symmetry log of sum of exp

Time bar (total: 9.0s)

start0.0ms (0%)

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

analyze185.0ms (2.1%)

Memory
21.0MiB live, 215.0MiB allocated; 24ms 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
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
50%50%50%0.1%0%0%0%5
50%50%50%0.1%0%0%0%6
50%50%50%0.1%0%0%0%7
50%50%50%0.1%0%0%0%8
50%50%50%0.1%0%0%0%9
50%50%50%0.1%0%0%0%10
50%50%50%0.1%0%0%0%11
50%50%50%0.1%0%0%0%12
Compiler

Compiled 8 to 8 computations (0% saved)

sample5.9s (66%)

Memory
-88.4MiB live, 5 621.3MiB allocated; 2.3s collecting garbage
Samples
3.3s7 818×5exit
851.0ms1 632×2valid
446.0ms2 276×1valid
269.0ms4 348×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.2s
ival-exp: 2.1s (50.8% of total)
ival-log: 1.1s (26.3% of total)
adjust: 748.0ms (17.9% of total)
ival-add!: 205.0ms (4.9% of total)
Bogosity

explain178.0ms (2%)

Memory
-44.1MiB live, 161.0MiB allocated; 46ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1260-0-(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))sensitivity1220
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))oflow-rescue40
(+.f64 (exp.f64 a) (exp.f64 b))overflow4
(exp.f64 a)overflow1
(exp.f64 b)overflow3
Confusion
Predicted +Predicted -
+1260
-0130
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12600
-00130
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0130
1126
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
62.0ms116×2valid
29.0ms122×1valid
16.0ms274×0valid
Compiler

Compiled 44 to 22 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-log: 48.0ms (54.5% of total)
ival-exp: 32.0ms (36.3% of total)
adjust: 5.0ms (5.7% of total)
ival-add!: 3.0ms (3.4% of total)

preprocess36.0ms (0.4%)

Memory
35.0MiB live, 35.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01842
13742
29442
335842
4177342
5696742
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Symmetry

(sort a b)

Compiler

Compiled 12 to 12 computations (0% saved)

series99.0ms (1.1%)

Memory
-2.8MiB live, 102.4MiB allocated; 33ms collecting garbage
Counts
6 → 30
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
b
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))
Calls

6 calls:

TimeVariablePointExpression
37.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
33.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
14.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
14.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
1.0ms
a
@0
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)

rewrite185.0ms (2.1%)

Memory
-4.9MiB live, 227.7MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133549
0137533
1867533
08509485
Stop Event
iter-limit
node-limit
iter-limit
Counts
36 → 71
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
b
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))
Outputs
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) (exp.f64 a))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (exp.f64 b))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (+.f64 (exp.f64 b) (cosh.f64 a)) (sinh.f64 a))
(+.f64 (+.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(+.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) (exp.f64 a)))
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (-.f64 (cosh.f64 a) (sinh.f64 a)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(fma.f64 (cosh.f64 a) #s(literal 1 binary64) (*.f64 (sinh.f64 a) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 a) (*.f64 #s(literal 1 binary64) (sinh.f64 a)))
(exp.f64 (+.f64 #s(literal 0 binary64) a))
(exp.f64 a)
(+.f64 (*.f64 (cosh.f64 a) #s(literal 1 binary64)) (*.f64 (sinh.f64 a) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 a)) (*.f64 #s(literal 1 binary64) (sinh.f64 a)))
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 b) (sinh.f64 b))) (-.f64 (cosh.f64 b) (sinh.f64 b)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (sinh.f64 b) (sinh.f64 b)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))
(fma.f64 (cosh.f64 b) #s(literal 1 binary64) (*.f64 (sinh.f64 b) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 b) (*.f64 #s(literal 1 binary64) (sinh.f64 b)))
(exp.f64 (+.f64 #s(literal 0 binary64) b))
(exp.f64 b)
(+.f64 (*.f64 (cosh.f64 b) #s(literal 1 binary64)) (*.f64 (sinh.f64 b) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 b)) (*.f64 #s(literal 1 binary64) (sinh.f64 b)))
(+.f64 (cosh.f64 b) (sinh.f64 b))
b
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) a (log1p.f64 (exp.f64 b))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (fma.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))) (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) a (log1p.f64 (exp.f64 b))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 a) b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (exp b) (exp.f64 b))

eval7.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 099 to 293 computations (73.3% saved)

prune27.0ms (0.3%)

