symmetry log of sum of exp

Time bar (total: 9.2s)

start0.0ms (0%)

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

analyze155.0ms (1.7%)

Memory
-3.1MiB live, 212.8MiB allocated; 74ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
50%50%50%0.1%0%0%0%5
50%50%50%0.1%0%0%0%6
50%50%50%0.1%0%0%0%7
50%50%50%0.1%0%0%0%8
50%50%50%0.1%0%0%0%9
50%50%50%0.1%0%0%0%10
50%50%50%0.1%0%0%0%11
50%50%50%0.1%0%0%0%12
Compiler

Compiled 8 to 8 computations (0% saved)

sample5.8s (62.9%)

Memory
153.8MiB live, 5 388.9MiB allocated; 2.0s collecting garbage
Samples
2.7s7 736×5exit
1.0s1 601×2valid
561.0ms2 418×1valid
330.0ms4 237×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.7s
ival-log: 1.5s (41.1% of total)
adjust: 919.0ms (24.8% of total)
ival-exp: 904.0ms (24.4% of total)
ival-add: 339.0ms (9.1% of total)
ival-true: 16.0ms (0.4% of total)
ival-assert: 8.0ms (0.2% of total)
Bogosity

explain170.0ms (1.8%)

Memory
17.2MiB live, 163.3MiB allocated; 21ms 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)))sensitivity1250
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))oflow-rescue20
(+.f64 (exp.f64 a) (exp.f64 b))overflow2
(exp.f64 a)overflow2
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))uflow-rescue10
(+.f64 (exp.f64 a) (exp.f64 b))underflow1
(exp.f64 a)underflow65
(exp.f64 b)underflow66
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
46.0ms94×2valid
42.0ms150×1valid
18.0ms268×0valid
Compiler

Compiled 44 to 22 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-log: 37.0ms (50.8% of total)
ival-exp: 24.0ms (32.9% of total)
adjust: 7.0ms (9.6% of total)
ival-add: 4.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess189.0ms (2%)

Memory
-28.3MiB live, 209.8MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01636
13636
29336
335736
4177736
5698036
066
0106
1176
2406
31126
45156
551796
083046
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
Symmetry

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 6 to 6 computations (0% saved)

series100.0ms (1.1%)

Memory
3.4MiB live, 144.9MiB allocated; 16ms 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
45.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
22.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
17.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
14.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
1.0ms
a
@0
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)

simplify186.0ms (2%)

Memory
13.2MiB live, 186.5MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129524
1347524
21264520
35624520
08749474
Stop Event
iter limit
node limit
Counts
30 → 30
Calls
Call 1
Inputs
#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
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 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))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 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))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (log1p.f64 (exp.f64 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 (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (log1p.f64 (exp.f64 b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#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)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#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(hole binary64 1))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 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) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#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 #s(hole binary64 a))
#s(approx a a)
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 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))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp 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))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b (log1p.f64 (exp.f64 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 (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b (log1p.f64 (exp.f64 a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 a) b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#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)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#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(hole binary64 1))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 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) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#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 #s(hole binary64 b))
#s(approx b b)
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (exp b) (exp.f64 b))

rewrite148.0ms (1.6%)

Memory
32.9MiB live, 129.3MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
13017
222517
3292317
0858017
Stop Event
iter limit
node limit
iter limit
Counts
6 → 280
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
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))) (log.f64 (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))))
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (*.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 b) (neg.f64 a)))))
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))) (*.f64 (exp.f64 (neg.f64 b)) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))))) (log.f64 (*.f64 (exp.f64 (neg.f64 b)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))))))
(-.f64 (log.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (exp.f64 (neg.f64 a))) (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) #s(literal 1 binary64)))) (log.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) (exp.f64 (neg.f64 a)))))
(-.f64 (log.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))) (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))))) (log.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 a) (cosh.f64 b)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 b) #s(literal 2 binary64)))) (log.f64 (+.f64 (-.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b))))
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(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (pow.f64 (-.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (-.f64 (sinh.f64 a) (exp.f64 b)))))))
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))))
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))) (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))))) (log.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))))
(-.f64 (log.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (exp.f64 (neg.f64 b))) (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) #s(literal 1 binary64)))) (log.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (exp.f64 (neg.f64 b)))))
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(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))))
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(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (pow.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 2 binary64)))) (log.f64 (-.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) (exp.f64 b)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (*.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) (sinh.f64 b))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))))))
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(*.f64 (pow.f64 (exp.f64 a) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (*.f64 (sinh.f64 (neg.f64 b)) (sinh.f64 b))))
(pow.f64 (pow.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 b)))
(pow.f64 (pow.f64 (exp.f64 a) (exp.f64 a)) (exp.f64 (neg.f64 a)))
(pow.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 a) #s(literal 1 binary64))
(/.f64 (fabs.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))))) (fabs.f64 (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))))))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 a) (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) #s(literal 4 binary64))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (exp.f64 a))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (exp.f64 a))) (sqrt.f64 (exp.f64 (neg.f64 a))))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 a) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 a) #s(literal 1 binary64))) (sqrt.f64 (exp.f64 (neg.f64 a))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 a) (exp.f64 a)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) (*.f64 (sinh.f64 a) (exp.f64 a)))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sinh.f64 a) (exp.f64 a)) #s(literal 3/2 binary64))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 a) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) (*.f64 (sinh.f64 a) (exp.f64 a)))))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))))) (sqrt.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (exp.f64 (neg.f64 a)))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))))))
(/.f64 (pow.f64 (exp.f64 a) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (pow.f64 (sinh.f64 a) #s(literal 2 binary64))))
(/.f64 (pow.f64 (exp.f64 a) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (pow.f64 (sinh.f64 b) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (-.f64 (sinh.f64 a) (cosh.f64 a)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 a) (*.f64 #s(literal 2 binary64) (cosh.f64 a))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 a))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 a) (sinh.f64 a) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (sinh.f64 a) (cosh.f64 a))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (fma.f64 (sinh.f64 a) (sinh.f64 a) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))))
(sqrt.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a))) (/.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a))))
(-.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a)))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a))) (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a)))))
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 a))))
(fabs.f64 (neg.f64 (exp.f64 a)))
(fabs.f64 (exp.f64 a))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))
(exp.f64 (*.f64 a #s(literal 1 binary64)))
(exp.f64 a)
(+.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))) (/.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))
(+.f64 (sinh.f64 a) (cosh.f64 a))
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (exp.f64 b)))) (sqrt.f64 (neg.f64 (neg.f64 (exp.f64 b)))))
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 b))) (sqrt.f64 (neg.f64 (exp.f64 b))))
(*.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)))
(*.f64 (pow.f64 (exp.f64 b) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a))))
(*.f64 (pow.f64 (exp.f64 b) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) (*.f64 (sinh.f64 (neg.f64 b)) (sinh.f64 b))))
(pow.f64 (pow.f64 (exp.f64 b) (exp.f64 b)) (exp.f64 (neg.f64 b)))
(pow.f64 (pow.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (neg.f64 a)))
(pow.f64 (neg.f64 (exp.f64 b)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))
(/.f64 (fabs.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (fabs.f64 (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 b) (*.f64 #s(literal 2 binary64) (cosh.f64 b)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 b))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 b))))) #s(literal 4 binary64))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (exp.f64 b))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (exp.f64 b))) (sqrt.f64 (exp.f64 (neg.f64 b))))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 b) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 b) #s(literal 1 binary64))) (sqrt.f64 (exp.f64 (neg.f64 b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) (*.f64 (sinh.f64 b) (exp.f64 b)))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 3/2 binary64))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) (*.f64 (sinh.f64 b) (exp.f64 b)))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) (exp.f64 (neg.f64 b)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (sqrt.f64 (*.f64 (exp.f64 (neg.f64 b)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))))
(/.f64 (pow.f64 (exp.f64 b) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) (pow.f64 (sinh.f64 a) #s(literal 2 binary64))))
(/.f64 (pow.f64 (exp.f64 b) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) (pow.f64 (sinh.f64 b) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))) (-.f64 (sinh.f64 b) (cosh.f64 b)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 b) (*.f64 #s(literal 2 binary64) (cosh.f64 b))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 b)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 b) (sinh.f64 b) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (sinh.f64 b) (cosh.f64 b))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (fma.f64 (sinh.f64 b) (sinh.f64 b) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))
(sqrt.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))))
(-.f64 (cosh.f64 b) (sinh.f64 (neg.f64 b)))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))) (/.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b)))))
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 b))))
(fabs.f64 (neg.f64 (exp.f64 b)))
(fabs.f64 (exp.f64 b))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) #s(literal 2 binary64)))
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(exp.f64 b)
(+.f64 (/.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))
(+.f64 (sinh.f64 b) (cosh.f64 b))
(+.f64 (cosh.f64 b) (sinh.f64 b))
b

eval35.0ms (0.4%)

