Logistic regression 2

Time bar (total: 9.6s)

analyze105.0ms (1.1%)

Memory
-38.2MiB live, 133.8MiB 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)

sample1.0s (10.7%)

Memory
53.2MiB live, 1 731.2MiB allocated
Samples
465.0ms8 256×0valid
236.0ms2 647×1exit
Precisions
Click to see histograms. Total time spent on operations: 393.0ms
ival-log1p: 127.0ms (32.3% of total)
ival-exp: 93.0ms (23.7% of total)
ival-mult: 78.0ms (19.9% of total)
ival-sub: 52.0ms (13.2% of total)
adjust: 32.0ms (8.1% of total)
ival-true: 8.0ms (2% of total)
ival-assert: 4.0ms (1% of total)
Bogosity

preprocess30.0ms (0.3%)

Memory
21.1MiB live, 21.1MiB 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))

explain278.0ms (2.9%)

Memory
-42.9MiB live, 129.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
184(-1.180027025275571e+123 2.4453047638186754e+88)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
33.0ms512×0valid
Compiler

Compiled 78 to 36 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log1p: 5.0ms (26.8% of total)
ival-exp: 4.0ms (21.5% of total)
ival-mult: 4.0ms (21.5% of total)
ival-add: 3.0ms (16.1% of total)
ival-sub: 2.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB 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)

simplify13.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB 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-diff128
(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

localize27.0ms (0.3%)

Memory
-3.3MiB live, 35.5MiB 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
17.0ms256×0valid
Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 2.0ms (20.9% of total)
ival-log1p: 2.0ms (20.9% of total)
ival-mult: 2.0ms (20.9% of total)
ival-sub: 1.0ms (10.5% of total)
ival-add: 1.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series58.0ms (0.6%)

Memory
-12.6MiB live, 65.0MiB 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
29.0ms
x
@inf
(log (+ 1 (exp x)))
20.0ms
x
@-inf
(log (+ 1 (exp x)))
7.0ms
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))

rewrite379.0ms (4%)

Memory
12.9MiB live, 498.3MiB 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)))) (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (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) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(+.f64 (log.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) (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))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log1p.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 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) (-.f64 #s(literal 0 binary64) (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 #s(literal 2 binary64))))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (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 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (log.f64 (expm1.f64 x)))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 9 binary64)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))) (+.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 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))) (-.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 #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal 4 binary64))))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (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 #s(literal 2 binary64)))))))
(-.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 #s(literal 2 binary64)))))) (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))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))))
(-.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)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))))
(-.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 #s(literal 2 binary64))) (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 #s(literal 2 binary64)))) (-.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 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (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 #s(literal 2 binary64))) (-.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 #s(literal 2 binary64))) (-.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 #s(literal 2 binary64))) (-.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 #s(literal 2 binary64))) (-.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))))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 x)) (*.f64 (expm1.f64 x) #s(literal 1 binary64))) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.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 #s(literal 2 binary64)))))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.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 #s(literal 2 binary64)))) (-.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 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (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 #s(literal 2 binary64))) (-.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 #s(literal 2 binary64))) (-.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 #s(literal 2 binary64))) (-.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 #s(literal 2 binary64))) (-.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))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))) (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) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))) (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 #s(literal 2 binary64))) (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 #s(literal 2 binary64))))))
(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 #s(literal 2 binary64)))) #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) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (/.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) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.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 #s(literal 2 binary64)))))
(*.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 #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))) (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 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (+.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)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #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 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 x)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))) (+.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 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.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) (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 #s(literal 2 binary64))) (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 #s(literal 2 binary64))))))
(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))

simplify308.0ms (3.2%)

Memory
23.3MiB live, 371.6MiB 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))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x 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 (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y))))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 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))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 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)

eval55.0ms (0.6%)

Memory
11.0MiB live, 125.6MiB allocated
Compiler

Compiled 15 852 to 1 469 computations (90.7% saved)

prune67.0ms (0.7%)

Memory
-33.7MiB live, 131.2MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New40811419
Fresh000
Picked101
Done000
Total40911420
Accuracy
99.7%
Counts
420 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log1p.f64 (exp.f64 x)))
99.6%
(-.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (*.f64 x y))
66.4%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 x y))
88.3%
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
75.7%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
82.9%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
74.3%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y))))
89.0%
(*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
52.1%
(*.f64 x (-.f64 #s(literal 0 binary64) y))
48.9%
(log1p.f64 (exp.f64 x))
48.2%
(log.f64 #s(literal 2 binary64))
Compiler

Compiled 270 to 184 computations (31.9% saved)

simplify465.0ms (4.9%)

Memory
44.3MiB live, 430.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y))
cost-diff0
(*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y)))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y))))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff0
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 x y))
cost-diff128
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
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))
cost-diff0
(-.f64 #s(literal 0 binary64) y)
cost-diff0
(*.f64 x (-.f64 #s(literal 0 binary64) y))
cost-diff0
(exp.f64 x)
cost-diff0
(log1p.f64 (exp.f64 x))
cost-diff0
(-.f64 #s(literal 0 binary64) y)
cost-diff6400
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log1p.f64 (exp.f64 x)))
Rules
8 596×accelerator-lowering-fma.f32
8 596×accelerator-lowering-fma.f64
1 436×+-lowering-+.f64
1 436×*-lowering-*.f32
1 436×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030164
171158
2143157
3288157
4673157
51266157
62190157
73614157
84303157
94818157
104919157
114931157
124931157
134931157
144931157
155201157
165225157
175290157
185327157
195328157
205330157
05330143
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (- 0 y) x) (log (+ 1 (exp x))))
(- 0 y)
0
y
x
(log (+ 1 (exp x)))
(exp x)
(* x (- 0 y))
x
(- 0 y)
0
y
(- (log 2) (* x y))
(log 2)
2
(* x y)
x
y
(- (log (+ 1 (+ x 1))) (* x y))
(log (+ 1 (+ x 1)))
(+ 1 (+ x 1))
1
(+ x 1)
x
(* x y)
y
(+ (log 2) (* x (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y))))
(log 2)
2
(* x (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y)))
x
(+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y))
1/2
(- (* x (+ 1/8 (* -1/192 (* x x)))) y)
(* x (+ 1/8 (* -1/192 (* x x))))
(+ 1/8 (* -1/192 (* x x)))
1/8
(* -1/192 (* x x))
-1/192
(* x x)
y
Outputs
(+ (* (- 0 y) x) (log (+ 1 (exp x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(- 0 y)
(-.f64 #s(literal 0 binary64) y)
0
#s(literal 0 binary64)
y
x
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(exp x)
(exp.f64 x)
(* x (- 0 y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
x
(- 0 y)
(-.f64 #s(literal 0 binary64) y)
0
#s(literal 0 binary64)
y
(- (log 2) (* x y))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x))
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x y)
(*.f64 y x)
x
y
(- (log (+ 1 (+ x 1))) (* x y))
(-.f64 (log.f64 (+.f64 x #s(literal 2 binary64))) (*.f64 y x))
(log (+ 1 (+ x 1)))
(log.f64 (+.f64 x #s(literal 2 binary64)))
(+ 1 (+ x 1))
(+.f64 x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
(* x y)
(*.f64 y x)
y
(+ (log 2) (* x (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/192 binary64)))) (-.f64 #s(literal 1/2 binary64) y))))
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y)))
(*.f64 x (+.f64 (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/192 binary64)))) (-.f64 #s(literal 1/2 binary64) y)))
x
(+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y))
(+.f64 (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/192 binary64)))) (-.f64 #s(literal 1/2 binary64) y))
1/2
#s(literal 1/2 binary64)
(- (* x (+ 1/8 (* -1/192 (* x x)))) y)
(-.f64 (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/192 binary64)))) y)
(* x (+ 1/8 (* -1/192 (* x x))))
(*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/192 binary64))))
(+ 1/8 (* -1/192 (* x x)))
(-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/192 binary64)))
1/8
#s(literal 1/8 binary64)
(* -1/192 (* x x))
(*.f64 x (*.f64 x #s(literal -1/192 binary64)))
-1/192
#s(literal -1/192 binary64)
(* x x)
(*.f64 x x)
y

localize123.0ms (1.3%)

Memory
-33.2MiB live, 162.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y)))
accuracy100.0%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y))))
accuracy99.8%
(*.f64 #s(literal -1/192 binary64) (*.f64 x x))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 x y))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy100.0%
(log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
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))
accuracy100.0%
(-.f64 #s(literal 0 binary64) y)
accuracy100.0%
(*.f64 x (-.f64 #s(literal 0 binary64) y))
accuracy100.0%
(-.f64 #s(literal 0 binary64) y)
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log1p.f64 (exp.f64 x)))
accuracy99.6%
(log1p.f64 (exp.f64 x))
Samples
44.0ms171×0valid
40.0ms84×0invalid
1.0ms3valid
Compiler

