symmetry log of sum of exp

Time bar (total: 10.3s)

start0.0ms (0%)

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

analyze1.3s (12.2%)

Memory
-143.5MiB live, 237.2MiB allocated; 1.5s 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)

sample5.9s (57.7%)

Memory
147.6MiB live, 6 864.5MiB allocated; 1.1s collecting garbage
Samples
3.0s7 763×5exit
999.0ms1 645×2valid
595.0ms2 377×1valid
390.0ms4 234×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.8s
ival-log: 1.3s (32.6% of total)
adjust: 1.2s (30.1% of total)
ival-exp: 999.0ms (26% of total)
ival-add: 431.0ms (11.2% of total)
ival-assert: 7.0ms (0.2% of total)
Bogosity

explain217.0ms (2.1%)

Memory
-26.4MiB live, 211.0MiB allocated; 70ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1280-0-(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)))sensitivity1240
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
Confusion
Predicted +Predicted -
+1280
-0128
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12800
-00128
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0128
1128
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
61.0ms94×2valid
32.0ms154×1valid
16.0ms264×0valid
Compiler

Compiled 44 to 22 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-log: 52.0ms (58.2% of total)
ival-exp: 25.0ms (28% of total)
adjust: 7.0ms (7.8% of total)
ival-add: 4.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess173.0ms (1.7%)

Memory
6.7MiB live, 196.5MiB allocated; 20ms 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
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 6 to 6 computations (0% saved)

series98.0ms (1%)

Memory
20.0MiB live, 109.7MiB allocated; 10ms 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
30.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
30.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
21.0ms
a
@-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)

rewrite225.0ms (2.2%)

Memory
-47.9MiB live, 187.3MiB allocated; 85ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval8.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 099 to 293 computations (73.3% saved)

prune15.0ms (0.1%)

Memory
-39.8MiB live, 16.4MiB allocated; 11ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New64771
Fresh000
Picked011
Done000
Total64872
Accuracy
99.7%
Counts
72 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
52.3%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
52.2%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶51.8%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
▶50.5%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶98.7%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
▶49.7%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶50.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
Compiler

Compiled 178 to 150 computations (15.7% saved)

series131.0ms (1.3%)

Memory
16.2MiB live, 197.4MiB allocated; 29ms collecting garbage
Counts
21 → 63
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)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(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))
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 (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (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 (- b -1) #s(hole binary64 1))
#s(approx (- b -1) #s(hole binary64 (+ 1 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 b))) #s(hole binary64 (log (+ 1 (exp 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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
Calls

6 calls:

TimeVariablePointExpression
41.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1))
31.0ms
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))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1))
26.0ms
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))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1))
25.0ms
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))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1))
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))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1))

rewrite208.0ms (2%)

Memory
43.5MiB live, 227.1MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02711190
02911137
117121135
095541073
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
84 → 136
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)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(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))
#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 (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (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 (- b -1) #s(hole binary64 1))
#s(approx (- b -1) #s(hole binary64 (+ 1 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 b))) #s(hole binary64 (log (+ 1 (exp 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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))))
(-.f64 (/.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 b) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (+.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
#s(literal -1 binary64)
(log1p.f64 (exp.f64 a))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 b)))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (sinh.f64 b) (sinh.f64 b)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 #s(approx (exp 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) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))))
(log.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
(/.f64 (+.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(approx (exp 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) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))) (/.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.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))))))
(/.f64 (neg.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)))) (neg.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))))))))
(/.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))) (-.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(/.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))) (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)))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) (/.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))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (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))))))) (/.f64 (pow.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(literal 3 binary64)) (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))))))))
(+.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) (exp.f64 a))
(+.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 (neg.f64 (-.f64 (*.f64 b b) #s(literal 1 binary64))) (neg.f64 (+.f64 b #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 b b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 b b) #s(literal 1 binary64)) (+.f64 b #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 b b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 b #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 b b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1 binary64))))))
(-.f64 b #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))))
#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 (log (+ 1 (exp b))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (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 (- b -1) #s(literal 1 binary64))
#s(approx (- b -1) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b))
#s(approx (log (+ 1 (exp b))) (log1p.f64 (exp.f64 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 (+ (/ 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)))

eval39.0ms (0.4%)

Memory
-11.8MiB live, 32.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 4 142 to 691 computations (83.3% saved)

prune39.0ms (0.4%)

Memory
-12.3MiB live, 32.1MiB allocated; 4ms collecting garbage
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New17413187
Fresh202
Picked325
Done101
Total18015195
Accuracy
99.7%
Counts
195 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶78.2%
#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))))))
✓49.7%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓50.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
49.1%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
48.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶47.6%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
47.0%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶48.3%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
49.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
52.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
49.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
▶49.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
48.7%
#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)))))
48.7%
#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)))))
▶48.3%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
Compiler

Compiled 590 to 430 computations (27.1% saved)

series190.0ms (1.8%)

