symmetry log of sum of exp

Time bar (total: 9.3s)

start0.0ms (0%)

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

analyze239.0ms (2.6%)

Memory
36.2MiB live, 222.0MiB allocated; 36ms 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)

sample6.0s (64.4%)

Memory
48.6MiB live, 6 811.1MiB allocated; 2.1s collecting garbage
Samples
3.0s7 661×5exit
1.1s1 604×2valid
510.0ms2 289×1valid
291.0ms4 363×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.0s
ival-log: 1.6s (39.5% of total)
ival-exp: 1.1s (27.3% of total)
adjust: 991.0ms (24.7% of total)
ival-add: 334.0ms (8.3% of total)
ival-assert: 6.0ms (0.1% of total)
Bogosity

explain181.0ms (1.9%)

Memory
17.2MiB live, 167.8MiB allocated; 17ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1370-0-(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)))sensitivity1310
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))oflow-rescue40
↳(+.f64 (exp.f64 a) (exp.f64 b))overflow4
↳(exp.f64 a)overflow2
↳(exp.f64 b)overflow2
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))uflow-rescue20
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow2
↳(exp.f64 a)underflow76
↳(exp.f64 b)underflow62
Confusion
Predicted +Predicted -
+1370
-0119
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13700
-00119
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0119
1137
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
79.0ms116×2valid
29.0ms140×1valid
16.0ms256×0valid
Compiler

Compiled 44 to 22 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-log: 43.0ms (41.5% of total)
ival-exp: 28.0ms (27% of total)
ival-add: 24.0ms (23.2% of total)
adjust: 8.0ms (7.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess181.0ms (1.9%)

Memory
3.0MiB live, 231.8MiB allocated; 36ms 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
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 6 to 6 computations (0% saved)

series128.0ms (1.4%)

Memory
-18.9MiB live, 128.9MiB allocated; 17ms 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
61.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
30.0ms
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)
15.0ms
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)

rewrite273.0ms (2.9%)

Memory
-29.4MiB live, 228.9MiB allocated; 54ms 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)))
(+.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))
(exp.f64 (+.f64 #s(literal 0 binary64) a))
(exp.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)))
(+.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))
(exp.f64 (+.f64 #s(literal 0 binary64) b))
(exp.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
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 099 to 293 computations (73.3% saved)

prune7.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New63871
Fresh000
Picked011
Done000
Total63972
Accuracy
98.7%
Counts
72 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶49.9%
(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)))))
▶49.4%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
47.5%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶47.2%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
49.9%
(log.f64 #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)))))
▶98.1%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
47.2%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶47.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
Compiler

Compiled 200 to 172 computations (14% saved)

series129.0ms (1.4%)

Memory
-2.4MiB live, 145.0MiB allocated; 14ms 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
64.0ms
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
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)
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)
10.0ms
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)

rewrite196.0ms (2.1%)

Memory
-19.1MiB live, 252.3MiB allocated; 36ms 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)))))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.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)))))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(exp.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)))))

eval35.0ms (0.4%)

Memory
1.1MiB live, 64.3MiB allocated; 7ms collecting garbage
Compiler

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

prune25.0ms (0.3%)

Memory
-16.7MiB live, 30.3MiB allocated; 2ms collecting garbage
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New25215267
Fresh123
Picked415
Done101
Total25818276
Accuracy
98.7%
Counts
276 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.5%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(approx (- b -1) #s(literal 1 binary64)))))
▶44.4%
(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)))))
46.1%
(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)))))
49.9%
(log.f64 #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)))))
▶73.1%
#s(approx (log (+ (exp a) (exp b))) (/.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)))))
65.5%
#s(approx (log (+ (exp a) (exp b))) (/.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)))))))
73.1%
#s(approx (log (+ (exp a) (exp b))) (-.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))))))
65.5%
#s(approx (log (+ (exp a) (exp b))) (+.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))))))))
47.2%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓47.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
44.1%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
46.4%
#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)))))
55.6%
#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)))))
▶98.0%
#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)))
45.3%
#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)))))
▶45.2%
#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)))))
45.5%
#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)))))
▶45.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
Compiler

Compiled 910 to 575 computations (36.8% saved)

series140.0ms (1.5%)