Memory
-32.3MiB live, 15.0MiB allocated; 1ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New601171
Fresh000
Picked011
Done000
Total601272
Accuracy
99.0%
Counts
72 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
55.1%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
53.6%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
53.2%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
52.5%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
49.9%
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
51.1%
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
49.7%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
97.6%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
50.9%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))
51.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
50.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
Compiler

Compiled 328 to 254 computations (22.6% saved)

series104.0ms (1.2%)

Memory
-1.8MiB live, 144.4MiB allocated; 10ms collecting garbage
Counts
29 → 88
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
a
#s(literal -1 binary64)
(log1p.f64 (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
(exp.f64 b)
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
Calls

6 calls:

TimeVariablePointExpression
34.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6)
26.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6)
18.0ms
a
@0
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6)
12.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6)
9.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6)

rewrite187.0ms (2.1%)

Memory
-1.0MiB live, 140.9MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03361718
03681611
120171607
090431553
Stop Event
iter-limit
node-limit
iter-limit
Counts
117 → 262
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
a
#s(literal -1 binary64)
(log1p.f64 (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
(exp.f64 b)
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))))
(-.f64 (/.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 b) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (+.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
#s(literal -1 binary64)
(log1p.f64 (exp.f64 a))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (exp.f64 b) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))
(+.f64 (/.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))
(+.f64 (exp.f64 b) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64))) (neg.f64 (+.f64 a #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 a a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (+.f64 a #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 a a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1 binary64))))
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(-.f64 a #s(literal -1 binary64))
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(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) a))
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))
#s(literal 1/6 binary64)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a (log1p.f64 (exp.f64 b))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a (log1p.f64 (exp.f64 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (/ b (- (exp a) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (- (exp a) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 b #s(literal 0 binary64)) (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (- a -1) #s(literal 1 binary64))
#s(approx (- a -1) (+.f64 #s(literal 1 binary64) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (+.f64 #s(literal 1 binary64) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* 1/2 a) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+.f64 #s(literal 1 binary64) a))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 a) 1/2) (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (/ b (- (exp a) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (- a -1) a)
#s(approx (- a -1) (fma.f64 #s(literal 1 binary64) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (+.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -2 binary64))) (*.f64 a a)))
#s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (+ (* 1/2 a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 a #s(literal -2 binary64))) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 a #s(literal -2 binary64)))) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 a a)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 a #s(literal -2 binary64))) #s(literal 1/6 binary64)) (*.f64 a a)))
#s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a))
#s(approx (+ (* 1/6 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) a))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)) a)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -2 binary64))) a)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log1p.f64 (exp.f64 a)))
#s(approx b b)
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)))

eval34.0ms (0.4%)

Memory
37.6MiB live, 37.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 8 558 to 1 472 computations (82.8% saved)

prune28.0ms (0.3%)

Memory
-21.3MiB live, 23.5MiB allocated; 6ms collecting garbage
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New31012322
Fresh426
Picked145
Done101
Total31618334
Accuracy
99.0%
Counts
334 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
51.1%
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
49.3%
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
49.7%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
48.8%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
48.5%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
3.4%
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b)))
50.9%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))
48.1%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (cosh.f64 a) (sinh.f64 a))))
51.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
50.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
47.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
49.1%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
49.8%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
51.7%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
49.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
49.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
49.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
Compiler

Compiled 569 to 448 computations (21.3% saved)

series110.0ms (1.2%)

