (* -1 x))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* y (- (* -1 (/ (+ (log 2) (* 1/2 x)) y)) (* -1 x))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ (log 2) x)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(* x (+ 1/2 (/ (log 2) x)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(* x (+ 1/2 (/ (log 2) x)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(/ -1 (pow y 3))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))
(/ -1 (pow y 3))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))
(/ -1 (pow y 3))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))
(/ -1 (pow y 3))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))
(/ -1 (pow y 3))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))
(/ -1 (pow y 3))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))
(/ -1 (pow y 3))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))
(/ -1 (pow y 3))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))
(/ -1 (pow y 3))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))
(/ -1 (pow y 3))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))
(/ -1 (pow y 3))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))
(/ -1 (pow y 3))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
y
y
y
y
y
y
y
y
y
y
y
y
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (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))
(pow y 4)
(*.f64 (*.f64 y y) (*.f64 y y))
(pow y 4)
(*.f64 (*.f64 y y) (*.f64 y y))
(pow y 4)
(*.f64 (*.f64 y y) (*.f64 y y))
(pow y 4)
(*.f64 (*.f64 y y) (*.f64 y y))
(pow y 4)
(*.f64 (*.f64 y y) (*.f64 y y))
(pow y 4)
(*.f64 (*.f64 y y) (*.f64 y y))
(pow y 4)
(*.f64 (*.f64 y y) (*.f64 y y))
(pow y 4)
(*.f64 (*.f64 y y) (*.f64 y y))
(pow y 4)
(*.f64 (*.f64 y y) (*.f64 y y))
(pow y 4)
(*.f64 (*.f64 y y) (*.f64 y y))
(pow y 4)
(*.f64 (*.f64 y y) (*.f64 y y))
(pow y 4)
(*.f64 (*.f64 y y) (*.f64 y y))

eval337.0ms (4%)

Memory
-1.6MiB live, 292.9MiB allocated
Compiler

Compiled 47 453 to 4 562 computations (90.4% saved)

prune365.0ms (4.3%)

Memory
-32.2MiB live, 330.6MiB allocated
Pruning

46 alts after pruning (38 fresh and 8 done)

PrunedKeptTotal
New2 13392 142
Fresh32932
Picked145
Done044
Total2 137462 183
Accuracy
100.0%
Counts
2 183 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
88.6%
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
56.7%
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
54.2%
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
52.1%
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
27.4%
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
27.5%
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 0 binary64)) (-.f64 (neg.f64 (*.f64 x y)) #s(literal 0 binary64)))
8.0%
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 x x))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 x))))
15.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
5.4%
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) x) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
20.5%
(/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
32.1%
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (*.f64 x y))
27.4%
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) y)
49.4%
(/.f64 x (/.f64 #s(literal -1 binary64) y))
49.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y))))
79.9%
(-.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) (*.f64 x y))
73.0%
(+.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64)))
12.7%
(*.f64 (/.f64 x (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 y y)))
27.5%
(*.f64 (/.f64 x y) (*.f64 y (neg.f64 y)))
27.4%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y (neg.f64 y))))
27.4%
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
5.1%
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
14.7%
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
14.8%
(*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y)))
29.6%
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
14.8%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y)))))))
10.0%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))))))
14.8%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 y (*.f64 y y)))))
49.5%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
15.0%
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y) (*.f64 y y))))
14.8%
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))))
29.5%
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)))
30.1%
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
16.7%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 y x)))))
5.8%
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) y))))
29.5%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
14.8%
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
29.6%
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
10.4%
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
8.1%
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y (*.f64 y (neg.f64 y)))))))
6.5%
(*.f64 x (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))
5.3%
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
49.5%
(*.f64 x (neg.f64 y))
3.3%
(*.f64 x #s(literal 1/2 binary64))
52.6%
(log1p.f64 (exp.f64 x))
51.8%
(log.f64 #s(literal 2 binary64))
Compiler

Compiled 1 515 to 607 computations (59.9% saved)

regimes76.0ms (0.9%)

Memory
-13.2MiB live, 25.7MiB allocated
Counts
62 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (/.f64 x y) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) y)
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 y x)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 y y)))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (*.f64 x y))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 0 binary64)) (-.f64 (neg.f64 (*.f64 x y)) #s(literal 0 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) x) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 x x))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 x))))
(*.f64 x (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y (*.f64 y (neg.f64 y)))))))
(log.f64 #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64)))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Calls