Memory
43.7MiB live, 187.9MiB allocated; 34ms collecting garbage
Counts
40 → 158
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 (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)
#s(literal 1/2 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)))))
(+.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))) (/.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 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 (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)))
(pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.f64 (exp.f64 a) #s(literal -1 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)))
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 (+ (* (+ (* 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 (+ (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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (- (* 1/4 (pow b 2)) (pow (log 2) 2)) (- (* 1/2 b) (log 2)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))))))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ 1/8 (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2))))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))))))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* 1/4 (pow b 2)) (pow (log 2) 2))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (+ (* -1 (* a (+ (log 2) (* 1/4 (pow b 2))))) (* 1/4 (pow b 2))) (pow (log 2) 2))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (+ (* 1/4 (pow b 2)) (* a (- (* -1 (* a (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))))) (+ (log 2) (* 1/4 (pow b 2)))))) (pow (log 2) 2))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (+ (* 1/4 (pow b 2)) (* a (- (* a (- (* -1 (* a (+ 1/8 (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2))))))) (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))))) (+ (log 2) (* 1/4 (pow b 2)))))) (pow (log 2) 2))))
#s(approx (pow (/ b (- (exp a) -1)) 2) #s(hole binary64 (* 1/4 (pow b 2))))
#s(approx (pow (/ b (- (exp a) -1)) 2) #s(hole binary64 (+ (* -1/4 (* a (pow b 2))) (* 1/4 (pow b 2)))))
#s(approx (pow (/ b (- (exp a) -1)) 2) #s(hole binary64 (+ (* 1/4 (pow b 2)) (* a (- (* -1 (* a (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* 1/4 (pow b 2)))))))
#s(approx (pow (/ b (- (exp a) -1)) 2) #s(hole binary64 (+ (* 1/4 (pow b 2)) (* a (- (* a (- (* -1 (* a (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* 1/4 (pow b 2)))))))
#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 (pow (log (+ 1 (exp a))) 2) #s(hole binary64 (pow (log 2) 2)))
#s(approx (pow (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* a (log 2)) (pow (log 2) 2))))
#s(approx (pow (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* a (+ (log 2) (* a (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))))
#s(approx (pow (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* a (+ (log 2) (* a (+ 1/4 (+ (* 1/8 a) (* 1/4 (log 2))))))) (pow (log 2) 2))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (- (* 1/2 b) (log 2))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (- (+ (* -1 (* a (+ 1/2 (* 1/4 b)))) (* 1/2 b)) (log 2))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (- (+ (* 1/2 b) (* a (- (* -1 (* a (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (+ 1/2 (* 1/4 b))))) (log 2))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (- (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (+ 1/2 (* 1/4 b))))) (log 2))))
#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 (+ (* (+ (* 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 (+ (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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2))))
#s(approx (pow (/ b (- (exp a) -1)) 2) #s(hole binary64 (/ (pow b 2) (pow (+ 1 (exp a)) 2))))
#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 (pow (log (+ 1 (exp a))) 2) #s(hole binary64 (pow (log (+ 1 (exp a))) 2)))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))
#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 (+ 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 (+ (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 (+ (* (+ (* (+ (* 1/6 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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -1 (pow (log (+ 1 (exp a))) 2))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (log (+ 1 (exp a))))))
#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 (exp b) #s(hole binary64 (exp 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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) #s(hole binary64 (/ (pow b 2) (pow (+ 1 (exp a)) 2))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (pow (log (+ 1 (exp a))) 2) (pow b 2))) (/ 1 (pow (+ 1 (exp a)) 2))))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))
#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 (+ (* (+ (* (+ (* 1/6 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)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (/ (log (+ 1 (exp a))) b) (/ 1 (+ 1 (exp a))))))))
Calls

6 calls:

TimeVariablePointExpression
40.0ms
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))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 1/2 (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 (log (+ (exp a) (exp b))) (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (pow (/ b (- (exp a) -1)) 2) (/ b (- (exp a) -1)) (- (exp a) -1) (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))
30.0ms
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))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 1/2 (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 (log (+ (exp a) (exp b))) (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (pow (/ b (- (exp a) -1)) 2) (/ b (- (exp a) -1)) (- (exp a) -1) (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))
21.0ms
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))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 1/2 (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 (log (+ (exp a) (exp b))) (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (pow (/ b (- (exp a) -1)) 2) (/ b (- (exp a) -1)) (- (exp a) -1) (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))
20.0ms
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))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 1/2 (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 (log (+ (exp a) (exp b))) (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (pow (/ b (- (exp a) -1)) 2) (/ b (- (exp a) -1)) (- (exp a) -1) (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))
19.0ms
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))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 1/2 (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 (log (+ (exp a) (exp b))) (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (pow (/ b (- (exp a) -1)) 2) (/ b (- (exp a) -1)) (- (exp a) -1) (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))

rewrite262.0ms (2.8%)