Memory
5.9MiB live, 150.9MiB allocated; 36ms collecting garbage
Counts
28 → 78
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
(exp.f64 a)
a
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 2))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 a)))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 a)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
Calls

6 calls:

TimeVariablePointExpression
44.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) -1 (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b))
27.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) -1 (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b))
18.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) -1 (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b))
14.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) -1 (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b))
5.0ms
b
@0
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) -1 (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b))

rewrite263.0ms (2.9%)

Memory
13.7MiB live, 197.7MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03111519
03251447
118861442
084091333
Stop Event
iter-limit
node-limit
iter-limit
Counts
106 → 201
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
(exp.f64 a)
a
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 2))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 a)))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 a)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 b) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 a))))))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) b))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
#s(literal 1/2 binary64)
(+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))))
(log.f64 (+.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) (/.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(+.f64 (/.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))) (/.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))))
(+.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64))) (neg.f64 (+.f64 a #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 a a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (+.f64 a #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 a a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 a a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1 binary64))))))
(-.f64 a #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64))))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))
(*.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b)
(*.f64 b (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 b (pow.f64 b #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 b (pow.f64 b #s(literal -1 binary64))) (*.f64 b (pow.f64 b #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 b (pow.f64 b #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(fma.f64 #s(literal 1/2 binary64) b (*.f64 b (pow.f64 b #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 b #s(literal 1/2 binary64) (*.f64 b (pow.f64 b #s(literal -1 binary64))))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 b (pow.f64 b #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 b)))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (sinh.f64 b) (sinh.f64 b)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a (log1p.f64 (exp.f64 b))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a (log1p.f64 (exp.f64 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) (*.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)) a)))
#s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 b #s(literal 0 binary64)) (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (+ 1 (exp a)) #s(literal 2 binary64))
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))
#s(approx (+ 1 (exp a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (+ 1 (exp a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (- a -1) #s(literal 1 binary64))
#s(approx (- a -1) (+.f64 #s(literal 1 binary64) a))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (/ b (+ 1 (exp a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (- a -1) a)
#s(approx (- a -1) (fma.f64 #s(literal 1 binary64) a #s(literal 1 binary64)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log1p.f64 (exp.f64 a)))
#s(approx b b)
#s(approx (+ (* 1/2 b) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* 1/2 b) (log 2)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* 1/2 b) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (log (+ 1 (exp b))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 b b)))
#s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (log (+ 1 (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)))
#s(approx (+ (* 1/2 b) (log 2)) (neg.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) b) #s(literal 1/2 binary64)) b)))

eval27.0ms (0.3%)

Memory
5.8MiB live, 49.1MiB allocated; 7ms collecting garbage
Compiler

Compiled 6 097 to 973 computations (84% saved)

prune20.0ms (0.2%)

Memory
3.9MiB live, 47.5MiB allocated; 5ms collecting garbage
Pruning

22 alts after pruning (14 fresh and 8 done)

PrunedKeptTotal
New2036209
Fresh189
Picked145
Done044
Total20522227
Accuracy
99.0%
Counts
227 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
51.1%
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
49.3%
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
49.7%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
3.4%
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b)))
50.9%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))
48.1%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (cosh.f64 a) (sinh.f64 a))))
51.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
50.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
47.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
49.1%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
49.8%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
51.7%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
5.4%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))))
3.6%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
5.4%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
12.1%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
50.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
50.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
49.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
49.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
49.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
Compiler

Compiled 806 to 589 computations (26.9% saved)

series157.0ms (1.8%)

