symmetry log of sum of exp

Time bar (total: 9.8s)

start0.0ms (0%)

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

analyze157.0ms (1.6%)

Memory
12.5MiB live, 257.7MiB allocated; 46ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
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)

sample6.7s (68.5%)

Memory
-8.9MiB live, 7 888.0MiB allocated; 2.4s collecting garbage
Samples
3.1s7 937×5exit
1.1s2 267×1valid
1.1s1 578×2valid
298.0ms4 411×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.7s
ival-log: 1.3s (28% of total)
adjust: 1.3s (27.7% of total)
ival-exp: 1.1s (22.7% of total)
ival-add: 1.0s (21.4% of total)
ival-assert: 8.0ms (0.2% of total)
Bogosity

explain158.0ms (1.6%)

Memory
-46.0MiB live, 247.3MiB allocated; 26ms 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)))sensitivity1170
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))uflow-rescue60
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow6
↳(exp.f64 a)underflow61
↳(exp.f64 b)underflow69
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))oflow-rescue30
↳(+.f64 (exp.f64 a) (exp.f64 b))overflow3
↳(exp.f64 a)overflow2
↳(exp.f64 b)overflow1
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
54.0ms108×2valid
31.0ms122×1valid
17.0ms282×0valid
Compiler

Compiled 44 to 22 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-log: 41.0ms (50% of total)
ival-exp: 29.0ms (35.4% of total)
adjust: 7.0ms (8.5% of total)
ival-add: 4.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess188.0ms (1.9%)

Memory
7.5MiB live, 199.1MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01842
13742
29442
335842
4177342
5696742
066
0106
1176
2406
31126
45156
551796
083046
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
Symmetry

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.8%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 6 to 6 computations (0% saved)

series84.0ms (0.9%)

Memory
38.8MiB live, 122.4MiB allocated; 13ms 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
27.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
23.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
18.0ms
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)

rewrite174.0ms (1.8%)

Memory
-11.4MiB live, 179.2MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133549
0137533
1867533
08509485
Stop Event
1×iter limit
1×node limit
1×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))

eval8.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 099 to 293 computations (73.3% saved)

prune30.0ms (0.3%)

Memory
-40.9MiB live, 17.4MiB allocated; 10ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New62971
Fresh000
Picked011
Done000
Total621072
Accuracy
99.0%
Counts
72 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(log.f64 (+.f64 (+.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b)))
✓54.8%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶53.3%
(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)))))
53.1%
(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)))))
▶52.8%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
51.5%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶50.7%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
▶97.9%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
50.7%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶51.6%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
Compiler

Compiled 212 to 182 computations (14.2% saved)

series94.0ms (1%)

Memory
40.8MiB live, 170.0MiB allocated; 16ms collecting garbage
Counts
27 → 78
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) #s(literal 1 binary64)) (exp.f64 b)))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 b)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
(-.f64 b #s(literal -1 binary64))
(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)))))
(+.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 (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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 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 (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 (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 -1) #s(hole binary64 1))
#s(approx (- b -1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 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 -1) #s(hole binary64 b))
#s(approx (- b -1) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (/ 1 (pow b 3))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))) b)) 1/6)))))
Calls

6 calls:

TimeVariablePointExpression
41.0ms
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) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6 1/2)
23.0ms
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) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6 1/2)
13.0ms
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) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6 1/2)
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) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6 1/2)
5.0ms
b
@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) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6 1/2)

rewrite218.0ms (2.2%)

Memory
-5.3MiB live, 283.2MiB allocated; 64ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03171563
03451473
119541471
089131409
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
105 → 212
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) #s(literal 1 binary64)) (exp.f64 b)))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 b)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
(-.f64 b #s(literal -1 binary64))
(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)))))
(+.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 (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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 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 (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 (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 -1) #s(hole binary64 1))
#s(approx (- b -1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 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 -1) #s(hole binary64 b))
#s(approx (- b -1) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (/ 1 (pow b 3))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))) b)) 1/6)))))
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) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))))
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (log.f64 (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))))))
(log.f64 (+.f64 #s(approx (exp 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) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp 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) #s(literal 1 binary64)) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))))
(+.f64 (/.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))))))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
(+.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.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))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))))))
(log.f64 (+.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) (exp.f64 a)))
(/.f64 (+.f64 (pow.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))))
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(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) b))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))
#s(literal 1/6 binary64)
#s(literal 1/2 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 (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 (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 -1) #s(literal 1 binary64))
#s(approx (- b -1) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) 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 1 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 b) 1/2) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 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 (exp b) (exp.f64 b))
#s(approx (- b -1) b)
#s(approx (- b -1) (fma.f64 #s(literal 1 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (+.f64 (pow.f64 b #s(literal -3 binary64)) (pow.f64 b #s(literal -2 binary64)))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (*.f64 b b)))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 b #s(literal -2 binary64))) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))

