Logistic regression 2

Time bar (total: 8.4s)

analyze71.0ms (0.8%)

Memory
9.0MiB live, 83.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.1s (13.7%)

Memory
28.0MiB live, 1 604.9MiB allocated
Samples
549.0ms8 256×0valid
209.0ms2 657×1exit
Precisions
Click to see histograms. Total time spent on operations: 461.0ms
ival-exp: 143.0ms (31% of total)
ival-log1p: 117.0ms (25.4% of total)
ival-mult: 99.0ms (21.5% of total)
ival-sub: 47.0ms (10.2% of total)
adjust: 43.0ms (9.3% of total)
ival-true: 8.0ms (1.7% of total)
ival-assert: 4.0ms (0.9% of total)
Bogosity

preprocess35.0ms (0.4%)

Memory
5.6MiB live, 43.0MiB allocated
Algorithm
egg-herbie
Rules
148×lower-fma.f64
148×lower-fma.f32
108×lower-*.f32
106×lower-*.f64
78×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02251
15849
211349
322749
431149
542949
648349
751549
851849
089
0139
1229
2339
3459
4609
5849
61239
71609
82059
92319
102559
112649
02647
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

explain106.0ms (1.3%)

Memory
-11.6MiB live, 188.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
279(-4.496623463051944e+108 1.3659581812140052e+129)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)))sensitivity790
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))oflow-rescue20
(exp.f64 x)overflow2
(+.f64 #s(literal 1 binary64) (exp.f64 x))overflow2
Confusion
Predicted +Predicted -
+20
-79175
Precision
0.024691358024691357
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-790175
Precision?
0.024691358024691357
Recall?
1.0
Freqs
test
numberfreq
0175
181
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 78 to 36 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log1p: 6.0ms (31.4% of total)
ival-exp: 4.0ms (20.9% of total)
ival-mult: 4.0ms (20.9% of total)
ival-sub: 2.0ms (10.5% of total)
ival-add: 2.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify15.0ms (0.2%)

Memory
-10.0MiB live, 28.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
01326
12226
23326
34526
46026
58426
612326
716026
820526
923126
1025526
1126426
026422
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y

localize26.0ms (0.3%)

Memory
11.6MiB live, 49.5MiB 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))
accuracy99.2%
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
Samples
16.0ms256×0valid
Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log1p: 3.0ms (33.9% of total)
ival-exp: 2.0ms (22.6% of total)
ival-mult: 2.0ms (22.6% of total)
ival-sub: 1.0ms (11.3% of total)
ival-add: 1.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series65.0ms (0.8%)

Memory
-13.6MiB live, 84.0MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 x))>
#<alt (exp.f64 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
31.0ms
x
@-inf
(log (+ 1 (exp x)))
28.0ms
x
@inf
(log (+ 1 (exp x)))
3.0ms
y
@0
(- (log (+ 1 (exp x))) (* x y))
0.0ms
x
@0
(log (+ 1 (exp x)))
0.0ms
x
@inf
(- (log (+ 1 (exp x))) (* x y))

rewrite350.0ms (4.2%)

Memory
14.5MiB live, 430.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 436×lower-/.f64
4 436×lower-/.f32
3 924×lower-*.f32
3 922×lower-*.f64
3 690×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
01320
14720
231120
3271820
0905116
Stop Event
iter limit
node limit
iter limit
Counts
4 → 359
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 x)
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))))
(+.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(+.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 (neg.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))) (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 3 binary64))))) (log1p.f64 (*.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (exp.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 9 binary64)))) (log.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x 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 (exp.f64 (+.f64 x 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 x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 x 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 (exp.f64 (+.f64 x 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 x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))))) (log.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (log.f64 (neg.f64 (expm1.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64)) (*.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64))))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))) (log1p.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))) (log1p.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(-.f64 (log.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))))) (log1p.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
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(/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) (exp.f64 (+.f64 x x)))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
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(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (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 x))))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))))
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(/.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 (exp.f64 (+.f64 x 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 x)) (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 x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64)) (*.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))) (neg.f64 (-.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 (exp.f64 (+.f64 x 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 (exp.f64 (+.f64 x 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 x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x 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 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x 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 (exp.f64 (+.f64 x 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 x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(exp.f64 x)
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))

simplify285.0ms (3.4%)

Memory
29.5MiB live, 430.0MiB allocated
Algorithm
egg-herbie
Rules
11 474×lower-fma.f64
11 474×lower-fma.f32
2 426×lower-*.f64
2 426×lower-*.f32
1 772×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval59.0ms (0.7%)

Memory
-9.7MiB live, 145.9MiB allocated
Compiler

Compiled 15 047 to 1 438 computations (90.4% saved)

prune84.0ms (1%)

Memory
-5.9MiB live, 115.6MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4145419
Fresh000
Picked101
Done000
Total4155420
Accuracy
99.7%
Counts
420 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.2%
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
90.1%
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
49.8%
(*.f64 x (neg.f64 y))
51.8%
(log1p.f64 (exp.f64 x))
51.4%
(log.f64 #s(literal 2 binary64))
Compiler

Compiled 64 to 50 computations (21.9% saved)

simplify28.0ms (0.3%)

Memory
12.4MiB live, 50.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 x)
cost-diff0
(log1p.f64 (exp.f64 x))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 x (neg.f64 y))
cost-diff0
(*.f64 x y)
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
Rules
532×lower-fma.f32
530×lower-fma.f64
220×lower-*.f32
216×lower-*.f64
140×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01347
02547
14147
25747
38747
412747
518347
629347
741447
851647
958947
1060047
060047
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
x
y
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
Outputs
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
x
y
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x

localize73.0ms (0.9%)

Memory
-33.6MiB live, 104.7MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 x)
accuracy99.2%
(log1p.f64 (exp.f64 x))
accuracy100.0%
(-.f64 #s(literal 1/2 binary64) y)
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(*.f64 x (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
Samples
31.0ms256×0valid
Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 6.0ms (30.2% of total)
ival-mult: 5.0ms (25.2% of total)
ival-exp: 2.0ms (10.1% of total)
ival-sub: 2.0ms (10.1% of total)
ival-log1p: 2.0ms (10.1% of total)
ival-add: 1.0ms (5% of total)
ival-neg: 1.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated
Counts
9 → 144
Calls
Call 1
Inputs
#<alt (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))>
#<alt (-.f64 #s(literal 1/2 binary64) y)>
#<alt (log1p.f64 (exp.f64 x))>
#<alt (exp.f64 x)>
Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log 2) x) y))>
#<alt (* x (- (/ (log 2) x) y))>
#<alt (* x (- (/ (log 2) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log 2) y) x))>
#<alt (* y (- (/ (log 2) y) x))>
#<alt (* y (- (/ (log 2) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- 1/2 y))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 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)>
Calls

36 calls:

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

rewrite383.0ms (4.6%)

