Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, B

Time bar (total: 10.3s)

analyze191.0ms (1.9%)

Memory
-24.5MiB live, 290.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
3.2%3.1%93.7%0.1%0%3.1%0%6
15.8%14%74.9%0.1%0%10.9%0%7
22.1%19.5%68.7%0.1%0%11.7%0%8
31.8%26.9%57.8%0.1%0%15.2%0%9
36.3%30.6%53.9%0.1%0%15.4%0%10
42%34.8%48%0.1%0%17.1%0%11
44.6%36.9%45.9%0.1%0%17.1%0%12
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.6s (16%)

Memory
10.3MiB live, 2 795.0MiB allocated
Samples
555.0ms2 311×1valid
455.0ms5 945×0valid
160.0ms1 074×1invalid
125.0ms1 664×0invalid
Precisions
Click to see histograms. Total time spent on operations: 829.0ms
ival-sub: 319.0ms (38.5% of total)
ival-log: 298.0ms (35.9% of total)
ival-div: 104.0ms (12.5% of total)
adjust: 92.0ms (11.1% of total)
ival-true: 7.0ms (0.8% of total)
exact: 6.0ms (0.7% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

preprocess101.0ms (1%)

Memory
38.9MiB live, 115.0MiB allocated
Algorithm
1×egg-herbie
Rules
540×lower-fma.f64
540×lower-fma.f32
356×sub-neg
332×times-frac
296×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02568
16462
217260
343060
496760
5188360
6236560
7252660
8257160
9258560
10258560
0912
01512
12712
24612
39712
422212
545312
680112
798512
8102812
9105712
0105710
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
Outputs
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))

explain248.0ms (2.4%)

Memory
-25.7MiB live, 374.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1060-0-(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
690-0-(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-#s(literal 1 binary64)
00-0-(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
00-0-(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
00-0-y
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) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))sensitivity1060
-.f64(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))cancellation690
Confusion
Predicted +Predicted -
+680
-10781
Precision
0.38857142857142857
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6800
-107081
Precision?
0.38857142857142857
Recall?
1.0
Freqs
test
numberfreq
081
1175
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
98.0ms302×1valid
15.0ms184×0valid
9.0ms26×2valid
Compiler

Compiled 126 to 40 computations (68.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-sub: 58.0ms (58.8% of total)
ival-log: 22.0ms (22.3% of total)
adjust: 12.0ms (12.2% of total)
ival-div: 6.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.1%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify40.0ms (0.4%)

Memory
20.2MiB live, 58.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
✓cost-diff192
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Rules
540×lower-fma.f64
540×lower-fma.f32
232×lower-*.f64
232×lower-*.f32
176×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0947
01547
12747
24647
39747
422247
545347
680147
798547
8102847
9105747
0105743
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
#s(literal 1 binary64)
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(-.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) y)
Outputs
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
#s(literal 1 binary64)
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(-.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) y)

localize58.0ms (0.6%)

Memory
-0.5MiB live, 117.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓accuracy75.6%
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
✓accuracy62.1%
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Samples
31.0ms151×1valid
7.0ms92×0valid
4.0ms13×2valid
Compiler

Compiled 49 to 11 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-log: 12.0ms (41.1% of total)
ival-sub: 8.0ms (27.4% of total)
adjust: 5.0ms (17.1% of total)
ival-div: 4.0ms (13.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-4.0MiB live, 34.0MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))>
#<alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 #s(literal 1 binary64) y)>
Outputs
#<alt (log (+ 1 (/ y (- 1 y))))>
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))))>
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))>
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))))))>
#<alt (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))))>
#<alt (log (- 1 x))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x))))))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x)))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (+ (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))>
#<alt (+ (log (- 1 x)) (log (/ -1 y)))>
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (/ x (- 1 x)) (/ 1 (- 1 x))) y))))>
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))>
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))>
#<alt (- 1 (log (+ 1 (/ y (- 1 y)))))>
#<alt (- (+ 1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))))>
#<alt (- (+ 1 (* x (+ (* 1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))>
#<alt (- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))>
#<alt (- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)))))>
#<alt (- (+ 1 (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))))))>
#<alt (- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x)) (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (log (- 1 x)))>
#<alt (- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))>
#<alt (- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))>
#<alt (- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))>
#<alt (- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))))>
#<alt (- (+ 1 (/ x (* y (+ 1 (* -1 x))))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (/ 1 (* y (+ 1 (* -1 x)))))))>
#<alt (- (+ 1 (* -1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))))))>
#<alt (- (+ 1 (* -1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))>
#<alt (- 1 (+ (log (- 1 x)) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (/ 1 (- 1 x)) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))>
#<alt (+ 1 (/ y (- 1 y)))>
#<alt (+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))>
#<alt (+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))>
#<alt (+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))>
#<alt (* -1 (/ x (- 1 y)))>
#<alt (* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (* -1 (/ x (- 1 y)))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* y (+ 1 (* -1 x)))) x)>
#<alt (- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x)>
#<alt (- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x)>
#<alt (* -1 (/ (+ 1 (* -1 x)) y))>
#<alt (/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y)>
#<alt (/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y)>
#<alt (/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y)>
#<alt (* -1 (/ (- 1 x) y))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) x) y))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) x) y))>
#<alt (* -1 (/ y (- 1 y)))>
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))>
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))>
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))>
#<alt (/ x (- 1 y))>
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (/ x (- 1 y))>
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))>
#<alt x>
#<alt (+ x (* -1 (* y (+ 1 (* -1 x)))))>
#<alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))>
#<alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- x 1) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
Calls

27 calls:

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

rewrite279.0ms (2.7%)

Memory
-35.1MiB live, 577.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 848×lower-fma.f64
4 848×lower-fma.f32
4 138×lower-*.f64
4 138×lower-*.f32
3 436×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0941
01541
17741
266241
0872337
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 310
Calls
Call 1
Inputs
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (neg.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))))
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))
(-.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (log.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(neg.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (*.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))) (+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64)))))) (*.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))
(+.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))
(+.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))
(+.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64)))))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))
(fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))
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(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) #s(literal -1 binary64))))

simplify395.0ms (3.8%)

Memory
5.3MiB live, 521.7MiB allocated
Algorithm
1×egg-herbie
Rules
6 808×lower-fma.f64
6 808×lower-fma.f32
3 982×lower-+.f64
3 982×lower-+.f32
2 656×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04392658
114202052
249431821
086721728
Stop Event
1×iter limit
1×node limit
Counts
108 → 107
Calls
Call 1
Inputs
(log (+ 1 (/ y (- 1 y))))
(+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))))
(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))
(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))
(+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x))))
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))))))
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))))))
(+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x))))
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))))
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))))
(log (- 1 x))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x))))))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x))))))
(+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x)))))))
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (+ (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))
(+ (log (- 1 x)) (log (/ -1 y)))
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (/ x (- 1 x)) (/ 1 (- 1 x))) y))))
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))
(- 1 (log (+ 1 (/ y (- 1 y)))))
(- (+ 1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))))
(- (+ 1 (* x (+ (* 1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))
(- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))
(- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))
(- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))
(- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)))))
(- (+ 1 (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))))))
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(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
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(- 1 (log (- 1 x)))
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(- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))))
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(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))
(- 1 x)
(- (+ 1 (* y (+ 1 (* -1 x)))) x)
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x)
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x)
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(/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y)
(/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y)
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(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) x) y))
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) x) y))
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(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
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(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
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(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
Outputs
(log (+ 1 (/ y (- 1 y))))
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))))
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(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))
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(+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64))))
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x))))
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(log (- 1 x))
(log1p.f64 (neg.f64 x))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))
(+.f64 y (log1p.f64 (neg.f64 x)))
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(- 1 (log (+ 1 (/ y (- 1 y)))))
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x
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1
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1
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eval63.0ms (0.6%)

Memory
13.2MiB live, 164.5MiB allocated
Compiler

Compiled 12 458 to 1 828 computations (85.3% saved)

prune57.0ms (0.6%)

Memory
22.8MiB live, 181.6MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New40710417
Fresh000
Picked101
Done000
Total40810418
Accuracy
100.0%
Counts
418 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.0%
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
▶75.2%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
▶42.8%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
▶66.9%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
36.4%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y)))
35.6%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
36.3%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
▶43.7%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
▶66.9%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
2.4%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
Compiler

Compiled 224 to 162 computations (27.7% saved)

simplify47.0ms (0.5%)