eval31.0ms (0.3%)

Memory
-4.6MiB live, 41.8MiB allocated; 2ms collecting garbage
Compiler

Compiled 6 986 to 1 175 computations (83.2% saved)

prune18.0ms (0.2%)

Memory
7.6MiB live, 53.3MiB allocated; 3ms collecting garbage
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New25413267
Fresh314
Picked325
Done101
Total26116277
Accuracy
99.0%
Counts
277 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.2%
(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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)))))
50.7%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 (cosh.f64 b) (sinh.f64 b))))
✓50.7%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
▶49.6%
(log.f64 (+.f64 #s(approx (exp 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)))))
51.6%
#s(approx (log (+ (exp a) (exp b))) (-.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))))))
50.7%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓51.6%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
48.1%
#s(approx (log (+ (exp a) (exp b))) (log1p.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)))))
47.7%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶50.0%
#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)))))
51.2%
#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)))))
▶97.9%
#s(approx (log (+ (exp a) (exp b))) #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)))
49.3%
#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)))))
49.2%
#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)))))
▶49.1%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
Compiler

Compiled 580 to 451 computations (22.2% saved)

series105.0ms (1.1%)

Memory
7.3MiB live, 149.9MiB allocated; 21ms collecting garbage
Counts
36 → 115
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #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)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b))
(*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)
(+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(/.f64 (log1p.f64 (exp.f64 a)) b)
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
b
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#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 (+ (/ 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 (+.f64 #s(approx (exp 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) #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) #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))
(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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)))))
(+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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 (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) 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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (* b (- (* 1/2 (/ 1 b)) 1/4))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (+ (* 1/8 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (+ (* a (+ 1/8 (* 1/48 (* a b)))) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (/ (log 2) b))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (* 1/2 (/ 1 b)) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/2 (/ 1 b)) (* a (+ (* 1/48 a) (* 1/8 (/ 1 b))))) 1/4)) (/ (log 2) b)))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log 2) b)))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* 1/2 (/ a b)) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ (log 2) 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 (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 (pow (+ 1 (exp a)) -1) #s(hole binary64 1/2))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* -1/4 a))))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))))
#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) (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 (+ 1 a) #s(hole binary64 1))
#s(approx (+ 1 a) #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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ 1 a) #s(hole binary64 a))
#s(approx (+ 1 a) #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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)))
#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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (/ 1 (pow b 3))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #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)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))) b)) 1/6)))))
Calls

6 calls:

TimeVariablePointExpression
27.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (+ 1 (exp a)) -1) (+ 1 (exp a)) 1 -1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (log 2) 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ 1 a) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)
24.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (+ 1 (exp a)) -1) (+ 1 (exp a)) 1 -1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (log 2) 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ 1 a) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)
18.0ms
b
@0
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (+ 1 (exp a)) -1) (+ 1 (exp a)) 1 -1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (log 2) 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ 1 a) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)
17.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (+ 1 (exp a)) -1) (+ 1 (exp a)) 1 -1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (log 2) 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ 1 a) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)
15.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (+ 1 (exp a)) -1) (+ 1 (exp a)) 1 -1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (log 2) 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ 1 a) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)

rewrite211.0ms (2.2%)