Memory
-5.8MiB live, 461.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 240×lower-fma.f32
5 238×lower-fma.f64
4 308×lower-*.f32
4 304×lower-*.f64
2 660×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
02532
19032
258732
3620532
0819932
Stop Event
iter limit
node limit
iter limit
Counts
9 → 345
Calls
Call 1
Inputs
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(log.f64 #s(literal 2 binary64))
(*.f64 x y)
(*.f64 x (neg.f64 y))
(neg.f64 y)
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (log.f64 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64))))
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(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (log.f64 (neg.f64 (expm1.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 3 binary64)))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))))
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) (log1p.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) (log1p.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(-.f64 (log.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))))) (log1p.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
(-.f64 (log.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))))) (log1p.f64 (exp.f64 (+.f64 x x))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 (exp.f64 x))) (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 0 binary64))
(neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) (*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 x))) (log1p.f64 (neg.f64 (exp.f64 x))) (*.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x)))))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x))))) (*.f64 (log1p.f64 (neg.f64 (exp.f64 x))) (log1p.f64 (neg.f64 (exp.f64 x))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 x)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))

simplify296.0ms (3.5%)

Memory
-13.5MiB live, 348.2MiB allocated
Algorithm
egg-herbie
Rules
8 664×lower-fma.f64
8 664×lower-fma.f32
2 156×lower-*.f64
2 156×lower-*.f32
1 266×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085656
1251638
2616638
32161638
46032638
57754638
08089592
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(log 2)
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(* -1 (* x y))
(* x (- (/ (log 2) x) y))
(* x (- (/ (log 2) x) y))
(* x (- (/ (log 2) x) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(log 2)
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log 2) y) x))
(* y (- (/ (log 2) y) x))
(* y (- (/ (log 2) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(log 2)
(+ (log 2) (* 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)
Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (- (/ (log 2) x) y))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* x (- (/ (log 2) x) y))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* x (- (/ (log 2) x) y))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (- (/ (log 2) y) x))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* y (- (/ (log 2) y) x))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* y (- (/ (log 2) y) x))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)

eval92.0ms (1.1%)

Memory
18.8MiB live, 90.8MiB allocated
Compiler

Compiled 10 357 to 1 068 computations (89.7% saved)

prune100.0ms (1.2%)

Memory
1.3MiB live, 120.9MiB allocated
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New48013493
Fresh000
Picked235
Done000
Total48216498
Accuracy
99.7%
Counts
498 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.1%
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
51.9%
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
29.7%
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
1.1%
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y))
26.9%
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) y)
0.9%
(/.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
28.8%
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
28.7%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))))
1.5%
(*.f64 x (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y)))
35.9%
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
28.7%
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y)))
49.8%
(*.f64 x (neg.f64 y))
50.7%
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
51.8%
(log1p.f64 (exp.f64 x))
51.4%
(log.f64 #s(literal 2 binary64))
63.7%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
Compiler

Compiled 327 to 210 computations (35.8% saved)

simplify547.0ms (6.5%)

Memory
0.4MiB live, 493.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff0
(*.f64 y (neg.f64 y))
cost-diff0
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))))
cost-diff448
(/.f64 y (*.f64 y (neg.f64 y)))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y))))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y)))
cost-diff320
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y))
cost-diff1024
(/.f64 #s(literal 0 binary64) (*.f64 y y))
cost-diff0
(-.f64 #s(literal 1/2 binary64) y)
cost-diff0
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
Rules
13 424×lower-fma.f32
13 422×lower-fma.f64
3 822×lower-*.f32
3 812×lower-*.f64
1 986×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02197
03876
16865
213864
339264
4134964
5247364
6341364
7457264
8536064
9624864
10663864
0812764
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
(neg.f64 y)
y
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 x (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y)))
x
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y))
(/.f64 #s(literal 0 binary64) (*.f64 y y))
#s(literal 0 binary64)
(*.f64 y y)
y
(neg.f64 y)
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))))
x
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y))))
#s(literal 1 binary64)
(/.f64 y (*.f64 y (neg.f64 y)))
y
(*.f64 y (neg.f64 y))
(neg.f64 y)
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
Outputs
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 y (neg.f64 x) (log.f64 #s(literal 2 binary64)))
(neg.f64 y)
y
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 x (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y)))
(*.f64 y x)
x
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y))
y
(/.f64 #s(literal 0 binary64) (*.f64 y y))
#s(literal 0 binary64)
#s(literal 0 binary64)
(*.f64 y y)
y
(neg.f64 y)
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))))
(*.f64 (neg.f64 y) x)
x
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y))))
(neg.f64 y)
#s(literal 1 binary64)
(/.f64 y (*.f64 y (neg.f64 y)))
(/.f64 #s(literal -1 binary64) y)
y
(*.f64 y (neg.f64 y))
(neg.f64 y)
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
(log.f64 (+.f64 x #s(literal 2 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)

localize122.0ms (1.4%)

Memory
-0.5MiB live, 116.2MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
accuracy100.0%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))))
accuracy100.0%
(neg.f64 y)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y))))
accuracy67.4%
(/.f64 y (*.f64 y (neg.f64 y)))
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 x (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y)))
accuracy100.0%
(neg.f64 y)
accuracy83.9%
(/.f64 #s(literal 0 binary64) (*.f64 y y))
accuracy100.0%
(-.f64 #s(literal 1/2 binary64) y)
accuracy100.0%
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
accuracy100.0%
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(log.f64 #s(literal 2 binary64))
Samples
56.0ms79×0invalid
32.0ms177×0valid
Compiler

Compiled 102 to 24 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-div: 48.0ms (68.9% of total)
ival-mult: 9.0ms (12.9% of total)
ival-log: 3.0ms (4.3% of total)
ival-log1p: 3.0ms (4.3% of total)
ival-add: 2.0ms (2.9% of total)
ival-sub: 2.0ms (2.9% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
15 → 216
Calls
Call 1
Inputs
#<alt (fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))>
#<alt (neg.f64 y)>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 #s(literal 0 binary64) (*.f64 y y))>
#<alt (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y)))>
#<alt (*.f64 y y)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y))))>
#<alt (/.f64 y (*.f64 y (neg.f64 y)))>
#<alt (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))))>
#<alt (*.f64 y (neg.f64 y))>
#<alt (log1p.f64 (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ (log 2) y)))>
#<alt (* y (+ (* -1 x) (/ (log 2) y)))>
#<alt (* y (+ (* -1 x) (/ (log 2) y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (log 2) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (log 2) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (log 2) y)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ (log 2) x)))>
#<alt (* x (+ (* -1 y) (/ (log 2) x)))>
#<alt (* x (+ (* -1 y) (/ (log 2) x)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (+ y (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (log 2) x)))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (* 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 (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 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 (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)))>
Calls

54 calls:

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

rewrite84.0ms (1%)