Memory
-17.6MiB live, 215.1MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06504549
06944036
140004028
085533873
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
198 → 334
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 (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)
#s(literal 1/2 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)))))
(+.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))) (/.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 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 (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)))
(pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.f64 (exp.f64 a) #s(literal -1 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)))
#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 (+ (* (+ (* 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 (+ (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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (- (* 1/4 (pow b 2)) (pow (log 2) 2)) (- (* 1/2 b) (log 2)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))))))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ 1/8 (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2))))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))))))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* 1/4 (pow b 2)) (pow (log 2) 2))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (+ (* -1 (* a (+ (log 2) (* 1/4 (pow b 2))))) (* 1/4 (pow b 2))) (pow (log 2) 2))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (+ (* 1/4 (pow b 2)) (* a (- (* -1 (* a (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))))) (+ (log 2) (* 1/4 (pow b 2)))))) (pow (log 2) 2))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (+ (* 1/4 (pow b 2)) (* a (- (* a (- (* -1 (* a (+ 1/8 (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2))))))) (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))))) (+ (log 2) (* 1/4 (pow b 2)))))) (pow (log 2) 2))))
#s(approx (pow (/ b (- (exp a) -1)) 2) #s(hole binary64 (* 1/4 (pow b 2))))
#s(approx (pow (/ b (- (exp a) -1)) 2) #s(hole binary64 (+ (* -1/4 (* a (pow b 2))) (* 1/4 (pow b 2)))))
#s(approx (pow (/ b (- (exp a) -1)) 2) #s(hole binary64 (+ (* 1/4 (pow b 2)) (* a (- (* -1 (* a (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* 1/4 (pow b 2)))))))
#s(approx (pow (/ b (- (exp a) -1)) 2) #s(hole binary64 (+ (* 1/4 (pow b 2)) (* a (- (* a (- (* -1 (* a (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* 1/4 (pow b 2)))))))
#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 (pow (log (+ 1 (exp a))) 2) #s(hole binary64 (pow (log 2) 2)))
#s(approx (pow (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* a (log 2)) (pow (log 2) 2))))
#s(approx (pow (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* a (+ (log 2) (* a (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))))
#s(approx (pow (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* a (+ (log 2) (* a (+ 1/4 (+ (* 1/8 a) (* 1/4 (log 2))))))) (pow (log 2) 2))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (- (* 1/2 b) (log 2))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (- (+ (* -1 (* a (+ 1/2 (* 1/4 b)))) (* 1/2 b)) (log 2))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (- (+ (* 1/2 b) (* a (- (* -1 (* a (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (+ 1/2 (* 1/4 b))))) (log 2))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (- (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (+ 1/2 (* 1/4 b))))) (log 2))))
#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 (+ (* (+ (* 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 (+ (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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2))))
#s(approx (pow (/ b (- (exp a) -1)) 2) #s(hole binary64 (/ (pow b 2) (pow (+ 1 (exp a)) 2))))
#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 (pow (log (+ 1 (exp a))) 2) #s(hole binary64 (pow (log (+ 1 (exp a))) 2)))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))
#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 (+ 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 (+ (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 (+ (* (+ (* (+ (* 1/6 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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -1 (pow (log (+ 1 (exp a))) 2))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (log (+ 1 (exp a))))))
#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 (exp b) #s(hole binary64 (exp 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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) #s(hole binary64 (/ (pow b 2) (pow (+ 1 (exp a)) 2))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (pow (log (+ 1 (exp a))) 2) (pow b 2))) (/ 1 (pow (+ 1 (exp a)) 2))))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))
#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 (+ (* (+ (* (+ (* 1/6 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)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (/ (log (+ 1 (exp a))) b) (/ 1 (+ 1 (exp a))))))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b)))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
(*.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b)
(*.f64 b (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) b (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b))
(fma.f64 b (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (*.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)))
(+.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) b) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b))
(+.f64 (*.f64 b (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (*.f64 b (/.f64 (log1p.f64 (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 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.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) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))
(/.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) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))))
(/.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 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) b)))))
(/.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 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 b))
(/.f64 (log1p.f64 (exp.f64 a)) b)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64))
(log1p.f64 (exp.f64 a))
(/.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal -1 binary64)))
(-.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)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.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 #s(literal -1 binary64)) (log1p.f64 (exp.f64 a)))
(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) (exp.f64 (log1p.f64 (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))))
(-.f64 (cosh.f64 (log1p.f64 (exp.f64 a))) (sinh.f64 (log1p.f64 (exp.f64 a))))
(+.f64 (cosh.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (sinh.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64))
(/.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) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.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)))
(pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #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))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) 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 a (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 a) (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) a)))
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/512 binary64) (pow.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) a)))))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) a))
(+.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) a))
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
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#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
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(+.f64 #s(literal 1 binary64) a)
(+.f64 a #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))
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(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
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(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))
#s(literal 1/6 binary64)
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#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 (* (+ (/ (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 (fma.f64 (/.f64 a b) #s(literal 1/8 binary64) (-.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 (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) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
#s(approx (/ (log (+ 1 (exp a))) b) (fma.f64 (fma.f64 (/.f64 a b) #s(literal 1/8 binary64) (/.f64 #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 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/192 binary64) (/.f64 #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 (+ (* (+ (* 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 (+ (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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) a (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))))) a (neg.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) a (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (*.f64 b b) #s(literal -1/12 binary64) (neg.f64 (*.f64 (*.f64 b b) #s(literal -1/16 binary64)))) #s(literal 1/8 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))) a (neg.f64 (/.f64 (+.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))))) a (neg.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) a (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) a))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) a)) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) a (*.f64 (*.f64 b b) #s(literal 1/4 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (fma.f64 (*.f64 b b) #s(literal -1/12 binary64) (neg.f64 (*.f64 (*.f64 b b) #s(literal -1/16 binary64)))) #s(literal 1/8 binary64)) a)) (+.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))) a) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) a (*.f64 (*.f64 b b) #s(literal 1/4 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
#s(approx (pow (/ b (- (exp a) -1)) 2) (*.f64 (*.f64 b b) #s(literal 1/4 binary64)))
#s(approx (pow (/ b (- (exp a) -1)) 2) (fma.f64 (*.f64 (*.f64 b b) a) #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/4 binary64))))
#s(approx (pow (/ b (- (exp a) -1)) 2) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/16 binary64)) a) #s(literal -1 binary64) (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) a (*.f64 (*.f64 b b) #s(literal 1/4 binary64))))
#s(approx (pow (/ b (- (exp a) -1)) 2) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/12 binary64) (neg.f64 (*.f64 (*.f64 b b) #s(literal -1/16 binary64)))) a)) (*.f64 (*.f64 b b) #s(literal -1/16 binary64))) a (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) a (*.f64 (*.f64 b b) #s(literal 1/4 binary64))))
#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (/ b (- (exp a) -1)) (fma.f64 (*.f64 #s(literal -1/4 binary64) a) b (*.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 (pow (log (+ 1 (exp a))) 2) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (pow (log (+ 1 (exp a))) 2) (fma.f64 (log.f64 #s(literal 2 binary64)) a (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
#s(approx (pow (log (+ 1 (exp a))) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) a (log.f64 #s(literal 2 binary64))) a (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
#s(approx (pow (log (+ 1 (exp a))) 2) (fma.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) a)) #s(literal 1/4 binary64)) a (log.f64 #s(literal 2 binary64))) a (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (-.f64 (*.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 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) a))) (log.f64 #s(literal 2 binary64))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) a)) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))) 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 (*.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)) (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64))) a) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.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) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))
#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 (+ (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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.f64 (-.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (-.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
#s(approx (pow (/ b (- (exp a) -1)) 2) (/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
#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 (pow (log (+ 1 (exp a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
#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 (+ (* (+ (* 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 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) 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) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (log1p.f64 (exp.f64 a))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 (+ (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 (+ (* (+ (* (+ (* 1/6 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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (log1p.f64 (exp.f64 a)))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (neg.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (log1p.f64 (exp.f64 a))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.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)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))
#s(approx (exp b) (exp.f64 b))
#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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
#s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (*.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 b b)) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (*.f64 b b)))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal -1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) 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) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) 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)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)))