Memory
-3.3MiB live, 220.6MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04262425
04552310
125202297
0111982227
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
151 → 345
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #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)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b))
(*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)
(+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(/.f64 (log1p.f64 (exp.f64 a)) b)
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
b
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#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 (+ (/ 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 (+.f64 #s(approx (exp 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) #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) #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))
(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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)))))
(+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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 (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) 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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (* b (- (* 1/2 (/ 1 b)) 1/4))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (+ (* 1/8 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (+ (* a (+ 1/8 (* 1/48 (* a b)))) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (/ (log 2) b))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (* 1/2 (/ 1 b)) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/2 (/ 1 b)) (* a (+ (* 1/48 a) (* 1/8 (/ 1 b))))) 1/4)) (/ (log 2) b)))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log 2) b)))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* 1/2 (/ a b)) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ (log 2) 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 (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 (pow (+ 1 (exp a)) -1) #s(hole binary64 1/2))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* -1/4 a))))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))))
#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) (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 (+ 1 a) #s(hole binary64 1))
#s(approx (+ 1 a) #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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ 1 a) #s(hole binary64 a))
#s(approx (+ 1 a) #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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)))
#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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (/ 1 (pow b 3))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #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)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))) b)) 1/6)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b)
(*.f64 b (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (-.f64 (*.f64 (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b)) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)) #s(literal 3 binary64))) (fma.f64 (*.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (*.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)) (*.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b))) (*.f64 (*.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (*.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b))))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b))
(fma.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (*.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)))
(+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b))
(+.f64 (*.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (*.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)))) (neg.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) b (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (neg.f64 (log1p.f64 (exp.f64 a))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 (log1p.f64 (exp.f64 a))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) b (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) b))
(/.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 (neg.f64 b) #s(literal 1 binary64))) (*.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (neg.f64 b) #s(literal -1 binary64))) (*.f64 (neg.f64 b) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b #s(literal 1 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b #s(literal -1 binary64))) (*.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 #s(literal 1 binary64) b (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(fma.f64 (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))
(+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))))))
(+.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))
(+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 b))
(/.f64 (log1p.f64 (exp.f64 a)) b)
(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)))
(/.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
b
(*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 a))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal -1 binary64))))
(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)
#s(literal -1 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(log.f64 #s(literal 2 binary64))
#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 (+ (/ 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 (*.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 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 (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)))))))
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #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 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) b))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))
#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 #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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b) a (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/8 binary64) a)) a (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b a) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) a (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b)) a (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) a (/.f64 (log.f64 #s(literal 2 binary64)) b)) #s(literal 1/2 binary64)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) a (/.f64 (log.f64 #s(literal 2 binary64)) b)) #s(literal 1/2 binary64)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) a (/.f64 #s(literal 1/8 binary64) b)) a (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/4 binary64)) a (/.f64 (log.f64 #s(literal 2 binary64)) b)) #s(literal 1/2 binary64)))
#s(approx (/ (log (+ 1 (exp a))) b) (/.f64 (log.f64 #s(literal 2 binary64)) b))
#s(approx (/ (log (+ 1 (exp a))) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) b))
#s(approx (/ (log (+ 1 (exp a))) b) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b) a (/.f64 (log.f64 #s(literal 2 binary64)) b)))
#s(approx (/ (log (+ 1 (exp a))) b) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b) a (/.f64 #s(literal 1/2 binary64) b)) a (/.f64 (log.f64 #s(literal 2 binary64)) b)))
#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) #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 (pow (+ 1 (exp a)) -1) #s(literal 1/2 binary64))
#s(approx (pow (+ 1 (exp a)) -1) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (pow (+ 1 (exp a)) -1) (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (pow (+ 1 (exp a)) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 a a) #s(literal 1/48 binary64)) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#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) (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 (+ 1 a) #s(literal 1 binary64))
#s(approx (+ 1 a) (+.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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
#s(approx (/ (log (+ 1 (exp a))) b) (/.f64 (log1p.f64 (exp.f64 a)) b))
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (pow (+ 1 (exp a)) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ 1 a) a)
#s(approx (+ 1 a) (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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (log1p.f64 (exp.f64 a)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/.f64 (log1p.f64 (exp.f64 a)) b))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/.f64 (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) b))
#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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) 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 1 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 b) 1/2) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 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 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
#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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (+.f64 (pow.f64 b #s(literal -3 binary64)) (pow.f64 b #s(literal -2 binary64)))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (*.f64 b b)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (*.f64 b b)))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (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)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 b #s(literal -2 binary64))) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))

eval70.0ms (0.7%)

Memory
-27.0MiB live, 79.6MiB allocated; 10ms collecting garbage
Compiler

Compiled 13 443 to 1 952 computations (85.5% saved)

prune16.0ms (0.2%)