Memory
2.8MiB live, 76.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
412×lower-*.f32
402×lower-*.f64
376×lower-/.f32
372×lower-/.f64
366×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02179
03859
115446
099746
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
15 → 270
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
(neg.f64 y)
(log.f64 #s(literal 2 binary64))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(-.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 0 binary64) (*.f64 y y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y))
(*.f64 x (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y)))
(*.f64 y y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y))))
(/.f64 y (*.f64 y (neg.f64 y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))))
(*.f64 y (neg.f64 y))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 (neg.f64 y) x) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (*.f64 (neg.f64 y) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) x) (log.f64 #s(literal 2 binary64)))))
(fma.f64 y (neg.f64 x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y (neg.f64 y)) x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 x y) (*.f64 y (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal -1 binary64)) y (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (*.f64 y (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 x (neg.f64 y)) (*.f64 y y) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)) (*.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 y) x) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)) (*.f64 (*.f64 y y) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (neg.f64 y) (*.f64 x (log.f64 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 y) x) (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)) (*.f64 (*.f64 y y) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (neg.f64 y) x) (log.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (*.f64 x x))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)))
(*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)) (*.f64 (*.f64 y y) (*.f64 x x)))))
(*.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 y) x) (log.f64 #s(literal 2 binary64)))))
(+.f64 (neg.f64 y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) y)
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 y (/.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) y) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) y #s(literal 0 binary64))
(neg.f64 y)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 y (neg.f64 y)) y)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))) y)
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y (/.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) y) (neg.f64 y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) y)
(log.f64 #s(literal 2 binary64))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 y) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 y) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (+.f64 y #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(+.f64 (neg.f64 y) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 y))
(-.f64 #s(literal 1/2 binary64) y)
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 y #s(literal -1 binary64) #s(literal 1/2 binary64))
(fma.f64 y (/.f64 (neg.f64 y) y) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (neg.f64 y)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) y) (neg.f64 y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) y #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 y #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
#s(literal 0 binary64)
y
(+.f64 y #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y)))
(fma.f64 #s(literal 1 binary64) y #s(literal 0 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(neg.f64 (neg.f64 y))
(/.f64 (*.f64 y y) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (neg.f64 (neg.f64 (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 y (neg.f64 y)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 y y))))) (*.f64 y (neg.f64 y)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (neg.f64 y))
(*.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(+.f64 (*.f64 x #s(literal 0 binary64)) (*.f64 y x))
(+.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 y x))
(fma.f64 x #s(literal 0 binary64) (*.f64 y x))
(fma.f64 #s(literal 0 binary64) x (*.f64 y x))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) (neg.f64 y))
(/.f64 (*.f64 x (neg.f64 (neg.f64 (*.f64 y (*.f64 y y))))) (*.f64 y y))
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 y y)))) x) (*.f64 y y))
(*.f64 y x)
(*.f64 x y)
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 y)))
(fma.f64 y y #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) y #s(literal 0 binary64))
(neg.f64 (*.f64 y (neg.f64 y)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 y y) (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 0 binary64)) (-.f64 (*.f64 y y) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y (neg.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 y)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) y)
(+.f64 (neg.f64 y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) y)
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 y (/.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) y) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) y #s(literal 0 binary64))
(neg.f64 y)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 y (neg.f64 y)) y)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))) y)
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y (/.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) y) (neg.f64 y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) y)
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))
(neg.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 y (*.f64 y (neg.f64 y)))
(/.f64 y (*.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))))
(/.f64 (neg.f64 y) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (neg.f64 y)))
(/.f64 (/.f64 y (neg.f64 y)) y)
(pow.f64 (neg.f64 y) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 y (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(neg.f64 (*.f64 y x))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 y (neg.f64 x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y (neg.f64 y)) x))
(*.f64 (/.f64 x y) (*.f64 y (neg.f64 y)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 (*.f64 x #s(literal -1 binary64)) y)
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (*.f64 y (neg.f64 y)))
(*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (neg.f64 y))
(+.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(neg.f64 (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (*.f64 y y) (*.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y y))
(*.f64 y (neg.f64 y))
(*.f64 (neg.f64 y) y)
(*.f64 #s(literal -1 binary64) (*.f64 y y))
(log.f64 (+.f64 x #s(literal 2 binary64)))
(-.f64 (log1p.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (log1p.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))

simplify341.0ms (4.1%)

Memory
0.3MiB live, 558.0MiB allocated
Algorithm
egg-herbie
Rules
10 194×lower-fma.f64
10 194×lower-fma.f32
2 262×lower--.f64
2 262×lower--.f32
2 170×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105821
1302789
2696784
31728782
44314778
57296778
08031772
Stop Event
iter limit
node limit
Counts
216 → 202
Calls
Call 1
Inputs
(log 2)
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (log 2) y)))
(* y (+ (* -1 x) (/ (log 2) y)))
(* y (+ (* -1 x) (/ (log 2) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(log 2)
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (log 2) x)))
(* x (+ (* -1 y) (/ (log 2) x)))
(* x (+ (* -1 y) (/ (log 2) x)))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
0
0
0
0
0
0
0
0
0
0
0
0
y
y
y
y
y
y
y
y
y
y
y
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)
(* x y)
(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 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))
(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)))
Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (/ (log 2) y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* y (+ (* -1 x) (/ (log 2) y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* y (+ (* -1 x) (/ (log 2) y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (+ (* -1 y) (/ (log 2) x)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* x (+ (* -1 y) (/ (log 2) x)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* x (+ (* -1 y) (/ (log 2) x)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
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)
y
y
y
y
y
y
y
y
y
y
y
y
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x 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 2)
(*.f64 y y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* -1/8 x))))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (- (* 1/24 x) 1/8)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x)))
(+.f64 (log.f64 x) (/.f64 #s(literal 2 binary64) x))
(- (+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 8/3 (/ 1 (pow x 3))))) (/ 2 (pow x 2)))
(-.f64 (log.f64 x) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8/3 binary64) x)) x) #s(literal -2 binary64)) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* 2 (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 2 (/ 1 x)) 2) x))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 x)) 2) x)) 2) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) x) #s(literal -2 binary64)) x)) x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

eval66.0ms (0.8%)

Memory
-8.1MiB live, 184.4MiB allocated
Compiler

Compiled 5 528 to 927 computations (83.2% saved)

prune86.0ms (1%)

Memory
-1.5MiB live, 138.9MiB allocated
Pruning

27 alts after pruning (20 fresh and 7 done)

PrunedKeptTotal
New56214576
Fresh268
Picked145
Done033
Total56527592
Accuracy
99.7%
Counts
592 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.1%
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
51.9%
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
27.6%
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
9.4%
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
29.7%
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
1.1%
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y))
2.1%
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) (neg.f64 y))
26.9%
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) y)
0.9%
(/.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
49.7%
(/.f64 x (/.f64 #s(literal -1 binary64) y))
49.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
27.7%
(*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y))
26.8%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y (neg.f64 y)) x))
2.2%
(*.f64 y x)
23.1%
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y) #s(literal 1/2 binary64)))
28.2%
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
28.7%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))))
23.1%
(*.f64 x (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1/2 binary64)))))
35.9%
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
28.7%
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
2.1%
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)))
49.8%
(*.f64 x (neg.f64 y))
3.8%
(*.f64 x #s(literal 1/2 binary64))
50.7%
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
51.8%
(log1p.f64 (exp.f64 x))
51.4%
(log.f64 #s(literal 2 binary64))
63.7%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
Compiler