Memory
18.3MiB live, 353.0MiB allocated; 78ms collecting garbage
Counts
36 → 134
Calls
Call 1
Inputs
#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))))))
(-.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 (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))))
(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)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
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)))
(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))))
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#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 (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
(log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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)))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2))))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))) (* a (- (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2)))))))))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2))))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))) (* a (- (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2))) (* a (- (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (pow (- (* 1/2 b) (log 2)) 2))))) (+ (* -1/4 (/ (* (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1/64 (/ (* (pow b 2) (* (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2))))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 3))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (+ (* -3 (+ 1/2 (* 1/4 b))) (* 5/3 (- (* 1/2 b) (log 2))))))) (pow (- (* 1/2 b) (log 2)) 2))) (* 1/8 (/ 1 (- (* 1/2 b) (log 2))))))))))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2)))))))))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2))))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* -1/16 (/ (* a (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))) (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (* a (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2)))))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (log 2)) 2))))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (* a (- (* -1 (* a (+ (* -1/4 (/ (* (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1/64 (/ (* (pow b 2) (* (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2))))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (+ (* -3 (+ 1/2 (* 1/4 b))) (* 5/3 (- (* 1/2 b) (log 2))))))) (pow (- (* 1/2 b) (log 2)) 2))))))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2)))))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (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 (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 (- (/ 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 (+ 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 (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (pow (log 2) 2) (- (* 1/2 b) (log 2)))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* a (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (log 2) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (+ (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2)))) (* a (- (* 1/8 (/ 1 (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (pow (- (* 1/2 b) (log 2)) 2))))))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (log 2) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#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 (+ (* 1/2 a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (pow b 2) (* (pow (+ 1 (exp a)) 2) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))))
#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 (exp a) #s(hole binary64 (exp a)))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))))
#s(approx (pow (log (+ 1 (exp a))) 2) #s(hole binary64 (pow (log (+ 1 (exp a))) 2)))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* a (+ 1/2 (/ (log 2) a)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) #s(hole binary64 (- (/ b (+ 1 (exp a))) (* -1 (log (+ 1 (exp a)))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (/ (pow b 2) (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* (pow b 2) (- (* -1 (/ b (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)))) (/ 1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* (pow b 2) (- (* b (- (* -1 (/ b (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 4)))) (/ 1 (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3))))) (/ 1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* (pow b 2) (- (* b (- (* b (- (* -1 (/ b (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 5)))) (/ 1 (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 4))))) (/ 1 (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3))))) (/ 1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))
#s(approx b #s(hole binary64 b))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (log (+ 1 (exp a))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (log (+ 1 (exp a))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a)))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1 (/ b (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (- (* -1 (/ b (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)))) (/ 1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 b))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) #s(hole binary64 (* b (- (+ (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (pow b 2))) (/ 1 (+ 1 (exp a)))) (* -1 (/ (log (+ 1 (exp a))) b))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* b (- (+ (/ 1 (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))) (* -1 (/ (log (+ 1 (exp a))) b))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* b (- (+ (/ 1 (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) (pow b 3))) (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))))))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (+ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b)) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (- (+ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3)) (pow b 2))) (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b))) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (- (+ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 5) (pow (+ 1 (exp a)) 4)) (pow b 3))) (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b)) (* -1 (/ (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3)) (pow b 2))))) b)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* 1/8 (pow b 2))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* 1/8 b)))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* b (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (pow (/ b (- (exp a) -1)) 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 (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b)) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) 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))))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b))) b))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* -1 (/ (+ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) (/ (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3)) b)) b))) b))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3))) (* -1 (/ (* (pow (log (+ 1 (exp a))) 5) (pow (+ 1 (exp a)) 4)) b))) b)) (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2))) b))) b))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))))
Calls

6 calls:

TimeVariablePointExpression
59.0ms
b
@0
((log (+ (exp a) (exp b))) (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (pow (/ b (- (exp a) -1)) 2) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 2 (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log (+ 1 (exp a))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (pow (log (+ 1 (exp a))) 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) 1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) 1/2 (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6)
44.0ms
a
@-inf
((log (+ (exp a) (exp b))) (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (pow (/ b (- (exp a) -1)) 2) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 2 (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log (+ 1 (exp a))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (pow (log (+ 1 (exp a))) 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) 1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) 1/2 (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6)
26.0ms
b
@inf
((log (+ (exp a) (exp b))) (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (pow (/ b (- (exp a) -1)) 2) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 2 (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log (+ 1 (exp a))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (pow (log (+ 1 (exp a))) 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) 1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) 1/2 (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6)
23.0ms
a
@inf
((log (+ (exp a) (exp b))) (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (pow (/ b (- (exp a) -1)) 2) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 2 (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log (+ 1 (exp a))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (pow (log (+ 1 (exp a))) 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) 1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) 1/2 (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6)
22.0ms
b
@-inf
((log (+ (exp a) (exp b))) (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (pow (/ b (- (exp a) -1)) 2) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 2 (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log (+ 1 (exp a))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (pow (log (+ 1 (exp a))) 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) 1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) 1/2 (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6)

rewrite208.0ms (2%)