Memory
-18.7MiB live, 59.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 y (-.f64 #s(literal 1 binary64) y))
✓cost-diff0
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
✓cost-diff0
(+.f64 y #s(literal -1 binary64))
✓cost-diff0
(/.f64 x (+.f64 y #s(literal -1 binary64)))
✓cost-diff0
(log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
✓cost-diff64
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(log1p.f64 (neg.f64 x))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))
✓cost-diff0
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
Rules
608×lower-fma.f64
608×lower-fma.f32
272×lower-*.f64
272×lower-*.f32
264×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022112
043110
166110
293110
3137110
4201110
5294110
6396110
7583110
8883110
91171110
101197110
111235110
121264110
01264110
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
#s(literal 1 binary64)
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))
(-.f64 x y)
x
y
(+.f64 y #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
#s(literal 1 binary64)
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
x
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
#s(literal 1 binary64)
(log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))
(/.f64 x (+.f64 y #s(literal -1 binary64)))
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
#s(literal 1 binary64)
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/.f64 y (-.f64 #s(literal 1 binary64) y))
y
(-.f64 #s(literal 1 binary64) y)
Outputs
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
#s(literal 1 binary64)
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))
(/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))
(-.f64 x y)
x
y
(+.f64 y #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
#s(literal 1 binary64)
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
#s(literal 1 binary64)
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
x
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
#s(literal 1 binary64)
(log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))
(/.f64 x (+.f64 y #s(literal -1 binary64)))
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
#s(literal 1 binary64)
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/.f64 y (-.f64 #s(literal 1 binary64) y))
y
(-.f64 #s(literal 1 binary64) y)

localize182.0ms (1.8%)

Memory
2.1MiB live, 213.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y (-.f64 #s(literal 1 binary64) y))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy86.0%
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
✓accuracy100.0%
(/.f64 x (+.f64 y #s(literal -1 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
✓accuracy100.0%
(+.f64 y #s(literal -1 binary64))
✓accuracy95.4%
(log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy70.8%
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(log1p.f64 (neg.f64 x))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
✓accuracy100.0%
(+.f64 y #s(literal -1 binary64))
✓accuracy89.3%
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
Samples
75.0ms26×2valid
29.0ms66×1valid
23.0ms100×0invalid
13.0ms64×0valid
Compiler

Compiled 126 to 24 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-log1p: 65.0ms (58.2% of total)
ival-log: 15.0ms (13.4% of total)
ival-sub: 13.0ms (11.6% of total)
ival-div: 9.0ms (8.1% of total)
adjust: 8.0ms (7.2% of total)
ival-add: 2.0ms (1.8% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series98.0ms (0.9%)

Memory
-10.0MiB live, 184.5MiB allocated
Counts
18 → 300
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))>
#<alt (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))>
#<alt (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))>
#<alt (-.f64 x y)>
#<alt (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))>
#<alt (log1p.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (log.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))>
#<alt (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))>
#<alt (/.f64 x (+.f64 y #s(literal -1 binary64)))>
#<alt (+.f64 y #s(literal -1 binary64))>
#<alt (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))>
#<alt (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 y (-.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 #s(literal 1 binary64) y)>
Outputs
#<alt (- 1 (log (- 1 (/ y (- y 1)))))>
#<alt (- (+ 1 (* -1 (/ x (* (- 1 (/ y (- y 1))) (- y 1))))) (log (- 1 (/ y (- y 1)))))>
#<alt (- (+ 1 (* x (- (* 1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))>
#<alt (- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))>
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))>
#<alt (- (+ 1 (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))))>
#<alt (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (log (+ 1 (* -1 x))))>
#<alt (- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))>
#<alt (- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))>
#<alt (- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))>
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))>
#<alt (- (+ 1 (+ (* -1 (/ x (* y (- x 1)))) (/ 1 (* y (- x 1))))) (+ (log (- x 1)) (log (/ 1 y))))>
#<alt (- (+ 1 (* -1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))))))>
#<alt (- (+ 1 (* -1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))))>
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (/ x (- x 1)) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (log (- 1 (/ y (- y 1))))>
#<alt (+ (log (- 1 (/ y (- y 1)))) (/ x (* (- 1 (/ y (- y 1))) (- y 1))))>
#<alt (+ (log (- 1 (/ y (- y 1)))) (* x (+ (* -1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1))))))>
#<alt (+ (log (- 1 (/ y (- y 1)))) (* x (+ (* x (- (* 1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1))))))>
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))>
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))>
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (+ (* 1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))))>
#<alt (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x)))>
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* 1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x))) x))))>
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2))) (* 1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x))) x))) x))))>
#<alt (log (+ 1 (* -1 x)))>
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x))))))>
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (+ (* 1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x))))))>
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x))))))>
#<alt (+ (log (- x 1)) (log (/ 1 y)))>
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1))))))>
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2))))))>
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (+ (* 1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))))>
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))>
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (/ 1 (- x 1)) (/ x (- x 1))) y))))>
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y))))>
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y))))>
#<alt (* -1 (/ y (- y 1)))>
#<alt (+ (* -1 (/ y (- y 1))) (/ x (- y 1)))>
#<alt (+ (* -1 (/ y (- y 1))) (/ x (- y 1)))>
#<alt (+ (* -1 (/ y (- y 1))) (/ x (- y 1)))>
#<alt (/ x (- y 1))>
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))>
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))>
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))>
#<alt (/ x (- y 1))>
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))>
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))>
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* y (- 1 x)))>
#<alt (+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x)))>
#<alt (+ (* -1 x) (* y (- (+ 1 (* y (- (* y (- 1 x)) (* -1 (- 1 x))))) x)))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (/ 1 y)))>
#<alt (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (- (+ (/ x y) (/ x (pow y 3))) (+ 1 (+ (* -1 (/ (- x 1) (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (/ 1 y)))>
#<alt (- (* -1 (/ (- (+ (* -1 (- x 1)) (/ 1 y)) (/ x y)) y)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ x y)) (/ 1 y)) y))) y)) 1)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (/ 1 x)) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (/ 1 x)) (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (* -1 (log (/ -1 x))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (/ 1 x)) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (/ 1 x)) (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (* -1 (log (/ -1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (- 1 (+ (log x) (log (/ 1 (- y 1)))))>
#<alt (- 1 (+ (log x) (log (/ 1 (- y 1)))))>
#<alt (- 1 (+ (log x) (log (/ 1 (- y 1)))))>
#<alt (- 1 (+ (log x) (log (/ 1 (- y 1)))))>
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (log (* -1 x)))>
#<alt (- (+ 1 (* -1 y)) (log (* -1 x)))>
#<alt (- (+ 1 (* y (- (* -1/2 y) 1))) (log (* -1 x)))>
#<alt (- (+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1))) (log (* -1 x)))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log x) (+ (log (/ 1 y)) (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log x) (log (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log x) (+ (log (/ 1 y)) (/ 1 y))))>
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (- 1 (+ (log (* -1 x)) (+ (log (/ -1 y)) (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (+ (log x) (log (/ 1 (- y 1))))>
#<alt (+ (log x) (log (/ 1 (- y 1))))>
#<alt (+ (log x) (log (/ 1 (- y 1))))>
#<alt (+ (log x) (log (/ 1 (- y 1))))>
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))>
#<alt (log (* -1 x))>
#<alt (+ y (log (* -1 x)))>
#<alt (+ (log (* -1 x)) (* y (+ 1 (* 1/2 y))))>
#<alt (+ (log (* -1 x)) (* y (+ 1 (* y (+ 1/2 (* 1/3 y))))))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (+ (log (/ 1 y)) (/ 1 y)))>
#<alt (+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))>
#<alt (+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3)))))))>
#<alt (+ (log (* -1 x)) (log (/ -1 y)))>
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (/ 1 y)))>
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))>
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) y))))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* x y)))>
#<alt (+ (* -1 x) (* y (- (* -1 (* x y)) x)))>
#<alt (+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x)))>
#<alt (/ x y)>
#<alt (/ (+ x (/ x y)) y)>
#<alt (/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y)>
#<alt (/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* -1/2 y) 1)))>
#<alt (+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1)))>
#<alt (- 1 (+ (log -1) (log (/ 1 y))))>
#<alt (- 1 (+ (log -1) (+ (log (/ 1 y)) (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log -1) (log (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log -1) (+ (log (/ 1 y)) (/ 1 y))))>
#<alt (- 1 (log (/ -1 y)))>
#<alt (- 1 (+ (log (/ -1 y)) (/ 1 y)))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (log (/ -1 y)))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (log (/ -1 y)))>
#<alt y>
#<alt (* y (+ 1 (* 1/2 y)))>
#<alt (* y (+ 1 (* y (+ 1/2 (* 1/3 y)))))>
#<alt (* y (+ 1 (* y (+ 1/2 (* y (+ 1/3 (* 1/4 y)))))))>
#<alt (+ (log -1) (log (/ 1 y)))>
#<alt (+ (log -1) (+ (log (/ 1 y)) (/ 1 y)))>
#<alt (+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))>
#<alt (+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3)))))))>
#<alt (log (/ -1 y))>
#<alt (+ (log (/ -1 y)) (/ 1 y))>
#<alt (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))>
#<alt (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) y)))>
#<alt y>
#<alt (* y (+ 1 y))>
#<alt (* y (+ 1 (* y (+ 1 y))))>
#<alt (* y (+ 1 (* y (+ 1 (* y (+ 1 y))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 y)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 y)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
Calls