Memory
4.0MiB live, 50.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 7 788 to 1 236 computations (84.1% saved)

prune12.0ms (0.1%)

Memory
-24.1MiB live, 22.2MiB allocated; 3ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3019310
Fresh000
Picked011
Done000
Total30110311
Accuracy
99.4%
Counts
311 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.3%
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))))
48.3%
(log.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))))
54.7%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
52.8%
(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)))))
52.5%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
52.2%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
49.5%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
99.0%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
49.5%
#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 252 to 204 computations (19% saved)

series240.0ms (2.6%)

Memory
42.1MiB live, 224.1MiB allocated; 68ms collecting garbage
Counts
31 → 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)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 b)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) 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)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
(log.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 b))
(neg.f64 b)
(*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(exp.f64 (neg.f64 a))
(neg.f64 a)
(exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))
(+.f64 (neg.f64 a) (neg.f64 b))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (- (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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg b))) (exp (neg b))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* -1 (/ (* a (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (+ 1 (exp (neg b))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* 1/2 (* a (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2)))))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* a (+ (* 1/6 (* a (+ (* -6 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ (* -1/6 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/6 (/ 1 (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))))))) (+ 1 (exp (neg b))))) (+ (* -6 (/ (* (pow (exp (neg b)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (pow (+ 1 (exp (neg b))) 2))) (* -2 (/ (* (pow (exp (neg b)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 3)) (pow (+ 1 (exp (neg b))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2))))))))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ 1 (exp (neg b))) (exp (neg b)))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* -1 (* a (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b)))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* a (- (* -1 (* a (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b)))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ (* -1/6 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/6 (/ 1 (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b)))))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (exp (neg b)))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* -1 a)))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* 1/2 a) 1))))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* a (+ 1/2 (* -1/6 a))) 1))))))
#s(approx (* (exp (neg a)) 1) #s(hole binary64 1))
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (+ 1 (* -1 a))))
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1)))))
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (exp (neg a)) #s(hole binary64 1))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* -1 a))))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1)))))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (exp (neg b))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (+ (exp (neg b)) (* -1 (* a (exp (neg b)))))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (+ (exp (neg b)) (* a (+ (* -1 (exp (neg b))) (* 1/2 (* a (exp (neg b)))))))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (+ (exp (neg b)) (* a (+ (* -1 (exp (neg b))) (* a (+ (* -1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))))))))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (- (* -1 a) b)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (neg b))) (exp (neg (+ a b)))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ (exp (neg a)) (exp (neg b))) (exp (neg (+ a b))))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg a)) (exp (neg b)))))
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (exp (neg a))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg a))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (exp (neg (+ a b)))))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* a (- (* -1 (/ b a)) 1))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg b)) (exp (* -1 a))) (exp (- (* -1 a) b))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ (exp (neg b)) (exp (* -1 a))) (exp (- (* -1 a) b)))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg b)) (exp (* -1 a)))))
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (exp (* -1 a))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (* -1 a))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (exp (- (* -1 a) b))))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg a))) (exp (neg a))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* -1 (/ (* b (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (+ 1 (exp (neg a))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* 1/2 (* b (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2)))))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ (* -1/6 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/6 (/ 1 (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))))) (+ 1 (exp (neg a))))) (+ (* -6 (/ (* (pow (exp (neg a)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (pow (+ 1 (exp (neg a))) 2))) (* -2 (/ (* (pow (exp (neg a)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 3)) (pow (+ 1 (exp (neg a))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2))))))))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ 1 (exp (neg a))) (exp (neg a)))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* -1 (* b (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (/ 1 (exp (neg a)))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* b (- (* -1 (* b (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (/ 1 (exp (neg a)))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ (* -1/6 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/6 (/ 1 (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (/ 1 (exp (neg a)))))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (exp (neg a)))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* -1 b)))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* 1/2 b) 1))))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* b (+ 1/2 (* -1/6 b))) 1))))))
#s(approx (exp (neg b)) #s(hole binary64 1))
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* -1 b))))
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* 1/2 b) 1)))))
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* b (+ 1/2 (* -1/6 b))) 1)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (exp (neg a))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (+ (exp (neg a)) (* -1 (* b (exp (neg a)))))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (+ (exp (neg a)) (* b (+ (* -1 (exp (neg a))) (* 1/2 (* b (exp (neg a)))))))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (+ (exp (neg a)) (* b (+ (* -1 (exp (neg a))) (* b (+ (* -1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))))))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (- (* -1 b) a)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (exp (neg b)) #s(hole binary64 (exp (neg b))))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a)))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg a)) (exp (* -1 b)))))
#s(approx (exp (neg b)) #s(hole binary64 (exp (* -1 b))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (exp (- (* -1 b) a))))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
Calls

6 calls:

TimeVariablePointExpression
73.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (neg b)) (neg b) (* (exp (neg a)) 1) (exp (neg a)) (neg a) (exp (+ (neg a) (neg b))) (+ (neg a) (neg b)))
68.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (neg b)) (neg b) (* (exp (neg a)) 1) (exp (neg a)) (neg a) (exp (+ (neg a) (neg b))) (+ (neg a) (neg b)))
41.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (neg b)) (neg b) (* (exp (neg a)) 1) (exp (neg a)) (neg a) (exp (+ (neg a) (neg b))) (+ (neg a) (neg b)))
27.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (neg b)) (neg b) (* (exp (neg a)) 1) (exp (neg a)) (neg a) (exp (+ (neg a) (neg b))) (+ (neg a) (neg b)))
21.0ms
a
@0
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (neg b)) (neg b) (* (exp (neg a)) 1) (exp (neg a)) (neg a) (exp (+ (neg a) (neg b))) (+ (neg a) (neg b)))

simplify141.0ms (1.5%)