Compiled 532 to 342 computations (35.7% saved)

simplify171.0ms (2%)

Memory
18.1MiB live, 330.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x (neg.f64 y)) x)
cost-diff0
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y)
cost-diff192
(+.f64 #s(literal 0 binary64) (*.f64 x y))
cost-diff1664
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 y (neg.f64 y))
cost-diff0
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)))
cost-diff1472
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 y (neg.f64 y))
cost-diff0
(*.f64 (*.f64 y (neg.f64 y)) x)
cost-diff1024
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) y)
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
cost-diff448
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
cost-diff576
(log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
cost-diff12800
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
Rules
4 294×lower-*.f32
4 276×lower-*.f64
3 658×lower-fma.f32
3 656×lower-fma.f64
1 624×cube-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028164
050167
191163
2231135
3800123
42149123
53834123
66485123
08009123
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
#s(literal 1 binary64)
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) y)
(*.f64 (*.f64 y (neg.f64 y)) x)
(*.f64 y (neg.f64 y))
y
(neg.f64 y)
x
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)))
x
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 y (neg.f64 y))
y
(neg.f64 y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y)
(*.f64 (*.f64 x (neg.f64 y)) x)
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
(+.f64 #s(literal 0 binary64) (*.f64 x y))
#s(literal 0 binary64)
(*.f64 x y)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(log.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(neg.f64 (log.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
#s(literal 1 binary64)
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) y)
(*.f64 x (neg.f64 y))
(*.f64 (*.f64 y (neg.f64 y)) x)
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 y (neg.f64 y))
(neg.f64 (*.f64 y y))
y
(neg.f64 y)
x
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x y)
x
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y))
y
(*.f64 y (neg.f64 y))
(neg.f64 (*.f64 y y))
y
(neg.f64 y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x (neg.f64 y))
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y)
(*.f64 x (*.f64 y (*.f64 x (neg.f64 y))))
(*.f64 (*.f64 x (neg.f64 y)) x)
(*.f64 x (*.f64 x (neg.f64 y)))
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x y)
#s(literal 0 binary64)
(*.f64 x y)

localize90.0ms (1.1%)

Memory
-6.1MiB live, 193.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 y)
accuracy99.9%
(*.f64 (*.f64 x (neg.f64 y)) x)
accuracy96.0%
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y)
accuracy62.4%
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
accuracy100.0%
(*.f64 y (neg.f64 y))
accuracy100.0%
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)))
accuracy100.0%
(neg.f64 y)
accuracy69.9%
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y))
accuracy100.0%
(*.f64 y (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy92.6%
(*.f64 (*.f64 y (neg.f64 y)) x)
accuracy87.0%
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) y)
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
accuracy99.1%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
accuracy95.8%
(log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
Samples
35.0ms167×0valid
20.0ms89×0invalid
Compiler

Compiled 171 to 31 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 16.0ms (41.7% of total)
ival-div: 9.0ms (23.5% of total)
ival-log: 6.0ms (15.7% of total)
ival-add: 2.0ms (5.2% of total)
ival-exp: 2.0ms (5.2% of total)
ival-sub: 2.0ms (5.2% of total)
exact: 1.0ms (2.6% of total)
ival-neg: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
10.0MiB live, 48.7MiB allocated
Counts
16 → 312
Calls
Call 1
Inputs
#<alt (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))>
#<alt (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) y)>
#<alt (*.f64 (*.f64 y (neg.f64 y)) x)>
#<alt (*.f64 y (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)))>
#<alt (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))>
#<alt (+.f64 #s(literal 0 binary64) (*.f64 x y))>
#<alt (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y)>
#<alt (*.f64 (*.f64 x (neg.f64 y)) x)>
#<alt (log.f64 #s(literal 2 binary64))>
Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- 1/2 y))>
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#<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 (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
Calls

78 calls:

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

rewrite316.0ms (3.8%)

Memory
-33.5MiB live, 602.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 638×lower-fma.f32
6 636×lower-fma.f64
4 782×lower-*.f32
4 764×lower-*.f64
3 424×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028120
050115
115989
297477
0843177
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 802
Calls
Call 1
Inputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) y)
(*.f64 (*.f64 y (neg.f64 y)) x)
(*.f64 y (neg.f64 y))
(neg.f64 y)
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y)
(*.f64 (*.f64 x (neg.f64 y)) x)
(log.f64 #s(literal 2 binary64))
Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))))
(+.f64 (neg.f64 (log.f64 #s(literal 1/2 binary64))) (neg.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (neg.f64 (log.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (*.f64 x y)))
(exp.f64 (log.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (neg.f64 (log.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))))
(-.f64 #s(literal 0 binary64) (-.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(-.f64 (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))))
(fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(neg.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))) (fma.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(/.f64 (fma.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (fma.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 (*.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (exp.f64 (log.f64 (fma.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))))) (exp.f64 (log.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) (*.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))))
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(fma.f64 (*.f64 x y) (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 y (*.f64 x (*.f64 x y))) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 y (*.f64 x (*.f64 x y))) (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) x) #s(literal 0 binary64))
(fma.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) x) #s(literal 0 binary64))
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(fma.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (*.f64 x (*.f64 x y))) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (*.f64 x (*.f64 x y))) x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (*.f64 x y) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (/.f64 y x) (*.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 y x) (*.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y)) x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y)) (*.f64 (/.f64 y x) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y)) (*.f64 (/.f64 y x) x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 x y)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 x y)) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x y) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (neg.f64 y) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x y))))
(fma.f64 (*.f64 x (*.f64 x y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x y)) #s(literal -1 binary64) (*.f64 x #s(literal 0 binary64)))
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(fma.f64 (*.f64 x (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 x (neg.f64 (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal -1 binary64) (*.f64 x y)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 x (neg.f64 x)) y #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) y (*.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 x (/.f64 y x)) (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (/.f64 y x)) (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y)) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 x (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y))) (/.f64 y x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y))) (/.f64 y x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -1 binary64))) y #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x #s(literal -1 binary64))) y (*.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) y #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) y (*.f64 x #s(literal 0 binary64)))
(neg.f64 (*.f64 x (*.f64 x y)))
(neg.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y))
(neg.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) (neg.f64 y)))
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(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)))
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(/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 y))
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(/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 x (*.f64 x y)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (*.f64 x y))
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) x) (neg.f64 (*.f64 x y)))
(/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) x) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))))
(/.f64 (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))))
(/.f64 (*.f64 x (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 x y))
(/.f64 (*.f64 x (neg.f64 (*.f64 x (*.f64 x y)))) x)
(/.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x y)))) (neg.f64 (*.f64 x y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x y))) x) x)
(/.f64 (*.f64 x (neg.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))))) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) x) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 x x)) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x y))))
(*.f64 x (neg.f64 (*.f64 x y)))
(*.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 y (*.f64 (neg.f64 x) x))
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(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x y)))
(*.f64 (neg.f64 y) (*.f64 x x))
(*.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal 1 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y (*.f64 x (*.f64 x y))))
(*.f64 (neg.f64 (*.f64 x y)) x)
(*.f64 (neg.f64 (*.f64 x y)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 x (*.f64 x y))) #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 x (*.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (*.f64 x y) (neg.f64 x))
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(*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x))
(*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (*.f64 x (*.f64 x y))) x))
(*.f64 (neg.f64 x) (*.f64 x y))
(*.f64 (/.f64 y x) (*.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y)) x))
(*.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y)) (*.f64 (/.f64 y x) x))
(*.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 x y)))
(*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x y))
(*.f64 (*.f64 x x) (neg.f64 y))
(*.f64 (*.f64 x (*.f64 x y)) #s(literal -1 binary64))
(*.f64 (*.f64 x (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (*.f64 x (neg.f64 (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 (*.f64 x (neg.f64 x)) y)
(*.f64 (*.f64 x (/.f64 y x)) (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y)))
(*.f64 (*.f64 x (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y))) (/.f64 y x))
(*.f64 (*.f64 x (*.f64 x #s(literal -1 binary64))) y)
(*.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) y)
(log.f64 #s(literal 2 binary64))