Compiled 165 to 31 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-log1p: 28.0ms (46.1% of total)
ival-mult: 12.0ms (19.8% of total)
ival-add: 7.0ms (11.5% of total)
ival-sub: 5.0ms (8.2% of total)
const: 4.0ms (6.6% of total)
ival-log: 3.0ms (4.9% of total)
ival-exp: 2.0ms (3.3% of total)
exact: 1.0ms (1.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
32.8MiB live, 32.8MiB allocated
Counts
17 → 288
Calls
Call 1
Inputs
#<alt (+ (* (- 0 y) x) (log (+ 1 (exp x))))>
#<alt (- 0 y)>
#<alt (log (+ 1 (exp x)))>
#<alt (exp x)>
#<alt (* x (- 0 y))>
#<alt (- (log 2) (* x y))>
#<alt (log 2)>
#<alt (* x y)>
#<alt (+ 1 (+ x 1))>
#<alt (- (log (+ 1 (+ x 1))) (* x y))>
#<alt (log (+ 1 (+ x 1)))>
#<alt (+ x 1)>
#<alt (+ (log 2) (* x (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y))))>
#<alt (* x (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y)))>
#<alt (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y))>
#<alt (* -1/192 (* x x))>
#<alt (* x (+ 1/8 (* -1/192 (* x x))))>
Outputs
#<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 (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))>
#<alt (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))>
#<alt (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (+ 1/2 (* -1 y))))>
#<alt (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))>
#<alt (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))>
#<alt (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))>
#<alt (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) 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 (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 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)>
#<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 (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 2>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 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 (- (* 1/24 x) 1/8))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (* -1 (/ (log (/ 1 x)) x)) y))>
#<alt (* x (- (+ (* -1 (/ (log (/ 1 x)) x)) (/ 2 (pow x 2))) y))>
#<alt (* x (- (+ (* -1 (/ (log (/ 1 x)) x)) (/ 2 (pow x 2))) (+ y (* 2 (/ 1 (pow x 3))))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 2 (/ 1 x)))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 2 (/ 1 x)) 2) x)))) x)) (* -1 y))))>
#<alt (log (+ 2 x))>
#<alt (+ (log (+ 2 x)) (* -1 (* x y)))>
#<alt (+ (log (+ 2 x)) (* -1 (* x y)))>
#<alt (+ (log (+ 2 x)) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 2 x)) y) x))>
#<alt (* y (- (/ (log (+ 2 x)) y) x))>
#<alt (* y (- (/ (log (+ 2 x)) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 2 x)) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 2 x)) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 2 x)) y)) (* -1 x))))>
#<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 (- (* 1/24 x) 1/8)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 8/3 (/ 1 (pow x 3))))) (/ 2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 2 (/ 1 x)) 2) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 x)) 2) x)) 2) x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 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 (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))>
#<alt (* 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)))) (+ 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) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (* 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 (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* -1/192 (pow x 2))))>
#<alt (* x (+ 1/8 (* -1/192 (pow x 2))))>
#<alt (* x (+ 1/8 (* -1/192 (pow x 2))))>
#<alt (* -1/192 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<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 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))>
Calls

72 calls:

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

rewrite458.0ms (4.8%)

Memory
-13.2MiB live, 543.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 616×accelerator-lowering-fma.f32
4 616×accelerator-lowering-fma.f64
4 098×*-lowering-*.f32
4 098×*-lowering-*.f64
3 742×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030118
1197112
21793112
0876799
Stop Event
iter limit
node limit
Counts
17 → 411
Calls
Call 1
Inputs
(+ (* (- 0 y) x) (log (+ 1 (exp x))))
(- 0 y)
(log (+ 1 (exp x)))
(exp x)
(* x (- 0 y))
(- (log 2) (* x y))
(log 2)
(* x y)
(+ 1 (+ x 1))
(- (log (+ 1 (+ x 1))) (* x y))
(log (+ 1 (+ x 1)))
(+ x 1)
(+ (log 2) (* x (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y))))
(* x (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y)))
(+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y))
(* -1/192 (* x x))
(* x (+ 1/8 (* -1/192 (* x x))))
Outputs
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(-.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) y) x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) y) x))))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (log1p.f64 (exp.f64 x)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log1p.f64 (exp.f64 x)))
(fma.f64 x (-.f64 #s(literal 0 binary64) y) (log1p.f64 (exp.f64 x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (log1p.f64 (exp.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log1p.f64 (exp.f64 x)))
(fma.f64 (/.f64 x y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) y) (log1p.f64 (exp.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) y) (/.f64 x y) (log1p.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) y) x)))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))) (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) y) x)))))
(/.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) y) x))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) y) x)))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))) (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) y) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) y) x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 y (*.f64 x (*.f64 y x))))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) y) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))))) (+.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))))) (*.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))))))))
(pow.f64 (/.f64 (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) y) x)))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))) (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) y) x))))))
(*.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (/.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
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(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/192 binary64))))) y) (*.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/192 binary64))))) y) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/192 binary64))))) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/192 binary64))))) y) (-.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/192 binary64))))) y) #s(literal 1/2 binary64))))))
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(*.f64 x (*.f64 x #s(literal -1/192 binary64)))
(*.f64 #s(literal -1/192 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -1/192 binary64))
(*.f64 (*.f64 x #s(literal -1/192 binary64)) x)
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/192 binary64)))) (*.f64 x #s(literal 1/8 binary64)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/192 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 x #s(literal 1/8 binary64))) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/192 binary64)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/192 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/192 binary64))))) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/192 binary64)))))))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/192 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/192 binary64))) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/192 binary64)))))
(fma.f64 #s(literal -1/192 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/192 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/192 binary64))) x (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/192 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (*.f64 x #s(literal -1/192 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/8 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal -1/7077888 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 x #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/192 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/192 binary64))))) (*.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/192 binary64))))))))
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(/.f64 (*.f64 x (+.f64 #s(literal 1/512 binary64) (*.f64 #s(literal -1/7077888 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.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 x (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36864 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/192 binary64) (*.f64 x x))))
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(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36864 binary64))) x) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/192 binary64) (*.f64 x x))))
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(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/192 binary64)))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/192 binary64)))) x)

simplify527.0ms (5.5%)

Memory
6.1MiB live, 535.9MiB allocated
Algorithm
egg-herbie
Rules
6 920×accelerator-lowering-fma.f32
6 920×accelerator-lowering-fma.f64
3 374×*-lowering-*.f32
3 374×*-lowering-*.f64
3 364×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02502399
17552322
220462274
365592271
081642105
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(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 (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(log 2)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) 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)
(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)))
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)
(* -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))
(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)
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 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 (- (* 1/24 x) 1/8))) y)))
(* -1 (* x y))
(* x (- (* -1 (/ (log (/ 1 x)) x)) y))
(* x (- (+ (* -1 (/ (log (/ 1 x)) x)) (/ 2 (pow x 2))) y))
(* x (- (+ (* -1 (/ (log (/ 1 x)) x)) (/ 2 (pow x 2))) (+ y (* 2 (/ 1 (pow x 3))))))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 2 (/ 1 x)))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 2 (/ 1 x)) 2) x)))) x)) (* -1 y))))
(log (+ 2 x))
(+ (log (+ 2 x)) (* -1 (* x y)))
(+ (log (+ 2 x)) (* -1 (* x y)))
(+ (log (+ 2 x)) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log (+ 2 x)) y) x))
(* y (- (/ (log (+ 2 x)) y) x))
(* y (- (/ (log (+ 2 x)) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 2 x)) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 2 x)) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 2 x)) y)) (* -1 x))))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* -1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (- (* 1/24 x) 1/8)))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x)))
(- (+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 8/3 (/ 1 (pow x 3))))) (/ 2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* 2 (/ 1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 2 (/ 1 x)) 2) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 x)) 2) x)) 2) x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 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)))))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))
(* 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)))) (+ 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) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))
(* -1 (* y (+ x (* -1 (/ (* 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)))))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* 1/8 x)
(* x (+ 1/8 (* -1/192 (pow x 2))))
(* x (+ 1/8 (* -1/192 (pow x 2))))
(* x (+ 1/8 (* -1/192 (pow x 2))))
(* -1/192 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* -1/192 (pow x 3))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
Outputs
(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 y (-.f64 #s(literal 0 binary64) x))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y))))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(-.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64)) (*.f64 x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(-.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64)) (*.f64 x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(-.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64)) (*.f64 x y))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(-.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64)) (*.f64 x y))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(-.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64)) (*.f64 x y))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(-.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64)) (*.f64 x y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x 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 (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 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)
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* x (- (/ (log 2) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* x (- (/ (log 2) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* x (- (/ (log 2) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
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(* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))))) y))))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))))) y))))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))))) y))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))))) y))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))))) y))))
(- 1/2 y)
(-.f64 #s(literal 1/2 binary64) y)
(- (+ 1/2 (* 1/8 x)) y)
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y))
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y))
(* -1/192 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(*.f64 x (*.f64 (*.f64 x 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 x (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x))) #s(literal -1/192 binary64)))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x))) #s(literal -1/192 binary64)))))
(* -1/192 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(*.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 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(*.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)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))) (/.f64 x y)))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))) (/.f64 x y)))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))) (/.f64 x y)))))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))))) y)))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))))) y)))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))))) y)))
(* -1/192 (pow x 2))
(*.f64 #s(literal -1/192 binary64) (*.f64 x x))
(* -1/192 (pow x 2))
(*.f64 #s(literal -1/192 binary64) (*.f64 x x))
(* -1/192 (pow x 2))
(*.f64 #s(literal -1/192 binary64) (*.f64 x x))
(* -1/192 (pow x 2))
(*.f64 #s(literal -1/192 binary64) (*.f64 x x))
(* -1/192 (pow x 2))
(*.f64 #s(literal -1/192 binary64) (*.f64 x x))
(* -1/192 (pow x 2))
(*.f64 #s(literal -1/192 binary64) (*.f64 x x))
(* -1/192 (pow x 2))
(*.f64 #s(literal -1/192 binary64) (*.f64 x x))
(* -1/192 (pow x 2))
(*.f64 #s(literal -1/192 binary64) (*.f64 x x))
(* -1/192 (pow x 2))
(*.f64 #s(literal -1/192 binary64) (*.f64 x x))
(* -1/192 (pow x 2))
(*.f64 #s(literal -1/192 binary64) (*.f64 x x))
(* -1/192 (pow x 2))
(*.f64 #s(literal -1/192 binary64) (*.f64 x x))
(* -1/192 (pow x 2))
(*.f64 #s(literal -1/192 binary64) (*.f64 x x))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (+ 1/8 (* -1/192 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))))
(* x (+ 1/8 (* -1/192 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))))
(* x (+ 1/8 (* -1/192 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))))
(* -1/192 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(* -1/192 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))

eval149.0ms (1.6%)