75 calls:

TimeVariablePointExpression
36.0ms
x
@0
(- 1 (log (/ x (+ y -1))))
18.0ms
x
@-inf
(- 1 (log (/ x (+ y -1))))
15.0ms
x
@0
(- 1 (log (+ 1 (neg x))))
6.0ms
x
@inf
(- 1 (log (/ x (+ y -1))))
2.0ms
x
@inf
(- 1 (log (+ 1 (neg x))))

rewrite425.0ms (4.1%)

Memory
39.7MiB live, 746.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 960×lower-/.f32
4 954×lower-/.f64
4 696×lower-*.f64
4 696×lower-*.f32
3 852×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02295
04393
121093
2168093
0934189
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 638
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))
(-.f64 x y)
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))
(/.f64 x (+.f64 y #s(literal -1 binary64)))
(+.f64 y #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/.f64 y (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))
(+.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (neg.f64 y)))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))

simplify331.0ms (3.2%)

Memory
-30.7MiB live, 583.2MiB allocated
Algorithm
1×egg-herbie
Rules
6 440×lower-fma.f64
6 440×lower-fma.f32
3 960×lower-+.f64
3 960×lower-+.f32
2 866×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06224165
119303643
259123210
086193069
Stop Event
1×iter limit
1×node limit
Counts
300 → 293
Calls
Call 1
Inputs
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(/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* -1/2 y) 1)))
(+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1)))
(- 1 (+ (log -1) (log (/ 1 y))))
(- 1 (+ (log -1) (+ (log (/ 1 y)) (/ 1 y))))
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log -1) (log (/ 1 y))))
(- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log -1) (+ (log (/ 1 y)) (/ 1 y))))
(- 1 (log (/ -1 y)))
(- 1 (+ (log (/ -1 y)) (/ 1 y)))
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (log (/ -1 y)))
(- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (log (/ -1 y)))
y
(* y (+ 1 (* 1/2 y)))
(* y (+ 1 (* y (+ 1/2 (* 1/3 y)))))
(* y (+ 1 (* y (+ 1/2 (* y (+ 1/3 (* 1/4 y)))))))
(+ (log -1) (log (/ 1 y)))
(+ (log -1) (+ (log (/ 1 y)) (/ 1 y)))
(+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))
(+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3)))))))
(log (/ -1 y))
(+ (log (/ -1 y)) (/ 1 y))
(+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))
(+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) y)))
y
(* y (+ 1 y))
(* y (+ 1 (* y (+ 1 y))))
(* y (+ 1 (* y (+ 1 (* y (+ 1 y))))))
-1
(* -1 (+ 1 (/ 1 y)))
(- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)
(- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y)))
-1
(* -1 (+ 1 (/ 1 y)))
(- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1)
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
Outputs
(- 1 (log (- 1 (/ y (- y 1)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(- (+ 1 (* -1 (/ x (* (- 1 (/ y (- y 1))) (- y 1))))) (log (- 1 (/ y (- y 1)))))
(+.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(- (+ 1 (* x (- (* 1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64))))
(- (+ 1 (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) x) (-.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) (log.f64 x))))
(- (+ 1 (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))
(-.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (+.f64 y #s(literal -1 binary64)) x) (-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64))))))
(- (+ 1 (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))))
(+.f64 (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 y #s(literal -1 binary64))))) (log.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y))) x))
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (log1p.f64 (neg.f64 y)))
(- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) x) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (log1p.f64 (neg.f64 y))))
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y))) x) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (log1p.f64 (neg.f64 y))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) x) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))))) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y))) x) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (log1p.f64 (neg.f64 y))))
(- 1 (log (+ 1 (* -1 x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
(- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))
(-.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
(- 1 (+ (log (- x 1)) (log (/ 1 y))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(- (+ 1 (+ (* -1 (/ x (* y (- x 1)))) (/ 1 (* y (- x 1))))) (+ (log (- x 1)) (log (/ 1 y))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x))))
(- (+ 1 (* -1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal -1 binary64) y) (log.f64 y))) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(- (+ 1 (* -1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))))
(- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))
(-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log1p.f64 (neg.f64 x)))
(- (+ 1 (* -1 (/ (- (/ x (- x 1)) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (log1p.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 y))))
(- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log1p.f64 (neg.f64 x))))
(- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) y)) (+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y)))))
(log (- 1 (/ y (- y 1))))
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(+ (log (- 1 (/ y (- y 1)))) (/ x (* (- 1 (/ y (- y 1))) (- y 1))))
(+.f64 (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))))
(+ (log (- 1 (/ y (- y 1)))) (* x (+ (* -1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1))))))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(+ (log (- 1 (/ y (- y 1)))) (* x (+ (* x (- (* 1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1))))))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64))))
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))
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y
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eval170.0ms (1.6%)

Memory
26.1MiB live, 255.6MiB allocated
Compiler

Compiled 17 783 to 2 895 computations (83.7% saved)

prune173.0ms (1.7%)

Memory
-27.7MiB live, 262.8MiB allocated
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New95016966
Fresh235
Picked325
Done000
Total95521976
Accuracy
100.0%
Counts
976 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.1%
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
▶41.7%
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
45.2%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
44.6%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
▶65.0%
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
19.3%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (neg.f64 (log.f64 (neg.f64 y))))
41.7%
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
19.9%
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))))
20.7%
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
42.6%
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
✓42.8%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
✓66.9%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
▶44.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 x))
35.6%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
36.3%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
▶19.9%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
28.0%
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
42.5%
(-.f64 #s(literal 1 binary64) y)
43.5%
(+.f64 (log.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x)) #s(literal 1 binary64))
45.5%
(+.f64 #s(literal 1 binary64) x)
▶44.8%
#s(literal 1 binary64)
Compiler

Compiled 381 to 289 computations (24.1% saved)

simplify63.0ms (0.6%)

Memory
1.3MiB live, 81.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(log.f64 (/.f64 x y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
✓cost-diff0
(log1p.f64 x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 x))
✓cost-diff0
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
✓cost-diff0
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(log1p.f64 (neg.f64 x))
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
Rules
848×lower-fma.f32
844×lower-fma.f64
392×lower-*.f64
392×lower-*.f32
304×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01658
03158
15858
210058
316258
426558
546058
668558
788958
892858
997158
10103158
11107358
12109458
13112758
14114158
0114158
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
#s(literal 1 binary64)
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
y
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (log1p.f64 x))
#s(literal 1 binary64)
(log1p.f64 x)
x
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
#s(literal 1 binary64)
(log.f64 (/.f64 x y))
(/.f64 x y)
x
y
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
#s(literal 1 binary64)
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
y
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (log1p.f64 x))
#s(literal 1 binary64)
(log1p.f64 x)
x
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
#s(literal 1 binary64)
(log.f64 (/.f64 x y))
(/.f64 x y)
x
y

localize62.0ms (0.6%)

Memory
0.3MiB live, 113.8MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
✓accuracy95.4%
(log.f64 (/.f64 x y))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 x))
✓accuracy100.0%
(log1p.f64 x)
✓accuracy100.0%
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
✓accuracy100.0%
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(log1p.f64 (neg.f64 x))
Samples
27.0ms182×0invalid
9.0ms74×0valid
Compiler

Compiled 71 to 20 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 6.0ms (25% of total)
ival-log1p: 6.0ms (25% of total)
ival-sub: 5.0ms (20.8% of total)
ival-div: 2.0ms (8.3% of total)
ival-add: 2.0ms (8.3% of total)
ival-log: 2.0ms (8.3% of total)
ival-neg: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series114.0ms (1.1%)