simplify452.0ms (5.4%)

Memory
33.1MiB live, 623.9MiB allocated
Algorithm
egg-herbie
Rules
10 222×lower-fma.f64
10 222×lower-fma.f32
6 442×lower-*.f64
6 442×lower-*.f32
2 704×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04604194
114703970
254853870
081593730
Stop Event
iter limit
node limit
Counts
312 → 300
Calls
Call 1
Inputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(log (/ 1 (log 2)))
(+ (log (/ 1 (log 2))) (* x (* (log 2) (- (/ y (pow (log 2) 2)) (* 1/2 (/ 1 (pow (log 2) 2)))))))
(+ (log (/ 1 (log 2))) (* x (+ (* 1/2 (* x (+ (* -2 (* (- 1/2 y) (- (/ y (pow (log 2) 2)) (* 1/2 (/ 1 (pow (log 2) 2)))))) (* -1 (* (pow (log 2) 2) (pow (- (/ y (pow (log 2) 2)) (* 1/2 (/ 1 (pow (log 2) 2)))) 2)))))) (* (log 2) (- (/ y (pow (log 2) 2)) (* 1/2 (/ 1 (pow (log 2) 2))))))))
(+ (log (/ 1 (log 2))) (* x (+ (* x (+ (* 1/6 (* x (+ (* 2 (* (pow (log 2) 3) (pow (- (/ y (pow (log 2) 2)) (* 1/2 (/ 1 (pow (log 2) 2)))) 3))) (+ (* 6 (* (log 2) (* (- 1/2 y) (pow (- (/ y (pow (log 2) 2)) (* 1/2 (/ 1 (pow (log 2) 2)))) 2)))) (* 6 (/ (* (pow (- 1/2 y) 2) (- (/ y (pow (log 2) 2)) (* 1/2 (/ 1 (pow (log 2) 2))))) (log 2))))))) (* 1/2 (+ (* -2 (* (- 1/2 y) (- (/ y (pow (log 2) 2)) (* 1/2 (/ 1 (pow (log 2) 2)))))) (* -1 (* (pow (log 2) 2) (pow (- (/ y (pow (log 2) 2)) (* 1/2 (/ 1 (pow (log 2) 2)))) 2))))))) (* (log 2) (- (/ y (pow (log 2) 2)) (* 1/2 (/ 1 (pow (log 2) 2))))))))
(+ (log (/ 1 x)) (log (/ 1 (- 1/2 y))))
(+ (log (/ 1 x)) (+ (log (/ 1 (- 1/2 y))) (* -1 (/ (log 2) (* x (- 1/2 y))))))
(+ (log (/ 1 x)) (+ (log (/ 1 (- 1/2 y))) (+ (* -1 (/ (log 2) (* x (- 1/2 y)))) (* 1/2 (/ (+ (* -1 (/ (pow (log 2) 2) (pow (- 1/2 y) 2))) (* 2 (/ (pow (log 2) 2) (pow (- 1/2 y) 2)))) (pow x 2))))))
(+ (log (/ 1 x)) (+ (log (/ 1 (- 1/2 y))) (+ (* -1 (/ (log 2) (* x (- 1/2 y)))) (+ (* 1/6 (/ (+ (* -6 (/ (pow (log 2) 3) (pow (- 1/2 y) 3))) (+ (* -2 (/ (pow (log 2) 3) (pow (- 1/2 y) 3))) (* 6 (/ (pow (log 2) 3) (pow (- 1/2 y) 3))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (/ (pow (log 2) 2) (pow (- 1/2 y) 2))) (* 2 (/ (pow (log 2) 2) (pow (- 1/2 y) 2)))) (pow x 2)))))))
(+ (log (/ -1 x)) (log (/ -1 (- 1/2 y))))
(+ (log (/ -1 x)) (+ (log (/ -1 (- 1/2 y))) (* -1 (/ (log 2) (* x (- 1/2 y))))))
(+ (log (/ -1 x)) (+ (log (/ -1 (- 1/2 y))) (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (pow (log 2) 2) (pow (- 1/2 y) 2))) (* 2 (/ (pow (log 2) 2) (pow (- 1/2 y) 2)))) x)) (/ (log 2) (- 1/2 y))) x))))
(+ (log (/ -1 x)) (+ (log (/ -1 (- 1/2 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (pow (log 2) 3) (pow (- 1/2 y) 3))) (+ (* 2 (/ (pow (log 2) 3) (pow (- 1/2 y) 3))) (* 6 (/ (pow (log 2) 3) (pow (- 1/2 y) 3))))) x)) (* 1/2 (+ (* -1 (/ (pow (log 2) 2) (pow (- 1/2 y) 2))) (* 2 (/ (pow (log 2) 2) (pow (- 1/2 y) 2)))))) x)) (/ (log 2) (- 1/2 y))) x))))
(log (/ 1 (+ (log 2) (* 1/2 x))))
(+ (log (/ 1 (+ (log 2) (* 1/2 x)))) (/ (* x y) (+ (log 2) (* 1/2 x))))
(+ (log (/ 1 (+ (log 2) (* 1/2 x)))) (* y (+ (* 1/2 (* y (+ (* -1 (/ (pow x 2) (pow (+ (log 2) (* 1/2 x)) 2))) (* 2 (/ (pow x 2) (pow (+ (log 2) (* 1/2 x)) 2)))))) (/ x (+ (log 2) (* 1/2 x))))))
(+ (log (/ 1 (+ (log 2) (* 1/2 x)))) (* y (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow x 3) (pow (+ (log 2) (* 1/2 x)) 3))) (+ (* 2 (/ (pow x 3) (pow (+ (log 2) (* 1/2 x)) 3))) (* 6 (/ (pow x 3) (pow (+ (log 2) (* 1/2 x)) 3))))))) (* 1/2 (+ (* -1 (/ (pow x 2) (pow (+ (log 2) (* 1/2 x)) 2))) (* 2 (/ (pow x 2) (pow (+ (log 2) (* 1/2 x)) 2))))))) (/ x (+ (log 2) (* 1/2 x))))))
(+ (log (/ -1 x)) (log (/ 1 y)))
(+ (log (/ -1 x)) (+ (log (/ 1 y)) (/ (* x (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) y)))
(+ (log (/ -1 x)) (+ (log (/ 1 y)) (+ (* 1/2 (/ (+ (* -1 (* (pow x 2) (pow (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2))) 2))) (* 2 (* (+ (log 2) (* 1/2 x)) (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))))) (pow y 2))) (/ (* x (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) y))))
(+ (log (/ -1 x)) (+ (log (/ 1 y)) (+ (* 1/6 (/ (+ (* -6 (* x (* (+ (log 2) (* 1/2 x)) (pow (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2))) 2)))) (+ (* 2 (* (pow x 3) (pow (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2))) 3))) (* 6 (/ (* (pow (+ (log 2) (* 1/2 x)) 2) (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) x)))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* (pow x 2) (pow (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2))) 2))) (* 2 (* (+ (log 2) (* 1/2 x)) (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))))) (pow y 2))) (/ (* x (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) y)))))
(+ (log (/ -1 y)) (log (/ 1 x)))
(+ (log (/ -1 y)) (+ (log (/ 1 x)) (/ (* x (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) y)))
(+ (log (/ -1 y)) (+ (log (/ 1 x)) (* -1 (/ (+ (* -1 (* x (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2))))) (* -1/2 (/ (+ (* -1 (* (pow x 2) (pow (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2))) 2))) (* 2 (* (+ (log 2) (* 1/2 x)) (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))))) y))) y))))
(+ (log (/ -1 y)) (+ (log (/ 1 x)) (* -1 (/ (+ (* -1 (* x (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2))))) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (pow (+ (log 2) (* 1/2 x)) 2) (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) x)) (+ (* -2 (* (pow x 3) (pow (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2))) 3))) (* 6 (* x (* (+ (log 2) (* 1/2 x)) (pow (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2))) 2)))))) y)) (* 1/2 (+ (* -1 (* (pow x 2) (pow (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2))) 2))) (* 2 (* (+ (log 2) (* 1/2 x)) (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))))))) y))) y))))
(* -1 (log (/ 1 (log 2))))
(+ (* -1 (log (/ 1 (log 2)))) (* -1 (* x (* (log 2) (- (/ y (pow (log 2) 2)) (* 1/2 (/ 1 (pow (log 2) 2))))))))
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(/ 1 (log 2))
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(* -1 (/ (- (/ (log 2) (* x (pow (- 1/2 y) 2))) (/ 1 (- 1/2 y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (log 2) 2) (* x (pow (- 1/2 y) 3))) (/ (log 2) (pow (- 1/2 y) 2))) x)) (/ 1 (- 1/2 y))) x))
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(* 1/2 x)
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Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 x (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 x (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 x (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(*.f64 x (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(*.f64 x (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(*.f64 x (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(+ (log 2) (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(*.f64 y (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(*.f64 y (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
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(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(*.f64 (-.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(*.f64 (-.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(*.f64 (-.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y))
(log (/ 1 (log 2)))
(neg.f64 (log.f64 (log.f64 #s(literal 2 binary64))))
(+ (log (/ 1 (log 2))) (* x (* (log 2) (- (/ y (pow (log 2) 2)) (* 1/2 (/ 1 (pow (log 2) 2)))))))
(fma.f64 (-.f64 (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (log.f64 #s(literal 2 binary64)) x) (neg.f64 (log.f64 (log.f64 #s(literal 2 binary64)))))
(+ (log (/ 1 (log 2))) (* x (+ (* 1/2 (* x (+ (* -2 (* (- 1/2 y) (- (/ y (pow (log 2) 2)) (* 1/2 (/ 1 (pow (log 2) 2)))))) (* -1 (* (pow (log 2) 2) (pow (- (/ y (pow (log 2) 2)) (* 1/2 (/ 1 (pow (log 2) 2)))) 2)))))) (* (log 2) (- (/ y (pow (log 2) 2)) (* 1/2 (/ 1 (pow (log 2) 2))))))))
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(*.f64 x (*.f64 x (*.f64 y (neg.f64 y))))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 x (*.f64 x (*.f64 y (neg.f64 y))))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 x (*.f64 x (*.f64 y (neg.f64 y))))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))
(* -1 (* (pow x 2) y))
(*.f64 x (*.f64 x (neg.f64 y)))