Memory
-19.9MiB live, 130.6MiB allocated
Compiler

Compiled 19 693 to 1 877 computations (90.5% saved)

prune139.0ms (1.5%)

Memory
-34.8MiB live, 159.7MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New75714771
Fresh246
Picked415
Done000
Total76319782
Accuracy
99.7%
Counts
782 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.6%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 #s(literal 0 binary64) (*.f64 y x)))))
13.4%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x) (*.f64 y y))
27.9%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) y)
99.6%
(-.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (*.f64 x y))
66.4%
(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
88.3%
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
75.7%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
82.9%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
53.5%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))))))
20.7%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) y) (/.f64 x y))
88.3%
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
6.7%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y))))
29.4%
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y))
29.3%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
14.4%
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
29.3%
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
52.1%
(*.f64 x (neg.f64 y))
47.6%
(log.f64 (+.f64 x #s(literal 2 binary64)))
48.2%
(log.f64 #s(literal 2 binary64))
Compiler

Compiled 506 to 316 computations (37.5% saved)

simplify205.0ms (2.1%)

Memory
33.0MiB live, 188.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(/.f64 (log.f64 #s(literal 2 binary64)) y)
cost-diff0
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
cost-diff128
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
cost-diff0
(-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))))
cost-diff0
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y))))
cost-diff256
(*.f64 #s(literal 0 binary64) (*.f64 y y))
cost-diff1024
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y)))
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 y y))
cost-diff0
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))
cost-diff256
(/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)))
cost-diff-64
(neg.f64 y)
cost-diff0
(*.f64 x (neg.f64 y))
cost-diff0
(exp.f64 (*.f64 x #s(literal 3 binary64)))
cost-diff0
(log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))
cost-diff0
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
cost-diff0
(-.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (*.f64 x y))
Rules
3 522×*-lowering-*.f32
3 522×*-lowering-*.f64
3 350×accelerator-lowering-fma.f32
3 350×accelerator-lowering-fma.f64
1 614×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036174
197167
2252161
31132160
42608158
54954158
08235135
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (- (log (+ 1 (exp (* x 3)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y))
(- (log (+ 1 (exp (* x 3)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(log (+ 1 (exp (* x 3))))
(exp (* x 3))
(* x 3)
x
3
(log (+ 1 (* (exp x) (- (exp x) 1))))
(* (exp x) (- (exp x) 1))
(exp x)
(- (exp x) 1)
(* x y)
y
(* x (neg y))
x
(neg y)
y
(* x (/ 1 (/ y (- 0 (* y y)))))
x
(/ 1 (/ y (- 0 (* y y))))
1
(/ y (- 0 (* y y)))
y
(- 0 (* y y))
0
(* y y)
(* x (/ (- (* 0 (* y y)) (* (* y y) (* y (* y y)))) (* (* y y) (* y y))))
x
(/ (- (* 0 (* y y)) (* (* y y) (* y (* y y)))) (* (* y y) (* y y)))
(- (* 0 (* y y)) (* (* y y) (* y (* y y))))
(* 0 (* y y))
0
(* y y)
y
(* (* y y) (* y (* y y)))
(* y (* y y))
(* (* y y) (* y y))
(* y (- (/ (log 2) y) x))
y
(- (/ (log 2) y) x)
(/ (log 2) y)
(log 2)
2
x
Outputs
(- (- (log (+ 1 (exp (* x 3)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y))
(-.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 x y)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(- (log (+ 1 (exp (* x 3)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(log (+ 1 (exp (* x 3))))
(log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))
(exp (* x 3))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(log (+ 1 (* (exp x) (- (exp x) 1))))
(log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))
(* (exp x) (- (exp x) 1))
(*.f64 (exp.f64 x) (expm1.f64 x))
(exp x)
(exp.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(* x y)
(*.f64 x y)
y
(* x (neg y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
x
(neg y)
(-.f64 #s(literal 0 binary64) y)
y
(* x (/ 1 (/ y (- 0 (* y y)))))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
x
(/ 1 (/ y (- 0 (* y y))))
(-.f64 #s(literal 0 binary64) y)
1
#s(literal 1 binary64)
(/ y (- 0 (* y y)))
(/.f64 #s(literal -1 binary64) y)
y
(- 0 (* y y))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
0
#s(literal 0 binary64)
(* y y)
(*.f64 y y)
(* x (/ (- (* 0 (* y y)) (* (* y y) (* y (* y y)))) (* (* y y) (* y y))))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
x
(/ (- (* 0 (* y y)) (* (* y y) (* y (* y y)))) (* (* y y) (* y y)))
(-.f64 #s(literal 0 binary64) y)
(- (* 0 (* y y)) (* (* y y) (* y (* y y))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))))
(* 0 (* y y))
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* y y)
(*.f64 y y)
y
(* (* y y) (* y (* y y)))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))
(* y (* y y))
(*.f64 y (*.f64 y y))
(* (* y y) (* y y))
(*.f64 y (*.f64 y (*.f64 y y)))
(* y (- (/ (log 2) y) x))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
y
(- (/ (log 2) y) x)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
(/ (log 2) y)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
x

localize123.0ms (1.3%)

Memory
-15.6MiB live, 103.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
accuracy99.8%
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
accuracy99.7%
(/.f64 (log.f64 #s(literal 2 binary64)) y)
accuracy99.9%
(*.f64 y (*.f64 y y))
accuracy99.8%
(*.f64 (*.f64 y y) (*.f64 y y))
accuracy76.2%
(*.f64 #s(literal 0 binary64) (*.f64 y y))
accuracy18.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y)))
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))
accuracy54.3%
(/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)))
accuracy100.0%
(*.f64 x (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
accuracy100.0%
(-.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (*.f64 x y))
accuracy99.6%
(log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))
accuracy99.6%
(log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))
Samples
68.0ms256×0valid
Compiler

Compiled 228 to 36 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 16.0ms (38.3% of total)
ival-div: 6.0ms (14.4% of total)
ival-sub: 5.0ms (12% of total)
ival-exp: 4.0ms (9.6% of total)
ival-log1p: 4.0ms (9.6% of total)
ival-log: 3.0ms (7.2% of total)
ival-expm1: 2.0ms (4.8% of total)
ival-neg: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series281.0ms (2.9%)