Memory
25.7MiB live, 25.7MiB allocated; 0ms collecting garbage
Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New3675372
Fresh099
Picked235
Done022
Total36919388
Accuracy
99.0%
Counts
388 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 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)))))
50.7%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 (cosh.f64 b) (sinh.f64 b))))
✓50.7%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
✓49.6%
(log.f64 (+.f64 #s(approx (exp 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)))))
51.6%
#s(approx (log (+ (exp a) (exp b))) (-.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))))))
▶50.7%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓51.6%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
48.1%
#s(approx (log (+ (exp a) (exp b))) (log1p.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)))))
47.7%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓50.0%
#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)))))
51.2%
#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)))))
65.6%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))) b)))
▶97.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b)))
▶49.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)))
▶11.8%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
49.3%
#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)))))
▶49.2%
#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)))))
✓49.1%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
Compiler

Compiled 806 to 583 computations (27.7% saved)

series276.0ms (2.8%)

Memory
-38.9MiB live, 217.1MiB allocated; 98ms collecting garbage
Counts
35 → 116
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b))
(*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b)
(+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (log1p.f64 (exp.f64 a)) b)
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
b
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (+ (* 1/2 b) (log 2)) (*.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 (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(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b))
(*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) b)
#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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (* b (- (* 1/2 (/ 1 b)) 1/4))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (+ (* 1/8 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (+ (* a (+ 1/8 (* 1/48 (* a b)))) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (/ (log 2) b))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (* 1/2 (/ 1 b)) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/2 (/ 1 b)) (* a (+ (* 1/48 a) (* 1/8 (/ 1 b))))) 1/4)) (/ (log 2) b)))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log 2) b)))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* 1/2 (/ a b)) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ (log 2) 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 (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 (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 1/2))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* -1/4 a))))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ a (sqrt 1/2))))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* a (- (* -1/128 (/ a (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* a (- (* a (- (* 1/2 (/ (* a (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#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 (+ (* (+ (* 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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (* b (- (* 1/2 (/ 1 b)) 1/4))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (+ (* 1/8 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (+ (* a (+ 1/8 (* 1/48 (* a b)))) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (/ (log 2) b))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (* 1/2 (/ 1 b)) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/2 (/ 1 b)) (* a (+ (* 1/48 a) (* 1/8 (/ 1 b))))) 1/4)) (/ (log 2) b)))))
#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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp a))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))
#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 (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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)))
#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 (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)))
#s(approx (+ (/ (log 2) b) 1/2) #s(hole binary64 (/ (log 2) b)))
#s(approx (+ (/ (log 2) b) 1/2) #s(hole binary64 (/ (+ (log 2) (* 1/2 b)) b)))
#s(approx (/ (log 2) b) #s(hole binary64 (/ (log 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 (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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (+ (/ (log 2) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ (log 2) b) 1/2) #s(hole binary64 (+ 1/2 (/ (log 2) b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp 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))))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #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)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
Calls

6 calls:

TimeVariablePointExpression
115.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (pow (+ 1 (exp a)) -1/2) 2) (pow (+ 1 (exp a)) -1/2) (+ 1 (exp a)) 1 -1/2 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (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) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+ (/ (log 2) b) 1/2) (/ (log 2) b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b))
58.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (pow (+ 1 (exp a)) -1/2) 2) (pow (+ 1 (exp a)) -1/2) (+ 1 (exp a)) 1 -1/2 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (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) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+ (/ (log 2) b) 1/2) (/ (log 2) b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b))
55.0ms
b
@0
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (pow (+ 1 (exp a)) -1/2) 2) (pow (+ 1 (exp a)) -1/2) (+ 1 (exp a)) 1 -1/2 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (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) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+ (/ (log 2) b) 1/2) (/ (log 2) b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b))
27.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (pow (+ 1 (exp a)) -1/2) 2) (pow (+ 1 (exp a)) -1/2) (+ 1 (exp a)) 1 -1/2 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (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) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+ (/ (log 2) b) 1/2) (/ (log 2) b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b))
15.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (pow (+ 1 (exp a)) -1/2) 2) (pow (+ 1 (exp a)) -1/2) (+ 1 (exp a)) 1 -1/2 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (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) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+ (/ (log 2) b) 1/2) (/ (log 2) b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b))

rewrite207.0ms (2.1%)