Memory
4.8MiB live, 140.3MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05973369
117842778
086002549
Stop Event
iter limit
node limit
Counts
136 → 136
Calls
Call 1
Inputs
#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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg b))) (exp (neg b))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* -1 (/ (* a (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (+ 1 (exp (neg b))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* 1/2 (* a (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2)))))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* a (+ (* 1/6 (* a (+ (* -6 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ (* -1/6 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/6 (/ 1 (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))))))) (+ 1 (exp (neg b))))) (+ (* -6 (/ (* (pow (exp (neg b)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (pow (+ 1 (exp (neg b))) 2))) (* -2 (/ (* (pow (exp (neg b)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 3)) (pow (+ 1 (exp (neg b))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2))))))))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ 1 (exp (neg b))) (exp (neg b)))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* -1 (* a (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b)))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* a (- (* -1 (* a (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b)))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ (* -1/6 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/6 (/ 1 (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b)))))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (exp (neg b)))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* -1 a)))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* 1/2 a) 1))))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* a (+ 1/2 (* -1/6 a))) 1))))))
#s(approx (* (exp (neg a)) 1) #s(hole binary64 1))
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (+ 1 (* -1 a))))
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1)))))
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (exp (neg a)) #s(hole binary64 1))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* -1 a))))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1)))))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (exp (neg b))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (+ (exp (neg b)) (* -1 (* a (exp (neg b)))))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (+ (exp (neg b)) (* a (+ (* -1 (exp (neg b))) (* 1/2 (* a (exp (neg b)))))))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (+ (exp (neg b)) (* a (+ (* -1 (exp (neg b))) (* a (+ (* -1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))))))))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (- (* -1 a) b)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (neg b))) (exp (neg (+ a b)))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ (exp (neg a)) (exp (neg b))) (exp (neg (+ a b))))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg a)) (exp (neg b)))))
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (exp (neg a))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg a))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (exp (neg (+ a b)))))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* a (- (* -1 (/ b a)) 1))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg b)) (exp (* -1 a))) (exp (- (* -1 a) b))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ (exp (neg b)) (exp (* -1 a))) (exp (- (* -1 a) b)))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg b)) (exp (* -1 a)))))
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (exp (* -1 a))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (* -1 a))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (exp (- (* -1 a) b))))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg a))) (exp (neg a))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* -1 (/ (* b (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (+ 1 (exp (neg a))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* 1/2 (* b (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2)))))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ (* -1/6 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/6 (/ 1 (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))))) (+ 1 (exp (neg a))))) (+ (* -6 (/ (* (pow (exp (neg a)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (pow (+ 1 (exp (neg a))) 2))) (* -2 (/ (* (pow (exp (neg a)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 3)) (pow (+ 1 (exp (neg a))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2))))))))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ 1 (exp (neg a))) (exp (neg a)))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* -1 (* b (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (/ 1 (exp (neg a)))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* b (- (* -1 (* b (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (/ 1 (exp (neg a)))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ (* -1/6 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/6 (/ 1 (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (/ 1 (exp (neg a)))))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (exp (neg a)))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* -1 b)))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* 1/2 b) 1))))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* b (+ 1/2 (* -1/6 b))) 1))))))
#s(approx (exp (neg b)) #s(hole binary64 1))
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* -1 b))))
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* 1/2 b) 1)))))
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* b (+ 1/2 (* -1/6 b))) 1)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (exp (neg a))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (+ (exp (neg a)) (* -1 (* b (exp (neg a)))))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (+ (exp (neg a)) (* b (+ (* -1 (exp (neg a))) (* 1/2 (* b (exp (neg a)))))))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (+ (exp (neg a)) (* b (+ (* -1 (exp (neg a))) (* b (+ (* -1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))))))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (- (* -1 b) a)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (exp (neg b)) #s(hole binary64 (exp (neg b))))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a)))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg a)) (exp (* -1 b)))))
#s(approx (exp (neg b)) #s(hole binary64 (exp (* -1 b))))
#s(approx (exp (+ (neg a) (neg b))) #s(hole binary64 (exp (- (* -1 b) a))))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (+.f64 (/.f64 a (+.f64 (exp.f64 b) #s(literal 1 binary64))) (log1p.f64 (exp.f64 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 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 (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 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)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#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)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) 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)))) #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)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) 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)))) #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)) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) a)) a #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))
#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)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 0 binary64) a)) a (*.f64 #s(literal 1/2 binary64) 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 (/ b (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64))) #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(hole binary64 2))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) (-.f64 a #s(literal -2 binary64)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 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) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#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(hole binary64 1))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 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) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#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 #s(hole binary64 a))
#s(approx a a)
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#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))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#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))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#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)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg b))) (exp (neg b))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* -1 (/ (* a (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (+ 1 (exp (neg b))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)) (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a (log1p.f64 (exp.f64 b))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* 1/2 (* a (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2)))))))))))
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rewrite84.0ms (0.9%)