Memory
6.9MiB live, 231.9MiB allocated
Counts
22 → 324
Calls
Call 1
Inputs
#<alt (- (- (log (+ 1 (exp (* x 3)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y))>
#<alt (- (log (+ 1 (exp (* x 3)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))>
#<alt (log (+ 1 (exp (* x 3))))>
#<alt (exp (* x 3))>
#<alt (* x (neg y))>
#<alt (neg y)>
#<alt (/ y (- 0 (* y y)))>
#<alt (/ 1 (/ y (- 0 (* y y))))>
#<alt (* x (/ 1 (/ y (- 0 (* y y)))))>
#<alt (- 0 (* y y))>
#<alt (/ (- (* 0 (* y y)) (* (* y y) (* y (* y y)))) (* (* y y) (* y y)))>
#<alt (* 0 (* y y))>
#<alt (* x (/ (- (* 0 (* y y)) (* (* y y) (* y (* y y)))) (* (* y y) (* y y))))>
#<alt (- (* 0 (* y y)) (* (* y y) (* y (* y y))))>
#<alt (* y (- (/ (log 2) y) x))>
#<alt (- (/ (log 2) y) x)>
#<alt (/ (log 2) y)>
#<alt (log 2)>
#<alt (log (+ 1 (* (exp x) (- (exp x) 1))))>
#<alt (* y y)>
#<alt (* (* y y) (* y y))>
#<alt (* y (* y y))>
Outputs
#<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 (* 3 x)))) x) (+ y (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) x))))>
#<alt (* x (- (/ (log (+ 1 (exp (* 3 x)))) x) (+ y (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) x))))>
#<alt (* x (- (/ (log (+ 1 (exp (* 3 x)))) x) (+ y (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) x))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))>
#<alt (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))>
#<alt (- (+ (log (+ 1 (exp (* 3 x)))) (* -1 (* x y))) (log (+ 1 (* (exp x) (- (exp x) 1)))))>
#<alt (- (+ (log (+ 1 (exp (* 3 x)))) (* -1 (* x y))) (log (+ 1 (* (exp x) (- (exp x) 1)))))>
#<alt (- (+ (log (+ 1 (exp (* 3 x)))) (* -1 (* x y))) (log (+ 1 (* (exp x) (- (exp x) 1)))))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp (* 3 x)))) y) (+ x (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) y))))>
#<alt (* y (- (/ (log (+ 1 (exp (* 3 x)))) y) (+ x (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) y))))>
#<alt (* y (- (/ (log (+ 1 (exp (* 3 x)))) y) (+ x (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) y)) (* -1 x))))>
#<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 (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))>
#<alt (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))>
#<alt (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))>
#<alt (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))>
#<alt (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))>
#<alt (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))>
#<alt (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))>
#<alt (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 3/2 x))>
#<alt (+ (log 2) (* x (+ 3/2 (* 9/8 x))))>
#<alt (+ (log 2) (* x (+ 3/2 (* x (+ 9/8 (* -27/64 (pow x 2)))))))>
#<alt (log (+ 1 (exp (* 3 x))))>
#<alt (log (+ 1 (exp (* 3 x))))>
#<alt (log (+ 1 (exp (* 3 x))))>
#<alt (log (+ 1 (exp (* 3 x))))>
#<alt (log (+ 1 (exp (* 3 x))))>
#<alt (log (+ 1 (exp (* 3 x))))>
#<alt (log (+ 1 (exp (* 3 x))))>
#<alt (log (+ 1 (exp (* 3 x))))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 (* 9/2 x))))>
#<alt (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<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 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 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<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 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<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 (/ (log 2) y)>
#<alt (/ (+ (log 2) (* -1 (* x y))) y)>
#<alt (/ (+ (log 2) (* -1 (* x y))) y)>
#<alt (/ (+ (log 2) (* -1 (* x y))) y)>
#<alt (* -1 x)>
#<alt (- (/ (log 2) y) x)>
#<alt (- (/ (log 2) y) x)>
#<alt (- (/ (log 2) y) x)>
#<alt (* -1 x)>
#<alt (- (/ (log 2) y) x)>
#<alt (- (/ (log 2) y) x)>
#<alt (- (/ (log 2) y) x)>
#<alt (/ (log 2) y)>
#<alt (+ (* -1 x) (/ (log 2) y))>
#<alt (+ (* -1 x) (/ (log 2) y))>
#<alt (+ (* -1 x) (/ (log 2) y))>
#<alt (* -1 x)>
#<alt (* x (- (/ (log 2) (* x y)) 1))>
#<alt (* x (- (/ (log 2) (* x y)) 1))>
#<alt (* x (- (/ (log 2) (* x y)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (log 2) (* x y))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (log 2) (* x y))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (log 2) (* x y))))))>
#<alt (/ (log 2) y)>
#<alt (/ (log 2) y)>
#<alt (/ (log 2) y)>
#<alt (/ (log 2) y)>
#<alt (/ (log 2) y)>
#<alt (/ (log 2) y)>
#<alt (/ (log 2) y)>
#<alt (/ (log 2) y)>
#<alt (/ (log 2) y)>
#<alt (/ (log 2) y)>
#<alt (/ (log 2) y)>
#<alt (/ (log 2) y)>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 (* x (+ 1 (* -5/12 (pow x 2))))))>
#<alt (* x (+ 1 (* x (+ 1 (* (pow x 2) (- (* 91/360 (pow x 2)) 5/12))))))>
#<alt (log (+ 1 (* (exp x) (- (exp x) 1))))>
#<alt (log (+ 1 (* (exp x) (- (exp x) 1))))>
#<alt (log (+ 1 (* (exp x) (- (exp x) 1))))>
#<alt (log (+ 1 (* (exp x) (- (exp x) 1))))>
#<alt (log (+ 1 (* (exp x) (- (exp x) 1))))>
#<alt (log (+ 1 (* (exp x) (- (exp x) 1))))>
#<alt (log (+ 1 (* (exp x) (- (exp x) 1))))>
#<alt (log (+ 1 (* (exp x) (- (exp x) 1))))>
#<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 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)>
#<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

81 calls:

TimeVariablePointExpression
86.0ms
y
@inf
(/ (log 2) y)
76.0ms
x
@-inf
(- (log (+ 1 (exp (* x 3)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
58.0ms
y
@0
(- (- (log (+ 1 (exp (* x 3)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y))
27.0ms
x
@inf
(- (log (+ 1 (exp (* x 3)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
9.0ms
y
@0
(/ (log 2) y)

rewrite465.0ms (4.9%)

Memory
12.8MiB live, 778.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 270×/-lowering-/.f32
4 270×/-lowering-/.f64
3 644×*-lowering-*.f32
3 644×*-lowering-*.f64
3 400×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036128
1219121
21804119
08276102
Stop Event
iter limit
node limit
Counts
22 → 1 195
Calls
Call 1
Inputs
(- (- (log (+ 1 (exp (* x 3)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y))
(- (log (+ 1 (exp (* x 3)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(log (+ 1 (exp (* x 3))))
(exp (* x 3))
(* x (neg y))
(neg y)
(/ y (- 0 (* y y)))
(/ 1 (/ y (- 0 (* y y))))
(* x (/ 1 (/ y (- 0 (* y y)))))
(- 0 (* y y))
(/ (- (* 0 (* y y)) (* (* y y) (* y (* y y)))) (* (* y y) (* y y)))
(* 0 (* y y))
(* x (/ (- (* 0 (* y y)) (* (* y y) (* y (* y y)))) (* (* y y) (* y y))))
(- (* 0 (* y y)) (* (* y y) (* y (* y y))))
(* y (- (/ (log 2) y) x))
(- (/ (log 2) y) x)
(/ (log 2) y)
(log 2)
(log (+ 1 (* (exp x) (- (exp x) 1))))
(* y y)
(* (* y y) (* y y))
(* y (* y y))
Outputs
(+.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (*.f64 x y)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))) (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))) (*.f64 x y))))) (/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))) (*.f64 x y))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))) (*.f64 x y))) (/.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))) (*.f64 x y))))
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(/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y))))) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) y) #s(literal 3 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))
(pow.f64 y #s(literal 3 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
(*.f64 y (*.f64 y y))
(*.f64 (*.f64 y y) y)
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) y) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 y y) #s(literal 3 binary64)) (*.f64 y (*.f64 y y)))
(*.f64 (pow.f64 (/.f64 y (*.f64 y (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) y) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 3/2 binary64)))

simplify399.0ms (4.2%)