Memory
35.4MiB live, 255.6MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07086183
07475682
144635653
083675403
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
170 → 269
Calls
Call 1
Inputs
#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))))))
(-.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 (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))))
(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)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
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)))
(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))))
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#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 (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
(log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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)))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2))))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))) (* a (- (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2)))))))))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2))))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))) (* a (- (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2))) (* a (- (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (pow (- (* 1/2 b) (log 2)) 2))))) (+ (* -1/4 (/ (* (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1/64 (/ (* (pow b 2) (* (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2))))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 3))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (+ (* -3 (+ 1/2 (* 1/4 b))) (* 5/3 (- (* 1/2 b) (log 2))))))) (pow (- (* 1/2 b) (log 2)) 2))) (* 1/8 (/ 1 (- (* 1/2 b) (log 2))))))))))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2)))))))))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2))))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* -1/16 (/ (* a (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))) (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (* a (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2)))))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (log 2)) 2))))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (* a (- (* -1 (* a (+ (* -1/4 (/ (* (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1/64 (/ (* (pow b 2) (* (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2))))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (+ (* -3 (+ 1/2 (* 1/4 b))) (* 5/3 (- (* 1/2 b) (log 2))))))) (pow (- (* 1/2 b) (log 2)) 2))))))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2)))))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (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 (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 (- (/ 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 (+ 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 (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (pow (log 2) 2) (- (* 1/2 b) (log 2)))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* a (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (log 2) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (+ (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2)))) (* a (- (* 1/8 (/ 1 (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (pow (- (* 1/2 b) (log 2)) 2))))))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (log 2) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#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 (+ (* 1/2 a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (pow b 2) (* (pow (+ 1 (exp a)) 2) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))))
#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 (exp a) #s(hole binary64 (exp a)))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))))
#s(approx (pow (log (+ 1 (exp a))) 2) #s(hole binary64 (pow (log (+ 1 (exp a))) 2)))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* a (+ 1/2 (/ (log 2) a)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) #s(hole binary64 (- (/ b (+ 1 (exp a))) (* -1 (log (+ 1 (exp a)))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (/ (pow b 2) (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* (pow b 2) (- (* -1 (/ b (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)))) (/ 1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* (pow b 2) (- (* b (- (* -1 (/ b (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 4)))) (/ 1 (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3))))) (/ 1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* (pow b 2) (- (* b (- (* b (- (* -1 (/ b (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 5)))) (/ 1 (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 4))))) (/ 1 (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3))))) (/ 1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))
#s(approx b #s(hole binary64 b))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (log (+ 1 (exp a))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (log (+ 1 (exp a))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a)))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1 (/ b (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (- (* -1 (/ b (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)))) (/ 1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 b))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) #s(hole binary64 (* b (- (+ (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (pow b 2))) (/ 1 (+ 1 (exp a)))) (* -1 (/ (log (+ 1 (exp a))) b))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* b (- (+ (/ 1 (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))) (* -1 (/ (log (+ 1 (exp a))) b))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* b (- (+ (/ 1 (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) (pow b 3))) (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))))))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (+ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b)) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (- (+ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3)) (pow b 2))) (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b))) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (- (+ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 5) (pow (+ 1 (exp a)) 4)) (pow b 3))) (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b)) (* -1 (/ (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3)) (pow b 2))))) b)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* 1/8 (pow b 2))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* 1/8 b)))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* b (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (pow (/ b (- (exp a) -1)) 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 (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b)) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) 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))))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b))) b))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* -1 (/ (+ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) (/ (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3)) b)) b))) b))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3))) (* -1 (/ (* (pow (log (+ 1 (exp a))) 5) (pow (+ 1 (exp a)) 4)) b))) b)) (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2))) b))) b))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))))
Outputs
#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 (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)))) #s(literal 2 binary64)) (pow.f64 (/.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(literal 2 binary64))) (+.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 (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)))) #s(literal 3 binary64)) (pow.f64 (/.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(literal 3 binary64))) (+.f64 (pow.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)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.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(literal 2 binary64)) (*.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 (*.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 (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)))
(/.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)) (-.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 (neg.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (-.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)) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(*.f64 (fabs.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (fabs.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(*.f64 (exp.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (exp.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
(*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(pow.f64 (exp.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 b) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 1 binary64)))
b
(/.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 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
#s(literal -1 binary64)
#s(literal 2 binary64)
(/.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)) (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 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
(*.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 a)))
(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 (neg.f64 (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 (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 (fabs.f64 (log1p.f64 (exp.f64 a))) (fabs.f64 (log1p.f64 (exp.f64 a))))
(*.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 a)))) (exp.f64 (log.f64 (log1p.f64 (exp.f64 a)))))
(*.f64 (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(pow.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 a)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#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 (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #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 #s(literal 1/2 binary64) a) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a)))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #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)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a)))))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) a))
(+.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
#s(literal 1/2 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 4 binary64)) (log.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(log.f64 #s(literal 2 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #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) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #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) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) b)))
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(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
(fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) b))
(+.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) b))
#s(literal 1/8 binary64)
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#s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))))) (*.f64 b b)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/16 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) #s(literal -4 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))))) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) #s(literal -4 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal 5/3 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))))) (*.f64 b b)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))))) a)) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))) b) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) #s(literal -4 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))))) (*.f64 b b)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))))) a (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 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))))) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))) (*.f64 b b)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/16 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp 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)))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) a) (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) a) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))) b) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -1/64 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) #s(literal -4 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))))) (*.f64 b b)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/16 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))) (*.f64 b b)) (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))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))) b) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -1/64 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) #s(literal -4 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))))) (*.f64 b b)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/16 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) #s(literal -4 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))))) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -1/64 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) #s(literal -4 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal 5/3 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))))) (*.f64 b b)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/16 binary64)))) a)) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))) b) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -1/64 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) #s(literal -4 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))))) (*.f64 b b)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/16 binary64)))) a (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))) (*.f64 b b)) (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))))))
#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 #s(literal -1/4 binary64) (*.f64 b b))) 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 #s(literal -1/4 binary64) (*.f64 b b))) 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 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 (- (/ 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 (+ 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 (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.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 (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (-.f64 (/.f64 (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)) (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 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))
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#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 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 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 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 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 (+ (* 1/2 a) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* 1/2 a) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+.f64 #s(literal 1 binary64) a))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 a) 1/2) (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (-.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.f64 (*.f64 b b) (*.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (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 (exp a) (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))) (log1p.f64 (exp.f64 a)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.f64 (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 (log (+ 1 (exp a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 a #s(literal -2 binary64)))) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 a a)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (+.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/6 binary64)) (*.f64 a a)))
#s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a))
#s(approx (+ (* 1/6 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) a))
#s(approx (+ (* 1/2 a) (log 2)) (neg.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)) a)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -2 binary64))) a)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (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 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 a))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 b (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 a))) #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 b (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)))) b) (pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 a))) #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 b (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 5 binary64)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -4 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal -3 binary64)))) b) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)))) b) (pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 a))) #s(literal -1 binary64))) (*.f64 b b)))
#s(approx b b)
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (log1p.f64 (exp.f64 a))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (log1p.f64 (exp.f64 a))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (log1p.f64 (exp.f64 a)) #s(literal -1 binary64) (neg.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (-.f64 (neg.f64 (/.f64 b (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 a))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a)))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 b (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 a))) #s(literal -1 binary64))) b) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a)))))
#s(approx (log (+ 1 (exp b))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* 1/8 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/8 b) 1/2) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 b b)) #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b))) b))
#s(approx (/ (pow (/ b (- (exp a) -1)) 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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b)) b))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b 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 (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b)))) b))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 5 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) (*.f64 b b)))))) b))
#s(approx (log (+ 1 (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b b))) (*.f64 b b)))
#s(approx (+ (* 1/8 b) 1/2) (*.f64 #s(literal 1/8 binary64) b))
#s(approx (+ (* 1/8 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (pow (/ b (- (exp a) -1)) 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 (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (log1p.f64 (exp.f64 a))) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b) #s(literal -1 binary64) (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)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) b) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b))) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 5 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)) b)))) b))) b))) b)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) b) #s(literal 1/2 binary64)) b) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 b b)))