Memory
39.8MiB live, 227.0MiB allocated
Counts
11 → 180
Calls
Call 1
Inputs
#<alt (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))>
#<alt (-.f64 #s(literal 1 binary64) y)>
#<alt (log1p.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))>
#<alt (-.f64 #s(literal 1 binary64) (log1p.f64 x))>
#<alt (log1p.f64 x)>
#<alt (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))>
#<alt (log.f64 (/.f64 x y))>
#<alt (/.f64 x y)>
Outputs
#<alt (- 1 (log (- 1 x)))>
#<alt (- (+ 1 (* -1 y)) (log (- 1 x)))>
#<alt (- (+ 1 (* -1 y)) (log (- 1 x)))>
#<alt (- (+ 1 (* -1 y)) (log (- 1 x)))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))>
#<alt (* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))>
#<alt (* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))>
#<alt (- 1 y)>
#<alt (- (+ 1 x) y)>
#<alt (- (+ 1 (* x (+ 1 (* 1/2 x)))) y)>
#<alt (- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) y)>
#<alt (- 1 (+ y (+ (log -1) (* -1 (log (/ 1 x))))))>
#<alt (- (+ 1 (/ 1 x)) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))>
#<alt (- 1 (+ y (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (/ 1 x)) (+ y (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ y (* -1 (log (/ -1 x)))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* -1/2 y) 1)))>
#<alt (+ 1 (* y (- (* -1/2 y) 1)))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))>
#<alt -1>
#<alt (- (* -1/2 y) 1)>
#<alt (- (* -1/2 y) 1)>
#<alt (- (* -1/2 y) 1)>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))>
#<alt (- 1 (* -1 (log (/ 1 x))))>
#<alt (- 1 (+ (* -1 (log (/ 1 x))) (/ 1 x)))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (+ (* -1 (log (/ 1 x))) (/ 1 x)))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))))>
#<alt (- (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log x) (* -1 (log y))))>
#<alt (- 1 (+ (log x) (* -1 (log y))))>
#<alt (- 1 (+ (log x) (* -1 (log y))))>
#<alt (- 1 (+ (log x) (* -1 (log y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))>
#<alt (+ (log x) (* -1 (log y)))>
#<alt (+ (log x) (* -1 (log y)))>
#<alt (+ (log x) (* -1 (log y)))>
#<alt (+ (log x) (* -1 (log y)))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log (* -1 x)) (log (/ -1 y)))>
#<alt (+ (log (* -1 x)) (log (/ -1 y)))>
#<alt (+ (log (* -1 x)) (log (/ -1 y)))>
#<alt (+ (log (* -1 x)) (log (/ -1 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)>
Calls

45 calls:

TimeVariablePointExpression
36.0ms
x
@0
(- 1 (log (/ x y)))
21.0ms
y
@0
(- 1 (log (/ x y)))
18.0ms
x
@-inf
(- 1 (log (/ x y)))
16.0ms
y
@-inf
(- 1 (log (/ x y)))
7.0ms
x
@inf
(- 1 (log (/ x y)))

rewrite436.0ms (4.2%)

Memory
-31.8MiB live, 411.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 016×lower-/.f32
4 014×lower-/.f64
3 998×lower-*.f64
3 998×lower-*.f32
2 820×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01645
03146
115246
2122743
0891843
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 389
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) y)
(log1p.f64 (neg.f64 x))
(neg.f64 x)
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (log1p.f64 x))
(log1p.f64 x)
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(log.f64 (/.f64 x y))
(/.f64 x y)
Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (log1p.f64 x))))
(+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) (log1p.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (-.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (fma.f64 (log1p.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 x))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 x)))))
(-.f64 #s(literal 1 binary64) (+.f64 y (log1p.f64 x)))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 x))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (fma.f64 (log1p.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 y (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 y (log1p.f64 x))))) (/.f64 (pow.f64 (+.f64 y (log1p.f64 x)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 y (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 y (log1p.f64 x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 y (log1p.f64 x)))) (/.f64 (pow.f64 (+.f64 y (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y (log1p.f64 x)))))
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(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))) (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))))
(fma.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))) (neg.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))))))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64))) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64)) (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)))) (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))) (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))) (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))) (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (-.f64 #s(literal 1 binary64) (log.f64 x))) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))))))
(log.f64 (/.f64 x y))
(+.f64 (log.f64 x) (neg.f64 (log.f64 y)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x y)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x (neg.f64 y))))
(-.f64 (log.f64 x) (log.f64 y))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 y x))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 y))))) (/.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 y))))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x y))) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 (*.f64 x y))))
(fma.f64 #s(literal -1 binary64) (log.f64 y) (log.f64 x))
(neg.f64 (log.f64 (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 y)))) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x y)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (log.f64 (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 y)) (neg.f64 (log.f64 y))) (*.f64 (log.f64 x) (neg.f64 (log.f64 y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x)) (fma.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 y)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 y)) (neg.f64 (log.f64 y)))) (-.f64 (log.f64 x) (neg.f64 (log.f64 y))))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y x)))
(*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 y))))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x y))))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 x (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y x))))
(/.f64 x y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (*.f64 x (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y)) (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))))))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x))))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))

simplify401.0ms (3.9%)