Memory
-13.0MiB live, 816.8MiB allocated
Algorithm
egg-herbie
Rules
10 424×accelerator-lowering-fma.f32
10 424×accelerator-lowering-fma.f64
4 080×*-lowering-*.f32
4 080×*-lowering-*.f64
2 204×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451840
14051792
29491788
334821788
082961563
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
(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 (* 3 x)))) x) (+ y (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) x))))
(* x (- (/ (log (+ 1 (exp (* 3 x)))) x) (+ y (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) x))))
(* x (- (/ (log (+ 1 (exp (* 3 x)))) x) (+ y (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) x))))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))
(- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(- (+ (log (+ 1 (exp (* 3 x)))) (* -1 (* x y))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(- (+ (log (+ 1 (exp (* 3 x)))) (* -1 (* x y))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(- (+ (log (+ 1 (exp (* 3 x)))) (* -1 (* x y))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp (* 3 x)))) y) (+ x (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) y))))
(* y (- (/ (log (+ 1 (exp (* 3 x)))) y) (+ x (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) y))))
(* y (- (/ (log (+ 1 (exp (* 3 x)))) y) (+ x (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) y))))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) y)) (* -1 x))))
(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 (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(log 2)
(+ (log 2) (* 3/2 x))
(+ (log 2) (* x (+ 3/2 (* 9/8 x))))
(+ (log 2) (* x (+ 3/2 (* x (+ 9/8 (* -27/64 (pow x 2)))))))
(log (+ 1 (exp (* 3 x))))
(log (+ 1 (exp (* 3 x))))
(log (+ 1 (exp (* 3 x))))
(log (+ 1 (exp (* 3 x))))
(log (+ 1 (exp (* 3 x))))
(log (+ 1 (exp (* 3 x))))
(log (+ 1 (exp (* 3 x))))
(log (+ 1 (exp (* 3 x))))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 (* 9/2 x))))
(+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(* -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 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)
0
0
0
0
0
0
0
0
0
0
0
0
(* -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 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(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)))))
(/ (log 2) y)
(/ (+ (log 2) (* -1 (* x y))) y)
(/ (+ (log 2) (* -1 (* x y))) y)
(/ (+ (log 2) (* -1 (* x y))) y)
(* -1 x)
(- (/ (log 2) y) x)
(- (/ (log 2) y) x)
(- (/ (log 2) y) x)
(* -1 x)
(- (/ (log 2) y) x)
(- (/ (log 2) y) x)
(- (/ (log 2) y) x)
(/ (log 2) y)
(+ (* -1 x) (/ (log 2) y))
(+ (* -1 x) (/ (log 2) y))
(+ (* -1 x) (/ (log 2) y))
(* -1 x)
(* x (- (/ (log 2) (* x y)) 1))
(* x (- (/ (log 2) (* x y)) 1))
(* x (- (/ (log 2) (* x y)) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (log 2) (* x y))))))
(* -1 (* x (+ 1 (* -1 (/ (log 2) (* x y))))))
(* -1 (* x (+ 1 (* -1 (/ (log 2) (* x y))))))
(/ (log 2) y)
(/ (log 2) y)
(/ (log 2) y)
(/ (log 2) y)
(/ (log 2) y)
(/ (log 2) y)
(/ (log 2) y)
(/ (log 2) y)
(/ (log 2) y)
(/ (log 2) y)
(/ (log 2) y)
(/ (log 2) y)
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 (* -5/12 (pow x 2))))))
(* x (+ 1 (* x (+ 1 (* (pow x 2) (- (* 91/360 (pow x 2)) 5/12))))))
(log (+ 1 (* (exp x) (- (exp x) 1))))
(log (+ 1 (* (exp x) (- (exp x) 1))))
(log (+ 1 (* (exp x) (- (exp x) 1))))
(log (+ 1 (* (exp x) (- (exp x) 1))))
(log (+ 1 (* (exp x) (- (exp x) 1))))
(log (+ 1 (* (exp x) (- (exp x) 1))))
(log (+ 1 (* (exp x) (- (exp x) 1))))
(log (+ 1 (* (exp x) (- (exp x) 1))))
(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 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)
(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) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))))))))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* x (- (/ (log (+ 1 (exp (* 3 x)))) x) (+ y (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) x))))
(*.f64 x (-.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) x) y))
(* x (- (/ (log (+ 1 (exp (* 3 x)))) x) (+ y (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) x))))
(*.f64 x (-.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) x) y))
(* x (- (/ (log (+ 1 (exp (* 3 x)))) x) (+ y (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) x))))
(*.f64 x (-.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) x) y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) x) y))
(* -1 (* x (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) x) y))
(* -1 (* x (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) x) y))
(- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(- (+ (log (+ 1 (exp (* 3 x)))) (* -1 (* x y))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 x y) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(- (+ (log (+ 1 (exp (* 3 x)))) (* -1 (* x y))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 x y) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(- (+ (log (+ 1 (exp (* 3 x)))) (* -1 (* x y))) (log (+ 1 (* (exp x) (- (exp x) 1)))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 x y) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* y (- (/ (log (+ 1 (exp (* 3 x)))) y) (+ x (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) y))))
(*.f64 y (-.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) y) x))
(* y (- (/ (log (+ 1 (exp (* 3 x)))) y) (+ x (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) y))))
(*.f64 y (-.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) y) x))
(* y (- (/ (log (+ 1 (exp (* 3 x)))) y) (+ x (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) y))))
(*.f64 y (-.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) y) x))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) y) x))
(* -1 (* y (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) y) x))
(* -1 (* y (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) (log (+ 1 (* (exp x) (- (exp x) 1))))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) y) x))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
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(/.f64 (log.f64 #s(literal 2 binary64)) y)
(/ (log 2) y)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(/ (log 2) y)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(/ (log 2) y)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
x
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 (* x (+ 1 (* -5/12 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -5/12 binary64))))))
(* x (+ 1 (* x (+ 1 (* (pow x 2) (- (* 91/360 (pow x 2)) 5/12))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -5/12 binary64) (*.f64 x (*.f64 x #s(literal 91/360 binary64)))))))))
(log (+ 1 (* (exp x) (- (exp x) 1))))
(log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))
(log (+ 1 (* (exp x) (- (exp x) 1))))
(log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))
(log (+ 1 (* (exp x) (- (exp x) 1))))
(log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))
(log (+ 1 (* (exp x) (- (exp x) 1))))
(log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))
(log (+ 1 (* (exp x) (- (exp x) 1))))
(log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))
(log (+ 1 (* (exp x) (- (exp x) 1))))
(log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))
(log (+ 1 (* (exp x) (- (exp x) 1))))
(log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))
(log (+ 1 (* (exp x) (- (exp x) 1))))
(log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))
(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 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(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))

eval273.0ms (2.9%)

Memory
41.0MiB live, 550.8MiB allocated
Compiler

Compiled 48 690 to 3 891 computations (92% saved)

prune184.0ms (1.9%)

Memory
-15.8MiB live, 517.6MiB allocated
Pruning

46 alts after pruning (43 fresh and 3 done)

PrunedKeptTotal
New1 821331 854
Fresh31013
Picked325
Done011
Total1 827461 873
Accuracy
99.7%
Counts
1 873 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.3%
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y y)) (*.f64 y y))
7.3%
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) y) (*.f64 y (*.f64 y y)))
26.2%
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
19.7%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
51.9%
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))
13.4%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x) (*.f64 y y))
27.9%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) y)
51.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -1 binary64))))
26.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x y)))
13.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))) x)))
52.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
83.1%
(-.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) (*.f64 x y))
66.4%
(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
88.3%
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
75.7%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
82.9%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
53.5%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))))))
26.5%
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (*.f64 y y))
13.1%
(*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
27.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x))
6.2%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) x))
88.3%
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
3.2%
(*.f64 x (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
6.7%
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
28.9%
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
4.2%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
6.7%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
6.7%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
3.7%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 0 binary64))))))
6.6%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))) (*.f64 y y))))
6.7%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))))
6.2%
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))
8.5%
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))))
29.4%
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y))
11.4%
(*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y)))
2.8%
(*.f64 x (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (neg.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))))))
6.7%
(*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))))
8.0%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))))
29.3%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) y)))))
52.0%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
24.5%
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (*.f64 #s(literal 1 binary64) (*.f64 y y))))))
11.4%
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))))
14.4%
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
52.1%
(*.f64 x (neg.f64 y))
47.6%
(log.f64 (+.f64 x #s(literal 2 binary64)))
48.2%
(log.f64 #s(literal 2 binary64))
Compiler

Compiled 1 938 to 923 computations (52.4% saved)

simplify178.0ms (1.9%)

Memory
14.2MiB live, 206.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))
cost-diff256
(*.f64 #s(literal 0 binary64) (*.f64 y y))
cost-diff384
(/.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))
cost-diff1024
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 (*.f64 y y) (*.f64 y y)))
cost-diff0
(*.f64 y (*.f64 y (*.f64 y y)))
cost-diff0
(*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))
cost-diff0
(*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))))
cost-diff1024
(/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y)))
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 y y))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x y)))
cost-diff256
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x 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-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(exp.f64 (*.f64 x #s(literal 3 binary64)))
cost-diff0
(log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))
cost-diff0
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x)
cost-diff0
(-.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) (*.f64 x y))
Rules
3 874×*-lowering-*.f32
3 874×*-lowering-*.f64
3 078×accelerator-lowering-fma.f32
3 078×accelerator-lowering-fma.f64
1 696×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035192
1117163
2460147
32855147
44121147
56961147
08039140
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (- (log (+ 1 (exp (* x 3)))) x) (* x y))
(- (log (+ 1 (exp (* x 3)))) x)
(log (+ 1 (exp (* x 3))))
(exp (* x 3))
(* x 3)
x
3
(* x y)
y
(* x (/ 1 (/ -1 y)))
x
(/ 1 (/ -1 y))
1
(/ -1 y)
-1
y
(/ 1 (/ (/ -1 (* y y)) (/ x y)))
1
(/ (/ -1 (* y y)) (/ x y))
(/ -1 (* y y))
-1
(* y y)
y
(/ x y)
x
(* x (/ (neg (* y (* y (* y (* y y))))) (* (* y y) (* y y))))
x
(/ (neg (* y (* y (* 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))
(* x (/ (- (* 0 (* y y)) (* (* y y) (/ 1 (/ (* y y) (* y (* y (* y (* y y)))))))) (* (* y y) (* y y))))
x
(/ (- (* 0 (* y y)) (* (* y y) (/ 1 (/ (* y y) (* y (* y (* y (* y y)))))))) (* (* y y) (* y y)))
(- (* 0 (* y y)) (* (* y y) (/ 1 (/ (* y y) (* y (* y (* y (* y y))))))))
(* 0 (* y y))
0
(* y y)
y
(* (* y y) (/ 1 (/ (* y y) (* y (* y (* y (* y y)))))))
(/ 1 (/ (* y y) (* y (* y (* y (* y y))))))
1
(/ (* y y) (* y (* y (* y (* y y)))))
(* y (* y (* y (* y y))))
(* y (* y (* y y)))
(* y (* y y))
(* (* y y) (* y y))
Outputs
(- (- (log (+ 1 (exp (* x 3)))) x) (* x y))
(+.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 #s(literal -1 binary64) y)))
(- (log (+ 1 (exp (* x 3)))) x)
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x)
(log (+ 1 (exp (* x 3))))
(log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))
(exp (* x 3))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(* x y)
(*.f64 x y)
y
(* x (/ 1 (/ -1 y)))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
x
(/ 1 (/ -1 y))
(-.f64 #s(literal 0 binary64) y)
1
#s(literal 1 binary64)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
-1
#s(literal -1 binary64)
y
(/ 1 (/ (/ -1 (* y y)) (/ x y)))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
1
#s(literal 1 binary64)
(/ (/ -1 (* y y)) (/ x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* y y))
(/.f64 (/.f64 #s(literal -1 binary64) y) y)
-1
#s(literal -1 binary64)
(* y y)
(*.f64 y y)
y
(/ x y)
(/.f64 x y)
x
(* x (/ (neg (* y (* y (* y (* y y))))) (* (* y y) (* y y))))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
x
(/ (neg (* y (* y (* y (* y y))))) (* (* y y) (* y y)))
(-.f64 #s(literal 0 binary64) y)
(neg (* y (* y (* y (* y y)))))
(*.f64 y (*.f64 y (/.f64 y (/.f64 (/.f64 #s(literal -1 binary64) y) y))))
(* y (* y (* y (* y y))))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y 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)
(* (* y y) (* y y))
(*.f64 y (*.f64 y (*.f64 y y)))
(* x (/ (- (* 0 (* y y)) (* (* y y) (/ 1 (/ (* y y) (* y (* y (* y (* y y)))))))) (* (* y y) (* y y))))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
x
(/ (- (* 0 (* y y)) (* (* y y) (/ 1 (/ (* y y) (* y (* y (* y (* y y)))))))) (* (* y y) (* y y)))
(-.f64 #s(literal 0 binary64) y)
(- (* 0 (* y y)) (* (* y y) (/ 1 (/ (* y y) (* y (* y (* y (* y y))))))))
(*.f64 y (*.f64 y (/.f64 y (/.f64 (/.f64 #s(literal -1 binary64) y) y))))
(* 0 (* y y))
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* y y)
(*.f64 y y)
y
(* (* y y) (/ 1 (/ (* y y) (* y (* y (* y (* y y)))))))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))
(/ 1 (/ (* y y) (* y (* y (* y (* y y))))))
(*.f64 y (*.f64 y y))
1
#s(literal 1 binary64)
(/ (* y y) (* y (* y (* y (* y y)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 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) (* y y))
(*.f64 y (*.f64 y (*.f64 y y)))