eval58.0ms (0.6%)

Memory
15.6MiB live, 101.8MiB allocated; 15ms collecting garbage
Compiler

Compiled 16 209 to 2 064 computations (87.3% saved)

prune25.0ms (0.3%)

Memory
-1.6MiB live, 56.6MiB allocated; 9ms collecting garbage
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New42711438
Fresh6612
Picked325
Done011
Total43620456
Accuracy
98.7%
Counts
456 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.5%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(approx (- b -1) #s(literal 1 binary64)))))
▶46.2%
(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)))))
46.1%
(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)))))
▶49.9%
(log.f64 #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)))))
44.8%
#s(approx (log (+ (exp a) (exp b))) (/.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 (exp.f64 (*.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))))
29.8%
#s(approx (log (+ (exp a) (exp b))) (/.f64 #s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))
47.2%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓47.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
44.1%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶46.4%
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
46.4%
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))
55.6%
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
▶98.0%
#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)))
46.3%
#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)))
45.3%
#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)))))
✓45.2%
#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)))))
45.5%
#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)))))
✓45.9%
#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)))))
▶3.0%
#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 1 052 to 731 computations (30.5% saved)

series136.0ms (1.5%)

Memory
13.8MiB live, 205.0MiB allocated; 23ms collecting garbage
Counts
41 → 149
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 (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 (+ 1 (exp 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 a a) #s(literal 1/8 binary64)))
(*.f64 (*.f64 a a) #s(literal 1/8 binary64))
(*.f64 a a)
#s(literal 1/8 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
(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)))))
(+.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 (exp a) #s(approx (+ 1 a) #s(literal 1 binary64)))
#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)))
(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)
(log.f64 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
#s(literal -1 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 (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 (* (* a a) 1/8) #s(hole binary64 (* 1/8 (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (- (* 1/4 (pow b 2)) (pow (log 2) 2)) (- (* 1/2 b) (log 2)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))))))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ 1/8 (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2))))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))))))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 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 (+ 1 a) #s(hole binary64 1))
#s(approx (+ 1 a) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 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 (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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 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 (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#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 (+ (* (+ (* (+ (* 1/6 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 (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#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 (+ (/ 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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* (+ (* 1/6 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 (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (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 (+ (/ 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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
#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)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))))
Calls

6 calls:

TimeVariablePointExpression
52.0ms
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))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (* (* a a) 1/8) (* a a) 1/8 (log (+ (exp a) (exp b))) (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) (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 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) (+ (* 1/2 b) 1) (- (exp a) -1) -1)
22.0ms
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))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (* (* a a) 1/8) (* a a) 1/8 (log (+ (exp a) (exp b))) (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) (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 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) (+ (* 1/2 b) 1) (- (exp a) -1) -1)
21.0ms
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))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (* (* a a) 1/8) (* a a) 1/8 (log (+ (exp a) (exp b))) (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) (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 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) (+ (* 1/2 b) 1) (- (exp a) -1) -1)
20.0ms
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))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (* (* a a) 1/8) (* a a) 1/8 (log (+ (exp a) (exp b))) (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) (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 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) (+ (* 1/2 b) 1) (- (exp a) -1) -1)
15.0ms
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))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (* (* a a) 1/8) (* a a) 1/8 (log (+ (exp a) (exp b))) (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) (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 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) (+ (* 1/2 b) 1) (- (exp a) -1) -1)

rewrite226.0ms (2.4%)

