Logistic regression 2

Time bar (total: 4.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze78.0ms (1.7%)

Memory
37.9MiB live, 126.2MiB allocated; 16ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.4s (53.1%)

Memory
15.9MiB live, 2 960.0MiB allocated; 462ms collecting garbage
Samples
1.4s2 641×5exit
492.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-log1p: 890.0ms (58.8% of total)
adjust: 270.0ms (17.8% of total)
ival-exp: 134.0ms (8.8% of total)
ival-sub: 110.0ms (7.3% of total)
ival-mult: 108.0ms (7.1% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain111.0ms (2.4%)

Memory
-17.9MiB live, 133.4MiB allocated; 20ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
278(-3.1586655043494435e+209 1.664423555972237e-94)0-(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
00-0-(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 x))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(exp.f64 x)
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))sensitivity780
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))oflow-rescue20
(exp.f64 x)overflow2
(+.f64 #s(literal 1 binary64) (exp.f64 x))overflow2
Confusion
Predicted +Predicted -
+20
-78176
Precision
0.025
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-780176
Precision?
0.025
Recall?
1.0
Freqs
test
numberfreq
0176
180
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
39.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 8.0ms (34% of total)
ival-log1p: 5.0ms (21.2% of total)
ival-exp: 4.0ms (17% of total)
ival-add: 2.0ms (8.5% of total)
ival-sub: 2.0ms (8.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess296.0ms (6.5%)

Memory
-0.6MiB live, 270.6MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02460
15458
213058
329458
4117858
5570558
089
0139
1239
2469
3979
43169
529159
081067
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 9 to 8 computations (11.1% saved)

series61.0ms (1.3%)

Memory
38.5MiB live, 84.1MiB allocated; 3ms collecting garbage
Counts
8 → 29
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 2))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
Calls

6 calls:

TimeVariablePointExpression
30.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
21.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
4.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
2.0ms
y
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
2.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)

rewrite158.0ms (3.5%)

Memory
-10.6MiB live, 173.3MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102433
0108424
1562422
04885350
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
37 → 90
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 2))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
Outputs
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 y x)) (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x))))) (neg.f64 (fma.f64 (*.f64 y x) #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))))) (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x))))) (neg.f64 (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))))
(/.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x)))) (fma.f64 (*.f64 y x) #s(literal 1 binary64) (log1p.f64 (exp.f64 x))))
(/.f64 (*.f64 (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))))) (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x)))) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 y x)) (*.f64 #s(literal -1 binary64) x)) y (-.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (*.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 y x)))))
(/.f64 (*.f64 (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))))) (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x)))) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))))))
(fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 #s(literal -1 binary64) y) x (log1p.f64 (exp.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log1p.f64 (exp.f64 x)))
(fma.f64 y (*.f64 #s(literal -1 binary64) x) (log1p.f64 (exp.f64 x)))
(fma.f64 x (*.f64 #s(literal -1 binary64) y) (log1p.f64 (exp.f64 x)))
(-.f64 (/.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 y x) #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 y x)))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(log.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (expm1.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(neg.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 x)
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 y x)))
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))
#s(approx (+ 1 (exp x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x y) (*.f64 y x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 #s(literal -1 binary64) x)) (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 #s(literal -1 binary64) y) y))) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) x))
#s(approx (log (+ 1 (exp x))) (log1p.f64 (exp.f64 x)))
#s(approx (+ 1 (exp x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x))))
#s(approx y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 #s(literal -1 binary64) y)) (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 #s(literal -1 binary64) x) x))) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) y)))

eval11.0ms (0.2%)

Memory
20.7MiB live, 20.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 742 to 344 computations (80.3% saved)

prune40.0ms (0.9%)

Memory
-4.2MiB live, 45.9MiB allocated; 17ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New89392
Fresh000
Picked101
Done000
Total90393
Accuracy
99.7%
Counts
93 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log1p.f64 (exp.f64 x)))
67.8%
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))))
82.9%
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
Compiler

Compiled 100 to 42 computations (58% saved)

series250.0ms (5.5%)