Memory
4.9MiB live, 639.6MiB allocated
Algorithm
1×egg-herbie
Rules
14 946×lower-fma.f64
14 946×lower-fma.f32
4 446×lower-+.f64
4 446×lower-+.f32
3 028×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02171383
16481252
217401230
355511175
085621120
Stop Event
1×iter limit
1×node limit
Counts
180 → 179
Calls
Call 1
Inputs
(- 1 (log (- 1 x)))
(- (+ 1 (* -1 y)) (log (- 1 x)))
(- (+ 1 (* -1 y)) (log (- 1 x)))
(- (+ 1 (* -1 y)) (log (- 1 x)))
(* -1 y)
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))
(- 1 y)
(- (+ 1 x) y)
(- (+ 1 (* x (+ 1 (* 1/2 x)))) y)
(- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) y)
(- 1 (+ y (+ (log -1) (* -1 (log (/ 1 x))))))
(- (+ 1 (/ 1 x)) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))
(- 1 (+ y (* -1 (log (/ -1 x)))))
(- (+ 1 (/ 1 x)) (+ y (* -1 (log (/ -1 x)))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ y (* -1 (log (/ -1 x)))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* -1/2 y) 1)))
(+ 1 (* y (- (* -1/2 y) 1)))
(* -1/2 (pow y 2))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))
(* -1/2 (pow y 2))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))
-1
(- (* -1/2 y) 1)
(- (* -1/2 y) 1)
(- (* -1/2 y) 1)
(* -1/2 y)
(* -1 (* y (+ 1/2 (/ 1 y))))
(* -1 (* y (+ 1/2 (/ 1 y))))
(* -1 (* y (+ 1/2 (/ 1 y))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (/ 1 y))))
(* -1 (* y (+ 1/2 (/ 1 y))))
(* -1 (* y (+ 1/2 (/ 1 y))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))
(- 1 (* -1 (log (/ 1 x))))
(- 1 (+ (* -1 (log (/ 1 x))) (/ 1 x)))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (* -1 (log (/ 1 x))) (/ 1 x)))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))
(- 1 (+ (log -1) (* -1 (log (/ -1 x)))))
(- 1 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))))
(- (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))) (+ (log -1) (* -1 (log (/ -1 x)))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(- 1 (+ (log x) (log (/ 1 y))))
(- 1 (+ (log x) (log (/ 1 y))))
(- 1 (+ (log x) (log (/ 1 y))))
(- 1 (+ (log x) (log (/ 1 y))))
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(- 1 (+ (log x) (* -1 (log y))))
(- 1 (+ (log x) (* -1 (log y))))
(- 1 (+ (log x) (* -1 (log y))))
(- 1 (+ (log x) (* -1 (log y))))
(- 1 (+ (log x) (log (/ 1 y))))
(- 1 (+ (log x) (log (/ 1 y))))
(- 1 (+ (log x) (log (/ 1 y))))
(- 1 (+ (log x) (log (/ 1 y))))
(- 1 (+ (log (* -1 x)) (log (/ -1 y))))
(- 1 (+ (log (* -1 x)) (log (/ -1 y))))
(- 1 (+ (log (* -1 x)) (log (/ -1 y))))
(- 1 (+ (log (* -1 x)) (log (/ -1 y))))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(+ (log x) (* -1 (log y)))
(+ (log x) (* -1 (log y)))
(+ (log x) (* -1 (log y)))
(+ (log x) (* -1 (log y)))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+ (log (* -1 x)) (log (/ -1 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)
Outputs
(- 1 (log (- 1 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(- (+ 1 (* -1 y)) (log (- 1 x)))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(- (+ 1 (* -1 y)) (log (- 1 x)))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(- (+ 1 (* -1 y)) (log (- 1 x)))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))
(-.f64 (neg.f64 y) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal -1 binary64)))
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))
(-.f64 (neg.f64 y) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal -1 binary64)))
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))
(-.f64 (neg.f64 y) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal -1 binary64)))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))
(-.f64 (neg.f64 y) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal -1 binary64)))
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))
(-.f64 (neg.f64 y) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal -1 binary64)))
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))
(-.f64 (neg.f64 y) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal -1 binary64)))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 x) y)
(+.f64 #s(literal 1 binary64) (-.f64 x y))
(- (+ 1 (* x (+ 1 (* 1/2 x)))) y)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) y)
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(- 1 (+ y (+ (log -1) (* -1 (log (/ 1 x))))))
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 y (log.f64 #s(literal -1 binary64))))
(- (+ 1 (/ 1 x)) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 y (log.f64 #s(literal -1 binary64)))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 y (log.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 y (log.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))
(- 1 (+ y (* -1 (log (/ -1 x)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log.f64 (neg.f64 x)))
(- (+ 1 (/ 1 x)) (+ y (* -1 (log (/ -1 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) y) (log.f64 (neg.f64 x))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (* -1 (log (/ -1 x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) y) (log.f64 (neg.f64 x))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ y (* -1 (log (/ -1 x)))))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (log.f64 (neg.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x)))
(* -1 (log (/ -1 x)))
(log.f64 (neg.f64 x))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+.f64 (log.f64 (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* -1/2 y) 1)))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* y (- (* -1/2 y) 1)))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1/2 y) 1)
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* -1/2 y) 1)
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* -1/2 y) 1)
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (/ 1 y))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(* -1 (* y (+ 1/2 (/ 1 y))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(* -1 (* y (+ 1/2 (/ 1 y))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (/ 1 y))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(* -1 (* y (+ 1/2 (/ 1 y))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(* -1 (* y (+ 1/2 (/ 1 y))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(- 1 (* -1 (log (/ 1 x))))
(-.f64 #s(literal 1 binary64) (log.f64 x))
(- 1 (+ (* -1 (log (/ 1 x))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 x)))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (* -1 (log (/ 1 x))) (/ 1 x)))
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (-.f64 (log.f64 x) #s(literal 1 binary64)))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x) (-.f64 (log.f64 x) #s(literal 1 binary64)))
(- 1 (+ (log -1) (* -1 (log (/ -1 x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (neg.f64 x)))
(- 1 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))) (+ (log -1) (* -1 (log (/ -1 x)))))
(-.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 x)))
(- (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))) (+ (log -1) (* -1 (log (/ -1 x)))))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (neg.f64 x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(-.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) 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))) (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x)))
(- 1 (+ (log x) (log (/ 1 y))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))
(- 1 (+ (log x) (log (/ 1 y))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))
(- 1 (+ (log x) (log (/ 1 y))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))
(- 1 (+ (log x) (log (/ 1 y))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(+.f64 (log.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))))
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(+.f64 (log.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))))
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(+.f64 (log.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))))
(- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(+.f64 (log.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))))
(- 1 (+ (log x) (* -1 (log y))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))
(- 1 (+ (log x) (* -1 (log y))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))
(- 1 (+ (log x) (* -1 (log y))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))
(- 1 (+ (log x) (* -1 (log y))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))
(- 1 (+ (log x) (log (/ 1 y))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))
(- 1 (+ (log x) (log (/ 1 y))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))
(- 1 (+ (log x) (log (/ 1 y))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))
(- 1 (+ (log x) (log (/ 1 y))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))
(- 1 (+ (log (* -1 x)) (log (/ -1 y))))
(+.f64 (log.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))))
(- 1 (+ (log (* -1 x)) (log (/ -1 y))))
(+.f64 (log.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))))
(- 1 (+ (log (* -1 x)) (log (/ -1 y))))
(+.f64 (log.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))))
(- 1 (+ (log (* -1 x)) (log (/ -1 y))))
(+.f64 (log.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
(+ (log x) (* -1 (log y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (* -1 (log y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (* -1 (log y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (* -1 (log y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log (* -1 x)) (log (/ -1 y)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 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)

eval136.0ms (1.3%)

Memory
4.2MiB live, 158.3MiB allocated
Compiler

Compiled 10 206 to 1 376 computations (86.5% saved)

prune211.0ms (2%)

Memory
-1.2MiB live, 184.1MiB allocated
Pruning

32 alts after pruning (26 fresh and 6 done)

PrunedKeptTotal
New55612568
Fresh01414
Picked145
Done022
Total55732589
Accuracy
100.0%
Counts
589 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.7%
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
42.1%
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓41.7%
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
41.3%
(fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
▶41.7%
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
45.2%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
43.6%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
▶44.6%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
43.7%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
✓65.0%
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
19.3%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (neg.f64 (log.f64 (neg.f64 y))))
41.7%
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
43.6%
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
19.9%
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))))
20.7%
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
▶42.6%
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
✓42.8%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
✓66.9%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
35.6%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
36.3%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
✓19.9%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
28.0%
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
5.5%
(-.f64 #s(literal 1 binary64) (log.f64 x))
42.5%
(-.f64 #s(literal 1 binary64) y)
43.7%
(-.f64 #s(literal 1 binary64) x)
43.5%
(+.f64 (log.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x)) #s(literal 1 binary64))
20.0%
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
▶45.5%
(+.f64 #s(literal 1 binary64) x)
3.1%
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
2.7%
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
▶3.9%
(neg.f64 y)
✓44.8%
#s(literal 1 binary64)
Compiler

Compiled 644 to 456 computations (29.2% saved)

simplify191.0ms (1.8%)

Memory
-2.3MiB live, 113.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 y y y)
✓cost-diff0
(log1p.f64 (fma.f64 y y y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64))
✓cost-diff0
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
✓cost-diff320
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓cost-diff0
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(+.f64 #s(literal 1 binary64) x)
Rules
2 132×lower-fma.f32
2 120×lower-fma.f64
1 078×lower-*.f32
1 074×lower-*.f64
712×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02093
03993
17589
213689
328589
456489
574289
6112789
7178989
8262689
9289189
10293489
11293689
12293689
13295289
14295489
15295489
16295889
0295888
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(neg.f64 y)
y
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
y
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64))
(*.f64 y y)
#s(literal 1/4 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
#s(literal 1 binary64)
(log1p.f64 (fma.f64 y y y))
(fma.f64 y y y)
y
Outputs
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(neg.f64 y)
y
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
y
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64))
(*.f64 y y)
#s(literal 1/4 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
#s(literal 1 binary64)
(log1p.f64 (fma.f64 y y y))
(fma.f64 y y y)
y

localize69.0ms (0.7%)

Memory
21.8MiB live, 140.2MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y y y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
✓accuracy81.8%
(log1p.f64 (fma.f64 y y y))
✓accuracy100.0%
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 y y)
✓accuracy82.5%
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓accuracy100.0%
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
Samples
44.0ms256×0valid
Compiler