eval302.0ms (3.6%)

Memory
19.6MiB live, 656.6MiB allocated
Compiler

Compiled 40 936 to 4 024 computations (90.2% saved)

prune355.0ms (4.2%)

Memory
-6.0MiB live, 656.2MiB allocated
Pruning

64 alts after pruning (55 fresh and 9 done)

PrunedKeptTotal
New2 228452 273
Fresh51015
Picked325
Done077
Total2 236642 300
Accuracy
99.7%
Counts
2 300 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.1%
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
51.9%
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
13.9%
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (neg.f64 (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
23.2%
(/.f64 (/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 y y))) y) y)
32.9%
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y)
39.7%
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) (neg.f64 x))
10.9%
(/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) x) (neg.f64 (*.f64 x (*.f64 y y))))
34.8%
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
10.4%
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (*.f64 y y)) (*.f64 x x))
34.9%
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x y))) y)
24.9%
(/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x y))) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
17.4%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) y)) y)
9.4%
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
27.2%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) x)) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
29.4%
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x y)))) (neg.f64 (*.f64 x y)))) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
28.5%
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) x))
7.0%
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))))
29.7%
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 y x))
17.0%
(/.f64 (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) x) y)
1.1%
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y))
22.8%
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) y)) y)
10.8%
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))))
26.9%
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) y)
31.1%
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
11.2%
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) x) (fma.f64 y y #s(literal 0 binary64)))
1.0%
(/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 y (*.f64 x (*.f64 x y))))
2.1%
(/.f64 (*.f64 x (*.f64 y y)) y)
2.2%
(/.f64 (*.f64 x (*.f64 x y)) x)
12.1%
(/.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))))
27.7%
(/.f64 (neg.f64 (*.f64 y y)) (/.f64 y x))
49.7%
(/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x))
2.2%
(/.f64 x (/.f64 #s(literal 1 binary64) y))
49.7%
(/.f64 x (/.f64 #s(literal -1 binary64) y))
49.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
2.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
49.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
1.7%
(*.f64 (/.f64 y x) (neg.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y))))
27.7%
(*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y))
1.6%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
2.1%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y y)))
29.6%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
26.8%
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y)))
17.2%
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x x)) (*.f64 y y))
1.7%
(*.f64 (*.f64 y y) (/.f64 x y))
0.9%
(*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))
46.7%
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) x))
1.6%
(*.f64 (neg.f64 y) (*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
49.7%
(*.f64 y (*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)))
2.2%
(*.f64 y x)
23.1%
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y) #s(literal 1/2 binary64)))
28.2%
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
28.7%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))))
23.1%
(*.f64 x (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1/2 binary64)))))
35.9%
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
1.6%
(*.f64 x (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) (/.f64 #s(literal -1 binary64) y)))
2.1%
(*.f64 x (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
2.2%
(*.f64 x (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) x)))
49.8%
(*.f64 x (neg.f64 y))
3.8%
(*.f64 x #s(literal 1/2 binary64))
50.7%
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
51.8%
(log1p.f64 (exp.f64 x))
51.4%
(log.f64 #s(literal 2 binary64))
12.9%
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))))))) #s(literal -1 binary64)))
50.7%
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
Compiler