Memory
40.3MiB live, 220.5MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04362748
04612589
124602569
0104712480
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
151 → 299
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b))
(*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b)
(+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (log1p.f64 (exp.f64 a)) b)
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
b
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (+ (* 1/2 b) (log 2)) (*.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 (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(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b))
(*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) b)
#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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (* b (- (* 1/2 (/ 1 b)) 1/4))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (+ (* 1/8 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (+ (* a (+ 1/8 (* 1/48 (* a b)))) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (/ (log 2) b))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (* 1/2 (/ 1 b)) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/2 (/ 1 b)) (* a (+ (* 1/48 a) (* 1/8 (/ 1 b))))) 1/4)) (/ (log 2) b)))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log 2) b)))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* 1/2 (/ a b)) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ (log 2) 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 (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 (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 1/2))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* -1/4 a))))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ a (sqrt 1/2))))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* a (- (* -1/128 (/ a (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* a (- (* a (- (* 1/2 (/ (* a (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#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 (+ (* (+ (* 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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (* b (- (* 1/2 (/ 1 b)) 1/4))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (+ (* 1/8 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (+ (* a (+ 1/8 (* 1/48 (* a b)))) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (/ (log 2) b))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (* 1/2 (/ 1 b)) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/2 (/ 1 b)) (* a (+ (* 1/48 a) (* 1/8 (/ 1 b))))) 1/4)) (/ (log 2) b)))))
#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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp a))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))
#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 (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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)))
#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 (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)))
#s(approx (+ (/ (log 2) b) 1/2) #s(hole binary64 (/ (log 2) b)))
#s(approx (+ (/ (log 2) b) 1/2) #s(hole binary64 (/ (+ (log 2) (* 1/2 b)) b)))
#s(approx (/ (log 2) b) #s(hole binary64 (/ (log 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 (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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (+ (/ (log 2) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ (log 2) b) 1/2) #s(hole binary64 (+ 1/2 (/ (log 2) b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp 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))))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #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)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b)
(*.f64 b (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (-.f64 (*.f64 (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b)) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)) #s(literal 3 binary64))) (fma.f64 (*.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (*.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)) (*.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b))) (*.f64 (*.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (*.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b))))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b))
(fma.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (*.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)))
(+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b))
(+.f64 (*.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (*.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)))) (neg.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) b (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (neg.f64 (log1p.f64 (exp.f64 a))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 (log1p.f64 (exp.f64 a))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) b (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) b))
(/.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 (neg.f64 b) #s(literal 1 binary64))) (*.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (neg.f64 b) #s(literal -1 binary64))) (*.f64 (neg.f64 b) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b #s(literal 1 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b #s(literal -1 binary64))) (*.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))))
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#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 a a) #s(literal 1/48 binary64)) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (pow (+ 1 (exp a)) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (pow (+ 1 (exp a)) -1/2) (fma.f64 (/.f64 a (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (+ 1 (exp a)) -1/2) (fma.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 a (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) a (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (+ 1 (exp a)) -1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 #s(literal 5/384 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -3/2 binary64)))) a (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) a (sqrt.f64 #s(literal 1/2 binary64))))
#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 (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* 1/8 a) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/8 a) 1/2) (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b) a (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/8 binary64) a)) a (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b a) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) a (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b)) a (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) a (/.f64 (log.f64 #s(literal 2 binary64)) b)) #s(literal 1/2 binary64)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (+.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) a (/.f64 (log.f64 #s(literal 2 binary64)) b)) #s(literal 1/2 binary64)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) a (/.f64 #s(literal 1/8 binary64) b)) a (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/4 binary64)) a (/.f64 (log.f64 #s(literal 2 binary64)) b)) #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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
#s(approx (/ (log (+ 1 (exp a))) b) (/.f64 (log1p.f64 (exp.f64 a)) b))
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (pow (+ 1 (exp a)) -1/2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)))
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))
#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 (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a a)))
#s(approx (+ (* 1/8 a) 1/2) (*.f64 #s(literal 1/8 binary64) a))
#s(approx (+ (* 1/8 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
#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))) (+.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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (log1p.f64 (exp.f64 a)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/.f64 (log1p.f64 (exp.f64 a)) b))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/.f64 (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) b))
#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 (* 1/2 b) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (log1p.f64 (exp.f64 a)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/.f64 (log1p.f64 (exp.f64 a)) b))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/.f64 (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) b))
#s(approx (+ (/ (log 2) b) 1/2) (/.f64 (log.f64 #s(literal 2 binary64)) b))
#s(approx (+ (/ (log 2) b) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) b))
#s(approx (/ (log 2) b) (/.f64 (log.f64 #s(literal 2 binary64)) 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 (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 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
#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 (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (+ (/ (log 2) b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (/ (log 2) b) 1/2) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)))
#s(approx (log (+ 1 (exp b))) (log1p.f64 (exp.f64 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)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (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)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (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)))