localize126.0ms (1.3%)

Memory
-10.2MiB live, 182.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))
accuracy76.2%
(*.f64 #s(literal 0 binary64) (*.f64 y y))
accuracy43.5%
(/.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))
accuracy18.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 (*.f64 y y) (*.f64 y y)))
accuracy99.9%
(*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))
accuracy99.9%
(*.f64 y (*.f64 y y))
accuracy99.8%
(*.f64 (*.f64 y y) (*.f64 y y))
accuracy18.8%
(/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y)))
accuracy100.0%
(*.f64 y y)
accuracy99.1%
(/.f64 #s(literal -1 binary64) (*.f64 y y))
accuracy98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x y)))
accuracy63.9%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x y))
accuracy100.0%
(/.f64 #s(literal -1 binary64) y)
accuracy100.0%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
accuracy100.0%
(exp.f64 (*.f64 x #s(literal 3 binary64)))
accuracy100.0%
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x)
accuracy100.0%
(-.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) (*.f64 x y))
accuracy99.6%
(log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))
Samples
67.0ms256×0valid
Compiler

Compiled 353 to 36 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 16.0ms (37.9% of total)
ival-mult: 16.0ms (37.9% of total)
ival-sub: 3.0ms (7.1% of total)
ival-log1p: 3.0ms (7.1% of total)
ival-exp: 2.0ms (4.7% of total)
ival-neg: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
21 → 312
Calls
Call 1
Inputs
#<alt (- (- (log (+ 1 (exp (* x 3)))) x) (* x y))>
#<alt (- (log (+ 1 (exp (* x 3)))) x)>
#<alt (log (+ 1 (exp (* x 3))))>
#<alt (exp (* x 3))>
#<alt (/ 1 (/ -1 y))>
#<alt (* x (/ 1 (/ -1 y)))>
#<alt (/ -1 y)>
#<alt (/ (/ -1 (* y y)) (/ x y))>
#<alt (/ 1 (/ (/ -1 (* y y)) (/ x y)))>
#<alt (/ -1 (* y y))>
#<alt (* y y)>
#<alt (/ (neg (* y (* y (* y (* y y))))) (* (* y y) (* y y)))>
#<alt (* x (/ (neg (* y (* y (* y (* y y))))) (* (* y y) (* y y))))>
#<alt (* y (* y (* y (* y y))))>
#<alt (* y (* y (* y y)))>
#<alt (/ (- (* 0 (* y y)) (* (* y y) (/ 1 (/ (* y y) (* y (* y (* y (* y y)))))))) (* (* y y) (* y y)))>
#<alt (/ (* y y) (* y (* y (* y (* y y)))))>
#<alt (* 0 (* y y))>
#<alt (/ 1 (/ (* y y) (* y (* y (* y (* y y))))))>
#<alt (* (* y y) (* y y))>
#<alt (* y (* y y))>
Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 9/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 9/8 (* -27/64 (pow x 2))))) y)))>
#<alt (* -1 (* x (+ 1 y)))>
#<alt (* x (- (/ (log (+ 1 (exp (* 3 x)))) x) (+ 1 y)))>
#<alt (* x (- (/ (log (+ 1 (exp (* 3 x)))) x) (+ 1 y)))>
#<alt (* x (- (/ (log (+ 1 (exp (* 3 x)))) x) (+ 1 y)))>
#<alt (* -1 (* x (- 1 (* -1 y))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (log (+ 1 (exp (* 3 x)))) x))) (* -1 y))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (log (+ 1 (exp (* 3 x)))) x))) (* -1 y))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (log (+ 1 (exp (* 3 x)))) x))) (* -1 y))))>
#<alt (- (log (+ 1 (exp (* 3 x)))) x)>
#<alt (- (+ (log (+ 1 (exp (* 3 x)))) (* -1 (* x y))) x)>
#<alt (- (+ (log (+ 1 (exp (* 3 x)))) (* -1 (* x y))) x)>
#<alt (- (+ (log (+ 1 (exp (* 3 x)))) (* -1 (* x y))) x)>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp (* 3 x)))) y) (+ x (/ x y))))>
#<alt (* y (- (/ (log (+ 1 (exp (* 3 x)))) y) (+ x (/ x y))))>
#<alt (* y (- (/ (log (+ 1 (exp (* 3 x)))) y) (+ x (/ x y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) x) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) x) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) x) y)) (* -1 x))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (* x (+ 1/2 (* 9/8 x))))>
#<alt (+ (log 2) (* x (+ 1/2 (* x (+ 9/8 (* -27/64 (pow x 2)))))))>
#<alt (* -1 x)>
#<alt (* x (- (/ (log (+ 1 (exp (* 3 x)))) x) 1))>
#<alt (* x (- (/ (log (+ 1 (exp (* 3 x)))) x) 1))>
#<alt (* x (- (/ (log (+ 1 (exp (* 3 x)))) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp (* 3 x)))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp (* 3 x)))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp (* 3 x)))) x)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 3/2 x))>
#<alt (+ (log 2) (* x (+ 3/2 (* 9/8 x))))>
#<alt (+ (log 2) (* x (+ 3/2 (* x (+ 9/8 (* -27/64 (pow x 2)))))))>
#<alt (log (+ 1 (exp (* 3 x))))>
#<alt (log (+ 1 (exp (* 3 x))))>
#<alt (log (+ 1 (exp (* 3 x))))>
#<alt (log (+ 1 (exp (* 3 x))))>
#<alt (log (+ 1 (exp (* 3 x))))>
#<alt (log (+ 1 (exp (* 3 x))))>
#<alt (log (+ 1 (exp (* 3 x))))>
#<alt (log (+ 1 (exp (* 3 x))))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 (* 9/2 x))))>
#<alt (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 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 (* 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 (* 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 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 (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 (* -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 (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<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)>
#<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 (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 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 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)>
#<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

78 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(- (- (log (+ 1 (exp (* x 3)))) x) (* x y))
1.0ms
y
@inf
(/ (/ -1 (* y y)) (/ x y))
1.0ms
x
@inf
(/ (/ -1 (* y y)) (/ x y))
0.0ms
y
@0
(/ (/ -1 (* y y)) (/ x y))
0.0ms
x
@0
(/ (/ -1 (* y y)) (/ x y))

rewrite325.0ms (3.4%)