Memory
15.8MiB live, 283.9MiB allocated; 64ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06184169
06533696
137533682
084443533
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
190 → 343
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 (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 (+ 1 (exp 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 a a) #s(literal 1/8 binary64)))
(*.f64 (*.f64 a a) #s(literal 1/8 binary64))
(*.f64 a a)
#s(literal 1/8 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
(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)))))
(+.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 (exp a) #s(approx (+ 1 a) #s(literal 1 binary64)))
#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)))
(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)
(log.f64 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
#s(literal -1 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 (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 (* (* a a) 1/8) #s(hole binary64 (* 1/8 (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (- (* 1/4 (pow b 2)) (pow (log 2) 2)) (- (* 1/2 b) (log 2)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))))))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ 1/8 (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2))))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))))))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 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 (+ 1 a) #s(hole binary64 1))
#s(approx (+ 1 a) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 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 (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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 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 (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#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 (+ (* (+ (* (+ (* 1/6 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 (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#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 (+ (/ 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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* (+ (* 1/6 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 (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (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 (+ (/ 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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
#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)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) #s(hole binary64 (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))))
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)))
(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 (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)))))
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(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 b (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) #s(literal 1 binary64))
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(+.f64 (*.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))
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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 #s(literal 1 binary64) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))
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(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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) b))
(+.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)
(log.f64 #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)))))
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(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
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(*.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b)
(*.f64 b (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))))
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(fma.f64 #s(literal 1/2 binary64) b (*.f64 b (pow.f64 b #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 b #s(literal 1/2 binary64) (*.f64 b (pow.f64 b #s(literal -1 binary64))))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 b (pow.f64 b #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64)))
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(-.f64 (exp.f64 a) #s(literal -1 binary64))
#s(literal -1 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))))
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#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
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#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))
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#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)))
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#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 (+ 1 (exp a))) b) (/.f64 (log.f64 #s(literal 2 binary64)) b))
#s(approx (/ (log (+ 1 (exp a))) b) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
#s(approx (/ (log (+ 1 (exp a))) b) (fma.f64 (fma.f64 (/.f64 a b) #s(literal 1/8 binary64) (/.f64 #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 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/192 binary64) (/.f64 #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 (pow (+ 1 (exp a)) -1/2) 2) #s(literal 1/2 binary64))
#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)))
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#s(approx (pow (+ 1 (exp a)) -1/2) (fma.f64 (fma.f64 (/.f64 a (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) #s(literal -1/128 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 (* (* a a) 1/8) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))
#s(approx (* a a) (*.f64 a a))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
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#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))))) a (neg.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) a (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (*.f64 b b) #s(literal -1/12 binary64) (neg.f64 (*.f64 (*.f64 b b) #s(literal -1/16 binary64)))) #s(literal 1/8 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64) (*.f64 b #s(literal -1/48 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))) a (neg.f64 (/.f64 (+.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))))) a (neg.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) a (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))
#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 (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b a) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (*.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) -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 (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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (-.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (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 (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) (+.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) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (+.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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log1p.f64 (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 (+ (* 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 (+ (* (+ (* (+ (* 1/6 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 (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) (+.f64 (+.f64 b (exp.f64 a)) #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 (+ (/ 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 (+ (/ 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 (+ (* 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 (+ (* (+ (* (+ (* 1/6 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 (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b b))) (*.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 (+ (/ 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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)))
#s(approx (+ (* 1/2 b) (log 2)) (neg.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) b) #s(literal 1/2 binary64)) b)))
#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)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (- (exp a) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 1 binary64)) b) #s(literal -1 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))

eval72.0ms (0.8%)

Memory
-30.6MiB live, 71.4MiB allocated; 35ms collecting garbage
Compiler

Compiled 13 665 to 1 949 computations (85.7% saved)

prune31.0ms (0.3%)

Memory
-0.7MiB live, 48.6MiB allocated; 5ms collecting garbage
Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New3677374
Fresh4812
Picked325
Done033
Total37420394
Accuracy
98.7%
Counts
394 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.5%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(approx (- b -1) #s(literal 1 binary64)))))
✓46.2%
(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)))))
46.1%
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
46.2%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (- (exp a) -1) #s(literal 2 binary64)))))
44.8%
#s(approx (log (+ (exp a) (exp b))) (/.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 (exp.f64 (*.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))))
29.8%
#s(approx (log (+ (exp a) (exp b))) (/.f64 #s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))
47.2%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓47.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
44.1%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓46.4%
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
55.6%
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
46.3%
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b))))
12.5%
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
98.0%
#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)))
54.8%
#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)))
45.3%
#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)))))
✓45.2%
#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)))))
45.5%
#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)))))
✓45.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
3.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 a (*.f64 #s(literal 1/8 binary64) a)))))
Compiler

Compiled 1 769 to 634 computations (64.2% saved)

regimes60.0ms (0.6%)

Memory
-15.0MiB live, 78.1MiB allocated; 5ms collecting garbage
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 a (*.f64 #s(literal 1/8 binary64) a)))))
#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))) #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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (- (exp a) -1) #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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #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)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.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)))))
(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) #s(approx (- b -1) #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 #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)))))
(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)))
#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)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))
#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))) (/.f64 #s(approx (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (-.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 (*.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))) (/.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)))))
#s(approx (log (+ (exp a) (exp b))) (/.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 (exp.f64 (*.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (-.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))))))
#s(approx (log (+ (exp a) (exp b))) (/.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)))))))
#s(approx (log (+ (exp a) (exp b))) (+.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))))))))
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:

12.0ms
a
11.0ms
b
8.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms
(exp.f64 b)
8.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
98.1%1(exp.f64 b)
98.1%1(exp.f64 a)
98.1%1(+.f64 (exp.f64 a) (exp.f64 b))
98.1%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.1%1a
98.1%1b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes44.0ms (0.5%)

Memory
7.9MiB live, 58.1MiB allocated; 6ms collecting garbage
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 a (*.f64 #s(literal 1/8 binary64) a)))))
#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))) #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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (- (exp a) -1) #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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #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)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.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)))))
(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) #s(approx (- b -1) #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 #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)))))
(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)))
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:

8.0ms
(exp.f64 a)
8.0ms
b
8.0ms
a
6.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
55.6%1(exp.f64 b)
98.5%2(exp.f64 a)
98.5%2(+.f64 (exp.f64 a) (exp.f64 b))
98.5%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.5%2a
67.2%2b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes27.0ms (0.3%)

Memory
35.3MiB live, 35.3MiB allocated; 0ms collecting garbage
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 a (*.f64 #s(literal 1/8 binary64) a)))))
#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))) #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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (- (exp a) -1) #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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #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)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.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)))))
(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) #s(approx (- b -1) #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 #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)))))
(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:

8.0ms
a
6.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.1%2(exp.f64 a)
97.6%2(+.f64 (exp.f64 a) (exp.f64 b))
97.6%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.1%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes16.0ms (0.2%)

Memory
-27.1MiB live, 19.2MiB allocated; 2ms collecting garbage
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 a (*.f64 #s(literal 1/8 binary64) a)))))
#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))) #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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (- (exp a) -1) #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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #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)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.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)))))
(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) #s(approx (- b -1) #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 #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)))))
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 #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)))))
Calls

2 calls:

9.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.1%2(exp.f64 a)
98.1%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes14.0ms (0.1%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 a (*.f64 #s(literal 1/8 binary64) a)))))
#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))) #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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (- (exp a) -1) #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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #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)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.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)))))
(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) #s(approx (- b -1) #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:

7.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.9%2(exp.f64 a)
97.9%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes15.0ms (0.2%)

Memory
-28.0MiB live, 18.1MiB allocated; 2ms collecting garbage
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 a (*.f64 #s(literal 1/8 binary64) a)))))
#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))) #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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (- (exp a) -1) #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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #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)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.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)))))
(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) #s(approx (- b -1) #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:

7.0ms
a
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.8%2(exp.f64 a)
97.8%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes20.0ms (0.2%)

Memory
27.5MiB live, 27.5MiB allocated; 0ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 a (*.f64 #s(literal 1/8 binary64) a)))))
#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))) #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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (- (exp a) -1) #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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #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)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.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)))))
(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)))))
(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)))))
Calls

4 calls:

6.0ms
a
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
96.7%2(+.f64 (exp.f64 a) (exp.f64 b))
96.7%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
97.5%2(exp.f64 a)
97.5%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes12.0ms (0.1%)

Memory
-28.6MiB live, 17.4MiB allocated; 3ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 a (*.f64 #s(literal 1/8 binary64) a)))))
#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))) #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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (- (exp a) -1) #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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #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)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.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)))))
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

2 calls:

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

Compiled 3 to 5 computations (-66.7% saved)

regimes10.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 a (*.f64 #s(literal 1/8 binary64) a)))))
#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))) #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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (- (exp a) -1) #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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #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)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.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
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.3%2(exp.f64 a)
97.3%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes22.0ms (0.2%)

Memory
-21.5MiB live, 27.9MiB allocated; 5ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 a (*.f64 #s(literal 1/8 binary64) a)))))
#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))) #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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (- (exp a) -1) #s(literal 2 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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:

4.0ms
a
4.0ms
b
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
46.4%1(exp.f64 b)
46.4%1b
54.0%2(+.f64 (exp.f64 a) (exp.f64 b))
54.0%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
54.1%2(exp.f64 a)
54.1%2a
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes6.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 a (*.f64 #s(literal 1/8 binary64) a)))))
#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))) #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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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

2 calls:

3.0ms
a
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
54.0%2(exp.f64 a)
54.0%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes8.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 a (*.f64 #s(literal 1/8 binary64) a)))))
#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))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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

4 calls:

2.0ms
a
2.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
53.9%2(+.f64 (exp.f64 a) (exp.f64 b))
53.9%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
54.0%2(exp.f64 a)
54.0%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 a (*.f64 #s(literal 1/8 binary64) a)))))
#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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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
2.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
53.7%2(+.f64 (exp.f64 a) (exp.f64 b))
53.7%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
53.8%2(exp.f64 a)
53.8%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes11.0ms (0.1%)

Memory
-30.3MiB live, 16.4MiB allocated; 2ms collecting garbage
Accuracy

Total -6.5b remaining (-11.6%)

Threshold costs -6.5b (-11.6%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 a (*.f64 #s(literal 1/8 binary64) a)))))
#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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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:

3.0ms
b
2.0ms
a
1.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
12.5%1b
12.5%1(exp.f64 b)
12.5%1(+.f64 (exp.f64 a) (exp.f64 b))
12.5%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
12.5%1(exp.f64 a)
12.5%1a
Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch24.0ms (0.3%)

Memory
25.1MiB live, 25.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
-5130.638411143342
-0.6587233780574543
Samples
15.0ms107×1valid
1.0ms21×0valid
Compiler

Compiled 265 to 227 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-exp: 5.0ms (39.6% of total)
ival-log: 4.0ms (31.7% of total)
adjust: 2.0ms (15.8% of total)
ival-add: 1.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
6.0ms
-5130.638411143342
-0.6587233780574543
Samples
3.0ms25×1valid
0.0ms7×0valid
Compiler

Compiled 353 to 283 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
adjust: 1.0ms (34.9% of total)
ival-exp: 1.0ms (34.9% of total)
ival-log: 1.0ms (34.9% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-5130.638411143342
-0.6587233780574543
Compiler

Compiled 353 to 291 computations (17.6% saved)

bsearch4.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
4.0ms
-5130.638411143342
-0.6587233780574543
Samples
2.0ms15×1valid
0.0ms1×0valid
Compiler

Compiled 297 to 251 computations (15.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (63.1% of total)
ival-log: 1.0ms (63.1% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Memory
-17.1MiB live, 28.5MiB allocated; 5ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
-5130.638411143342
-0.6587233780574543
Samples
18.0ms85×1valid
7.0ms18×2valid
1.0ms9×0valid
Compiler

Compiled 297 to 251 computations (15.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-log: 11.0ms (50.9% of total)
ival-exp: 6.0ms (27.8% of total)
adjust: 3.0ms (13.9% of total)
ival-add: 1.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-5130.638411143342
-0.6587233780574543
Samples
6.0ms96×0valid
Compiler

Compiled 385 to 299 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (60.5% of total)
ival-log: 1.0ms (30.2% 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)

bsearch10.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
-5130.638411143342
-0.6587233780574543
Samples
5.0ms80×0valid
Compiler

Compiled 425 to 339 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 1.0ms (37.2% of total)
ival-log: 1.0ms (37.2% 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)

bsearch12.0ms (0.1%)

Memory
-35.6MiB live, 10.2MiB allocated; 4ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
-5130.638411143342
-0.6587233780574543
Samples
8.0ms44×1valid
0.0ms4×0valid
Compiler

Compiled 385 to 315 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 2.0ms (29.2% of total)
ival-exp: 2.0ms (29.2% of total)
ival-log: 2.0ms (29.2% of total)
adjust: 1.0ms (14.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Memory
18.0MiB live, 18.0MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
-5130.638411143342
-0.6587233780574543
Samples
13.0ms78×1valid
0.0ms2×0valid
Compiler

Compiled 553 to 379 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 5.0ms (48.3% of total)
ival-log: 3.0ms (29% of total)
adjust: 2.0ms (19.3% of total)
ival-add: 1.0ms (9.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
7.0ms
-5130.638411143342
-0.6587233780574543
Samples
4.0ms64×0valid
Compiler

Compiled 529 to 363 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (45.4% of total)
ival-log: 1.0ms (45.4% 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)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-5130.638411143342
-0.6587233780574543
Compiler

Compiled 497 to 331 computations (33.4% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-5130.638411143342
-0.6587233780574543
Compiler

Compiled 505 to 347 computations (31.3% saved)

simplify70.0ms (0.7%)

Memory
-13.4MiB live, 33.9MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0109704
1131704
2194704
3405629
41370619
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 -40 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 #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))))))
(if (<=.f64 a #s(literal -34 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 -420 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 -1 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) (+.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))))))
(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 -46 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 -122 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 -3152519739159347/2251799813685248 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 -122 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 -40 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 #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))))))
(if (<=.f64 a #s(literal -34 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 -420 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 -1 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) (+.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))))))
(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 -46 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 -122 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 -122 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 -3152519739159347/2251799813685248 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 -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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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 -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 -122 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))))
(if (<=.f64 a #s(literal -122 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 (/ (- (pow (/ b (- (exp a) -1)) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ 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)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))

derivations414.0ms (4.4%)

Memory
-9.2MiB live, 272.4MiB allocated; 33ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 619 to 108 computations (82.6% saved)

preprocess77.0ms (0.8%)

Memory
23.6MiB live, 116.8MiB allocated; 15ms collecting garbage
Compiler

Compiled 1 394 to 328 computations (76.5% saved)

end0.0ms (0%)

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

Profiling

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