Memory
-36.1MiB live, 55.7MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035197
062182
1229181
01818181
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
31 → 317
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
a
#s(literal -1 binary64)
(log1p.f64 (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
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#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 b)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) 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)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
(log.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 b))
(neg.f64 b)
(*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(exp.f64 (neg.f64 a))
(neg.f64 a)
(exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))
(+.f64 (neg.f64 a) (neg.f64 b))
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 2 binary64)) (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 (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)))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (pow.f64 (/.f64 b (-.f64 (exp.f64 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 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 (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 (+.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))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))
(fma.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 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)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (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 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (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 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
(*.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (+.f64 #s(literal -1 binary64) (exp.f64 a)))
(*.f64 (/.f64 b (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(/.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)))
(neg.f64 (/.f64 (neg.f64 b) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(neg.f64 (/.f64 b (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
b
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 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) (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal 1 binary64))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(+.f64 (cosh.f64 a) (-.f64 (sinh.f64 a) #s(literal -1 binary64)))
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 a)))
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (exp.f64 (neg.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 (sinh.f64 a) (cosh.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 (exp.f64 a) (expm1.f64 a))))
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))))
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(log.f64 (+.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))))
(+.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (cosh.f64 b)) (sinh.f64 b))
(+.f64 (/.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) #s(approx (exp a) #s(literal 1 binary64))))
(+.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64)))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 b) (sinh.f64 b))) (exp.f64 (neg.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 (sinh.f64 b) (cosh.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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)))) (log.f64 (-.f64 (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))))))
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (fma.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (-.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (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))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (-.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (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)))))
(/.f64 (+.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (-.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (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))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (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))))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
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(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 b)) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 b))) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 b))) (exp.f64 (neg.f64 a)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)) (exp.f64 (neg.f64 b)))
(-.f64 (+.f64 (exp.f64 (neg.f64 b)) (cosh.f64 a)) (sinh.f64 a))
(-.f64 (+.f64 (exp.f64 (neg.f64 a)) (cosh.f64 b)) (sinh.f64 b))
(-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))))
(-.f64 (cosh.f64 a) (-.f64 (sinh.f64 a) (exp.f64 (neg.f64 b))))
(-.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) (/.f64 #s(literal -1 binary64) (exp.f64 a))))
(-.f64 (cosh.f64 b) (-.f64 (sinh.f64 b) (exp.f64 (neg.f64 a))))
(-.f64 (exp.f64 (neg.f64 b)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(-.f64 (exp.f64 (neg.f64 a)) (*.f64 (neg.f64 (exp.f64 (neg.f64 b))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (neg.f64 a)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 b))))
(+.f64 (+.f64 (exp.f64 (neg.f64 b)) (cosh.f64 a)) (sinh.f64 (neg.f64 a)))
(+.f64 (+.f64 (exp.f64 (neg.f64 a)) (cosh.f64 b)) (sinh.f64 (neg.f64 b)))
(+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))) (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))) (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))))
(+.f64 (cosh.f64 b) (-.f64 (sinh.f64 (neg.f64 b)) (/.f64 #s(literal -1 binary64) (exp.f64 a))))
(+.f64 (cosh.f64 b) (+.f64 (sinh.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))))
(+.f64 (exp.f64 (neg.f64 b)) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)))
(+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))
(+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))
(*.f64 (*.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 b)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 b))))
(pow.f64 (exp.f64 b) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 b) (sinh.f64 b))) (exp.f64 b))
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 (neg.f64 b)) (sinh.f64 (neg.f64 b)))) (-.f64 (cosh.f64 b) (sinh.f64 (neg.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) (fma.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 (neg.f64 b)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (sinh.f64 (neg.f64 b)) (sinh.f64 (neg.f64 b))) (*.f64 (cosh.f64 b) (sinh.f64 (neg.f64 b))))))
(/.f64 #s(literal 1 binary64) (exp.f64 b))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b)))
(fma.f64 (cosh.f64 b) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 b)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 b) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 b))))
(-.f64 (cosh.f64 b) (sinh.f64 b))
(exp.f64 (-.f64 #s(literal 0 binary64) b))
(exp.f64 (+.f64 (neg.f64 b) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 b)))
(exp.f64 (neg.f64 b))
(+.f64 (*.f64 (cosh.f64 b) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 b)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 b)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 b))))
(+.f64 (cosh.f64 b) (sinh.f64 (neg.f64 b)))
(+.f64 (sinh.f64 (neg.f64 b)) (cosh.f64 b))
(neg.f64 b)
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))
(*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(pow.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (exp.f64 a))
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 (neg.f64 a)))) (-.f64 (cosh.f64 a) (sinh.f64 (neg.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) (fma.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 (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 (neg.f64 a))) (*.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a))))))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(fma.f64 (cosh.f64 a) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 a) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 a))))
(-.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 (-.f64 #s(literal 0 binary64) a))
(exp.f64 (+.f64 (neg.f64 a) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 a)))
(exp.f64 (neg.f64 a))
(+.f64 (*.f64 (cosh.f64 a) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 a)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 a)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 a))))
(+.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a)))
(+.f64 (sinh.f64 (neg.f64 a)) (cosh.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))
(*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(pow.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (exp.f64 a))
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 (neg.f64 a)))) (-.f64 (cosh.f64 a) (sinh.f64 (neg.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) (fma.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 (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 (neg.f64 a))) (*.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a))))))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(fma.f64 (cosh.f64 a) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 a) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 a))))
(-.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 (-.f64 #s(literal 0 binary64) a))
(exp.f64 (+.f64 (neg.f64 a) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 a)))
(exp.f64 (neg.f64 a))
(+.f64 (*.f64 (cosh.f64 a) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 a)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 a)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 a))))
(+.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a)))
(+.f64 (sinh.f64 (neg.f64 a)) (cosh.f64 a))
(neg.f64 a)
(*.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))
(*.f64 (exp.f64 (neg.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 b a))))
(/.f64 (-.f64 (*.f64 (cosh.f64 (+.f64 b a)) (cosh.f64 (+.f64 b a))) (*.f64 (sinh.f64 (neg.f64 (+.f64 b a))) (sinh.f64 (neg.f64 (+.f64 b a))))) (-.f64 (cosh.f64 (+.f64 b a)) (sinh.f64 (neg.f64 (+.f64 b a)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (+.f64 b a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (+.f64 b a))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 b a)) (cosh.f64 (+.f64 b a)) (-.f64 (*.f64 (sinh.f64 (neg.f64 (+.f64 b a))) (sinh.f64 (neg.f64 (+.f64 b a)))) (*.f64 (cosh.f64 (+.f64 b a)) (sinh.f64 (neg.f64 (+.f64 b a)))))))
(/.f64 (exp.f64 (neg.f64 b)) (exp.f64 a))
(/.f64 (exp.f64 (neg.f64 a)) (exp.f64 b))
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b a)))
(fma.f64 (cosh.f64 a) (exp.f64 (neg.f64 b)) (*.f64 (sinh.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))))
(fma.f64 (cosh.f64 b) (exp.f64 (neg.f64 a)) (*.f64 (sinh.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))))
(fma.f64 (exp.f64 (neg.f64 b)) (cosh.f64 a) (*.f64 (exp.f64 (neg.f64 b)) (sinh.f64 (neg.f64 a))))
(fma.f64 (exp.f64 (neg.f64 a)) (cosh.f64 b) (*.f64 (exp.f64 (neg.f64 a)) (sinh.f64 (neg.f64 b))))
(-.f64 (cosh.f64 (+.f64 b a)) (sinh.f64 (+.f64 b a)))
(exp.f64 (neg.f64 (+.f64 b a)))
(+.f64 (*.f64 (cosh.f64 a) (exp.f64 (neg.f64 b))) (*.f64 (sinh.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))))
(+.f64 (*.f64 (cosh.f64 b) (exp.f64 (neg.f64 a))) (*.f64 (sinh.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))))
(+.f64 (*.f64 (exp.f64 (neg.f64 b)) (cosh.f64 a)) (*.f64 (exp.f64 (neg.f64 b)) (sinh.f64 (neg.f64 a))))
(+.f64 (*.f64 (exp.f64 (neg.f64 a)) (cosh.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) (sinh.f64 (neg.f64 b))))
(+.f64 (sinh.f64 (neg.f64 (+.f64 b a))) (cosh.f64 (+.f64 b a)))
(+.f64 (cosh.f64 (+.f64 b a)) (sinh.f64 (neg.f64 (+.f64 b a))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (neg.f64 (fma.f64 a a (*.f64 b (neg.f64 b)))) (neg.f64 (-.f64 (neg.f64 a) (neg.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b))))))
(/.f64 (fma.f64 a a (*.f64 b (neg.f64 b))) (-.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 (neg.f64 a) (neg.f64 b)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b)))))
(neg.f64 (+.f64 b a))
(-.f64 (/.f64 (*.f64 a a) (-.f64 (neg.f64 a) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (neg.f64 a) (neg.f64 b))))
(+.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b))))) (/.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b))))))
(+.f64 (log.f64 (exp.f64 (neg.f64 a))) (log.f64 (exp.f64 (neg.f64 b))))
(+.f64 (neg.f64 a) (neg.f64 b))
(+.f64 (neg.f64 b) (neg.f64 a))
(log.f64 (exp.f64 (neg.f64 (+.f64 b a))))

eval60.0ms (0.7%)

Memory
33.9MiB live, 82.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 12 370 to 2 060 computations (83.3% saved)

prune18.0ms (0.2%)

Memory
-10.2MiB live, 36.1MiB allocated; 2ms collecting garbage
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New48313496
Fresh404
Picked415
Done011
Total49115506
Accuracy
100.0%
Counts
506 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a)))
54.7%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
48.8%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
48.7%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
49.5%
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
47.7%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (sinh.f64 a) (cosh.f64 a))))
50.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
48.6%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
46.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
48.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
48.9%
#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)))))
53.5%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
48.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
48.3%
#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)))))
47.8%
#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 504 to 393 computations (22% saved)

series112.0ms (1.2%)

Memory
19.0MiB live, 160.6MiB allocated; 10ms collecting garbage
Counts
25 → 85
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 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(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (+ (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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg b))) (exp (neg b))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* -1 (/ (* a (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (+ 1 (exp (neg b))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* 1/2 (* a (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2)))))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* a (+ (* 1/6 (* a (+ (* -6 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ (* -1/6 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/6 (/ 1 (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))))))) (+ 1 (exp (neg b))))) (+ (* -6 (/ (* (pow (exp (neg b)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (pow (+ 1 (exp (neg b))) 2))) (* -2 (/ (* (pow (exp (neg b)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 3)) (pow (+ 1 (exp (neg b))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2))))))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (neg b))) (exp (neg (+ a b)))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg b)) (exp (* -1 a))) (exp (- (* -1 a) 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 (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg a))) (exp (neg a))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* -1 (/ (* b (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (+ 1 (exp (neg a))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* 1/2 (* b (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2)))))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ (* -1/6 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/6 (/ 1 (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))))) (+ 1 (exp (neg a))))) (+ (* -6 (/ (* (pow (exp (neg a)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (pow (+ 1 (exp (neg a))) 2))) (* -2 (/ (* (pow (exp (neg a)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 3)) (pow (+ 1 (exp (neg a))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2))))))))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a))))))
Calls

6 calls:

TimeVariablePointExpression
33.0ms
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 (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b))
29.0ms
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 (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b))
21.0ms
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 (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b))
20.0ms
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 (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b))
6.0ms
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 (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b))

simplify141.0ms (1.5%)