Memory
-57.2MiB live, 259.7MiB allocated; 111ms collecting garbage
Counts
29 → 153
Calls
Call 1
Inputs
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
#s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
y
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))))
(/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))))))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
#s(literal 3 binary64)
(fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))
(log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)
(fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
(*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))
(/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))))))
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log1p.f64 (exp.f64 x)))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))))) #s(hole binary64 (/ (pow (log 2) 3) (pow (log 1/2) 2))))
#s(approx (- (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ (pow (log 2) 2) (pow (log 1/2) 2))) (/ (pow (log 2) 2) (pow (log 1/2) 2))) (/ (* (pow (log 2) 3) (+ (* -1 (log 1/2)) (* y (log 2)))) (pow (log 1/2) 4)))) (/ (pow (log 2) 3) (pow (log 1/2) 2)))))
#s(approx (- (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ (pow (log 2) 2) (pow (log 1/2) 2))) (+ (* x (- (+ (* 1/8 (/ (pow (log 2) 2) (pow (log 1/2) 2))) (+ (* 1/2 (/ (log 2) (pow (log 1/2) 2))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (pow (log 1/2) 2)))) (+ (/ (* (+ (* -1 (log 1/2)) (* y (log 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (pow (log 1/2) 2))) (/ (pow (log 2) 2) (pow (log 1/2) 2))) (/ (* (pow (log 2) 3) (+ (* -1 (log 1/2)) (* y (log 2)))) (pow (log 1/2) 4)))) (pow (log 1/2) 2)) (/ (* (pow (log 2) 3) (+ 1/4 (+ (* -1/4 (log 1/2)) (+ (* 1/2 y) (pow y 2))))) (pow (log 1/2) 4))))) (/ (pow (log 2) 2) (pow (log 1/2) 2)))) (/ (* (pow (log 2) 3) (+ (* -1 (log 1/2)) (* y (log 2)))) (pow (log 1/2) 4)))) (/ (pow (log 2) 3) (pow (log 1/2) 2)))))
#s(approx (- (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ (pow (log 2) 2) (pow (log 1/2) 2))) (+ (* x (- (+ (* 1/8 (/ (pow (log 2) 2) (pow (log 1/2) 2))) (+ (* 1/2 (/ (log 2) (pow (log 1/2) 2))) (+ (* x (- (+ (* 1/4 (/ (log 2) (pow (log 1/2) 2))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 1/2) 2)))) (+ (/ (* (+ 1/4 (+ (* -1/4 (log 1/2)) (+ (* 1/2 y) (pow y 2)))) (- (+ (* 1/2 (/ (pow (log 2) 2) (pow (log 1/2) 2))) (/ (pow (log 2) 2) (pow (log 1/2) 2))) (/ (* (pow (log 2) 3) (+ (* -1 (log 1/2)) (* y (log 2)))) (pow (log 1/2) 4)))) (pow (log 1/2) 2)) (+ (/ (* (+ (* -1 (log 1/2)) (* y (log 2))) (- (+ (* 1/8 (/ (pow (log 2) 2) (pow (log 1/2) 2))) (+ (* 1/2 (/ (log 2) (pow (log 1/2) 2))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (pow (log 1/2) 2)))) (+ (/ (* (+ (* -1 (log 1/2)) (* y (log 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (pow (log 1/2) 2))) (/ (pow (log 2) 2) (pow (log 1/2) 2))) (/ (* (pow (log 2) 3) (+ (* -1 (log 1/2)) (* y (log 2)))) (pow (log 1/2) 4)))) (pow (log 1/2) 2)) (/ (* (pow (log 2) 3) (+ 1/4 (+ (* -1/4 (log 1/2)) (+ (* 1/2 y) (pow y 2))))) (pow (log 1/2) 4))))) (pow (log 1/2) 2)) (+ (/ (* (pow (log 2) 3) (+ 1/8 (* 1/8 y))) (pow (log 1/2) 4)) (/ (pow y 3) (pow (log 1/2) 2))))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (pow (log 1/2) 2))))) (+ (/ (* (+ (* -1 (log 1/2)) (* y (log 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (pow (log 1/2) 2))) (/ (pow (log 2) 2) (pow (log 1/2) 2))) (/ (* (pow (log 2) 3) (+ (* -1 (log 1/2)) (* y (log 2)))) (pow (log 1/2) 4)))) (pow (log 1/2) 2)) (/ (* (pow (log 2) 3) (+ 1/4 (+ (* -1/4 (log 1/2)) (+ (* 1/2 y) (pow y 2))))) (pow (log 1/2) 4))))) (/ (pow (log 2) 2) (pow (log 1/2) 2)))) (/ (* (pow (log 2) 3) (+ (* -1 (log 1/2)) (* y (log 2)))) (pow (log 1/2) 4)))) (/ (pow (log 2) 3) (pow (log 1/2) 2)))))
#s(approx (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) #s(hole binary64 (/ (pow (log 2) 3) (pow (log 1/2) 2))))
#s(approx (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ (pow (log 2) 2) (pow (log 1/2) 2))) (/ (pow (log 2) 2) (pow (log 1/2) 2))) (/ (* (pow (log 2) 3) (+ (* -1 (log 1/2)) (* y (log 2)))) (pow (log 1/2) 4)))) (/ (pow (log 2) 3) (pow (log 1/2) 2)))))
#s(approx (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ (pow (log 2) 2) (pow (log 1/2) 2))) (+ (* x (- (+ (* 1/8 (/ (pow (log 2) 2) (pow (log 1/2) 2))) (+ (* 1/2 (/ (log 2) (pow (log 1/2) 2))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (pow (log 1/2) 2)))) (+ (/ (* (+ (* -1 (log 1/2)) (* y (log 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (pow (log 1/2) 2))) (/ (pow (log 2) 2) (pow (log 1/2) 2))) (/ (* (pow (log 2) 3) (+ (* -1 (log 1/2)) (* y (log 2)))) (pow (log 1/2) 4)))) (pow (log 1/2) 2)) (/ (* (pow (log 2) 3) (+ 1/4 (+ (* -1/4 (log 1/2)) (+ (* 1/2 y) (pow y 2))))) (pow (log 1/2) 4))))) (/ (pow (log 2) 2) (pow (log 1/2) 2)))) (/ (* (pow (log 2) 3) (+ (* -1 (log 1/2)) (* y (log 2)))) (pow (log 1/2) 4)))) (/ (pow (log 2) 3) (pow (log 1/2) 2)))))
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#s(approx (+ (* (* y x) -1) (log (+ 1 (exp x)))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
Calls