Compiled 113 to 27 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 10.0ms (33.1% of total)
ival-add: 8.0ms (26.5% of total)
exact: 5.0ms (16.6% of total)
ival-div: 2.0ms (6.6% of total)
ival-log1p: 2.0ms (6.6% of total)
ival-neg: 2.0ms (6.6% of total)
ival-sub: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-22.7MiB live, 15.2MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (neg.f64 y)>
#<alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))>
#<alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))))>
#<alt (fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))>
#<alt (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64))>
#<alt (*.f64 y y)>
#<alt (-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))>
#<alt (log1p.f64 (fma.f64 y y y))>
#<alt (fma.f64 y y y)>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))>
#<alt (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))>
Outputs
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -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>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt -1>
#<alt (- (* -1/2 y) 1)>
#<alt (- (* -1/2 y) 1)>
#<alt (- (* -1/2 y) 1)>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* -1/2 y) 1)))>
#<alt (+ 1 (* y (- (* -1/2 y) 1)))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))>
#<alt -1>
#<alt (- (* 1/4 (pow y 2)) 1)>
#<alt (- (* 1/4 (pow y 2)) 1)>
#<alt (- (* 1/4 (pow y 2)) 1)>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (- 1/4 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/4 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/4 (/ 1 (pow y 2))))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (- 1/4 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/4 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/4 (/ 1 (pow y 2))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* -1/2 y) 1)))>
#<alt (+ 1 (* y (- (* y (- (* 2/3 y) 1/2)) 1)))>
#<alt (- 1 (* -2 (log (/ 1 y))))>
#<alt (- 1 (+ (* -2 (log (/ 1 y))) (/ 1 y)))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (* -2 (log (/ 1 y))))>
#<alt (- (+ 1 (* 2/3 (/ 1 (pow y 3)))) (+ (* -2 (log (/ 1 y))) (+ (/ 1/2 (pow y 2)) (/ 1 y))))>
#<alt (- 1 (* -2 (log (/ -1 y))))>
#<alt (- 1 (+ (* -2 (log (/ -1 y))) (/ 1 y)))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (* -2 (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (* 2/3 (/ 1 y)) 1/2) y))) y))) (* -2 (log (/ -1 y))))>
#<alt y>
#<alt (* y (+ 1 (* 1/2 y)))>
#<alt (* y (+ 1 (* y (+ 1/2 (* -2/3 y)))))>
#<alt (* y (+ 1 (* y (+ 1/2 (* y (- (* 1/4 y) 2/3))))))>
#<alt (* -2 (log (/ 1 y)))>
#<alt (+ (* -2 (log (/ 1 y))) (/ 1 y))>
#<alt (+ (* -2 (log (/ 1 y))) (+ (/ 1/2 (pow y 2)) (/ 1 y)))>
#<alt (- (+ (* -2 (log (/ 1 y))) (+ (/ 1/2 (pow y 2)) (/ 1 y))) (* 2/3 (/ 1 (pow y 3))))>
#<alt (* -2 (log (/ -1 y)))>
#<alt (+ (* -2 (log (/ -1 y))) (/ 1 y))>
#<alt (+ (* -2 (log (/ -1 y))) (+ (/ 1/2 (pow y 2)) (/ 1 y)))>
#<alt (+ (* -2 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 y))) y)) 1) y)))>
#<alt y>
#<alt (* y (+ 1 y))>
#<alt (* y (+ 1 y))>
#<alt (* y (+ 1 y))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt 1>
#<alt (+ 1 (* 1/2 y))>
#<alt (+ 1 (* y (+ 1/2 (* 1/4 y))))>
#<alt (+ 1 (* y (+ 1/2 (* y (+ 1/4 (* 1/8 y))))))>
#<alt (/ -2 y)>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 y))) y))>
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)>
#<alt (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 y))) (pow y 2))) (+ 2 (* 4 (/ 1 y)))) y)>
#<alt (/ -2 y)>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 y))) y))>
#<alt (* -1 (/ (+ 2 (+ (* 4 (/ 1 y)) (/ 8 (pow y 2)))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 y))) y)) 4) y))) y))>
#<alt 1>
#<alt (+ 1 (* -1/2 y))>
#<alt (+ 1 (* -1/2 y))>
#<alt (+ 1 (* -1/2 y))>
#<alt (* -1/2 y)>
#<alt (* y (- (/ 1 y) 1/2))>
#<alt (* y (- (/ 1 y) 1/2))>
#<alt (* y (- (/ 1 y) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (- 1/2 (/ 1 y))))>
#<alt (* -1 (* y (- 1/2 (/ 1 y))))>
#<alt (* -1 (* y (- 1/2 (/ 1 y))))>
Calls

39 calls:

TimeVariablePointExpression
2.0ms
x
@0
(+ (* x (+ (* x 1/2) 1)) 1)
0.0ms
y
@inf
(* (+ (* (* y y) 1/4) -1) (/ 1 (+ (* y -1/2) 1)))
0.0ms
y
@inf
(+ (* y (* (+ (* (* y y) 1/4) -1) (/ 1 (+ (* y -1/2) 1)))) 1)
0.0ms
y
@0
(* (+ (* (* y y) 1/4) -1) (/ 1 (+ (* y -1/2) 1)))
0.0ms
x
@-inf
(+ (* x (+ (* x 1/2) 1)) 1)

rewrite303.0ms (2.9%)

Memory
6.7MiB live, 594.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 856×lower-fma.f32
4 844×lower-fma.f64
4 230×lower-/.f32
4 228×lower-/.f64
3 478×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02080
03976
118064
2151964
0853362
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 595
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) x)
(neg.f64 y)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64))
(*.f64 y y)
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
(log1p.f64 (fma.f64 y y y))
(fma.f64 y y y)
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))
Outputs
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.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 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #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 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.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) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #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))))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 y y)) y)
(/.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 y))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 #s(literal 0 binary64) (neg.f64 y)))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))) #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))))
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simplify748.0ms (7.2%)