Memory
-12.7MiB live, 121.1MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04532308
114101952
269701952
082031740
Stop Event
iter limit
node limit
Counts
85 → 85
Calls
Call 1
Inputs
#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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg b))) (exp (neg b))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* -1 (/ (* a (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (+ 1 (exp (neg b))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* 1/2 (* a (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2)))))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* a (+ (* 1/6 (* a (+ (* -6 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ (* -1/6 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/6 (/ 1 (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))))))) (+ 1 (exp (neg b))))) (+ (* -6 (/ (* (pow (exp (neg b)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (pow (+ 1 (exp (neg b))) 2))) (* -2 (/ (* (pow (exp (neg b)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 3)) (pow (+ 1 (exp (neg b))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2))))))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (neg b))) (exp (neg (+ a b)))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg b)) (exp (* -1 a))) (exp (- (* -1 a) 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 (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg a))) (exp (neg a))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* -1 (/ (* b (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (+ 1 (exp (neg a))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* 1/2 (* b (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2)))))))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ (* -1/6 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/6 (/ 1 (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))))) (+ 1 (exp (neg a))))) (+ (* -6 (/ (* (pow (exp (neg a)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (pow (+ 1 (exp (neg a))) 2))) (* -2 (/ (* (pow (exp (neg a)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 3)) (pow (+ 1 (exp (neg a))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2))))))))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a))))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (+.f64 (/.f64 a (+.f64 (exp.f64 b) #s(literal 1 binary64))) (log1p.f64 (exp.f64 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 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 (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 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)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#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)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) 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)))) #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)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) 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)))) #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)) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (/ b (+ (exp a) 1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (/ b (+ (exp a) 1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))
#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)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 0 binary64) a)) a (*.f64 #s(literal 1/2 binary64) 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 (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (+ (exp a) 1) #s(hole binary64 2))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
#s(approx (+ (exp a) 1) #s(hole binary64 (+ 2 a)))
#s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64)))
#s(approx (+ (exp a) 1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 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) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#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(hole binary64 1))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 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) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#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 #s(hole binary64 a))
#s(approx a a)
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#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))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#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))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#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)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#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)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#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 (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg b))) (exp (neg b))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* -1 (/ (* a (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (+ 1 (exp (neg b))))))))
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#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 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))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal -1/2 binary64)) b))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) (/.f64 #s(literal 1 binary64) b)) (*.f64 b b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ 1 (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (neg.f64 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal -1 binary64) #s(literal -1/2 binary64)) (neg.f64 b)))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a))))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite104.0ms (1.1%)

Memory
-17.8MiB live, 80.2MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046213
063208
1258207
02131199
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
25 → 161
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 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(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a))
(*.f64 (/.f64 b (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (expm1.f64 a) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(*.f64 (/.f64 b (-.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) (exp.f64 a))))
(*.f64 (/.f64 b (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(/.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)))
(neg.f64 (/.f64 (neg.f64 b) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(neg.f64 (/.f64 b (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
b
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (expm1.f64 a) (pow.f64 (exp.f64 a) #s(literal 2 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) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (expm1.f64 a) (pow.f64 (exp.f64 a) #s(literal 2 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) (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal 1 binary64))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (expm1.f64 a) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (expm1.f64 a) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(+.f64 (cosh.f64 a) (-.f64 (sinh.f64 a) #s(literal -1 binary64)))
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 a)))
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (exp.f64 (neg.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 a #s(literal 0 binary64)))
(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 (sinh.f64 a) (cosh.f64 a))
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
#s(literal 1 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)))
(-.f64 (log1p.f64 (*.f64 (neg.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(approx (exp a) #s(literal 1 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 #s(approx (exp a) #s(literal 1 binary64)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(log.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) b))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 b) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)))) (log.f64 (fma.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (-.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(approx (exp a) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(approx (exp a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (-.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(approx (exp a) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (-.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (exp a) #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) (/.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(+.f64 (/.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (-.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (-.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(+.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(approx (exp a) #s(literal 1 binary64)))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (*.f64 b #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64))
(fma.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal -1 binary64))))
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))))
(-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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 (exp.f64 b) (expm1.f64 b))))
(log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 b)))
(*.f64 (exp.f64 b) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 b) (sinh.f64 b))) (exp.f64 (neg.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 (sinh.f64 b) (cosh.f64 b))
(+.f64 (cosh.f64 b) (sinh.f64 b))

eval29.0ms (0.3%)

Memory
45.2MiB live, 45.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 7 660 to 1 173 computations (84.7% saved)

prune21.0ms (0.2%)

Memory
-10.5MiB live, 35.0MiB allocated; 3ms collecting garbage
Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New2457252
Fresh178
Picked235
Done022
Total24819267
Accuracy
100.0%
Counts
267 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a)))
54.7%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
48.7%
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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)))))
48.8%
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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)))))
47.7%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (sinh.f64 a) (cosh.f64 a))))
50.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
48.6%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
46.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
48.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
48.9%
#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)))))
2.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)) #s(literal 1 binary64)))))
53.5%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
4.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64))))))
3.3%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
5.3%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
12.1%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
48.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
48.3%
#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)))))
47.8%
#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 807 to 591 computations (26.8% saved)

series150.0ms (1.6%)

Memory
22.7MiB live, 204.5MiB allocated; 34ms collecting garbage
Counts
42 → 149
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a)))
(log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))))
(+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))
(exp.f64 (neg.f64 b))
(neg.f64 b)
b
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
(neg.f64 (+.f64 b a))
(+.f64 b a)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
(fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b))
(-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64))
(*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a))
(fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64))
#s(literal -1/48 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 a a)
#s(literal -1/192 binary64)
Outputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (log (+ 1 (exp (neg b)))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- 1 (/ 1 (+ 1 (exp (neg b))))))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* 1/2 (* a (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2)))))) (/ 1 (+ 1 (exp (neg b))))))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* a (+ (* 1/6 (* a (- (* 3 (/ 1 (pow (+ 1 (exp (neg b))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg b))) 3))) (/ 1 (+ 1 (exp (neg b)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2))))))) (/ 1 (+ 1 (exp (neg b))))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ 1 (exp (neg b))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* -1 (/ a (+ 1 (exp (neg b))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* a (- (* 1/2 (* a (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2))))) (/ 1 (+ 1 (exp (neg b)))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* a (- (* a (+ (* 1/6 (* a (- (* 3 (/ 1 (pow (+ 1 (exp (neg b))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg b))) 3))) (/ 1 (+ 1 (exp (neg b)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2)))))) (/ 1 (+ 1 (exp (neg b)))))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (exp (neg b)))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* -1 a)))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* 1/2 a) 1))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* a (+ 1/2 (* -1/6 a))) 1))))))
#s(approx (exp (neg a)) #s(hole binary64 1))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* -1 a))))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1)))))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (neg (+ b a)) #s(hole binary64 (* -1 b)))
#s(approx (neg (+ b a)) #s(hole binary64 (- (* -1 a) b)))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (+ (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 (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))))
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))
#s(approx (- (* (+ (* -1/48 b) 0) (neg a)) 0) #s(hole binary64 (* 1/48 (* a b))))
#s(approx (* (+ (* -1/48 b) 0) (neg a)) #s(hole binary64 (* 1/48 (* a b))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow a 2)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 a))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* a (+ 1 (+ (/ b a) (/ (log (+ (exp (neg a)) (exp (neg b)))) a))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ (exp (neg a)) (exp (neg b))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ (exp (neg a)) (exp (neg b)))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg a))))
#s(approx (neg (+ b a)) #s(hole binary64 (* -1 a)))
#s(approx (neg (+ b a)) #s(hole binary64 (* a (- (* -1 (/ b a)) 1))))
#s(approx (+ b a) #s(hole binary64 a))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b 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 (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/48 (* (pow a 3) b))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3))))))))
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* 1/48 (* (pow a 2) b))))
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* 1/8 (pow a 2))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* 1/8 a)))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* a (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* -1/192 (pow a 4))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1/192 (pow a 3))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow a 2))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (log (+ (exp (neg b)) (exp (* -1 a))))) a)) 1)))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ (exp (neg b)) (exp (* -1 a))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ (exp (neg b)) (exp (* -1 a)))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (* -1 a))))
#s(approx (neg (+ b a)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2))))))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ a (log (+ 1 (exp (neg a)))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- 1 (/ 1 (+ 1 (exp (neg a))))))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* 1/2 (* b (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2)))))) (/ 1 (+ 1 (exp (neg a))))))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* b (+ (* 1/6 (* b (- (* 3 (/ 1 (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg a))) 3))) (/ 1 (+ 1 (exp (neg a)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2))))))) (/ 1 (+ 1 (exp (neg a))))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ 1 (exp (neg a))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* -1 (/ b (+ 1 (exp (neg a))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* b (- (* 1/2 (* b (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2))))) (/ 1 (+ 1 (exp (neg a)))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* b (- (* b (+ (* 1/6 (* b (- (* 3 (/ 1 (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg a))) 3))) (/ 1 (+ 1 (exp (neg a)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2)))))) (/ 1 (+ 1 (exp (neg a)))))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (exp (neg a)))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* -1 b)))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* 1/2 b) 1))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* b (+ 1/2 (* -1/6 b))) 1))))))
#s(approx (exp (neg b)) #s(hole binary64 1))
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* -1 b))))
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* 1/2 b) 1)))))
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* b (+ 1/2 (* -1/6 b))) 1)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 b))
#s(approx (neg (+ b a)) #s(hole binary64 (- (* -1 b) a)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))))
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* b (- (* 1/48 (pow a 2)) 1/4))))
#s(approx (+ (* -1/48 b) 0) #s(hole binary64 (* -1/48 b)))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 b))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* b (+ 1 (+ (/ a b) (/ (log (+ (exp (neg a)) (exp (neg b)))) b))))))
#s(approx (exp (neg b)) #s(hole binary64 (exp (neg b))))
#s(approx (neg (+ b a)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a 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 (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (log (+ (exp (neg a)) (exp (* -1 b))))) b)) 1)))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ (exp (neg a)) (exp (* -1 b))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ (exp (neg a)) (exp (* -1 b)))))
#s(approx (exp (neg b)) #s(hole binary64 (exp (* -1 b))))
#s(approx (neg (+ b a)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/48 (pow a 2)))))))
Calls