6 calls:

TimeVariablePointExpression
114.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 x 1 (log 2) 2 (* x y) y (- (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))))) (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (pow (log (+ 1 (exp x))) 3) (log (+ 1 (exp x))) (exp x) 3 (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))) (log (pow (+ (* (exp x) 1) 1) -1)) (pow (+ (* (exp x) 1) 1) -1) (+ (* (exp x) 1) 1) -1 (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))) (* (* y x) y) (* y x) (* (* y x) (log (+ 1 (exp x)))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (pow (* y x) 3) (+ (* (* y x) -1) (log (+ 1 (exp x)))))
53.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 x 1 (log 2) 2 (* x y) y (- (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))))) (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (pow (log (+ 1 (exp x))) 3) (log (+ 1 (exp x))) (exp x) 3 (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))) (log (pow (+ (* (exp x) 1) 1) -1)) (pow (+ (* (exp x) 1) 1) -1) (+ (* (exp x) 1) 1) -1 (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))) (* (* y x) y) (* y x) (* (* y x) (log (+ 1 (exp x)))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (pow (* y x) 3) (+ (* (* y x) -1) (log (+ 1 (exp x)))))
34.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 x 1 (log 2) 2 (* x y) y (- (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))))) (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (pow (log (+ 1 (exp x))) 3) (log (+ 1 (exp x))) (exp x) 3 (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))) (log (pow (+ (* (exp x) 1) 1) -1)) (pow (+ (* (exp x) 1) 1) -1) (+ (* (exp x) 1) 1) -1 (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))) (* (* y x) y) (* y x) (* (* y x) (log (+ 1 (exp x)))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (pow (* y x) 3) (+ (* (* y x) -1) (log (+ 1 (exp x)))))
16.0ms
y
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 x 1 (log 2) 2 (* x y) y (- (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))))) (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (pow (log (+ 1 (exp x))) 3) (log (+ 1 (exp x))) (exp x) 3 (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))) (log (pow (+ (* (exp x) 1) 1) -1)) (pow (+ (* (exp x) 1) 1) -1) (+ (* (exp x) 1) 1) -1 (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))) (* (* y x) y) (* y x) (* (* y x) (log (+ 1 (exp x)))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (pow (* y x) 3) (+ (* (* y x) -1) (log (+ 1 (exp x)))))
13.0ms
x
@0
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 x 1 (log 2) 2 (* x y) y (- (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))))) (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (pow (log (+ 1 (exp x))) 3) (log (+ 1 (exp x))) (exp x) 3 (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))) (log (pow (+ (* (exp x) 1) 1) -1)) (pow (+ (* (exp x) 1) 1) -1) (+ (* (exp x) 1) 1) -1 (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))) (* (* y x) y) (* y x) (* (* y x) (log (+ 1 (exp x)))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (pow (* y x) 3) (+ (* (* y x) -1) (log (+ 1 (exp x)))))

rewrite236.0ms (5.2%)