Compiled 1 888 to 741 computations (60.8% saved)

regimes70.0ms (0.8%)

Memory
13.0MiB live, 103.5MiB allocated
Counts
78 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 y y) (/.f64 x y))
(/.f64 (*.f64 x (*.f64 x y)) x)
(/.f64 (*.f64 x (*.f64 y y)) y)
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) y)
(/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) (neg.f64 y))
(*.f64 x (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 x (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y)))
(*.f64 y (*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y y)))
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 (neg.f64 (*.f64 y y)) (/.f64 y x))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 y x))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) x) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x x)) (*.f64 y y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (neg.f64 y) (*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x y))) y)
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y)
(/.f64 (/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 y y))) y) y)
(*.f64 x (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 y x) (neg.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 x (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) x) y)
(/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) y)) y)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) y)) y)
(/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x y))) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (*.f64 y y)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) x) (neg.f64 (*.f64 x (*.f64 y y))))
(/.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) x)) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x y)))) (neg.f64 (*.f64 x y)))) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (neg.f64 (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))))
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))))
(log.f64 #s(literal 2 binary64))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))))))) #s(literal -1 binary64)))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Calls

3 calls:

25.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
21.0ms
x
21.0ms
y
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes84.0ms (1%)

Memory
-19.2MiB live, 98.1MiB allocated
Counts
74 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 y y) (/.f64 x y))
(/.f64 (*.f64 x (*.f64 x y)) x)
(/.f64 (*.f64 x (*.f64 y y)) y)
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) y)
(/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) (neg.f64 y))
(*.f64 x (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 x (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y)))
(*.f64 y (*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y y)))
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 (neg.f64 (*.f64 y y)) (/.f64 y x))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 y x))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) x) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x x)) (*.f64 y y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (neg.f64 y) (*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x y))) y)
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y)
(/.f64 (/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 y y))) y) y)
(*.f64 x (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 y x) (neg.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 x (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) x) y)
(/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) y)) y)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) y)) y)
(/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x y))) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (*.f64 y y)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) x) (neg.f64 (*.f64 x (*.f64 y y))))
(/.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) x)) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x y)))) (neg.f64 (*.f64 x y)))) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (neg.f64 (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))))
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))))
(log.f64 #s(literal 2 binary64))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(log1p.f64 (exp.f64 x))
Outputs
(*.f64 x (neg.f64 y))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
Calls

3 calls:

32.0ms
x
29.0ms
y
17.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.4%2x
90.1%1y
98.7%2(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes51.0ms (0.6%)

Memory
-4.1MiB live, 33.3MiB allocated
Counts
72 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 y y) (/.f64 x y))
(/.f64 (*.f64 x (*.f64 x y)) x)
(/.f64 (*.f64 x (*.f64 y y)) y)
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) y)
(/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) (neg.f64 y))
(*.f64 x (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 x (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y)))
(*.f64 y (*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y y)))
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 (neg.f64 (*.f64 y y)) (/.f64 y x))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 y x))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) x) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x x)) (*.f64 y y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (neg.f64 y) (*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x y))) y)
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y)
(/.f64 (/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 y y))) y) y)
(*.f64 x (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 y x) (neg.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 x (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) x) y)
(/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) y)) y)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) y)) y)
(/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x y))) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (*.f64 y y)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) x) (neg.f64 (*.f64 x (*.f64 y y))))
(/.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) x)) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x y)))) (neg.f64 (*.f64 x y)))) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (neg.f64 (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))))
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))))
(log.f64 #s(literal 2 binary64))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
Outputs
(*.f64 x (neg.f64 y))
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
Calls

1 calls:

48.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes36.0ms (0.4%)

Memory
-5.1MiB live, 32.8MiB allocated
Counts
71 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 y y) (/.f64 x y))
(/.f64 (*.f64 x (*.f64 x y)) x)
(/.f64 (*.f64 x (*.f64 y y)) y)
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) y)
(/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) (neg.f64 y))
(*.f64 x (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 x (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y)))
(*.f64 y (*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y y)))
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 (neg.f64 (*.f64 y y)) (/.f64 y x))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 y x))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) x) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x x)) (*.f64 y y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (neg.f64 y) (*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x y))) y)
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y)
(/.f64 (/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 y y))) y) y)
(*.f64 x (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 y x) (neg.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 x (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) x) y)
(/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) y)) y)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) y)) y)
(/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x y))) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (*.f64 y y)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) x) (neg.f64 (*.f64 x (*.f64 y y))))
(/.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) x)) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x y)))) (neg.f64 (*.f64 x y)))) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (neg.f64 (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))))
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))))
(log.f64 #s(literal 2 binary64))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
Outputs
(*.f64 x (neg.f64 y))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
Calls

1 calls:

19.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes108.0ms (1.3%)

Memory
18.3MiB live, 55.9MiB allocated
Counts
70 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 y y) (/.f64 x y))
(/.f64 (*.f64 x (*.f64 x y)) x)
(/.f64 (*.f64 x (*.f64 y y)) y)
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) y)
(/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) (neg.f64 y))
(*.f64 x (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 x (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y)))
(*.f64 y (*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y y)))
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 (neg.f64 (*.f64 y y)) (/.f64 y x))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 y x))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) x) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x x)) (*.f64 y y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (neg.f64 y) (*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x y))) y)
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y)
(/.f64 (/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 y y))) y) y)
(*.f64 x (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 y x) (neg.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 x (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) x) y)
(/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) y)) y)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) y)) y)
(/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x y))) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (*.f64 y y)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) x) (neg.f64 (*.f64 x (*.f64 y y))))
(/.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) x)) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x y)))) (neg.f64 (*.f64 x y)))) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (neg.f64 (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))))
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))))
(log.f64 #s(literal 2 binary64))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
Outputs
(*.f64 x (neg.f64 y))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 x (neg.f64 y))
Calls

2 calls:

86.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
19.0ms
x
Results
AccuracySegmentsBranch
97.9%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
84.3%2x
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes29.0ms (0.3%)