eval67.0ms (0.7%)

Memory
-33.6MiB live, 108.8MiB allocated; 26ms collecting garbage
Compiler

Compiled 19 364 to 1 924 computations (90.1% saved)

prune29.0ms (0.3%)

Memory
-1.2MiB live, 45.9MiB allocated; 2ms collecting garbage
Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New4017408
Fresh178
Picked145
Done022
Total40320423
Accuracy
99.8%
Counts
423 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
#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)))) #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (log1p.f64 (exp.f64 a)) #s(literal -1 binary64) (neg.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))))
▶77.7%
#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)))) #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (log1p.f64 (exp.f64 a))))))
✓49.7%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓50.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
49.1%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
48.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓47.6%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
▶47.0%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓48.3%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
52.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
49.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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)) (-.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)))))))
49.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
49.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
✓49.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
9.4%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
5.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))))
▶48.7%
#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)))))
▶48.7%
#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)))))
✓48.3%
#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)))))
▶2.6%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
Compiler

Compiled 1 034 to 673 computations (34.9% saved)

series102.0ms (1%)

Memory
24.3MiB live, 172.2MiB allocated; 33ms collecting garbage
Counts
38 → 136
Calls
Call 1
Inputs
#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)))) #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (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)))) #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (log1p.f64 (exp.f64 a)))))
(/.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))))
(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)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
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)))
(log1p.f64 (exp.f64 a))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (log1p.f64 (exp.f64 a))))
(neg.f64 (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(log.f64 #s(literal 2 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 a a)
#s(literal -1/192 binary64)
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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)))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2))))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))) (* a (- (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2)))))))))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2))))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))) (* a (- (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2))) (* a (- (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (pow (- (* 1/2 b) (log 2)) 2))))) (+ (* -1/4 (/ (* (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1/64 (/ (* (pow b 2) (* (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2))))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 3))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (+ (* -3 (+ 1/2 (* 1/4 b))) (* 5/3 (- (* 1/2 b) (log 2))))))) (pow (- (* 1/2 b) (log 2)) 2))) (* 1/8 (/ 1 (- (* 1/2 b) (log 2))))))))))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2)))))))))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2))))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* -1/16 (/ (* a (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))) (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (* a (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2)))))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (log 2)) 2))))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (* a (- (* -1 (* a (+ (* -1/4 (/ (* (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1/64 (/ (* (pow b 2) (* (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2))))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (+ (* -3 (+ 1/2 (* 1/4 b))) (* 5/3 (- (* 1/2 b) (log 2))))))) (pow (- (* 1/2 b) (log 2)) 2))))))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2)))))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (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 (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 (- (/ 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 (+ 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 (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (pow (log 2) 2) (- (* 1/2 b) (log 2)))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* a (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (log 2) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (+ (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2)))) (* a (- (* 1/8 (/ 1 (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (pow (- (* 1/2 b) (log 2)) 2))))))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (log 2) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (neg (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (log 2))))
#s(approx (neg (log (+ 1 (exp a)))) #s(hole binary64 (- (* -1/2 a) (log 2))))
#s(approx (neg (log (+ 1 (exp a)))) #s(hole binary64 (- (* a (- (* -1/8 a) 1/2)) (log 2))))
#s(approx (neg (log (+ 1 (exp a)))) #s(hole binary64 (- (* a (- (* a (- (* 1/192 (pow a 2)) 1/8)) 1/2)) (log 2))))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (* 1/2 a) #s(hole binary64 (* 1/2 a)))
#s(approx (+ 1 a) #s(hole binary64 1))
#s(approx (+ 1 a) #s(hole binary64 (+ 1 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 (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow a 2)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (pow b 2) (* (pow (+ 1 (exp a)) 2) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))))
#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 (exp a) #s(hole binary64 (exp a)))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))))
#s(approx (neg (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (log (+ 1 (exp a))))))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* a (+ 1/2 (/ (log 2) a)))))
#s(approx (+ 1 a) #s(hole binary64 a))
#s(approx (+ 1 a) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* 1/8 (pow a 2))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* 1/8 a)))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* a (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* -1/192 (pow a 4))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1/192 (pow a 3))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow a 2))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) #s(hole binary64 (- (/ b (+ 1 (exp a))) (* -1 (log (+ 1 (exp a)))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (/ (pow b 2) (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* (pow b 2) (- (* -1 (/ b (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)))) (/ 1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* (pow b 2) (- (* b (- (* -1 (/ b (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 4)))) (/ 1 (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3))))) (/ 1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* (pow b 2) (- (* b (- (* b (- (* -1 (/ b (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 5)))) (/ 1 (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 4))))) (/ 1 (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3))))) (/ 1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))
#s(approx b #s(hole binary64 b))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (log (+ 1 (exp a))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (log (+ 1 (exp a))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a)))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1 (/ b (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (- (* -1 (/ b (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)))) (/ 1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) #s(hole binary64 (* b (- (+ (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (pow b 2))) (/ 1 (+ 1 (exp a)))) (* -1 (/ (log (+ 1 (exp a))) b))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* b (- (+ (/ 1 (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))) (* -1 (/ (log (+ 1 (exp a))) b))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* b (- (+ (/ 1 (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) (pow b 3))) (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))))))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (+ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b)) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (- (+ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3)) (pow b 2))) (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b))) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (- (+ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 5) (pow (+ 1 (exp a)) 4)) (pow b 3))) (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b)) (* -1 (/ (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3)) (pow b 2))))) b)))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (pow (/ b (- (exp a) -1)) 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 (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b)) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) 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))))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b))) b))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* -1 (/ (+ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) (/ (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3)) b)) b))) b))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3))) (* -1 (/ (* (pow (log (+ 1 (exp a))) 5) (pow (+ 1 (exp a)) 4)) b))) b)) (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2))) b))) b))))
Calls