Memory
23.7MiB live, 251.0MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093310159
09787929
163057897
084127675
Stop Event
iter limit
node limit
iter limit
Counts
182 → 298
Calls
Call 1
Inputs
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
#s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
y
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(/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))))))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
#s(literal 3 binary64)
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#s(literal -1 binary64)
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(*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))
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(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log1p.f64 (exp.f64 x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
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#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
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#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
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#s(approx (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow x 4))) (/ (* (pow (log (+ 1 (exp x))) 3) (pow (log (/ 1 (+ 1 (exp x)))) 2)) (pow x 4)))) x)) (* -1 (/ (* (pow (log (+ 1 (exp x))) 4) (pow (log (/ 1 (+ 1 (exp x)))) 2)) (pow x 5)))) (pow y 3))) (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (* (pow x 4) (pow y 2)))) (+ (/ (* (pow (log (+ 1 (exp x))) 3) (pow (log (/ 1 (+ 1 (exp x)))) 2)) (* (pow x 4) (pow y 2))) (/ (pow (log (+ 1 (exp x))) 4) (* (pow x 3) y))))) (pow y 2))))
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#s(approx (- (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))))) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
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#s(approx (- (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))))) #s(hole binary64 (* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 3) (pow x 2)) (+ (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (/ 1 (+ 1 (exp x)))) 2) x))) x) (/ (* (log (+ 1 (exp x))) (pow (log (/ 1 (+ 1 (exp x)))) 2)) (pow x 2)))) y)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (/ 1 (+ 1 (exp x)))) 2) x))) y)) (* -1 (log (+ 1 (exp x))))) y)) (* -1 x))))))
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#s(approx (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) #s(hole binary64 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow x 4))) (/ (* (pow (log (+ 1 (exp x))) 3) (pow (log (/ 1 (+ 1 (exp x)))) 2)) (pow x 4)))) (* x y)) (/ (* (pow (log (+ 1 (exp x))) 4) (pow (log (/ 1 (+ 1 (exp x)))) 2)) (* (pow x 5) y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow x 4))) (/ (* (pow (log (+ 1 (exp x))) 3) (pow (log (/ 1 (+ 1 (exp x)))) 2)) (pow x 4)))) y)) (* -1 (/ (pow (log (+ 1 (exp x))) 4) (pow x 3)))) y)) (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (pow y 2))))
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#s(approx (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 (fma.f64 (/.f64 (*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) y) #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) y)) y) (/.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) (log1p.f64 (exp.f64 x))) (*.f64 y y)))) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64) y) (fma.f64 (/.f64 (*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x x) y)) #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) (*.f64 (*.f64 x x) y)) (/.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) x))))) x))
#s(approx (+ (* (* y x) -1) (log (+ 1 (exp x)))) (*.f64 (*.f64 y x) #s(literal -1 binary64)))
#s(approx (+ (* (* y x) -1) (log (+ 1 (exp x)))) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) x))) x))
#s(approx (+ (* (* y x) -1) (log (+ 1 (exp x)))) (*.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) y))))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
#s(approx (- (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))))) (*.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) y))))
#s(approx (- (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))))) (*.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) (*.f64 y x)) #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) (*.f64 y x)) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) x) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) y))))
#s(approx (- (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))))) (*.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (*.f64 y y)) (fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 (fma.f64 (/.f64 (*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) y) #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) y)) y) (/.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) (log1p.f64 (exp.f64 x))) (*.f64 y y)))) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) y) #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) y))) x) #s(literal -1 binary64) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) x) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) y))))
#s(approx (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 5 binary64)) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) x)) #s(literal -1 binary64) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) x)))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (*.f64 (*.f64 y y) y)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (*.f64 y y))) (*.f64 x x)))