Memory
-9.6MiB live, 231.8MiB allocated; 23ms collecting garbage
Counts
44 → 116
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))
(+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))
(/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64)))
a
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
(log1p.f64 (exp.f64 b))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
(fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))
(fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b))
(-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64)))
(neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)
(fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64)))
#s(literal -1/2 binary64)
(*.f64 b #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 b #s(literal -1/48 binary64))
#s(literal -1/48 binary64)
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 a a)
#s(literal -1/192 binary64)
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (/ a (+ 1 (exp b)))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))))
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))
#s(approx (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) #s(hole binary64 (* 1/48 (* a b))))
#s(approx (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) #s(hole binary64 (* 1/48 (* a b))))
#s(approx (* (+ (* -1/2 (* b 0)) (* b -1/48)) a) #s(hole binary64 (* -1/48 (* a b))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow a 2)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (/ a (+ 1 (exp b)))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (* a (+ (/ 1 (+ 1 (exp b))) (/ (log (+ 1 (exp b))) a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/48 (* (pow a 3) b))))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3))))))))
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* 1/48 (* (pow a 2) b))))
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* 1/8 (pow a 2))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* 1/8 a)))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* a (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* -1/192 (pow a 4))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1/192 (pow a 3))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow a 2))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log (+ 1 (exp b))) a)) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2))))))))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- 1/2 (* 1/4 a)))))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- 1/8 (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a)))))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- (+ 1/8 (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a)))))) (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a)))))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (* 1/2 a)))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 a))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* -1 (* b (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a))))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* b (- (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a))))) (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a))))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))))
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* b (- (* 1/48 (pow a 2)) 1/4))))
#s(approx (+ (* -1/2 (* b 0)) (* b -1/48)) #s(hole binary64 (* -1/48 b)))
#s(approx (* b 0) #s(hole binary64 0))
#s(approx (* b -1/48) #s(hole binary64 (* -1/48 b)))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2)))))
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/48 (pow a 2)))))))
Calls

6 calls:

TimeVariablePointExpression
69.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/ a (- (exp b) -1)) a (- (exp b) -1) (exp b) b -1 (log (+ 1 (exp b))) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* (+ (* -1/2 (* b 0)) (* b -1/48)) a) (+ (* -1/2 (* b 0)) (* b -1/48)) -1/2 (* b 0) 0 (* b -1/48) -1/48 (* -1/4 b) -1/4 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192)
21.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/ a (- (exp b) -1)) a (- (exp b) -1) (exp b) b -1 (log (+ 1 (exp b))) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* (+ (* -1/2 (* b 0)) (* b -1/48)) a) (+ (* -1/2 (* b 0)) (* b -1/48)) -1/2 (* b 0) 0 (* b -1/48) -1/48 (* -1/4 b) -1/4 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192)
19.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/ a (- (exp b) -1)) a (- (exp b) -1) (exp b) b -1 (log (+ 1 (exp b))) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* (+ (* -1/2 (* b 0)) (* b -1/48)) a) (+ (* -1/2 (* b 0)) (* b -1/48)) -1/2 (* b 0) 0 (* b -1/48) -1/48 (* -1/4 b) -1/4 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192)
18.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/ a (- (exp b) -1)) a (- (exp b) -1) (exp b) b -1 (log (+ 1 (exp b))) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* (+ (* -1/2 (* b 0)) (* b -1/48)) a) (+ (* -1/2 (* b 0)) (* b -1/48)) -1/2 (* b 0) 0 (* b -1/48) -1/48 (* -1/4 b) -1/4 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192)
18.0ms
b
@0
((log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/ a (- (exp b) -1)) a (- (exp b) -1) (exp b) b -1 (log (+ 1 (exp b))) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* (+ (* -1/2 (* b 0)) (* b -1/48)) a) (+ (* -1/2 (* b 0)) (* b -1/48)) -1/2 (* b 0) 0 (* b -1/48) -1/48 (* -1/4 b) -1/4 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192)

rewrite161.0ms (1.8%)