6 calls:

TimeVariablePointExpression
33.0ms
a
@-inf
((log (+ (exp a) (exp b))) (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (pow (/ b (- (exp a) -1)) 2) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 2 (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log (+ 1 (exp a))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) 1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192)
33.0ms
a
@inf
((log (+ (exp a) (exp b))) (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (pow (/ b (- (exp a) -1)) 2) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 2 (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log (+ 1 (exp a))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) 1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192)
13.0ms
b
@-inf
((log (+ (exp a) (exp b))) (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (pow (/ b (- (exp a) -1)) 2) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 2 (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log (+ 1 (exp a))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) 1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192)
10.0ms
b
@inf
((log (+ (exp a) (exp b))) (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (pow (/ b (- (exp a) -1)) 2) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 2 (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log (+ 1 (exp a))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) 1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192)
4.0ms
a
@0
((log (+ (exp a) (exp b))) (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (pow (/ b (- (exp a) -1)) 2) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 2 (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log (+ 1 (exp a))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) 1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192)

rewrite200.0ms (2%)

Memory
11.4MiB live, 287.9MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07066288
07405807
142865778
080445542
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
174 → 273
Calls
Call 1
Inputs
#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)))) #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (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)))) #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (log1p.f64 (exp.f64 a)))))
(/.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))))
(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)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
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)))
(log1p.f64 (exp.f64 a))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (log1p.f64 (exp.f64 a))))
(neg.f64 (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(log.f64 #s(literal 2 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 a a)
#s(literal -1/192 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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)))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2))))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))) (* a (- (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2)))))))))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2))))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))) (* a (- (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2))) (* a (- (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (pow (- (* 1/2 b) (log 2)) 2))))) (+ (* -1/4 (/ (* (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1/64 (/ (* (pow b 2) (* (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2))))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 3))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (+ (* -3 (+ 1/2 (* 1/4 b))) (* 5/3 (- (* 1/2 b) (log 2))))))) (pow (- (* 1/2 b) (log 2)) 2))) (* 1/8 (/ 1 (- (* 1/2 b) (log 2))))))))))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2)))))))))) (+ (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2))))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* -1/16 (/ (* a (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))) (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (* a (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2)))))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (log 2)) 2))))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (* a (- (* -1 (* a (+ (* -1/4 (/ (* (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1/64 (/ (* (pow b 2) (* (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2))))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (+ (* -3 (+ 1/2 (* 1/4 b))) (* 5/3 (- (* 1/2 b) (log 2))))))) (pow (- (* 1/2 b) (log 2)) 2))))))) (+ (* -1/64 (/ (* (pow b 2) (pow (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2)))) 2)) (pow (- (* 1/2 b) (log 2)) 3))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 3 (- (* 1/2 b) (log 2)))))) (pow (- (* 1/2 b) (log 2)) 2)))))) (* 1/16 (/ (* (pow b 2) (+ (* -4 (+ 1/2 (* 1/4 b))) (* 4 (- (* 1/2 b) (log 2))))) (pow (- (* 1/2 b) (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 (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 (- (/ 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 (+ 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 (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (pow (log 2) 2) (- (* 1/2 b) (log 2)))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* a (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (log 2) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (+ (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2)))) (* a (- (* 1/8 (/ 1 (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (pow (- (* 1/2 b) (log 2)) 2))))))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (/ (log 2) (- (* 1/2 b) (log 2))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (log 2) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (pow (log 2) 2) (+ 1/2 (* 1/4 b))) (pow (- (* 1/2 b) (log 2)) 2))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))))
#s(approx (neg (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (log 2))))
#s(approx (neg (log (+ 1 (exp a)))) #s(hole binary64 (- (* -1/2 a) (log 2))))
#s(approx (neg (log (+ 1 (exp a)))) #s(hole binary64 (- (* a (- (* -1/8 a) 1/2)) (log 2))))
#s(approx (neg (log (+ 1 (exp a)))) #s(hole binary64 (- (* a (- (* a (- (* 1/192 (pow a 2)) 1/8)) 1/2)) (log 2))))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (* 1/2 a) #s(hole binary64 (* 1/2 a)))
#s(approx (+ 1 a) #s(hole binary64 1))
#s(approx (+ 1 a) #s(hole binary64 (+ 1 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 (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow a 2)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (pow b 2) (* (pow (+ 1 (exp a)) 2) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))))
#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 (exp a) #s(hole binary64 (exp a)))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))))
#s(approx (neg (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (log (+ 1 (exp a))))))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* a (+ 1/2 (/ (log 2) a)))))
#s(approx (+ 1 a) #s(hole binary64 a))
#s(approx (+ 1 a) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* 1/8 (pow a 2))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* 1/8 a)))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* a (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* -1/192 (pow a 4))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1/192 (pow a 3))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow a 2))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) #s(hole binary64 (- (/ b (+ 1 (exp a))) (* -1 (log (+ 1 (exp a)))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (/ (pow b 2) (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* (pow b 2) (- (* -1 (/ b (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)))) (/ 1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* (pow b 2) (- (* b (- (* -1 (/ b (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 4)))) (/ 1 (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3))))) (/ 1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* (pow b 2) (- (* b (- (* b (- (* -1 (/ b (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 5)))) (/ 1 (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 4))))) (/ 1 (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3))))) (/ 1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))
#s(approx b #s(hole binary64 b))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (log (+ 1 (exp a))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (log (+ 1 (exp a))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a)))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1 (/ b (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (- (* -1 (/ b (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)))) (/ 1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) #s(hole binary64 (* b (- (+ (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (pow b 2))) (/ 1 (+ 1 (exp a)))) (* -1 (/ (log (+ 1 (exp a))) b))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* b (- (+ (/ 1 (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))) (* -1 (/ (log (+ 1 (exp a))) b))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* b (- (+ (/ 1 (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) (pow b 3))) (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))))))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (+ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b)) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (- (+ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3)) (pow b 2))) (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b))) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (/ (- (+ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (/ (* (pow (log (+ 1 (exp a))) 5) (pow (+ 1 (exp a)) 4)) (pow b 3))) (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b)) (* -1 (/ (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3)) (pow b 2))))) b)))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (pow (/ b (- (exp a) -1)) 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 (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b)) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) 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))))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) b))) b))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* -1 (/ (+ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2)) (/ (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3)) b)) b))) b))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3))) (* -1 (/ (* (pow (log (+ 1 (exp a))) 5) (pow (+ 1 (exp a)) 4)) b))) b)) (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2))) b))) b))))
Outputs
#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)))) #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (log1p.f64 (exp.f64 a))))))
(/.f64 (-.f64 (pow.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)))) #s(literal 2 binary64)) (pow.f64 #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (log1p.f64 (exp.f64 a)))) #s(literal 2 binary64))) (+.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)))) #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (log1p.f64 (exp.f64 a))))))