#s(approx (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 5 binary64)) (pow.f64 (*.f64 y y) #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) (pow.f64 (*.f64 y y) #s(literal 2 binary64))))) y) (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) x) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 5 binary64)) (pow.f64 (*.f64 y y) #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) (pow.f64 (*.f64 y y) #s(literal 2 binary64))))))) x) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (*.f64 (*.f64 y y) y)))) x) #s(literal -1 binary64) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (*.f64 y y))) (*.f64 x x)))
#s(approx (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) x) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) y) (log1p.f64 (exp.f64 x)))) x) #s(literal -1 binary64) (*.f64 y y)) (*.f64 x x)))
#s(approx (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (*.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal -1 binary64) y (/.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (*.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) y) #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) y)) x) #s(literal -1 binary64) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) x) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) y))))
#s(approx (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (*.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 (fma.f64 (/.f64 (*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) y) #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) y)) y) (/.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) (log1p.f64 (exp.f64 x))) (*.f64 y y))) x) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) y) #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) y))) x) #s(literal -1 binary64) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) x) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) y))))
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#s(approx (+ (* (* y x) -1) (log (+ 1 (exp x)))) (log1p.f64 (exp.f64 x)))
#s(approx (+ (* (* y x) -1) (log (+ 1 (exp x)))) (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x))))
#s(approx y y)
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#s(approx (- (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))))) (*.f64 (*.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 (fma.f64 (/.f64 (*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) x) #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) x)) x) (/.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) (log1p.f64 (exp.f64 x))) (*.f64 x x)))) y) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) x) #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) x))) y) #s(literal -1 binary64) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) y) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) x))))
#s(approx (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) y) (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 5 binary64)) (*.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) y)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) y) #s(literal -1 binary64) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (*.f64 x x))) (*.f64 y y)))
#s(approx (/ (pow (log (+ 1 (exp x))) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) (pow.f64 (*.f64 x x) #s(literal 2 binary64))))) y) (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) y)) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) (pow.f64 (*.f64 x x) #s(literal 2 binary64))))))) y) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (*.f64 (*.f64 x x) x)))) y) #s(literal -1 binary64) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (*.f64 x x))) (*.f64 y y)))
#s(approx (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x)))))) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) y) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) x) (log1p.f64 (exp.f64 x)))) y) #s(literal -1 binary64) (*.f64 x x)) (*.f64 y y)))
#s(approx (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (*.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) y)))))
#s(approx (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (*.f64 (*.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) x) #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) x)) y) #s(literal -1 binary64) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) y) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (pow (* y x) 3) (+ (* (log (pow (+ (* (exp x) 1) 1) -1)) (log (pow (+ (* (exp x) 1) 1) -1))) (+ (* (* (* y x) y) x) (* (* y x) (log (+ 1 (exp x))))))) (*.f64 (*.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 (fma.f64 (/.f64 (*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) x) #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) x)) x) (/.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) (log1p.f64 (exp.f64 x))) (*.f64 x x))) y) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) x) #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) x))) y) #s(literal -1 binary64) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) y) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ (* (* y x) -1) (log (+ 1 (exp x)))) (*.f64 (*.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) x)))

eval96.0ms (2.1%)