6 calls:

TimeVariablePointExpression
40.0ms
a
@-inf
((- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (log (+ (exp (neg b)) (exp (neg a)))) (+ (exp (neg b)) (exp (neg a))) (exp (neg b)) (neg b) b (exp (neg a)) (neg a) a (neg (+ b a)) (+ b a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (- (* (+ (* -1/48 b) 0) (neg a)) 0) (* (+ (* -1/48 b) 0) (neg a)) (+ (* -1/48 b) 0) -1/48 0 (* -1/4 b) -1/4 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192)
34.0ms
a
@inf
((- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (log (+ (exp (neg b)) (exp (neg a)))) (+ (exp (neg b)) (exp (neg a))) (exp (neg b)) (neg b) b (exp (neg a)) (neg a) a (neg (+ b a)) (+ b a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (- (* (+ (* -1/48 b) 0) (neg a)) 0) (* (+ (* -1/48 b) 0) (neg a)) (+ (* -1/48 b) 0) -1/48 0 (* -1/4 b) -1/4 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192)
31.0ms
b
@inf
((- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (log (+ (exp (neg b)) (exp (neg a)))) (+ (exp (neg b)) (exp (neg a))) (exp (neg b)) (neg b) b (exp (neg a)) (neg a) a (neg (+ b a)) (+ b a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (- (* (+ (* -1/48 b) 0) (neg a)) 0) (* (+ (* -1/48 b) 0) (neg a)) (+ (* -1/48 b) 0) -1/48 0 (* -1/4 b) -1/4 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192)
26.0ms
b
@-inf
((- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (log (+ (exp (neg b)) (exp (neg a)))) (+ (exp (neg b)) (exp (neg a))) (exp (neg b)) (neg b) b (exp (neg a)) (neg a) a (neg (+ b a)) (+ b a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (- (* (+ (* -1/48 b) 0) (neg a)) 0) (* (+ (* -1/48 b) 0) (neg a)) (+ (* -1/48 b) 0) -1/48 0 (* -1/4 b) -1/4 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192)
10.0ms
b
@0
((- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (log (+ (exp (neg b)) (exp (neg a)))) (+ (exp (neg b)) (exp (neg a))) (exp (neg b)) (neg b) b (exp (neg a)) (neg a) a (neg (+ b a)) (+ b a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (- (* (+ (* -1/48 b) 0) (neg a)) 0) (* (+ (* -1/48 b) 0) (neg a)) (+ (* -1/48 b) 0) -1/48 0 (* -1/4 b) -1/4 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192)

simplify159.0ms (1.7%)