(/.f64 (-.f64 (pow.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)))) #s(literal 3 binary64)) (pow.f64 #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (log1p.f64 (exp.f64 a)))) #s(literal 3 binary64))) (+.f64 (pow.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)))) #s(literal 2 binary64)) (+.f64 (pow.f64 #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (log1p.f64 (exp.f64 a)))) #s(literal 2 binary64)) (*.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)))) #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (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)))) #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (-.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)) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(*.f64 (fabs.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (fabs.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(*.f64 (exp.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (exp.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
(*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(pow.f64 (exp.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 b) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 1 binary64)))
b
(/.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 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
#s(literal -1 binary64)
#s(literal 2 binary64)
(/.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)) (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 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
(*.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 a)))
(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)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (log1p.f64 (exp.f64 a))))
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 a)))
(neg.f64 (log1p.f64 (exp.f64 a)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 a)))
(log.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 a #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))))
(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 #s(literal 1 binary64) a))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 1 binary64) a))))
(+.f64 #s(literal 1 binary64) a)
(+.f64 a #s(literal 1 binary64))
#s(literal 1 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))))
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#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) a) (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) a) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))) b) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -1/64 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) #s(literal -4 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))))) (*.f64 b b)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/16 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))) (*.f64 b b)) (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))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))) b) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -1/64 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) #s(literal -4 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))))) (*.f64 b b)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/16 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) #s(literal -4 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))))) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -1/64 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) #s(literal -4 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal 5/3 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))))) (*.f64 b b)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/16 binary64)))) a)) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))) b) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -1/64 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) #s(literal -4 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))))) (*.f64 b b)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/16 binary64)))) a (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))) (*.f64 b b)) (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))))))
#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 #s(literal -1/4 binary64) (*.f64 b b))) 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 #s(literal -1/4 binary64) (*.f64 b b))) 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 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 (- (/ 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 (+ 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 (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.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 (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (-.f64 (/.f64 (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)) (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 (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 (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64) (/.f64 #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 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (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)) (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 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 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 (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)) (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 (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 (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (/.f64 (-.f64 (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64) (/.f64 #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 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (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)) (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 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 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)))) (neg.f64 (*.f64 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 binary64)) (/.f64 (-.f64 (/.f64 (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)) (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)) (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (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)) (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 (fma.f64 b #s(literal 0 binary64) #s(literal 1/8 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 (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)) (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 (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 (neg (log (+ 1 (exp a)))) (log.f64 #s(literal 1/2 binary64)))
#s(approx (neg (log (+ 1 (exp a)))) (-.f64 (*.f64 #s(literal -1/2 binary64) a) (log.f64 #s(literal 2 binary64))))
#s(approx (neg (log (+ 1 (exp a)))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) a) #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))
#s(approx (neg (log (+ 1 (exp a)))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64)) a) #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* 1/2 a) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* 1/2 a) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (* 1/2 a) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (+ 1 a) #s(literal 1 binary64))
#s(approx (+ 1 a) (+.f64 #s(literal 1 binary64) a))
#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 (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 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) -1/192) 1/8) a) 1/2) a) (log 2)) (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 (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64))
#s(approx (+ (* (* a a) -1/192) 1/8) (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)))
#s(approx (* a a) (*.f64 a a))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (-.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (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))))))
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#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 (- (/ 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))) (log1p.f64 (exp.f64 a)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.f64 (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 (neg (log (+ 1 (exp a)))) (neg.f64 (log1p.f64 (exp.f64 a))))
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a))
#s(approx (+ 1 a) a)
#s(approx (+ 1 a) (fma.f64 #s(literal 1 binary64) a #s(literal 1 binary64)))
#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 (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/192 binary64)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/192 binary64)))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64))))
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#s(approx (+ (* (* a a) -1/192) 1/8) (*.f64 (*.f64 a a) #s(literal -1/192 binary64)))
#s(approx (+ (* (* a a) -1/192) 1/8) (*.f64 (-.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)) (*.f64 a a)))
#s(approx (+ (* 1/2 a) (log 2)) (neg.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) 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 (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) (pow.f64 a #s(literal 3 binary64))))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/192 binary64) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64))) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)) #s(literal -1 binary64) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (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 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 a))))))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 b (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 a))) #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 b (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)))) b) (pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 a))) #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 b (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 5 binary64)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -4 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal -3 binary64)))) b) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)))) b) (pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 a))) #s(literal -1 binary64))) (*.f64 b b)))
#s(approx b b)
#s(approx (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (log1p.f64 (exp.f64 a))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (log1p.f64 (exp.f64 a))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (log1p.f64 (exp.f64 a)) #s(literal -1 binary64) (neg.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (-.f64 (neg.f64 (/.f64 b (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 a))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a)))))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 b (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 a))) #s(literal -1 binary64))) b) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a)))))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 b b)) #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b))) b))
#s(approx (/ (pow (/ b (- (exp a) -1)) 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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b)) b))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b 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 (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b)))) b))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 5 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) (*.f64 b b)))))) b))
#s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (/ (pow (/ b (- (exp a) -1)) 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 (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (log1p.f64 (exp.f64 a))) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)))
#s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b) #s(literal -1 binary64) (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)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) b) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b))) b)))
#s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 5 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)) b)))) b))) b))) b)))