Memory
21.2MiB live, 160.3MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04853073
05292773
128462771
081442609
Stop Event
iter-limit
node-limit
iter-limit
Counts
160 → 359
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))
(+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))
(/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64)))
a
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
(log1p.f64 (exp.f64 b))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
(fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))
(fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b))
(-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64)))
(neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)
(fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64)))
#s(literal -1/2 binary64)
(*.f64 b #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 b #s(literal -1/48 binary64))
#s(literal -1/48 binary64)
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 a a)
#s(literal -1/192 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (/ a (+ 1 (exp b)))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))))
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))
#s(approx (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) #s(hole binary64 (* 1/48 (* a b))))
#s(approx (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) #s(hole binary64 (* 1/48 (* a b))))
#s(approx (* (+ (* -1/2 (* b 0)) (* b -1/48)) a) #s(hole binary64 (* -1/48 (* a b))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow a 2)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (/ a (+ 1 (exp b)))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (* a (+ (/ 1 (+ 1 (exp b))) (/ (log (+ 1 (exp b))) a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/48 (* (pow a 3) b))))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3))))))))
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* 1/48 (* (pow a 2) b))))
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* 1/8 (pow a 2))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* 1/8 a)))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* a (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* -1/192 (pow a 4))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1/192 (pow a 3))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow a 2))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log (+ 1 (exp b))) a)) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2))))))))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- 1/2 (* 1/4 a)))))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- 1/8 (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a)))))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- (+ 1/8 (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a)))))) (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a)))))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (* 1/2 a)))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 a))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* -1 (* b (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a))))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* b (- (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a))))) (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a))))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))))
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* b (- (* 1/48 (pow a 2)) 1/4))))
#s(approx (+ (* -1/2 (* b 0)) (* b -1/48)) #s(hole binary64 (* -1/48 b)))
#s(approx (* b 0) #s(hole binary64 0))
#s(approx (* b -1/48) #s(hole binary64 (* -1/48 b)))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2)))))
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/48 (pow a 2)))))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64))) (-.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))
(/.f64 (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))))
(-.f64 (/.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (-.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))))
(+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 (neg.f64 a) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64)))
a
(/.f64 (neg.f64 (expm1.f64 (+.f64 b b))) (neg.f64 (+.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))))
(/.f64 (expm1.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
b
#s(literal -1 binary64)
(log1p.f64 (exp.f64 b))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 b)))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 b #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))
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(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
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#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 0 binary64) a)) b #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64) (*.f64 a #s(literal -1/48 binary64))) b) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 #s(literal 0 binary64) a)) b #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a)) (log.f64 #s(literal 2 binary64))))
#s(approx (/ a (- (exp b) -1)) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a)))
#s(approx (/ a (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a)))
#s(approx (/ a (- (exp b) -1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64) (*.f64 a #s(literal -1/48 binary64))) b)) (*.f64 #s(literal 0 binary64) a)) b (*.f64 #s(literal -1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a)))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (log (+ 1 (exp b))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log1p.f64 (exp.f64 a)))
#s(approx (* 1/2 b) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b))
#s(approx (+ (* -1/2 (* b 0)) (* b -1/48)) (*.f64 #s(literal -1/48 binary64) b))
#s(approx (* b 0) #s(literal 0 binary64))
#s(approx (* b -1/48) (*.f64 #s(literal -1/48 binary64) b))
#s(approx (* -1/4 b) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (log (+ 1 (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)))
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (neg.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a) #s(literal 1/2 binary64)) b)))
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (neg.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) b)))

eval72.0ms (0.8%)

Memory
2.4MiB live, 48.2MiB allocated; 2ms collecting garbage
Compiler

Compiled 17 524 to 2 279 computations (87% saved)

prune56.0ms (0.6%)

Memory
-7.6MiB live, 43.5MiB allocated; 30ms collecting garbage
Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New4006406
Fresh549
Picked235
Done358
Total41018428
Accuracy
99.0%
Counts
428 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.3%
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
51.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
50.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
47.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
49.1%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
49.8%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
51.7%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
12.1%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
49.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
2.6%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
50.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
50.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
49.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
49.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
49.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
27.7%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a)))))
2.4%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)))))
3.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
Compiler