Memory
-10.1MiB live, 30.6MiB allocated
Counts
69 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 y y) (/.f64 x y))
(/.f64 (*.f64 x (*.f64 x y)) x)
(/.f64 (*.f64 x (*.f64 y y)) y)
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) y)
(/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) (neg.f64 y))
(*.f64 x (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 x (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y)))
(*.f64 y (*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y y)))
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 (neg.f64 (*.f64 y y)) (/.f64 y x))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 y x))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) x) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x x)) (*.f64 y y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (neg.f64 y) (*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x y))) y)
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y)
(/.f64 (/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 y y))) y) y)
(*.f64 x (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 y x) (neg.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 x (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) x) y)
(/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) y)) y)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) y)) y)
(/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x y))) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (*.f64 y y)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) x) (neg.f64 (*.f64 x (*.f64 y y))))
(/.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) x)) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x y)))) (neg.f64 (*.f64 x y)))) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (neg.f64 (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))))
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))))
(log.f64 #s(literal 2 binary64))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
Outputs
(*.f64 x (neg.f64 y))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
(*.f64 x (neg.f64 y))
Calls

1 calls:

25.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
97.9%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes43.0ms (0.5%)

Memory
-8.1MiB live, 30.1MiB allocated
Counts
68 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 y y) (/.f64 x y))
(/.f64 (*.f64 x (*.f64 x y)) x)
(/.f64 (*.f64 x (*.f64 y y)) y)
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) y)
(/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) (neg.f64 y))
(*.f64 x (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 x (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y)))
(*.f64 y (*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y y)))
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 (neg.f64 (*.f64 y y)) (/.f64 y x))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 y x))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) x) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x x)) (*.f64 y y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (neg.f64 y) (*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x y))) y)
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y)
(/.f64 (/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 y y))) y) y)
(*.f64 x (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 y x) (neg.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 x (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) x) y)
(/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) y)) y)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) y)) y)
(/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x y))) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (*.f64 y y)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) x) (neg.f64 (*.f64 x (*.f64 y y))))
(/.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) x)) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x y)))) (neg.f64 (*.f64 x y)))) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (neg.f64 (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))))
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))))
(log.f64 #s(literal 2 binary64))
Outputs
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))
(*.f64 x (neg.f64 y))
Calls

1 calls:

16.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
97.8%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes101.0ms (1.2%)

Memory
5.3MiB live, 80.8MiB allocated
Counts
67 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 y y) (/.f64 x y))
(/.f64 (*.f64 x (*.f64 x y)) x)
(/.f64 (*.f64 x (*.f64 y y)) y)
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) y)
(/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) x) (neg.f64 y))
(*.f64 x (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 x (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y)))
(*.f64 y (*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 y y)))
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 (neg.f64 (*.f64 y y)) (/.f64 y x))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 y x))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) x) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x x)) (*.f64 y y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (neg.f64 y) (*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x y))) y)
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y)
(/.f64 (/.f64 (*.f64 (*.f64 x y) (neg.f64 (*.f64 y y))) y) y)
(*.f64 x (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 y x) (neg.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x y)) y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 x (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) x) y)
(/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) y)) y)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) y)) y)
(/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x y))) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x (*.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (*.f64 y y)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) x) (neg.f64 (*.f64 x (*.f64 y y))))
(/.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) y) x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) x)) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x y)))) (neg.f64 (*.f64 x y)))) x) y) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (neg.f64 (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))))
(/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (neg.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))))))
Outputs
(*.f64 x (neg.f64 y))
Calls

3 calls:

44.0ms
y
18.0ms
x
16.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
49.8%1x
49.8%1y
49.8%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes5.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Accuracy

Total -1.2b remaining (-2%)

Threshold costs -1.2b (-2%)

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

3 calls:

2.0ms
x
1.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
1.0ms
y
Results
AccuracySegmentsBranch
3.8%1y
3.8%1x
3.8%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch17.0ms (0.2%)

Memory
20.8MiB live, 20.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-1027367363.528393
-0.00047837663729779687
Samples
9.0ms160×0valid
Compiler

Compiled 184 to 141 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 2.0ms (35.8% of total)
ival-log1p: 2.0ms (35.8% of total)
ival-sub: 1.0ms (17.9% of total)
ival-mult: 1.0ms (17.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory
-25.4MiB live, 14.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
-1027367363.528393
-0.00047837663729779687
Samples
22.0ms112×0valid
Compiler

Compiled 174 to 131 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log1p: 17.0ms (88.1% of total)
ival-exp: 1.0ms (5.2% of total)
ival-mult: 1.0ms (5.2% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1027367363.528393
-0.00047837663729779687
Compiler

Compiled 174 to 131 computations (24.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
16.77282331265113
80.91157573510411
0.0ms
2.473415879240818e-7
0.6931469964293682
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
16.77282331265113
80.91157573510411
0.0ms
2.473415879240818e-7
0.6931469964293682
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
16.77282331265113
80.91157573510411
0.0ms
2.473415879240818e-7
0.6931469964293682
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
038166
159166
269166
374166
476166
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -6124895493223875/4503599627370496 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -122 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -122 binary64)) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 944473296573929/2361183241434822606848 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 20 binary64)) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 x (neg.f64 y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 944473296573929/2361183241434822606848 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 20 binary64)) (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x (neg.f64 y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 944473296573929/2361183241434822606848 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 20 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))
(*.f64 x (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -6124895493223875/4503599627370496 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -6124895493223875/4503599627370496 binary64)) (neg.f64 (*.f64 x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -122 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -122 binary64)) (neg.f64 (*.f64 x y)) (fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -122 binary64)) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))
(if (<=.f64 x #s(literal -122 binary64)) (neg.f64 (*.f64 x y)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 944473296573929/2361183241434822606848 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 20 binary64)) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 x (neg.f64 y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 944473296573929/2361183241434822606848 binary64)) (neg.f64 (*.f64 x y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 20 binary64)) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 x y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 944473296573929/2361183241434822606848 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 20 binary64)) (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x (neg.f64 y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 944473296573929/2361183241434822606848 binary64)) (neg.f64 (*.f64 x y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 20 binary64)) (log1p.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 944473296573929/2361183241434822606848 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 20 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 944473296573929/2361183241434822606848 binary64)) (neg.f64 (*.f64 x y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 20 binary64)) (log.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 x y))))
(*.f64 x (neg.f64 y))
(neg.f64 (*.f64 x y))
(*.f64 x #s(literal 1/2 binary64))

soundness1.5s (18.2%)

Memory
-19.4MiB live, 679.9MiB allocated
Rules
11 474×lower-fma.f64
11 474×lower-fma.f32
10 194×lower-fma.f64
10 194×lower-fma.f32
8 664×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105821
1302789
2696784
31728782
44314778
57296778
08031772
067400
1180400
2389400
31353400
44014370
56856370
08132300
085656
1251638
2616638
32161638
46032638
57754638
08089592
01332
02532
19032
258732
3620532
0819932
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 290 to 129 computations (55.5% saved)

preprocess96.0ms (1.1%)

Memory
-17.2MiB live, 188.0MiB allocated
Compiler

Compiled 414 to 128 computations (69.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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