3 calls:

17.0ms
y
17.0ms
x
16.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes86.0ms (1%)

Memory
11.3MiB live, 49.1MiB allocated
Counts
61 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (/.f64 x y) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) y)
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 y x)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 y y)))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (*.f64 x y))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 0 binary64)) (-.f64 (neg.f64 (*.f64 x y)) #s(literal 0 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) x) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 x x))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 x))))
(*.f64 x (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y (*.f64 y (neg.f64 y)))))))
(log.f64 #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64)))
(log1p.f64 (exp.f64 x))
Outputs
(*.f64 x (neg.f64 y))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
Calls

3 calls:

52.0ms
x
16.0ms
y
15.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.7%2x
88.6%1y
98.0%2(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes19.0ms (0.2%)

Memory
21.8MiB live, 21.8MiB allocated
Counts
58 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (/.f64 x y) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) y)
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 y x)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 y y)))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (*.f64 x y))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 0 binary64)) (-.f64 (neg.f64 (*.f64 x y)) #s(literal 0 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) x) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 x x))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 x))))
(*.f64 x (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y (*.f64 y (neg.f64 y)))))))
(log.f64 #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
Outputs
(*.f64 x (neg.f64 y))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
Calls

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes34.0ms (0.4%)

Memory
-20.5MiB live, 19.4MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (/.f64 x y) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) y)
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 y x)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 y y)))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (*.f64 x y))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 0 binary64)) (-.f64 (neg.f64 (*.f64 x y)) #s(literal 0 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) x) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 x x))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 x))))
(*.f64 x (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y (*.f64 y (neg.f64 y)))))))
(log.f64 #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) (*.f64 x y))
Outputs
(*.f64 x (neg.f64 y))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
Calls

1 calls:

31.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
51 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (/.f64 x y) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) y)
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 y x)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 y y)))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (*.f64 x y))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 0 binary64)) (-.f64 (neg.f64 (*.f64 x y)) #s(literal 0 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) x) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 x x))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 x))))
(*.f64 x (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y (*.f64 y (neg.f64 y)))))))
(log.f64 #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
Outputs
(*.f64 x (neg.f64 y))
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
98.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes40.0ms (0.5%)

Memory
-12.5MiB live, 24.6MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (/.f64 x y) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) y)
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 y x)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 y y)))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (*.f64 x y))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 0 binary64)) (-.f64 (neg.f64 (*.f64 x y)) #s(literal 0 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) x) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 x x))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 x))))
(*.f64 x (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y (*.f64 y (neg.f64 y)))))))
(log.f64 #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
Outputs
(*.f64 x (neg.f64 y))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
Calls

1 calls:

38.0ms
x
Results
AccuracySegmentsBranch
98.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes53.0ms (0.6%)

Memory
2.0MiB live, 41.3MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (/.f64 x y) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) y)
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 y x)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 y y)))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (*.f64 x y))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 0 binary64)) (-.f64 (neg.f64 (*.f64 x y)) #s(literal 0 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) x) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 x x))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 x))))
(*.f64 x (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y (*.f64 y (neg.f64 y)))))))
(log.f64 #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
Outputs
(*.f64 x (neg.f64 y))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 x (neg.f64 y))
Calls

2 calls:

37.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
13.0ms
x
Results
AccuracySegmentsBranch
98.1%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
85.4%2x
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes14.0ms (0.2%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (/.f64 x y) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) y)
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 y x)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 y y)))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (*.f64 x y))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 0 binary64)) (-.f64 (neg.f64 (*.f64 x y)) #s(literal 0 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) x) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 x x))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 x))))
(*.f64 x (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y (*.f64 y (neg.f64 y)))))))
(log.f64 #s(literal 2 binary64))
Outputs
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))
(*.f64 x (neg.f64 y))
Calls

1 calls:

12.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
97.5%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes52.0ms (0.6%)

Memory
-11.4MiB live, 69.2MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (/.f64 x y) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) y)
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 y x)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 y y)))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (*.f64 x y))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 0 binary64)) (-.f64 (neg.f64 (*.f64 x y)) #s(literal 0 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) x) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 x x))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 x))))
(*.f64 x (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(*.f64 x (*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y (*.f64 y (neg.f64 y)))))))
Outputs
(*.f64 x (neg.f64 y))
Calls