eval56.0ms (0.5%)

Memory
-35.3MiB live, 110.7MiB allocated; 16ms collecting garbage
Compiler

Compiled 18 255 to 1 788 computations (90.2% saved)

prune23.0ms (0.2%)

Memory
7.4MiB live, 54.2MiB allocated; 2ms collecting garbage
Pruning

20 alts after pruning (10 fresh and 10 done)

PrunedKeptTotal
New3522354
Fresh189
Picked145
Done066
Total35420374
Accuracy
99.8%
Counts
374 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
#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)))) #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (log1p.f64 (exp.f64 a)) #s(literal -1 binary64) (neg.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))))
51.0%
#s(approx (log (+ (exp a) (exp b))) (-.f64 #s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp 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))))) #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (log1p.f64 (exp.f64 a))))))
✓49.7%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓50.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
49.1%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
48.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓47.6%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
✓47.0%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓48.3%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
52.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a)))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
49.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
49.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
✓49.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
9.4%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
5.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))))
✓48.7%
#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)))))
✓48.7%
#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)))))
✓48.3%
#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)))))
3.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
✓2.6%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
Compiler

Compiled 1 333 to 540 computations (59.5% saved)

regimes46.0ms (0.4%)

Memory
29.0MiB live, 78.6MiB allocated; 7ms collecting garbage
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 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 b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#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 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
#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))) (-.f64 #s(approx (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp 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))))) #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (log1p.f64 (exp.f64 a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (- (/ (pow (/ b (- (exp a) -1)) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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)) (-.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 (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)))) #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (neg.f64 (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)))) #s(approx (/ (pow (log (+ 1 (exp a))) 2) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (fma.f64 (log1p.f64 (exp.f64 a)) #s(literal -1 binary64) (neg.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (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))))))
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:

9.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms
b
8.0ms
a
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.7%1(exp.f64 b)
98.7%1(exp.f64 a)
98.7%1(+.f64 (exp.f64 a) (exp.f64 b))
98.7%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.7%1a
98.7%1b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes37.0ms (0.4%)

Memory
4.7MiB live, 51.0MiB allocated; 2ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 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 b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#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 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
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:

9.0ms
b
7.0ms
a
5.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
53.4%1(exp.f64 b)
99.6%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)))
99.6%2a
64.2%2b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes14.0ms (0.1%)

Memory
-28.0MiB live, 17.6MiB allocated; 3ms collecting garbage
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 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 b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#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 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
Calls

2 calls:

8.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.0%2(exp.f64 a)
99.0%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes12.0ms (0.1%)

Memory
22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 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 b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#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 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
Calls

2 calls:

6.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.9%2a
98.9%2(exp.f64 a)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes14.0ms (0.1%)

Memory
-25.3MiB live, 20.2MiB allocated; 3ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 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 b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#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 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
Calls

2 calls:

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

Compiled 3 to 5 computations (-66.7% saved)

regimes20.0ms (0.2%)

Memory
32.1MiB live, 32.1MiB allocated; 0ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 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 b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#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 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
Calls

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)))
98.2%2(exp.f64 a)
98.2%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes47.0ms (0.5%)

Memory
-38.4MiB live, 16.2MiB allocated; 17ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 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 b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#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:

41.0ms
(exp.f64 a)
5.0ms
a
Results
AccuracySegmentsBranch
98.2%2(exp.f64 a)
98.2%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes9.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 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 b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (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) (- (/ b (- (exp a) -1)) (log (+ 1 (exp a))))) (/ (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
Calls