Memory
-25.4MiB live, 537.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 166×/-lowering-/.f32
3 166×/-lowering-/.f64
2 900×*-lowering-*.f32
2 900×*-lowering-*.f64
2 576×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034132
122698
2180785
0870878
Stop Event
iter limit
node limit
Counts
21 → 1 207
Calls
Call 1
Inputs
(- (- (log (+ 1 (exp (* x 3)))) x) (* x y))
(- (log (+ 1 (exp (* x 3)))) x)
(log (+ 1 (exp (* x 3))))
(exp (* x 3))
(/ 1 (/ -1 y))
(* x (/ 1 (/ -1 y)))
(/ -1 y)
(/ (/ -1 (* y y)) (/ x y))
(/ 1 (/ (/ -1 (* y y)) (/ x y)))
(/ -1 (* y y))
(* y y)
(/ (neg (* y (* y (* y (* y y))))) (* (* y y) (* y y)))
(* x (/ (neg (* y (* y (* y (* y y))))) (* (* y y) (* y y))))
(* y (* y (* y (* y y))))
(* y (* y (* y y)))
(/ (- (* 0 (* y y)) (* (* y y) (/ 1 (/ (* y y) (* y (* y (* y (* y y)))))))) (* (* y y) (* y y)))
(/ (* y y) (* y (* y (* y (* y y)))))
(* 0 (* y y))
(/ 1 (/ (* y y) (* y (* y (* y (* y y))))))
(* (* y y) (* y y))
(* y (* y y))
Outputs
(+.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x))
(+.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) (*.f64 x y))))) (neg.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) (*.f64 x y)))))))
(+.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) #s(literal 2 binary64)) (+.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) (*.f64 x y))) (neg.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (+.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) x))
(-.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) (*.f64 x y))))) (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) (*.f64 x y))))))
(-.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) #s(literal 2 binary64)) (+.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) (*.f64 x y))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (+.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) (*.f64 x y))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (+.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)) (*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) x))))) (/.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (+.f64 y #s(literal 1 binary64)) x))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (+.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)) (*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) x))) (/.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)) (+.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) x))))
(fma.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)) (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x))
(fma.f64 x (-.f64 #s(literal 0 binary64) y) (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)) (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (*.f64 x y) #s(literal -1 binary64) (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x))
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(*.f64 (pow.f64 (*.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) y) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 y (*.f64 y (*.f64 y y))) #s(literal 3 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) (*.f64 #s(literal 2 binary64) (log.f64 y))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
(neg.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y))
(/.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y)))
(/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) y)
(/.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(/.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))
(*.f64 y (*.f64 y (*.f64 y y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 (*.f64 y y) (*.f64 y y))
(*.f64 (*.f64 y (*.f64 y y)) y)
(*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))
(/.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y y))
(/.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)
(/.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.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 y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (pow.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y))
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64))
(/.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 y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))
(pow.f64 y #s(literal 3 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64))
(pow.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) (*.f64 y (*.f64 y y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
(*.f64 y (*.f64 y y))
(*.f64 y (/.f64 (*.f64 y (*.f64 y y)) y))
(*.f64 y (pow.f64 (/.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 y y) y)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) y) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 y (*.f64 y (*.f64 y y))) #s(literal 3 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))

simplify373.0ms (3.9%)

Memory
54.5MiB live, 589.0MiB allocated
Algorithm
egg-herbie
Rules
10 314×accelerator-lowering-fma.f32
10 314×accelerator-lowering-fma.f64
2 704×*-lowering-*.f32
2 704×*-lowering-*.f64
2 164×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021400
12751400
26131398
321571368
461341368
082081269
Stop Event
iter limit
node limit
Counts
312 → 312
Calls
Call 1
Inputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 9/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 9/8 (* -27/64 (pow x 2))))) y)))
(* -1 (* x (+ 1 y)))
(* x (- (/ (log (+ 1 (exp (* 3 x)))) x) (+ 1 y)))
(* x (- (/ (log (+ 1 (exp (* 3 x)))) x) (+ 1 y)))
(* x (- (/ (log (+ 1 (exp (* 3 x)))) x) (+ 1 y)))
(* -1 (* x (- 1 (* -1 y))))
(* -1 (* x (- (+ 1 (* -1 (/ (log (+ 1 (exp (* 3 x)))) x))) (* -1 y))))
(* -1 (* x (- (+ 1 (* -1 (/ (log (+ 1 (exp (* 3 x)))) x))) (* -1 y))))
(* -1 (* x (- (+ 1 (* -1 (/ (log (+ 1 (exp (* 3 x)))) x))) (* -1 y))))
(- (log (+ 1 (exp (* 3 x)))) x)
(- (+ (log (+ 1 (exp (* 3 x)))) (* -1 (* x y))) x)
(- (+ (log (+ 1 (exp (* 3 x)))) (* -1 (* x y))) x)
(- (+ (log (+ 1 (exp (* 3 x)))) (* -1 (* x y))) x)
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp (* 3 x)))) y) (+ x (/ x y))))
(* y (- (/ (log (+ 1 (exp (* 3 x)))) y) (+ x (/ x y))))
(* y (- (/ (log (+ 1 (exp (* 3 x)))) y) (+ x (/ x y))))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) x) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) x) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (- (log (+ 1 (exp (* 3 x)))) x) y)) (* -1 x))))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 9/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 9/8 (* -27/64 (pow x 2)))))))
(* -1 x)
(* x (- (/ (log (+ 1 (exp (* 3 x)))) x) 1))
(* x (- (/ (log (+ 1 (exp (* 3 x)))) x) 1))
(* x (- (/ (log (+ 1 (exp (* 3 x)))) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp (* 3 x)))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp (* 3 x)))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp (* 3 x)))) x)))))
(log 2)
(+ (log 2) (* 3/2 x))
(+ (log 2) (* x (+ 3/2 (* 9/8 x))))
(+ (log 2) (* x (+ 3/2 (* x (+ 9/8 (* -27/64 (pow x 2)))))))
(log (+ 1 (exp (* 3 x))))
(log (+ 1 (exp (* 3 x))))
(log (+ 1 (exp (* 3 x))))
(log (+ 1 (exp (* 3 x))))
(log (+ 1 (exp (* 3 x))))
(log (+ 1 (exp (* 3 x))))
(log (+ 1 (exp (* 3 x))))
(log (+ 1 (exp (* 3 x))))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 (* 9/2 x))))
(+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 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 (* 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 (* 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 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))
(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)
(* -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))
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(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)
(* -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 (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))
0
0
0
0
0
0
0
0
0
0
0
0
(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)
(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) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+ (log 2) (* x (- (+ 1/2 (* 9/8 x)) y)))
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(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) 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)))
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 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)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(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))

eval252.0ms (2.6%)

Memory
-25.4MiB live, 531.6MiB allocated
Compiler

Compiled 56 293 to 5 059 computations (91% saved)

prune332.0ms (3.5%)

Memory
-5.1MiB live, 446.6MiB allocated
Pruning

43 alts after pruning (39 fresh and 4 done)

PrunedKeptTotal
New2 099222 121
Fresh211738
Picked415
Done033
Total2 124432 167
Accuracy
99.7%
Counts
2 167 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.3%
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) y) (*.f64 y (*.f64 y y)))
12.8%
(/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
26.2%
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
19.7%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
24.4%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
13.4%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x) (*.f64 y y))
27.9%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) y)
26.5%
(/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
51.9%
(/.f64 x (/.f64 #s(literal -1 binary64) y))
33.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) y))
26.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x y)))
51.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
13.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x)))
52.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
27.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) x) y))
33.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
51.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))
82.9%
(-.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))) x) (*.f64 x y))
66.4%
(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
88.3%
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
75.7%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
82.9%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
53.5%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))))))
33.5%
(*.f64 (/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
7.6%
(*.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
27.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x))
88.3%
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
3.2%
(*.f64 x (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
3.2%
(*.f64 x (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
6.7%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 y (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
6.7%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
6.7%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
3.7%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 0 binary64))))))
6.6%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))) (*.f64 y y))))
2.8%
(*.f64 x (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (neg.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))))))
6.7%
(*.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))))
29.3%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) y)))))
8.5%
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y))))
8.4%
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))))
36.3%
(*.f64 x (-.f64 #s(literal -1 binary64) y))
52.1%
(*.f64 x (neg.f64 y))
47.6%
(log.f64 (+.f64 x #s(literal 2 binary64)))
48.2%
(log.f64 #s(literal 2 binary64))
Compiler

Compiled 2 351 to 734 computations (68.8% saved)

regimes76.0ms (0.8%)

Memory
7.2MiB live, 121.1MiB allocated
Counts
81 → 1
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (*.f64 y y))
(*.f64 (/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) y)
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) y) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x) (*.f64 y y))
(/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.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 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (*.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))) x)))
(*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y))))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) y) (*.f64 y (*.f64 y y)))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y y)) (*.f64 y y))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) x))
(*.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.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 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 #s(literal 0 binary64) (*.f64 y x)))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 y (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (neg.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(*.f64 x (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 0 binary64))))))
(log.f64 #s(literal 2 binary64))
(log.f64 (+.f64 x #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
(-.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))) x) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y))))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log1p.f64 (exp.f64 x)))
(-.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (*.f64 x y))
(*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
Outputs
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log1p.f64 (exp.f64 x)))
Calls

3 calls:

23.0ms
y
21.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
21.0ms
x
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)

regimes97.0ms (1%)

Memory
15.4MiB live, 134.3MiB allocated
Counts
78 → 1
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (*.f64 y y))
(*.f64 (/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) y)
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) y) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x) (*.f64 y y))
(/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.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 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (*.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))) x)))
(*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y))))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) y) (*.f64 y (*.f64 y y)))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y y)) (*.f64 y y))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) x))
(*.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.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 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 #s(literal 0 binary64) (*.f64 y x)))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 y (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (neg.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(*.f64 x (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 0 binary64))))))
(log.f64 #s(literal 2 binary64))
(log.f64 (+.f64 x #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
(-.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))) x) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y))))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) x) (*.f64 x y))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Calls

3 calls:

44.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
22.0ms
y
21.0ms
x
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)

regimes55.0ms (0.6%)

Memory
-24.1MiB live, 93.4MiB allocated
Counts
76 → 2
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (*.f64 y y))
(*.f64 (/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) y)
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) y) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x) (*.f64 y y))
(/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.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 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (*.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))) x)))
(*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y))))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) y) (*.f64 y (*.f64 y y)))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y y)) (*.f64 y y))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) x))
(*.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.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 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 #s(literal 0 binary64) (*.f64 y x)))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 y (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (neg.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(*.f64 x (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 0 binary64))))))
(log.f64 #s(literal 2 binary64))
(log.f64 (+.f64 x #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
(-.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))) x) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y))))
(log1p.f64 (exp.f64 x))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y))))
Calls