Memory
-19.0MiB live, 175.3MiB allocated; 16ms collecting garbage
Compiler

Compiled 51 090 to 2 203 computations (95.7% saved)

prune263.0ms (5.8%)

Memory
16.3MiB live, 397.8MiB allocated; 45ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New6141615
Fresh000
Picked123
Done000
Total6153618
Accuracy
99.7%
Counts
618 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 x)))))
67.8%
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))))
82.9%
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
Compiler

Compiled 112 to 48 computations (57.1% saved)

series130.0ms (2.9%)

Memory
21.5MiB live, 164.0MiB allocated; 10ms collecting garbage
Counts
13 → 49
Calls
Call 1
Inputs
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 x)))))
(*.f64 y x)
y
x
#s(literal -1 binary64)
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 x))))
(log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(pow.f64 (exp.f64 x) #s(literal 3 binary64))
(exp.f64 x)
#s(literal 3 binary64)
(log1p.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 x)))
(-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (exp.f64 x))
Outputs
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (log 2)))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* -1 y))))))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* 3/2 x))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* x (+ 3/2 (* 9/8 x))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* x (+ 3/2 (* x (+ 9/8 (* -27/64 (pow x 2)))))))))
#s(approx (pow (exp x) 3) #s(hole binary64 1))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) #s(hole binary64 x))
#s(approx (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) #s(hole binary64 (* x (+ 1 x))))
#s(approx (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* -5/12 (pow x 2))))))))
#s(approx (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* (pow x 2) (- (* 91/360 (pow x 2)) 5/12))))))))
#s(approx (- (* (exp x) (exp x)) (exp x)) #s(hole binary64 x))
#s(approx (- (* (exp x) (exp x)) (exp x)) #s(hole binary64 (* x (+ 1 (* 3/2 x)))))
#s(approx (- (* (exp x) (exp x)) (exp x)) #s(hole binary64 (* x (+ 1 (* x (+ 3/2 (* 7/6 x)))))))
#s(approx (- (* (exp x) (exp x)) (exp x)) #s(hole binary64 (* x (+ 1 (* x (+ 3/2 (* x (+ 7/6 (* 5/8 x)))))))))
#s(approx (* (exp x) (exp x)) #s(hole binary64 1))
#s(approx (* (exp x) (exp x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (* (exp x) (exp x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (* (exp x) (exp x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (* x (- (+ (* -1 y) (/ (log (+ 1 (pow (exp x) 3))) x)) (/ (log (- (+ 1 (pow (exp x) 2)) (exp x))) x)))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (log (+ 1 (pow (exp x) 3)))))
#s(approx (pow (exp x) 3) #s(hole binary64 (pow (exp x) 3)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) #s(hole binary64 (log (- (+ 1 (pow (exp x) 2)) (exp x)))))
#s(approx (- (* (exp x) (exp x)) (exp x)) #s(hole binary64 (- (pow (exp x) 2) (exp x))))
#s(approx (* (exp x) (exp x)) #s(hole binary64 (pow (exp x) 2)))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x)))) x)))))))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x))))))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (- (+ (log (+ 1 (pow (exp x) 3))) (* -1 (* x y))) (log (- (+ 1 (pow (exp x) 2)) (exp x))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (* y (- (+ (* -1 x) (/ (log (+ 1 (pow (exp x) 3))) y)) (/ (log (- (+ 1 (pow (exp x) 2)) (exp x))) y)))))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x)))) y)))))))
Calls

6 calls:

TimeVariablePointExpression
78.0ms
x
@-inf
((+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) (* y x) y x -1 (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) 3 (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) (- (* (exp x) (exp x)) (exp x)) (* (exp x) (exp x)))
36.0ms
x
@inf
((+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) (* y x) y x -1 (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) 3 (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) (- (* (exp x) (exp x)) (exp x)) (* (exp x) (exp x)))
7.0ms
y
@0
((+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) (* y x) y x -1 (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) 3 (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) (- (* (exp x) (exp x)) (exp x)) (* (exp x) (exp x)))
3.0ms
y
@-inf
((+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) (* y x) y x -1 (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) 3 (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) (- (* (exp x) (exp x)) (exp x)) (* (exp x) (exp x)))
3.0ms
y
@inf
((+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) (* y x) y x -1 (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) 3 (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) (- (* (exp x) (exp x)) (exp x)) (* (exp x) (exp x)))

rewrite155.0ms (3.4%)

Memory
6.8MiB live, 191.5MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02181057
0236990
11411990
08075932
Stop Event
iter limit
node limit
iter limit
Counts
62 → 138
Calls
Call 1
Inputs
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 x)))))
(*.f64 y x)
y
x
#s(literal -1 binary64)
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 x))))
(log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(pow.f64 (exp.f64 x) #s(literal 3 binary64))
(exp.f64 x)
#s(literal 3 binary64)
(log1p.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 x)))
(-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (exp.f64 x))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (log 2)))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* -1 y))))))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* 3/2 x))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* x (+ 3/2 (* 9/8 x))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* x (+ 3/2 (* x (+ 9/8 (* -27/64 (pow x 2)))))))))
#s(approx (pow (exp x) 3) #s(hole binary64 1))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) #s(hole binary64 x))
#s(approx (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) #s(hole binary64 (* x (+ 1 x))))
#s(approx (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* -5/12 (pow x 2))))))))
#s(approx (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* (pow x 2) (- (* 91/360 (pow x 2)) 5/12))))))))
#s(approx (- (* (exp x) (exp x)) (exp x)) #s(hole binary64 x))
#s(approx (- (* (exp x) (exp x)) (exp x)) #s(hole binary64 (* x (+ 1 (* 3/2 x)))))
#s(approx (- (* (exp x) (exp x)) (exp x)) #s(hole binary64 (* x (+ 1 (* x (+ 3/2 (* 7/6 x)))))))
#s(approx (- (* (exp x) (exp x)) (exp x)) #s(hole binary64 (* x (+ 1 (* x (+ 3/2 (* x (+ 7/6 (* 5/8 x)))))))))
#s(approx (* (exp x) (exp x)) #s(hole binary64 1))
#s(approx (* (exp x) (exp x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (* (exp x) (exp x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (* (exp x) (exp x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (* x (- (+ (* -1 y) (/ (log (+ 1 (pow (exp x) 3))) x)) (/ (log (- (+ 1 (pow (exp x) 2)) (exp x))) x)))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (log (+ 1 (pow (exp x) 3)))))
#s(approx (pow (exp x) 3) #s(hole binary64 (pow (exp x) 3)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) #s(hole binary64 (log (- (+ 1 (pow (exp x) 2)) (exp x)))))
#s(approx (- (* (exp x) (exp x)) (exp x)) #s(hole binary64 (- (pow (exp x) 2) (exp x))))
#s(approx (* (exp x) (exp x)) #s(hole binary64 (pow (exp x) 2)))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x)))) x)))))))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x))))))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (- (+ (log (+ 1 (pow (exp x) 3))) (* -1 (* x y))) (log (- (+ 1 (pow (exp x) 2)) (exp x))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (* y (- (+ (* -1 x) (/ (log (+ 1 (pow (exp x) 3))) y)) (/ (log (- (+ 1 (pow (exp x) 2)) (exp x))) y)))))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x)))) y)))))))
Outputs
(/.f64 (-.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))) (pow.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) (*.f64 (*.f64 x y) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) (-.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))))) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))))
(/.f64 (fma.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) (pow.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (fabs.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))) (fabs.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))) (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) (*.f64 (*.f64 x y) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))))) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) #s(literal 3 binary64))) (fma.f64 (fabs.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fabs.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) (-.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (*.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))))) (neg.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))))) (neg.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) (neg.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64))) (-.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))) (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))) (*.f64 (*.f64 x y) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (*.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))) (+.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))))) (-.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) (neg.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64))) (-.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))) (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))) (*.f64 (*.f64 x y) #s(literal -1 binary64)))))))
(fma.f64 (*.f64 #s(literal -1 binary64) x) y (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))))
(fma.f64 (*.f64 x y) #s(literal -1 binary64) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))))
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(*.f64 (exp.f64 x) (exp.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) x)
(pow.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(fabs.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) (fma.f64 (+.f64 (fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1 binary64) y)) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (*.f64 #s(literal -1 binary64) y)) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (* y x) (*.f64 x y))
#s(approx x x)
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (pow (exp x) 3))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (pow (exp x) 3))) (fma.f64 #s(literal 3/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (pow (exp x) 3))) (fma.f64 (fma.f64 #s(literal 9/8 binary64) x #s(literal 3/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (pow (exp x) 3))) (fma.f64 (fma.f64 (fma.f64 #s(literal -27/64 binary64) (*.f64 x x) #s(literal 9/8 binary64)) x #s(literal 3/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (pow (exp x) 3) #s(literal 1 binary64))
#s(approx (pow (exp x) 3) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (pow (exp x) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (pow (exp x) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) x)
#s(approx (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 91/360 binary64) (*.f64 x x)) #s(literal 5/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (* (exp x) (exp x)) (exp x)) x)
#s(approx (- (* (exp x) (exp x)) (exp x)) (*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (* (exp x) (exp x)) (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 7/6 binary64) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (* (exp x) (exp x)) (exp x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/8 binary64) x #s(literal 7/6 binary64)) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (exp x) (exp x)) #s(literal 1 binary64))
#s(approx (* (exp x) (exp x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (* (exp x) (exp x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (exp x) (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) (*.f64 (*.f64 x y) #s(literal -1 binary64)))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) x)) x))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x))))) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))))
#s(approx (log (+ 1 (pow (exp x) 3))) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))))
#s(approx (pow (exp x) 3) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (log (+ 1 (- (* (exp x) (exp x)) (exp x)))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))
#s(approx (- (* (exp x) (exp x)) (exp x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
#s(approx (* (exp x) (exp x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) (*.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) x) #s(literal -1 binary64) y)))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))))
#s(approx y y)
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) y)) y))
#s(approx (+ (* (* y x) -1) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (* (exp x) (exp x)) (exp x)))))) (*.f64 (*.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) y) #s(literal -1 binary64) x)))