eval68.0ms (0.7%)

Memory
-31.5MiB live, 71.3MiB allocated; 10ms collecting garbage
Compiler

Compiled 12 271 to 1 672 computations (86.4% saved)

prune23.0ms (0.2%)

Memory
30.8MiB live, 30.8MiB allocated; 0ms collecting garbage
Pruning

23 alts after pruning (15 fresh and 8 done)

PrunedKeptTotal
New2999308
Fresh369
Picked145
Done145
Total30423327
Accuracy
99.0%
Counts
327 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.7%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 (cosh.f64 b) (sinh.f64 b))))
✓50.7%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
51.6%
#s(approx (log (+ (exp a) (exp b))) (-.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))))))
✓50.7%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓51.6%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
49.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
48.1%
#s(approx (log (+ (exp a) (exp b))) (log1p.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)))))
47.7%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓50.0%
#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)))))
51.2%
#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)))))
97.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (*.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) b)))
58.5%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 #s(approx (pow (+ 1 (exp a)) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) b)))
17.6%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)))))) b)))
✓49.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)))
✓11.8%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
49.8%
#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)))))
49.7%
#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)))))
49.3%
#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)))))
✓49.2%
#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(approx (+ (* 1/8 a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
✓49.1%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
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 1 443 to 642 computations (55.5% saved)

regimes74.0ms (0.8%)

Memory
-11.7MiB live, 80.4MiB allocated; 3ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (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 (log (+ 1 (exp a))) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) #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 (+ (/ 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) #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))) (log1p.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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 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))) (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 #s(literal 1 binary64) 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 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(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 (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)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 (cosh.f64 b) (sinh.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))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 #s(approx (pow (+ 1 (exp a)) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) b)))
(log.f64 (+.f64 (+.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b)))
#s(approx (log (+ (exp a) (exp b))) #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 (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)))))) b)))
#s(approx (log (+ (exp a) (exp b))) (-.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))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (*.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) b)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))) b)))
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:

34.0ms
b
9.0ms
a
8.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
7.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
97.9%1(exp.f64 b)
97.9%1(exp.f64 a)
97.9%1(+.f64 (exp.f64 a) (exp.f64 b))
97.9%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
97.9%1a
97.9%1b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes43.0ms (0.4%)

Memory
2.5MiB live, 49.1MiB allocated; 1ms collecting garbage
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (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 (log (+ 1 (exp a))) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) #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 (+ (/ 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) #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))) (log1p.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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 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))) (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 #s(literal 1 binary64) 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 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(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 (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)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 (cosh.f64 b) (sinh.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:

11.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
7.0ms
a
7.0ms
b
5.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.7%2(exp.f64 a)
57.6%2(exp.f64 b)
98.7%2(+.f64 (exp.f64 a) (exp.f64 b))
98.7%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.7%2a
66.2%2b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes36.0ms (0.4%)

Memory
-11.9MiB live, 39.1MiB allocated; 4ms collecting garbage
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (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 (log (+ 1 (exp a))) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) #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 (+ (/ 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) #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))) (log1p.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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 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))) (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 #s(literal 1 binary64) 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 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(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 (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)))))
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) #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:

18.0ms
(exp.f64 a)
7.0ms
a
5.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
97.3%2(+.f64 (exp.f64 a) (exp.f64 b))
97.3%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
97.9%2(exp.f64 a)
97.9%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes13.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (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 (log (+ 1 (exp a))) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) #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 (+ (/ 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) #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))) (log1p.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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 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))) (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 #s(literal 1 binary64) 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 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(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 (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)))))
Calls