2 calls:

24.0ms
x
22.0ms
y
Results
AccuracySegmentsBranch
99.6%2x
88.3%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.3%)

Memory
22.6MiB live, 61.0MiB allocated
Counts
74 → 2
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (*.f64 y y))
(*.f64 (/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) y)
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) y) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x) (*.f64 y y))
(/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.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 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (*.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))) x)))
(*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y))))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) y) (*.f64 y (*.f64 y y)))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y y)) (*.f64 y y))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) x))
(*.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.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 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 #s(literal 0 binary64) (*.f64 y x)))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 y (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (neg.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(*.f64 x (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 0 binary64))))))
(log.f64 #s(literal 2 binary64))
(log.f64 (+.f64 x #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
(-.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))) x) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))))))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
Calls

1 calls:

20.0ms
x
Results
AccuracySegmentsBranch
99.5%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes28.0ms (0.3%)

Memory
15.2MiB live, 52.6MiB allocated
Counts
71 → 2
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (*.f64 y y))
(*.f64 (/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) y)
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) y) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x) (*.f64 y y))
(/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.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 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (*.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))) x)))
(*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y))))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) y) (*.f64 y (*.f64 y y)))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y y)) (*.f64 y y))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) x))
(*.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.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 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 #s(literal 0 binary64) (*.f64 y x)))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 y (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (neg.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(*.f64 x (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 0 binary64))))))
(log.f64 #s(literal 2 binary64))
(log.f64 (+.f64 x #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 x y))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
Calls

1 calls:

20.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes29.0ms (0.3%)

Memory
-29.0MiB live, 53.0MiB allocated
Counts
68 → 2
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (*.f64 y y))
(*.f64 (/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) y)
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) y) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x) (*.f64 y y))
(/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.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 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (*.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))) x)))
(*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y))))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) y) (*.f64 y (*.f64 y y)))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y y)) (*.f64 y y))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) x))
(*.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.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 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 #s(literal 0 binary64) (*.f64 y x)))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 y (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (neg.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(*.f64 x (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 0 binary64))))))
(log.f64 #s(literal 2 binary64))
(log.f64 (+.f64 x #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
Outputs
(*.f64 x (neg.f64 y))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
Calls

1 calls:

21.0ms
x
Results
AccuracySegmentsBranch
98.5%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes45.0ms (0.5%)

Memory
13.0MiB live, 90.0MiB allocated
Counts
66 → 3
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (*.f64 y y))
(*.f64 (/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) y)
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) y) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x) (*.f64 y y))
(/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.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 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (*.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))) x)))
(*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y))))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) y) (*.f64 y (*.f64 y y)))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y y)) (*.f64 y y))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) x))
(*.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.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 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 #s(literal 0 binary64) (*.f64 y x)))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 y (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (neg.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(*.f64 x (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 0 binary64))))))
(log.f64 #s(literal 2 binary64))
(log.f64 (+.f64 x #s(literal 2 binary64)))
Outputs
(*.f64 x (neg.f64 y))
(log.f64 (+.f64 x #s(literal 2 binary64)))
(*.f64 x (neg.f64 y))
Calls

2 calls:

18.0ms
x
17.0ms
y
Results
AccuracySegmentsBranch
70.1%3y
82.3%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes29.0ms (0.3%)

Memory
4.0MiB live, 53.6MiB allocated
Counts
65 → 3
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (*.f64 y y))
(*.f64 (/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) y)
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) y) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x) (*.f64 y y))
(/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.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 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))))
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(*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y)))
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(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y))))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) y) (*.f64 y (*.f64 y y)))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y y)) (*.f64 y y))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
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(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 #s(literal 0 binary64) (*.f64 y x)))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 y (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (neg.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(*.f64 x (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 0 binary64))))))
(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:

21.0ms
x
Results
AccuracySegmentsBranch
82.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes40.0ms (0.4%)

Memory
9.8MiB live, 125.8MiB allocated
Accuracy

Total -32.9b remaining (-107.3%)

Threshold costs -32.9b (-107.3%)

Counts
64 → 1
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
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(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (*.f64 y y))
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(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))))
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(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))))) (*.f64 (*.f64 y y) (*.f64 y y))))
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(*.f64 x (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 x (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 0 binary64))))))
Outputs
(*.f64 x (neg.f64 y))
Calls

2 calls:

18.0ms
x
18.0ms
y
Results
AccuracySegmentsBranch
52.1%1y
52.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch34.0ms (0.4%)

Memory
-18.9MiB live, 22.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
-12446.597200753991
-0.0032176067915298348
Samples
27.0ms144×0valid
Compiler

Compiled 266 to 200 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (41.2% of total)
ival-sub: 1.0ms (20.6% of total)
ival-log1p: 1.0ms (20.6% of total)
ival-mult: 1.0ms (20.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
18.6MiB live, 18.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-12446.597200753991
-0.0032176067915298348
Samples
7.0ms144×0valid
Compiler

Compiled 212 to 164 computations (22.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (47.3% of total)
ival-sub: 1.0ms (23.7% of total)
ival-log1p: 1.0ms (23.7% of total)
ival-mult: 1.0ms (23.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory
-13.9MiB live, 24.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
-12446.597200753991
-0.0032176067915298348
Samples
21.0ms144×0valid
Compiler

Compiled 176 to 137 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 13.0ms (74.9% of total)
ival-exp: 2.0ms (11.5% of total)
ival-log1p: 2.0ms (11.5% of total)
ival-sub: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
-11.9MiB live, 25.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-12446.597200753991
-0.0032176067915298348
Samples
9.0ms144×0valid
Compiler

Compiled 158 to 119 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (45.4% of total)
ival-sub: 1.0ms (22.7% of total)
ival-log1p: 1.0ms (22.7% of total)
ival-mult: 1.0ms (22.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
13.8MiB live, 51.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
9.833455255029252e-50
2.9575900913850975e-43
13.0ms
-12446.597200753991
-0.0032176067915298348
Samples
17.0ms288×0valid
Compiler

Compiled 266 to 209 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 4.0ms (37.3% of total)
ival-log1p: 3.0ms (28% of total)
ival-mult: 2.0ms (18.7% of total)
ival-sub: 1.0ms (9.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
-0.3MiB live, 39.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
9.833455255029252e-50
2.9575900913850975e-43
15.0ms
-3.187819982352603e-6
-5.599443508117111e-9
Samples
18.0ms272×0valid
Compiler

Compiled 218 to 181 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-log1p: 7.0ms (56.6% of total)
ival-exp: 2.0ms (16.2% of total)
ival-mult: 2.0ms (16.2% of total)
ival-sub: 1.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated
Algorithm
egg-herbie
Rules
32×+-commutative_binary64
22×*-commutative_binary64
16×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062128
1102128
2114128
3118128
4120128
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y)))))
(if (<=.f64 x #s(literal -110 binary64)) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -31 binary64)) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))
(if (<=.f64 x #s(literal -1498797955988901/288230376151711744 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal 5523849527140279/50216813883093446110686315385661331328818843555712276103168 binary64)) (log.f64 (+.f64 x #s(literal 2 binary64))) (*.f64 x (neg.f64 y))))
(if (<=.f64 x #s(literal -6769984589841923/1208925819614629174706176 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal 3515176971816541/12554203470773361527671578846415332832204710888928069025792 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))
(*.f64 x (neg.f64 y))
Outputs
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y)))))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y x)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y)))))
(if (<=.f64 x #s(literal -110 binary64)) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))))
(if (<=.f64 x #s(literal -110 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y x)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y x)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -31 binary64)) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))
(if (<=.f64 x #s(literal -31 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y x)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x)))
(if (<=.f64 x #s(literal -1498797955988901/288230376151711744 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal 5523849527140279/50216813883093446110686315385661331328818843555712276103168 binary64)) (log.f64 (+.f64 x #s(literal 2 binary64))) (*.f64 x (neg.f64 y))))
(if (<=.f64 x #s(literal -1498797955988901/288230376151711744 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y x)) (if (<=.f64 x #s(literal 5523849527140279/50216813883093446110686315385661331328818843555712276103168 binary64)) (log.f64 (+.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y x))))
(if (<=.f64 x #s(literal -6769984589841923/1208925819614629174706176 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal 3515176971816541/12554203470773361527671578846415332832204710888928069025792 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))
(if (<=.f64 x #s(literal -6769984589841923/1208925819614629174706176 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y x)) (if (<=.f64 x #s(literal 3515176971816541/12554203470773361527671578846415332832204710888928069025792 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y x))))
(*.f64 x (neg.f64 y))
(-.f64 #s(literal 0 binary64) (*.f64 y x))

soundness1.1s (12%)

Memory
9.4MiB live, 707.2MiB allocated
Rules
11 474×accelerator-lowering-fma.f32
11 474×accelerator-lowering-fma.f64
6 920×accelerator-lowering-fma.f32
6 920×accelerator-lowering-fma.f64
4 616×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
14220
230620
3272020
0905616
067400
1180400
2389400
31353400
44014370
56856370
08132300
02502399
17552322
220462274
365592271
081642105
030118
1197112
21793112
0876799
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 321 to 188 computations (41.4% saved)

preprocess80.0ms (0.8%)

Memory
12.9MiB live, 209.9MiB allocated
Compiler

Compiled 370 to 174 computations (53% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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