Memory
-33.1MiB live, 152.7MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05863318
114773214
252683148
083082876
Stop Event
iter limit
node limit
Counts
149 → 149
Calls
Call 1
Inputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (log (+ 1 (exp (neg b)))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- 1 (/ 1 (+ 1 (exp (neg b))))))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* 1/2 (* a (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2)))))) (/ 1 (+ 1 (exp (neg b))))))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* a (+ (* 1/6 (* a (- (* 3 (/ 1 (pow (+ 1 (exp (neg b))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg b))) 3))) (/ 1 (+ 1 (exp (neg b)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2))))))) (/ 1 (+ 1 (exp (neg b))))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ 1 (exp (neg b))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* -1 (/ a (+ 1 (exp (neg b))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* a (- (* 1/2 (* a (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2))))) (/ 1 (+ 1 (exp (neg b)))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* a (- (* a (+ (* 1/6 (* a (- (* 3 (/ 1 (pow (+ 1 (exp (neg b))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg b))) 3))) (/ 1 (+ 1 (exp (neg b)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2)))))) (/ 1 (+ 1 (exp (neg b)))))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (exp (neg b)))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* -1 a)))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* 1/2 a) 1))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* a (+ 1/2 (* -1/6 a))) 1))))))
#s(approx (exp (neg a)) #s(hole binary64 1))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* -1 a))))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1)))))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (neg (+ b a)) #s(hole binary64 (* -1 b)))
#s(approx (neg (+ b a)) #s(hole binary64 (- (* -1 a) b)))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (+ (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 (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))))
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))
#s(approx (- (* (+ (* -1/48 b) 0) (neg a)) 0) #s(hole binary64 (* 1/48 (* a b))))
#s(approx (* (+ (* -1/48 b) 0) (neg a)) #s(hole binary64 (* 1/48 (* a b))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow a 2)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 a))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* a (+ 1 (+ (/ b a) (/ (log (+ (exp (neg a)) (exp (neg b)))) a))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ (exp (neg a)) (exp (neg b))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ (exp (neg a)) (exp (neg b)))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg a))))
#s(approx (neg (+ b a)) #s(hole binary64 (* -1 a)))
#s(approx (neg (+ b a)) #s(hole binary64 (* a (- (* -1 (/ b a)) 1))))
#s(approx (+ b a) #s(hole binary64 a))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b 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 (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/48 (* (pow a 3) b))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3))))))))
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* 1/48 (* (pow a 2) b))))
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* 1/8 (pow a 2))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* 1/8 a)))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* a (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* -1/192 (pow a 4))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1/192 (pow a 3))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow a 2))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (log (+ (exp (neg b)) (exp (* -1 a))))) a)) 1)))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ (exp (neg b)) (exp (* -1 a))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ (exp (neg b)) (exp (* -1 a)))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (* -1 a))))
#s(approx (neg (+ b a)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2))))))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ a (log (+ 1 (exp (neg a)))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- 1 (/ 1 (+ 1 (exp (neg a))))))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* 1/2 (* b (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2)))))) (/ 1 (+ 1 (exp (neg a))))))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* b (+ (* 1/6 (* b (- (* 3 (/ 1 (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg a))) 3))) (/ 1 (+ 1 (exp (neg a)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2))))))) (/ 1 (+ 1 (exp (neg a))))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ 1 (exp (neg a))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* -1 (/ b (+ 1 (exp (neg a))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* b (- (* 1/2 (* b (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2))))) (/ 1 (+ 1 (exp (neg a)))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* b (- (* b (+ (* 1/6 (* b (- (* 3 (/ 1 (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg a))) 3))) (/ 1 (+ 1 (exp (neg a)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2)))))) (/ 1 (+ 1 (exp (neg a)))))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (exp (neg a)))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* -1 b)))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* 1/2 b) 1))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* b (+ 1/2 (* -1/6 b))) 1))))))
#s(approx (exp (neg b)) #s(hole binary64 1))
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* -1 b))))
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* 1/2 b) 1)))))
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* b (+ 1/2 (* -1/6 b))) 1)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 b))
#s(approx (neg (+ b a)) #s(hole binary64 (- (* -1 b) a)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))))
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* b (- (* 1/48 (pow a 2)) 1/4))))
#s(approx (+ (* -1/48 b) 0) #s(hole binary64 (* -1/48 b)))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 b))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* b (+ 1 (+ (/ a b) (/ (log (+ (exp (neg a)) (exp (neg b)))) b))))))
#s(approx (exp (neg b)) #s(hole binary64 (exp (neg b))))
#s(approx (neg (+ b a)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a 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 (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (log (+ (exp (neg a)) (exp (* -1 b))))) b)) 1)))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ (exp (neg a)) (exp (* -1 b))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ (exp (neg a)) (exp (* -1 b)))))
#s(approx (exp (neg b)) #s(hole binary64 (exp (* -1 b))))
#s(approx (neg (+ b a)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/48 (pow a 2)))))))
Outputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (log (+ 1 (exp (neg b)))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- 1 (/ 1 (+ 1 (exp (neg b))))))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)))) a (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* 1/2 (* a (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2)))))) (/ 1 (+ 1 (exp (neg b))))))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))))) a (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* a (+ (* 1/6 (* a (- (* 3 (/ 1 (pow (+ 1 (exp (neg b))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg b))) 3))) (/ 1 (+ 1 (exp (neg b)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2))))))) (/ 1 (+ 1 (exp (neg b))))))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))))) a (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ 1 (exp (neg b))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) (log1p.f64 (exp.f64 (neg.f64 b))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* -1 (/ a (+ 1 (exp (neg b))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 b))) (/.f64 a (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* a (- (* 1/2 (* a (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2))))) (/ 1 (+ 1 (exp (neg b)))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 (neg.f64 b)))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* a (- (* a (+ (* 1/6 (* a (- (* 3 (/ 1 (pow (+ 1 (exp (neg b))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg b))) 3))) (/ 1 (+ 1 (exp (neg b)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2)))))) (/ 1 (+ 1 (exp (neg b)))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 (neg.f64 b)))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (exp (neg b)))))
#s(approx (+ (exp (neg b)) (exp (neg a))) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* -1 a)))))
#s(approx (+ (exp (neg b)) (exp (neg a))) (-.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) a))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* 1/2 a) 1))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* a (+ 1/2 (* -1/6 a))) 1))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) (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 (neg.f64 b)) #s(literal 1 binary64))))
#s(approx (exp (neg a)) #s(hole binary64 1))
#s(approx (exp (neg a)) #s(literal 1 binary64))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* -1 a))))
#s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1)))))
#s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (exp (neg 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 (neg a) #s(hole binary64 (* -1 a)))
#s(approx (neg a) (neg.f64 a))
#s(approx a #s(hole binary64 a))
#s(approx a a)
#s(approx (neg (+ b a)) #s(hole binary64 (* -1 b)))
#s(approx (neg (+ b a)) (neg.f64 b))
#s(approx (neg (+ b a)) #s(hole binary64 (- (* -1 a) b)))
#s(approx (neg (+ b a)) (-.f64 (neg.f64 a) b))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) b)
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx (+ b a) (+.f64 a b))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 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))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 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))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 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 (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 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)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#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)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) 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)))) #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)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) 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)))) #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)) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) b #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (/ b (+ (exp a) 1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (/ b (+ (exp a) 1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))
#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)) (fma.f64 (*.f64 b (fma.f64 #s(literal 0 binary64) a #s(literal -1/4 binary64))) a (*.f64 #s(literal 1/2 binary64) 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 (/ b (+ (exp a) 1)) (*.f64 b (+.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) (*.f64 b (+.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
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#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) b (+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) a)))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* 1/2 (* b (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2)))))) (/ 1 (+ 1 (exp (neg a))))))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) b) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))) b (+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) a)))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* b (+ (* 1/6 (* b (- (* 3 (/ 1 (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg a))) 3))) (/ 1 (+ 1 (exp (neg a)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2))))))) (/ 1 (+ 1 (exp (neg a))))))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))) b (+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) a)))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ 1 (exp (neg a))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) (log1p.f64 (exp.f64 (neg.f64 a))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* -1 (/ b (+ 1 (exp (neg a))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 a))) (/.f64 b (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* b (- (* 1/2 (* b (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2))))) (/ 1 (+ 1 (exp (neg a)))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 (neg.f64 a)))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* b (- (* b (+ (* 1/6 (* b (- (* 3 (/ 1 (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg a))) 3))) (/ 1 (+ 1 (exp (neg a)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2)))))) (/ 1 (+ 1 (exp (neg a)))))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 (neg.f64 a)))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (exp (neg a)))))
#s(approx (+ (exp (neg b)) (exp (neg a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* -1 b)))))
#s(approx (+ (exp (neg b)) (exp (neg a))) (-.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) b))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* 1/2 b) 1))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* b (+ 1/2 (* -1/6 b))) 1))))))
#s(approx (+ (exp (neg b)) (exp (neg a))) (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 (neg.f64 a)) #s(literal 1 binary64))))
#s(approx (exp (neg b)) #s(hole binary64 1))
#s(approx (exp (neg b)) #s(literal 1 binary64))
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* -1 b))))
#s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* 1/2 b) 1)))))
#s(approx (exp (neg b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* b (+ 1/2 (* -1/6 b))) 1)))))
#s(approx (exp (neg 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 (neg b) #s(hole binary64 (* -1 b)))
#s(approx (neg b) (neg.f64 b))
#s(approx b #s(hole binary64 b))
#s(approx b b)
#s(approx (neg (+ b a)) #s(hole binary64 (- (* -1 b) a)))
#s(approx (neg (+ b a)) (-.f64 (neg.f64 a) b))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 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))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 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))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 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 (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log1p.f64 (exp.f64 a)))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx (* 1/2 b) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* b (- (* 1/48 (pow a 2)) 1/4))))
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b))
#s(approx (+ (* -1/48 b) 0) #s(hole binary64 (* -1/48 b)))
#s(approx (+ (* -1/48 b) 0) (*.f64 #s(literal -1/48 binary64) b))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx (* -1/4 b) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 b))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* b (+ 1 (+ (/ a b) (/ (log (+ (exp (neg a)) (exp (neg b)))) b))))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) a) b) b b))
#s(approx (exp (neg b)) #s(hole binary64 (exp (neg b))))
#s(approx (exp (neg b)) (exp.f64 (neg.f64 b)))
#s(approx (neg (+ b a)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (neg (+ b a)) (neg.f64 (fma.f64 (/.f64 a b) b b)))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ b a) (fma.f64 (/.f64 a b) b 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)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (log (+ (exp (neg a)) (exp (* -1 b))))) b)) 1)))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (*.f64 (fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) a) b) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 b)))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ (exp (neg a)) (exp (* -1 b))))))
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))))
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ (exp (neg a)) (exp (* -1 b)))))
#s(approx (+ (exp (neg b)) (exp (neg a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))))
#s(approx (exp (neg b)) #s(hole binary64 (exp (* -1 b))))
#s(approx (exp (neg b)) (exp.f64 (neg.f64 b)))
#s(approx (neg (+ b a)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (neg (+ b a)) (neg.f64 (fma.f64 (/.f64 a b) b b)))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (+ b a) (neg.f64 (neg.f64 (fma.f64 (/.f64 a b) b b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 b)))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2)))))
#s(approx (+ (* (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal -1/2 binary64)) (neg.f64 b)))
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64)) b))

rewrite46.0ms (0.5%)

Memory
3.4MiB live, 49.2MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055412
086392
0347376
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
42 → 121
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a)))
(log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))))
(+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))
(exp.f64 (neg.f64 b))
(neg.f64 b)
b
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
(neg.f64 (+.f64 b a))
(+.f64 b a)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
(fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b))
(-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64))
(*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a))
(fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64))
#s(literal -1/48 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 a a)
#s(literal -1/192 binary64)
Outputs
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))))) (*.f64 (neg.f64 (+.f64 a b)) (neg.f64 (+.f64 a b)))) (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) (neg.f64 (+.f64 a b))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 a b)) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) (fma.f64 (neg.f64 (+.f64 a b)) (neg.f64 (+.f64 a b)) (*.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) (neg.f64 (+.f64 a b))))))
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) (neg.f64 (+.f64 a b)))
(log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))))
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#s(literal -1/192 binary64)

eval47.0ms (0.5%)