eval27.0ms (0.6%)

Memory
4.4MiB live, 49.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 6 222 to 827 computations (86.7% saved)

prune85.0ms (1.9%)

Memory
-21.2MiB live, 129.5MiB allocated; 8ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1820182
Fresh000
Picked011
Done022
Total1823185
Accuracy
99.7%
Counts
185 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 x)))))
67.8%
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))))
82.9%
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
Compiler

Compiled 241 to 91 computations (62.2% saved)

regimes6.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 x)))))
Outputs
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log1p.f64 (exp.f64 x)))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.2%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
99.2%1x
99.2%1y
Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes5.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Calls

3 calls:

2.0ms
y
2.0ms
x
1.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.2%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
99.2%1x
99.2%1y
Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes5.0ms (0.1%)

Memory
-40.3MiB live, 6.8MiB allocated; 1ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
Outputs
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
Calls

3 calls:

2.0ms
x
2.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
1.0ms
y
Results
AccuracySegmentsBranch
82.9%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
82.9%1x
82.9%1y
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify51.0ms (1.1%)

Memory
-4.8MiB live, 46.8MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02234
13634
25834
312134
447134
5515534
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
Outputs
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y))

derivations31.0ms (0.7%)

Memory
30.5MiB live, 30.5MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 34 to 23 computations (32.4% saved)

preprocess26.0ms (0.6%)

Memory
2.0MiB live, 49.4MiB allocated; 2ms collecting garbage
Compiler

Compiled 86 to 62 computations (27.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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