Memory
-171.7MiB live, 677.7MiB allocated
Algorithm
1×egg-herbie
Rules
14 172×lower-fma.f64
14 172×lower-fma.f32
4 422×lower-*.f64
4 422×lower-*.f32
3 546×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0173936
1514913
21222896
33921885
08286784
Stop Event
1×iter limit
1×node limit
Counts
156 → 152
Calls
Call 1
Inputs
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)))
(* -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
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
-1
(- (* -1/2 y) 1)
(- (* -1/2 y) 1)
(- (* -1/2 y) 1)
(* -1/2 y)
(* -1 (* y (+ 1/2 (/ 1 y))))
(* -1 (* y (+ 1/2 (/ 1 y))))
(* -1 (* y (+ 1/2 (/ 1 y))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (/ 1 y))))
(* -1 (* y (+ 1/2 (/ 1 y))))
(* -1 (* y (+ 1/2 (/ 1 y))))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* -1/2 y) 1)))
(+ 1 (* y (- (* -1/2 y) 1)))
(* -1/2 (pow y 2))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))
(* -1/2 (pow y 2))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))
-1
(- (* 1/4 (pow y 2)) 1)
(- (* 1/4 (pow y 2)) 1)
(- (* 1/4 (pow y 2)) 1)
(* 1/4 (pow y 2))
(* (pow y 2) (- 1/4 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/4 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/4 (/ 1 (pow y 2))))
(* 1/4 (pow y 2))
(* (pow y 2) (- 1/4 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/4 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/4 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* -1/2 y) 1)))
(+ 1 (* y (- (* y (- (* 2/3 y) 1/2)) 1)))
(- 1 (* -2 (log (/ 1 y))))
(- 1 (+ (* -2 (log (/ 1 y))) (/ 1 y)))
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (* -2 (log (/ 1 y))))
(- (+ 1 (* 2/3 (/ 1 (pow y 3)))) (+ (* -2 (log (/ 1 y))) (+ (/ 1/2 (pow y 2)) (/ 1 y))))
(- 1 (* -2 (log (/ -1 y))))
(- 1 (+ (* -2 (log (/ -1 y))) (/ 1 y)))
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (* -2 (log (/ -1 y))))
(- (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (* 2/3 (/ 1 y)) 1/2) y))) y))) (* -2 (log (/ -1 y))))
y
(* y (+ 1 (* 1/2 y)))
(* y (+ 1 (* y (+ 1/2 (* -2/3 y)))))
(* y (+ 1 (* y (+ 1/2 (* y (- (* 1/4 y) 2/3))))))
(* -2 (log (/ 1 y)))
(+ (* -2 (log (/ 1 y))) (/ 1 y))
(+ (* -2 (log (/ 1 y))) (+ (/ 1/2 (pow y 2)) (/ 1 y)))
(- (+ (* -2 (log (/ 1 y))) (+ (/ 1/2 (pow y 2)) (/ 1 y))) (* 2/3 (/ 1 (pow y 3))))
(* -2 (log (/ -1 y)))
(+ (* -2 (log (/ -1 y))) (/ 1 y))
(+ (* -2 (log (/ -1 y))) (+ (/ 1/2 (pow y 2)) (/ 1 y)))
(+ (* -2 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 y))) y)) 1) y)))
y
(* y (+ 1 y))
(* y (+ 1 y))
(* y (+ 1 y))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
1
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/4 y))))
(+ 1 (* y (+ 1/2 (* y (+ 1/4 (* 1/8 y))))))
(/ -2 y)
(* -1 (/ (+ 2 (* 4 (/ 1 y))) y))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 y))) (pow y 2))) (+ 2 (* 4 (/ 1 y)))) y)
(/ -2 y)
(* -1 (/ (+ 2 (* 4 (/ 1 y))) y))
(* -1 (/ (+ 2 (+ (* 4 (/ 1 y)) (/ 8 (pow y 2)))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 y))) y)) 4) y))) y))
1
(+ 1 (* -1/2 y))
(+ 1 (* -1/2 y))
(+ 1 (* -1/2 y))
(* -1/2 y)
(* y (- (/ 1 y) 1/2))
(* y (- (/ 1 y) 1/2))
(* y (- (/ 1 y) 1/2))
(* -1/2 y)
(* -1 (* y (- 1/2 (/ 1 y))))
(* -1 (* y (- 1/2 (/ 1 y))))
(* -1 (* y (- 1/2 (/ 1 y))))
Outputs
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* -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
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 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 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1/2 y) 1)
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* -1/2 y) 1)
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* -1/2 y) 1)
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (/ 1 y))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(* -1 (* y (+ 1/2 (/ 1 y))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(* -1 (* y (+ 1/2 (/ 1 y))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (/ 1 y))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(* -1 (* y (+ 1/2 (/ 1 y))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(* -1 (* y (+ 1/2 (/ 1 y))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* -1/2 y) 1)))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* y (- (* -1/2 y) 1)))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/4 (pow y 2)) 1)
(fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64))
(- (* 1/4 (pow y 2)) 1)
(fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64))
(- (* 1/4 (pow y 2)) 1)
(fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64))
(* 1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/4 binary64)))
(* (pow y 2) (- 1/4 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64))
(* (pow y 2) (- 1/4 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64))
(* (pow y 2) (- 1/4 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64))
(* 1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/4 binary64)))
(* (pow y 2) (- 1/4 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64))
(* (pow y 2) (- 1/4 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64))
(* (pow y 2) (- 1/4 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* -1/2 y) 1)))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* 2/3 y) 1/2)) 1)))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 2/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(- 1 (* -2 (log (/ 1 y))))
(fma.f64 #s(literal -2 binary64) (log.f64 y) #s(literal 1 binary64))
(- 1 (+ (* -2 (log (/ 1 y))) (/ 1 y)))
(fma.f64 #s(literal -2 binary64) (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (* -2 (log (/ 1 y))))
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (log.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 y #s(literal 1/2 binary64)))))
(- (+ 1 (* 2/3 (/ 1 (pow y 3)))) (+ (* -2 (log (/ 1 y))) (+ (/ 1/2 (pow y 2)) (/ 1 y))))
(fma.f64 #s(literal -2 binary64) (log.f64 y) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) y)) y) #s(literal 1 binary64)))
(- 1 (* -2 (log (/ -1 y))))
(fma.f64 #s(literal -2 binary64) (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(- 1 (+ (* -2 (log (/ -1 y))) (/ 1 y)))
(fma.f64 #s(literal -2 binary64) (log.f64 (neg.f64 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (* -2 (log (/ -1 y))))
(fma.f64 #s(literal -2 binary64) (log.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 y #s(literal 1/2 binary64)))))
(- (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (* 2/3 (/ 1 y)) 1/2) y))) y))) (* -2 (log (/ -1 y))))
(fma.f64 #s(literal -2 binary64) (log.f64 (neg.f64 y)) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) y)) y) #s(literal 1 binary64)))
y
(* y (+ 1 (* 1/2 y)))
(fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y)
(* y (+ 1 (* y (+ 1/2 (* -2/3 y)))))
(fma.f64 (*.f64 y y) (fma.f64 y #s(literal -2/3 binary64) #s(literal 1/2 binary64)) y)
(* y (+ 1 (* y (+ 1/2 (* y (- (* 1/4 y) 2/3))))))
(fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal -2/3 binary64)) #s(literal 1/2 binary64))) y)
(* -2 (log (/ 1 y)))
(*.f64 #s(literal 2 binary64) (log.f64 y))
(+ (* -2 (log (/ 1 y))) (/ 1 y))
(fma.f64 #s(literal 2 binary64) (log.f64 y) (/.f64 #s(literal 1 binary64) y))
(+ (* -2 (log (/ 1 y))) (+ (/ 1/2 (pow y 2)) (/ 1 y)))
(fma.f64 #s(literal 2 binary64) (log.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 y #s(literal 1/2 binary64))))
(- (+ (* -2 (log (/ 1 y))) (+ (/ 1/2 (pow y 2)) (/ 1 y))) (* 2/3 (/ 1 (pow y 3))))
(fma.f64 #s(literal 2 binary64) (log.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) y)) y)) y))
(* -2 (log (/ -1 y)))
(neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 (neg.f64 y))))
(+ (* -2 (log (/ -1 y))) (/ 1 y))
(fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
(+ (* -2 (log (/ -1 y))) (+ (/ 1/2 (pow y 2)) (/ 1 y)))
(fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (neg.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 y #s(literal 1/2 binary64))))
(+ (* -2 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 y))) y)) 1) y)))
(neg.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) y)) y))))
y
(* y (+ 1 y))
(fma.f64 y y y)
(* y (+ 1 y))
(fma.f64 y y y)
(* y (+ 1 y))
(fma.f64 y y y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 y))
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* y (+ 1/2 (* 1/4 y))))
(fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* y (+ 1/2 (* y (+ 1/4 (* 1/8 y))))))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(* -1 (/ (+ 2 (* 4 (/ 1 y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) y)) y)
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) y)) y)) y)
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 y))) (pow y 2))) (+ 2 (* 4 (/ 1 y)))) y)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -8 binary64) (/.f64 #s(literal 16 binary64) y)) y) #s(literal -4 binary64)) y)) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(* -1 (/ (+ 2 (* 4 (/ 1 y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) y)) y)
(* -1 (/ (+ 2 (+ (* 4 (/ 1 y)) (/ 8 (pow y 2)))) y))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) y)) y)) y)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 y))) y)) 4) y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -8 binary64) (/.f64 #s(literal 16 binary64) y)) y) #s(literal -4 binary64)) y)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (/ 1 y) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))
(* y (- (/ 1 y) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))
(* y (- (/ 1 y) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (- 1/2 (/ 1 y))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))
(* -1 (* y (- 1/2 (/ 1 y))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))
(* -1 (* y (- 1/2 (/ 1 y))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))

eval100.0ms (1%)

Memory
25.6MiB live, 176.0MiB allocated
Compiler

Compiled 17 880 to 2 224 computations (87.6% saved)

prune158.0ms (1.5%)

Memory
10.8MiB live, 216.4MiB allocated
Pruning

46 alts after pruning (37 fresh and 9 done)

PrunedKeptTotal
New72918747
Fresh21921
Picked235
Done066
Total73346779
Accuracy
100.0%
Counts
779 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.7%
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) y) #s(literal 1 binary64))
42.1%
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓41.7%
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
2.4%
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) y)) y)) #s(literal 1 binary64))
8.5%
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))
41.5%
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
41.5%
(fma.f64 y (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
45.2%
(fma.f64 y (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
45.2%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
43.6%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓44.6%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
43.7%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
4.0%
(fma.f64 #s(literal -2 binary64) (log.f64 (neg.f64 y)) #s(literal 1 binary64))
4.0%
(fma.f64 #s(literal -2 binary64) (log.f64 y) #s(literal 1 binary64))
45.4%
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
2.0%
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
3.7%
(/.f64 (neg.f64 (*.f64 y y)) y)
2.0%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))))
44.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
3.7%
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
45.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
✓65.0%
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
19.3%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (neg.f64 (log.f64 (neg.f64 y))))
41.7%
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
43.6%
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
19.9%
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))))
20.7%
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
✓42.8%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
✓66.9%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
35.6%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
36.3%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
✓19.9%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
28.0%
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
5.5%
(-.f64 #s(literal 1 binary64) (log.f64 x))
42.5%
(-.f64 #s(literal 1 binary64) y)
43.7%
(-.f64 #s(literal 1 binary64) x)
43.5%
(+.f64 (log.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x)) #s(literal 1 binary64))
20.0%
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
✓45.5%
(+.f64 #s(literal 1 binary64) x)
44.8%
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
45.4%
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
3.7%
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
3.1%
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
2.7%
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
✓3.9%
(neg.f64 y)
✓44.8%
#s(literal 1 binary64)
Compiler

Compiled 1 070 to 541 computations (49.4% saved)

regimes110.0ms (1.1%)

Memory
-6.2MiB live, 188.4MiB allocated
Counts
57 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 y y)) y)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(fma.f64 y (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) y)) y)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 x))
(-.f64 #s(literal 1 binary64) (log1p.f64 x))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -2 binary64) (log.f64 y) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(fma.f64 #s(literal -2 binary64) (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(+.f64 (log.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (neg.f64 (log.f64 (neg.f64 y))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y)))
Outputs
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y)))
Calls