Memory
-4.7MiB live, 46.9MiB allocated; 7ms collecting garbage
Compiler

Compiled 9 818 to 1 268 computations (87.1% saved)

prune18.0ms (0.2%)

Memory
28.6MiB live, 28.6MiB allocated; 0ms collecting garbage
Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New2827289
Fresh549
Picked235
Done145
Total29018308
Accuracy
100.0%
Counts
308 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
50.3%
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))
54.3%
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
48.7%
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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)))))
48.8%
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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)))))
50.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
48.6%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
46.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
48.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
48.9%
#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)))))
12.1%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
48.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
48.3%
#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)))))
47.8%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #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))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
23.3%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a) #s(literal -1/8 binary64)) (*.f64 a a)))))
2.6%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a))))
3.4%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a))))
Compiler

Compiled 1 223 to 545 computations (55.4% saved)

regimes98.0ms (1.1%)

Memory
10.8MiB live, 98.2MiB allocated; 9ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a) #s(literal -1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))
(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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)) #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (sinh.f64 a) (cosh.f64 a))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(log.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))))
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
Calls

6 calls:

41.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
23.0ms
a
9.0ms
b
7.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
99.0%1(exp.f64 b)
99.0%1(exp.f64 a)
99.0%1(+.f64 (exp.f64 a) (exp.f64 b))
99.0%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
99.0%1a
99.0%1b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes67.0ms (0.7%)

Memory
-12.8MiB live, 86.9MiB allocated; 38ms collecting garbage
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a) #s(literal -1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))
(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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)) #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (sinh.f64 a) (cosh.f64 a))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a)))
Outputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a)))
Calls

6 calls:

25.0ms
(exp.f64 a)
13.0ms
b
9.0ms
a
7.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
7.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
54.7%1(exp.f64 b)
99.9%2(exp.f64 a)
99.1%2(+.f64 (exp.f64 a) (exp.f64 b))
99.1%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
99.9%2a
67.9%2b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes20.0ms (0.2%)

Memory
-15.4MiB live, 30.0MiB allocated; 5ms collecting garbage
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a) #s(literal -1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))
(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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)) #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (sinh.f64 a) (cosh.f64 a))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
Calls

2 calls:

10.0ms
(exp.f64 a)
8.0ms
a
Results
AccuracySegmentsBranch
99.2%2(exp.f64 a)
99.2%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes15.0ms (0.2%)

Memory
23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a) #s(literal -1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))
(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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)) #s(literal 1 binary64)))))
Outputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
Calls

2 calls:

8.0ms
a
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.1%2(exp.f64 a)
99.1%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes37.0ms (0.4%)

Memory
-10.6MiB live, 33.9MiB allocated; 7ms collecting garbage
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a) #s(literal -1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
Outputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
Calls

4 calls:

17.0ms
(exp.f64 a)
7.0ms
a
6.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
99.4%3(+.f64 (exp.f64 a) (exp.f64 b))
99.4%3(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
99.0%2(exp.f64 a)
99.0%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes14.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a) #s(literal -1/8 binary64)) (*.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))
Outputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
Calls

2 calls:

7.0ms
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)

regimes28.0ms (0.3%)

Memory
-27.9MiB live, 17.5MiB allocated; 6ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a) #s(literal -1/8 binary64)) (*.f64 a a)))))
Outputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
#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:

20.0ms
(exp.f64 a)
6.0ms
a
Results
AccuracySegmentsBranch
98.3%2(exp.f64 a)
98.3%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes10.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
Outputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) 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

2 calls:

5.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.2%2(exp.f64 a)
98.2%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes19.0ms (0.2%)

Memory
-26.7MiB live, 25.5MiB allocated; 10ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) 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:

9.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms
a
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.4%3(+.f64 (exp.f64 a) (exp.f64 b))
98.4%3(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
97.7%2(exp.f64 a)
97.7%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes6.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
Outputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) 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
97.7%2(exp.f64 a)
97.7%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes5.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
Outputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
Calls

2 calls:

3.0ms
a
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.3%2(exp.f64 a)
97.3%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes17.0ms (0.2%)

Memory
-19.5MiB live, 25.6MiB allocated; 5ms collecting garbage
Accuracy

Total -33.5b remaining (-114.6%)

Threshold costs -33.5b (-114.6%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
Outputs
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
Calls

6 calls:

6.0ms
(exp.f64 b)
2.0ms
a
2.0ms
b
2.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
54.3%1(exp.f64 b)
54.3%1b
54.3%1(+.f64 (exp.f64 a) (exp.f64 b))
54.3%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
54.3%1(exp.f64 a)
54.3%1a
Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch22.0ms (0.2%)

Memory
38.5MiB live, 38.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-1223.0935506880153
-20.29548152868699
Samples
15.0ms105×1valid
0.0ms0valid
Compiler

Compiled 205 to 186 computations (9.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 5.0ms (40.6% of total)
ival-log: 4.0ms (32.5% of total)
adjust: 2.0ms (16.2% of total)
ival-add: 1.0ms (8.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
-25.4MiB live, 19.4MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
-20.29548152868699
-9.726324856631733
Samples
15.0ms75×1valid
0.0ms0valid
Compiler

Compiled 169 to 146 computations (13.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-exp: 8.0ms (62.5% of total)
ival-log: 3.0ms (23.4% of total)
adjust: 2.0ms (15.6% of total)
ival-add: 1.0ms (7.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-20.29548152868699
-9.726324856631733
Compiler

Compiled 154 to 136 computations (11.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
-20.29548152868699
-9.726324856631733
Compiler

Compiled 134 to 126 computations (6% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
-20.29548152868699
-9.726324856631733
Compiler

Compiled 134 to 126 computations (6% saved)

bsearch10.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
-9.726324856631733
-1.8854146075399958
Samples
5.0ms96×0valid
Compiler

Compiled 255 to 215 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (64% of total)
ival-log: 1.0ms (32% 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)

bsearch9.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
-20.29548152868699
-9.726324856631733
Samples
3.0ms54×0valid
2.0ms10×1valid
Compiler

Compiled 189 to 166 computations (12.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 1.0ms (27.9% of total)
ival-log: 1.0ms (27.9% of total)
adjust: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory
-25.4MiB live, 19.3MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
-1.8854146075399958
-0.026395039700642463
Samples
13.0ms112×0valid
Compiler

Compiled 240 to 214 computations (10.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (55.5% of total)
ival-log: 1.0ms (27.8% 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)

bsearch7.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
6.0ms
-1.8854146075399958
-0.026395039700642463
Samples
3.0ms64×0valid
Compiler

Compiled 212 to 186 computations (12.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (47.8% of total)
ival-log: 1.0ms (47.8% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
-20.29548152868699
-9.726324856631733
Compiler

Compiled 144 to 131 computations (9% saved)

simplify54.0ms (0.6%)

Memory
8.5MiB live, 65.7MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
098377
1137376
2215376
3537376
42245365
Stop Event
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 -33 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) (-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))))
(if (<=.f64 a #s(literal -20 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -20 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -20 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -20 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -3152519739159347/281474976710656 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 a #s(literal -3152519739159347/281474976710656 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -33 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) (-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))))
(if (<=.f64 a #s(literal -33 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (+.f64 b a)))
(if (<=.f64 a #s(literal -20 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -20 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -20 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -20 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -3152519739159347/281474976710656 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 a #s(literal -3152519739159347/281474976710656 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b)

derivations441.0ms (4.8%)

Memory
-11.8MiB live, 307.8MiB allocated; 57ms collecting garbage
Stop Event
fuel
Compiler

Compiled 376 to 98 computations (73.9% saved)

preprocess133.0ms (1.4%)

Memory
-46.7MiB live, 100.9MiB allocated; 90ms collecting garbage
Compiler

Compiled 826 to 254 computations (69.2% saved)

end0.0ms (0%)

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

Profiling

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