2 calls:

7.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.8%2(exp.f64 a)
97.8%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes12.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated; 0ms 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 (+ (* 1/2 b) (log 2)) (*.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 (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 (log (+ 1 (exp a))) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) #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 (+ (/ 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) #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))) (log1p.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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 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))) (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 #s(literal 1 binary64) 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 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 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 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
Calls

2 calls:

6.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.7%2(exp.f64 a)
97.7%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes13.0ms (0.1%)

Memory
-28.9MiB live, 18.0MiB allocated; 1ms 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 (+ (* 1/2 b) (log 2)) (*.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 (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 (log (+ 1 (exp a))) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) #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 (+ (/ 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) #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))) (log1p.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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 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))) (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 #s(literal 1 binary64) 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 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #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))) (log1p.f64 (exp.f64 a)))
Calls

2 calls:

6.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.5%2(exp.f64 a)
97.5%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes38.0ms (0.4%)

Memory
-3.3MiB live, 40.0MiB allocated; 4ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (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 (log (+ 1 (exp a))) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) #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 (+ (/ 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) #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))) (log1p.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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 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))) (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 #s(literal 1 binary64) 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)))))
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 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)))))
Calls

4 calls:

23.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
a
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
96.3%2(+.f64 (exp.f64 a) (exp.f64 b))
96.3%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
96.8%2(exp.f64 a)
96.8%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (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 (log (+ 1 (exp a))) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) #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 (+ (/ 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) #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))) (log1p.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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 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)))))
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 a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
Calls

2 calls:

5.0ms
a
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
96.7%2(exp.f64 a)
96.7%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes18.0ms (0.2%)

Memory
19.1MiB live, 19.1MiB allocated; 0ms 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 (+ (* 1/2 b) (log 2)) (*.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 (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 (log (+ 1 (exp a))) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) #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)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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

6 calls:

3.0ms
a
3.0ms
b
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
50.0%1(exp.f64 b)
50.0%1b
57.2%2(+.f64 (exp.f64 a) (exp.f64 b))
57.2%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
57.3%2(exp.f64 a)
57.3%2a
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes11.0ms (0.1%)

Memory
-32.6MiB live, 14.2MiB allocated; 2ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (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 (log (+ 1 (exp a))) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) #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 (+ (* 1/2 b) (log 2)) (*.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:

3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
a
2.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
56.9%2(+.f64 (exp.f64 a) (exp.f64 b))
56.9%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
56.9%2(exp.f64 a)
56.9%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms 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 (+ (* 1/2 b) (log 2)) (*.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 (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 (log (+ 1 (exp a))) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) #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 (+ (* 1/2 b) (log 2)) (*.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
2.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
56.8%2(+.f64 (exp.f64 a) (exp.f64 b))
56.8%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
56.8%2(exp.f64 a)
56.8%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes4.0ms (0%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (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 (log (+ 1 (exp a))) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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:

2.0ms
a
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
56.8%2(exp.f64 a)
56.8%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes25.0ms (0.3%)

Memory
-32.3MiB live, 20.2MiB allocated; 18ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (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 (log (+ 1 (exp 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 (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
Calls

4 calls:

2.0ms
a
1.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
56.5%2(+.f64 (exp.f64 a) (exp.f64 b))
56.5%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
56.5%2(exp.f64 a)
56.5%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes8.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated; 0ms collecting garbage
Accuracy

Total -6.1b remaining (-10.8%)

Threshold costs -6.1b (-10.8%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (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)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
Calls

6 calls:

2.0ms
a
1.0ms
b
1.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 a)
1.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
11.8%1(exp.f64 b)
11.8%1b
11.8%1(+.f64 (exp.f64 a) (exp.f64 b))
11.8%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.8%1(exp.f64 a)
11.8%1a
Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch36.0ms (0.4%)

Memory
22.6MiB live, 22.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
-86865609480.46762
-10.75669784479739
Samples
20.0ms136×1valid
7.0ms14×2valid
1.0ms10×0valid
Compiler

Compiled 329 to 281 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-log: 9.0ms (40.7% of total)
ival-exp: 8.0ms (36.2% of total)
adjust: 4.0ms (18.1% of total)
ival-add: 2.0ms (9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-86865609480.46762
-10.75669784479739
Compiler