6 calls:

20.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
19.0ms
y
18.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
17.0ms
x
17.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
83.4%3x
100.0%3y
100.0%2(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
100.0%2(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
100.0%2(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
100.0%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 52 to 34 computations (34.6% saved)

regimes65.0ms (0.6%)

Memory
-1.0MiB live, 116.6MiB allocated
Counts
56 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 y y)) y)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(fma.f64 y (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) y)) y)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 x))
(-.f64 #s(literal 1 binary64) (log1p.f64 x))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -2 binary64) (log.f64 y) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(fma.f64 #s(literal -2 binary64) (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(+.f64 (log.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (neg.f64 (log.f64 (neg.f64 y))))
Outputs
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
Calls

4 calls:

17.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
17.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
14.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
13.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Results
AccuracySegmentsBranch
100.0%2(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
100.0%2(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
100.0%2(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
100.0%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes67.0ms (0.7%)

Memory
7.7MiB live, 82.8MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 y y)) y)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(fma.f64 y (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) y)) y)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 x))
(-.f64 #s(literal 1 binary64) (log1p.f64 x))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -2 binary64) (log.f64 y) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(fma.f64 #s(literal -2 binary64) (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(+.f64 (log.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
Outputs
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
Calls

4 calls:

20.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
17.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
14.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
13.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
99.8%2(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
99.8%2(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
99.8%2(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
99.8%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes88.0ms (0.9%)

Memory
5.3MiB live, 84.1MiB allocated
Counts
51 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 y y)) y)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(fma.f64 y (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) y)) y)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 x))
(-.f64 #s(literal 1 binary64) (log1p.f64 x))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -2 binary64) (log.f64 y) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(fma.f64 #s(literal -2 binary64) (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(+.f64 (log.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
Outputs
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x)) #s(literal 1 binary64))
Calls

5 calls:

26.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
17.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
15.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
15.0ms
y
14.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Results
AccuracySegmentsBranch
99.0%3y
99.4%3(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
99.4%3(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
99.4%3(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
99.4%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes84.0ms (0.8%)

Memory
-33.8MiB live, 139.9MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 y y)) y)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(fma.f64 y (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) y)) y)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 x))
(-.f64 #s(literal 1 binary64) (log1p.f64 x))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -2 binary64) (log.f64 y) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(fma.f64 #s(literal -2 binary64) (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(+.f64 (log.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
Outputs
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
Calls

5 calls:

25.0ms
y
15.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
15.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
13.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
12.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Results
AccuracySegmentsBranch
93.3%3y
90.9%3(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
90.9%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
90.9%3(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
90.9%3(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes68.0ms (0.7%)

Memory
19.7MiB live, 134.6MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 y y)) y)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(fma.f64 y (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) y)) y)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 x))
(-.f64 #s(literal 1 binary64) (log1p.f64 x))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -2 binary64) (log.f64 y) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(fma.f64 #s(literal -2 binary64) (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
Outputs
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
Calls

5 calls:

15.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
14.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
13.0ms
y
12.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
11.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
82.8%2(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
82.8%2(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
82.8%2(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
82.8%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
82.5%2y
Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes75.0ms (0.7%)

Memory
18.6MiB live, 135.7MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 y y)) y)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(fma.f64 y (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) y)) y)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 x))
(-.f64 #s(literal 1 binary64) (log1p.f64 x))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -2 binary64) (log.f64 y) #s(literal 1 binary64))
Outputs
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
Calls

6 calls:

15.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
13.0ms
y
12.0ms
x
11.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
11.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
Results
AccuracySegmentsBranch
66.9%1x
66.9%1y
66.9%1(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
66.9%1(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
66.9%1(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
66.9%1(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 52 to 34 computations (34.6% saved)

regimes116.0ms (1.1%)

Memory
-30.4MiB live, 122.6MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 y y)) y)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(fma.f64 y (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) y)) y)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 x))
(-.f64 #s(literal 1 binary64) (log1p.f64 x))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
Outputs
(fma.f64 y (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
Calls

6 calls:

54.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
14.0ms
x
13.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
11.0ms
y
10.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
Results
AccuracySegmentsBranch
67.7%2(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
67.7%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
50.4%3y
67.3%2x
67.7%2(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
67.7%2(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 52 to 34 computations (34.6% saved)

regimes71.0ms (0.7%)

Memory
40.2MiB live, 158.1MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 y y)) y)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(fma.f64 y (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) y)) y)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 x))
(-.f64 #s(literal 1 binary64) (log1p.f64 x))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
Calls

6 calls:

16.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
11.0ms
x
11.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
11.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
10.0ms
y
Results
AccuracySegmentsBranch
45.5%1y
45.5%1x
45.5%1(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
45.5%1(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
45.5%1(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
45.5%1(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 52 to 34 computations (34.6% saved)

regimes41.0ms (0.4%)

Memory
-37.6MiB live, 91.3MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 y y)) y)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
Outputs
(+.f64 #s(literal 1 binary64) x)
Calls

6 calls:

12.0ms
x
7.0ms
y
6.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
5.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
5.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
Results
AccuracySegmentsBranch
45.5%1x
45.5%1(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
45.5%1(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
45.5%1y
45.5%1(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
45.5%1(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 52 to 34 computations (34.6% saved)

regimes9.0ms (0.1%)

Memory
30.3MiB live, 30.3MiB allocated
Accuracy

Total -26.6b remaining (-75.4%)

Threshold costs -26.6b (-75.4%)

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

6 calls:

2.0ms
x
2.0ms
y
2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
1.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
1.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
44.8%1x
44.8%1(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
44.8%1(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
44.8%1y
44.8%1(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
44.8%1(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 52 to 34 computations (34.6% saved)

bsearch2.0ms (0%)

Memory
-37.1MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.8725904220253756
0.9967124638721723
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.8725904220253756
0.9967124638721723
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999999401925248
0.9999999998412683
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000003473880246
34165658465.585445
0.0ms
0.12740957797462438
0.9018561673070197
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch200.0ms (1.9%)

Memory
28.1MiB live, 263.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
171.0ms
1.1075010036684474e-10
1.1204903362418517e+47
15.0ms
-260857.72023381968
-24.14756191952114
Samples
124.0ms1 014×0invalid
19.0ms320×0valid
Compiler

Compiled 397 to 322 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-sub: 88.0ms (78.5% of total)
ival-div: 13.0ms (11.6% of total)
ival-log: 9.0ms (8% of total)
ival-true: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.09814383269298028
0.8725904220253756
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
47746082286.31735
255144873113.3081
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify115.0ms (1.1%)

Memory
-22.7MiB live, 17.3MiB allocated
Algorithm
1×egg-herbie
Rules
258×unsub-neg_binary64
146×neg-mul-1_binary64
126×distribute-lft-neg-in_binary64
96×+-commutative_binary64
96×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073240
1111238
2157238
3202237
4252237
5287237
6377237
7509237
8575237
9645237
10690237
11721237
12739237
13744237
14746237
15749237
16754237
17755237
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 8106479329266893/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 8106479329266893/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9007198804381029/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 3602879701896397/18014398509481984 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -28 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/36028797018963968 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 50000000000 binary64)) (fma.f64 y (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 8106479329266893/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 8106479329266893/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y)) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 8106479329266893/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 8106479329266893/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9007198804381029/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9007198804381029/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 3602879701896397/18014398509481984 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x)) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x)))))
(if (<=.f64 y #s(literal -28 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -28 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/36028797018963968 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/36028797018963968 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 50000000000 binary64)) (fma.f64 y (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 50000000000 binary64)) (fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.6s (15.5%)

Memory
62.1MiB live, 1 190.0MiB allocated
Rules
14 172×lower-fma.f64
14 172×lower-fma.f32
6 808×lower-fma.f64
6 808×lower-fma.f32
6 440×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01645
03146
115246
2122743
0891843
06224165
119303643
259123210
086193069
0173936
1514913
21222896
33921885
08286784
02295
04393
121093
2168093
0934189
04392658
114202052
249431821
086721728
0941
01541
17741
266241
0872337
02080
03976
118064
2151964
0853362
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 504 to 278 computations (44.8% saved)

preprocess91.0ms (0.9%)

Memory
-19.7MiB live, 215.3MiB allocated
Compiler

Compiled 616 to 208 computations (66.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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