3 calls:

21.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
15.0ms
y
13.0ms
x
Results
AccuracySegmentsBranch
49.5%1x
49.5%1y
49.5%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes4.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
Outputs
(*.f64 x #s(literal 1/2 binary64))
Calls

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
3.3%1x
3.3%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
3.3%1y
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch27.0ms (0.3%)

Memory
-10.2MiB live, 29.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
-5944350065028784000.0
-32246.435155303494
Samples
20.0ms160×0valid
Compiler

Compiled 264 to 191 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (39.9% of total)
ival-sub: 1.0ms (19.9% of total)
ival-log1p: 1.0ms (19.9% of total)
ival-mult: 1.0ms (19.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch48.0ms (0.6%)

Memory
-6.1MiB live, 32.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
46.0ms
-5944350065028784000.0
-32246.435155303494
Samples
8.0ms160×0valid
Compiler

Compiled 214 to 161 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (42.7% of total)
ival-sub: 1.0ms (21.3% of total)
ival-log1p: 1.0ms (21.3% of total)
ival-mult: 1.0ms (21.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.4%)

Memory
3.7MiB live, 42.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
-5944350065028784000.0
-32246.435155303494
Samples
8.0ms160×0valid
Compiler

Compiled 184 to 141 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (42.8% of total)
ival-sub: 1.0ms (21.4% of total)
ival-log1p: 1.0ms (21.4% of total)
ival-mult: 1.0ms (21.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Memory
-4.5MiB live, 36.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-5944350065028784000.0
-32246.435155303494
Samples
10.0ms160×0valid
Compiler

Compiled 174 to 131 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (43.9% of total)
ival-sub: 1.0ms (22% of total)
ival-log1p: 1.0ms (22% of total)
ival-mult: 1.0ms (22% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
25.1MiB live, 25.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-5944350065028784000.0
-32246.435155303494
Samples
8.0ms160×0valid
Compiler

Compiled 174 to 131 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (43.6% of total)
ival-sub: 1.0ms (21.8% of total)
ival-log1p: 1.0ms (21.8% of total)
ival-mult: 1.0ms (21.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.900586757503716
2239336.083702233
0.0ms
3.6047805817413467e-13
0.6566093813563525
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.900586757503716
2239336.083702233
0.0ms
3.6047805817413467e-13
0.6566093813563525
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify11.0ms (0.1%)

Memory
-12.3MiB live, 26.5MiB allocated
Algorithm
egg-herbie
Rules
16×+-commutative_binary64
14×sub-neg_binary64
12×*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042165
167165
278165
383165
485165
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -33000 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -33000 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -33000 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -33000 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -33000 binary64)) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 x (neg.f64 y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))
(*.f64 x (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -33000 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -33000 binary64)) (neg.f64 (*.f64 x y)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -33000 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -33000 binary64)) (neg.f64 (*.f64 x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -33000 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -33000 binary64)) (neg.f64 (*.f64 x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -33000 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -33000 binary64)) (neg.f64 (*.f64 x y)) (fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -33000 binary64)) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))
(if (<=.f64 x #s(literal -33000 binary64)) (neg.f64 (*.f64 x y)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 x (neg.f64 y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (neg.f64 (*.f64 x y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 x y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (neg.f64 (*.f64 x y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) (log.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 x y))))
(*.f64 x (neg.f64 y))
(neg.f64 (*.f64 x y))
(*.f64 x #s(literal 1/2 binary64))

soundness1.1s (13.3%)

Memory
2.6MiB live, 723.1MiB allocated
Rules
11 474×accelerator-lowering-fma.f32
11 474×accelerator-lowering-fma.f64
8 976×accelerator-lowering-fma.f32
8 976×accelerator-lowering-fma.f64
6 440×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01832040
15451997
216251969
361561952
080931828
067400
1180400
2389400
31353400
44014370
56856370
08132300
075826
1226808
2557804
31202804
42936804
54935804
66846804
08046780
02693
116993
2148393
0832182
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 324 to 153 computations (52.8% saved)

preprocess94.0ms (1.1%)

Memory
-2.4MiB live, 240.6MiB allocated
Compiler

Compiled 424 to 136 computations (67.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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