Compiled 439 to 351 computations (20% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-86865609480.46762
-10.75669784479739
Compiler

Compiled 409 to 331 computations (19.1% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-86865609480.46762
-10.75669784479739
Compiler

Compiled 369 to 311 computations (15.7% saved)

bsearch43.0ms (0.4%)

Memory
-4.9MiB live, 41.4MiB allocated; 2ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
42.0ms
-86865609480.46762
-10.75669784479739
Samples
33.0ms99×1valid
3.0ms7×2valid
0.0ms6×0valid
Compiler

Compiled 369 to 311 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-exp: 23.0ms (69.3% of total)
ival-log: 7.0ms (21.1% of total)
adjust: 3.0ms (9% of total)
ival-add: 1.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
-10.75669784479739
-1.7114455638621153
Samples
5.0ms96×0valid
Compiler

Compiled 321 to 257 computations (19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (63.8% of total)
ival-log: 1.0ms (31.9% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory
-38.9MiB live, 6.5MiB allocated; 2ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
-86865609480.46762
-10.75669784479739
Samples
20.0ms44×1valid
0.0ms4×0valid
Compiler

Compiled 479 to 391 computations (18.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-add: 15.0ms (79% of total)
ival-exp: 2.0ms (10.5% of total)
adjust: 1.0ms (5.3% of total)
ival-log: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
-86865609480.46762
-10.75669784479739
Samples
15.0ms91×1valid
0.0ms5×0valid
Compiler

Compiled 519 to 431 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 5.0ms (40.1% of total)
ival-log: 4.0ms (32.1% of total)
adjust: 2.0ms (16% of total)
ival-add: 1.0ms (8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-86865609480.46762
-10.75669784479739
Compiler

Compiled 559 to 451 computations (19.3% saved)

bsearch12.0ms (0.1%)

Memory
23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-1.7114455638621153
-0.010107810521691487
Samples
6.0ms112×0valid
Compiler

Compiled 345 to 291 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (54.4% of total)
ival-add: 1.0ms (27.2% of total)
ival-log: 1.0ms (27.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
-25.5MiB live, 17.7MiB allocated; 5ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
-1.7114455638621153
-0.010107810521691487
Samples
7.0ms48×0valid
Compiler

Compiled 317 to 263 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (62% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-86865609480.46762
-10.75669784479739
Compiler

Compiled 459 to 391 computations (14.8% saved)

simplify57.0ms (0.6%)

Memory
-13.1MiB live, 41.7MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104624
1121624
2161624
3282624
4971624
56857624
Stop Event
1×node limit
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))))
(if (<=.f64 a #s(literal -37 binary64)) #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))))
(if (<=.f64 a #s(literal -37 binary64)) #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) #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))))))
(if (<=.f64 a #s(literal -37 binary64)) #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) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -37 binary64)) #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) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -360 binary64)) #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 a))))
(if (<=.f64 a #s(literal -5854679515581645/2251799813685248 binary64)) #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 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))))))
(if (<=.f64 a #s(literal -35 binary64)) #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 a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -130 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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))))))
(if (<=.f64 a #s(literal -135 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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))))))
(if (<=.f64 a #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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))))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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)))))
(if (<=.f64 a #s(literal -130 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -37 binary64)) #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))))
(if (<=.f64 a #s(literal -37 binary64)) #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) #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))))))
(if (<=.f64 a #s(literal -37 binary64)) #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) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -37 binary64)) #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) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -360 binary64)) #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 a))))
(if (<=.f64 a #s(literal -5854679515581645/2251799813685248 binary64)) #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 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))))))
(if (<=.f64 a #s(literal -35 binary64)) #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 a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -130 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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))))))
(if (<=.f64 a #s(literal -135 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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))))))
(if (<=.f64 a #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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))))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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)))))
(if (<=.f64 a #s(literal -130 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))

derivations325.0ms (3.3%)

Memory
3.9MiB live, 237.5MiB allocated; 18ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 624 to 108 computations (82.7% saved)

preprocess89.0ms (0.9%)

Memory
25.9MiB live, 115.1MiB allocated; 10ms collecting garbage
Compiler

Compiled 1 332 to 278 computations (79.1% saved)

end0.0ms (0%)

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

Profiling

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