2 calls:

5.0ms
a
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.0%2(exp.f64 a)
98.0%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes21.0ms (0.2%)

Memory
27.2MiB live, 27.2MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 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 b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b 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
b
4.0ms
a
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
49.2%1(exp.f64 b)
49.2%1b
54.4%2(+.f64 (exp.f64 a) (exp.f64 b))
54.4%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
54.5%2a
54.5%2(exp.f64 a)
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes22.0ms (0.2%)

Memory
-26.5MiB live, 20.3MiB allocated; 2ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 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 b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ 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 (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
Calls

4 calls:

12.0ms
(exp.f64 a)
4.0ms
a
2.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
53.8%2(+.f64 (exp.f64 a) (exp.f64 b))
53.8%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
53.9%2a
53.9%2(exp.f64 a)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes5.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 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 b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
Calls

2 calls:

3.0ms
a
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
53.9%2a
53.9%2(exp.f64 a)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes8.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 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 b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 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))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
53.1%2(+.f64 (exp.f64 a) (exp.f64 b))
53.1%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
53.2%2a
53.2%2(exp.f64 a)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes14.0ms (0.1%)

Memory
-21.8MiB live, 22.8MiB allocated; 4ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 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 b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
Calls

6 calls:

5.0ms
a
2.0ms
b
1.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
9.4%1(exp.f64 b)
9.4%1b
9.4%1(+.f64 (exp.f64 a) (exp.f64 b))
9.4%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
9.4%1a
9.4%1(exp.f64 a)
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes10.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 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 b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64)))))
Calls

6 calls:

2.0ms
a
2.0ms
(exp.f64 a)
2.0ms
b
1.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
5.2%1a
5.2%1(exp.f64 a)
5.2%1b
5.2%1(+.f64 (exp.f64 a) (exp.f64 b))
5.2%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.2%1(exp.f64 b)
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes10.0ms (0.1%)

Memory
-26.5MiB live, 19.5MiB allocated; 3ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 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)))))
Outputs
#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)))))
Calls

6 calls:

3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
b
1.0ms
a
1.0ms
(exp.f64 a)
1.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
3.2%1a
3.2%1(exp.f64 b)
3.2%1(exp.f64 a)
3.2%1(+.f64 (exp.f64 a) (exp.f64 b))
3.2%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.2%1b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes6.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
b
1.0ms
a
1.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
2.6%1a
2.6%1b
2.6%1(+.f64 (exp.f64 a) (exp.f64 b))
2.6%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.6%1(exp.f64 a)
2.6%1(exp.f64 b)
Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch29.0ms (0.3%)

Memory
-3.9MiB live, 45.1MiB allocated; 8ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
-468.1592867366632
-0.007660213271902457
Samples
21.0ms110×1valid
1.0ms18×0valid
Compiler

Compiled 265 to 227 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
adjust: 7.0ms (39.6% of total)
ival-exp: 5.0ms (28.3% of total)
ival-log: 4.0ms (22.6% of total)
ival-add: 1.0ms (5.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.7973910270921004e-204
0.9923690513895909
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.7973910270921004e-204
0.9923690513895909
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-468.1592867366632
-0.007660213271902457
Compiler

Compiled 297 to 251 computations (15.5% saved)

bsearch23.0ms (0.2%)

Memory
-13.1MiB live, 32.8MiB allocated; 4ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
-468.1592867366632
-0.007660213271902457
Samples
15.0ms72×1valid
3.0ms8×2valid
Compiler

Compiled 297 to 251 computations (15.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-log: 6.0ms (39.6% of total)
adjust: 4.0ms (26.4% of total)
ival-exp: 4.0ms (26.4% of total)
ival-add: 1.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-468.1592867366632
-0.007660213271902457
Samples
6.0ms96×0valid
Compiler

Compiled 425 to 339 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (57.8% of total)
ival-log: 1.0ms (28.9% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.7973910270921004e-204
0.9923690513895909
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.7973910270921004e-204
0.9923690513895909
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.7973910270921004e-204
0.9923690513895909
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.7973910270921004e-204
0.9923690513895909
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.7973910270921004e-204
0.9923690513895909
Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify63.0ms (0.6%)

Memory
-2.0MiB live, 88.0MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119665
1145665
2222665
3466665
41449665
57734665
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 -36 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 (exp.f64 a) #s(literal 441252181048159/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 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 (exp.f64 a) #s(literal 441252181048159/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -36 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 -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 (exp.f64 a) #s(literal 441252181048159/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 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 (exp.f64 a) #s(literal 441252181048159/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b 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 (exp.f64 a) #s(literal 441252181048159/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b 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 (exp.f64 a) #s(literal 441252181048159/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 (exp.f64 a) #s(literal 441252181048159/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #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 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) 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))))
(if (<=.f64 a #s(literal -36 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 (exp.f64 a) #s(literal 441252181048159/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 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 (exp.f64 a) #s(literal 441252181048159/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -36 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 -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 (exp.f64 a) #s(literal 441252181048159/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 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 (exp.f64 a) #s(literal 441252181048159/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b 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 (exp.f64 a) #s(literal 441252181048159/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b 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 (exp.f64 a) #s(literal 441252181048159/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 (exp.f64 a) #s(literal 441252181048159/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #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 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

derivations550.0ms (5.4%)

Memory
-18.3MiB live, 457.7MiB allocated; 139ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 665 to 124 computations (81.4% saved)

preprocess87.0ms (0.8%)

Memory
44.8MiB live, 135.1MiB allocated; 9ms collecting garbage
Compiler

Compiled 1 414 to 310 computations (78.1% saved)

end0.0ms (0%)

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

Profiling

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