Compiled 1 178 to 525 computations (55.4% saved)

regimes65.0ms (0.7%)

Memory
16.9MiB live, 102.2MiB allocated; 13ms collecting garbage
Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (cosh.f64 a) (sinh.f64 a))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
Calls

6 calls:

19.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
14.0ms
b
9.0ms
a
7.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
97.6%1(exp.f64 b)
97.6%1(exp.f64 a)
97.6%1(+.f64 (exp.f64 a) (exp.f64 b))
97.6%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
97.6%1a
97.6%1b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes61.0ms (0.7%)

Memory
-40.9MiB live, 107.1MiB allocated; 15ms collecting garbage
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (cosh.f64 a) (sinh.f64 a))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

6 calls:

16.0ms
b
12.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms
(exp.f64 b)
9.0ms
a
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
55.1%1(exp.f64 b)
98.8%2(exp.f64 a)
98.5%2(+.f64 (exp.f64 a) (exp.f64 b))
98.5%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%2a
67.2%2b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes20.0ms (0.2%)

Memory
-3.2MiB live, 40.7MiB allocated; 6ms collecting garbage
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (cosh.f64 a) (sinh.f64 a))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
Calls

2 calls:

8.0ms
a
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.7%2(exp.f64 a)
98.7%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes15.0ms (0.2%)

Memory
31.7MiB live, 31.7MiB allocated; 0ms collecting garbage
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
Calls

2 calls:

8.0ms
a
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.7%2(exp.f64 a)
98.7%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes30.0ms (0.3%)

Memory
-9.8MiB live, 35.9MiB allocated; 4ms collecting garbage
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b)))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
Calls

2 calls:

23.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.5%2(exp.f64 a)
98.5%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes34.0ms (0.4%)

Memory
-4.4MiB live, 47.9MiB allocated; 9ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
Calls

4 calls:

16.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
a
5.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.7%2(+.f64 (exp.f64 a) (exp.f64 b))
97.7%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.1%2a
98.1%2(exp.f64 a)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes25.0ms (0.3%)

Memory
3.8MiB live, 49.4MiB allocated; 3ms collecting garbage
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
Calls

4 calls:

8.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
a
5.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
96.8%2(+.f64 (exp.f64 a) (exp.f64 b))
96.8%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
97.6%2(exp.f64 a)
97.6%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes11.0ms (0.1%)

Memory
25.6MiB live, 25.6MiB allocated; 0ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
Calls

2 calls:

6.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.4%2(exp.f64 a)
97.4%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes12.0ms (0.1%)

Memory
-26.3MiB live, 19.9MiB allocated; 3ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
Calls

2 calls:

7.0ms
a
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.2%2(exp.f64 a)
97.2%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes34.0ms (0.4%)

Memory
0.5MiB live, 47.8MiB allocated; 1ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
Calls

5 calls:

18.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
a
4.0ms
b
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
50.2%1b
57.5%2(+.f64 (exp.f64 a) (exp.f64 b))
57.5%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
57.6%2(exp.f64 a)
57.6%2a
Compiler

Compiled 15 to 18 computations (-20% saved)

regimes13.0ms (0.1%)

Memory
25.4MiB live, 25.4MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
Calls

4 calls:

4.0ms
a
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
57.1%2(+.f64 (exp.f64 a) (exp.f64 b))
57.1%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
57.2%2(exp.f64 a)
57.2%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes14.0ms (0.2%)

Memory
-27.3MiB live, 25.9MiB allocated; 3ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
Calls

4 calls:

5.0ms
a
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
57.1%2(+.f64 (exp.f64 a) (exp.f64 b))
57.1%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
57.1%2(exp.f64 a)
57.1%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes11.0ms (0.1%)

Memory
22.4MiB live, 22.4MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
Calls

4 calls:

3.0ms
a
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
57.0%2(exp.f64 a)
57.0%2a
56.8%2(+.f64 (exp.f64 a) (exp.f64 b))
56.8%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.1%)

Memory
-35.0MiB live, 11.6MiB allocated; 2ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
Calls

2 calls:

4.0ms
a
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
56.9%2(exp.f64 a)
56.9%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes11.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
Calls

5 calls:

2.0ms
a
2.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
49.1%1(exp.f64 b)
56.4%2(+.f64 (exp.f64 a) (exp.f64 b))
56.4%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
56.5%2(exp.f64 a)
56.5%2a
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes13.0ms (0.1%)

Memory
-23.9MiB live, 22.3MiB allocated; 2ms collecting garbage
Accuracy

Total -6.4b remaining (-11.4%)

Threshold costs -6.4b (-11.4%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
Calls

6 calls:

3.0ms
(exp.f64 b)
2.0ms
a
2.0ms
b
2.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
12.1%1(exp.f64 b)
12.1%1b
12.1%1(+.f64 (exp.f64 a) (exp.f64 b))
12.1%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
12.1%1(exp.f64 a)
12.1%1a
Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch33.0ms (0.4%)

Memory
34.5MiB live, 34.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
-64859061674.658165
-0.006524528719124125
Samples
18.0ms141×1valid
6.0ms12×2valid
0.0ms0valid
Compiler

Compiled 329 to 281 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 9.0ms (45.1% of total)
ival-exp: 8.0ms (40.1% of total)
adjust: 2.0ms (10% of total)
ival-add!: 1.0ms (5% of total)

bsearch40.0ms (0.4%)

Memory
-34.4MiB live, 11.7MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-64859061674.658165
-0.006524528719124125
Samples
6.0ms128×0valid
Compiler

Compiled 439 to 351 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (53.8% of total)
ival-log: 1.0ms (26.9% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-64859061674.658165
-0.006524528719124125
Samples
9.0ms74×1valid
0.0ms0valid
Compiler

Compiled 409 to 331 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 3.0ms (44.5% of total)
ival-log: 2.0ms (29.7% of total)
adjust: 1.0ms (14.8% of total)
ival-add!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9934967098028271
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9934967098028271
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch7.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
-64859061674.658165
-0.006524528719124125
Samples
3.0ms64×0valid
Compiler

Compiled 479 to 381 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (53.3% of total)
ival-log: 1.0ms (53.3% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-64859061674.658165
-0.006524528719124125
Compiler

Compiled 449 to 361 computations (19.6% saved)

bsearch2.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-64859061674.658165
-0.006524528719124125
Compiler

Compiled 479 to 391 computations (18.4% saved)

bsearch12.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
-64859061674.658165
-0.006524528719124125
Samples
7.0ms56×1valid
0.0ms0valid
Compiler

Compiled 519 to 391 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (49% of total)
ival-log: 2.0ms (32.7% of total)
adjust: 1.0ms (16.3% of total)
ival-add!: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-64859061674.658165
-0.006524528719124125
Compiler

Compiled 519 to 391 computations (24.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.002096621136960154
0.6898902373753207
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch61.0ms (0.7%)

Memory
-75.9MiB live, 7.3MiB allocated; 89ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
60.0ms
-64859061674.658165
-0.006524528719124125
Samples
3.0ms48×0valid
Compiler

Compiled 489 to 371 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (63.3% of total)
ival-log: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-64859061674.658165
-0.006524528719124125
Compiler

Compiled 449 to 331 computations (26.3% saved)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-64859061674.658165
-0.006524528719124125
Compiler

Compiled 429 to 321 computations (25.2% saved)

derivations464.0ms (5.2%)

Memory
5.4MiB live, 432.2MiB allocated; 51ms collecting garbage
Stop Event
fuel
Compiler

Compiled 726 to 118 computations (83.7% saved)

preprocess93.0ms (1%)

Memory
4.6MiB live, 144.6MiB allocated; 18ms collecting garbage
Compiler

Compiled 2 916 to 1 118 computations (61.7% saved)

end0.0ms (0%)

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

Profiling

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