symmetry log of sum of exp

Time bar (total: 10.3s)

start0.0ms (0%)

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

analyze125.0ms (1.2%)

Memory
43.1MiB live, 181.0MiB allocated; 8ms 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 (56%)

Memory
130.4MiB live, 5 232.5MiB allocated; 2.3s collecting garbage
Samples
2.5s7 736×5exit
1.1s1 601×2valid
596.0ms2 418×1valid
269.0ms4 237×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.6s
ival-log: 1.5s (42.7% of total)
ival-exp: 915.0ms (25.2% of total)
adjust: 890.0ms (24.5% of total)
ival-add: 255.0ms (7% of total)
ival-true: 14.0ms (0.4% of total)
ival-assert: 7.0ms (0.2% of total)
Bogosity

explain175.0ms (1.7%)

Memory
-33.5MiB live, 155.4MiB allocated; 19ms 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
30.0ms150×1valid
16.0ms268×0valid
Compiler

Compiled 44 to 22 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-log: 37.0ms (51.3% of total)
ival-exp: 23.0ms (31.9% of total)
adjust: 7.0ms (9.7% of total)
ival-add: 4.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess181.0ms (1.8%)

Memory
9.1MiB live, 143.4MiB allocated; 14ms 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
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

simplify161.0ms (1.6%)

Memory
10.8MiB live, 157.9MiB allocated; 32ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 b)
cost-diff0
(exp.f64 a)
cost-diff0
(+.f64 (exp.f64 a) (exp.f64 b))
cost-diff0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
11717
24017
311217
451517
5517917
0830417
Stop Event
iter limit
node limit
iter limit
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
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 a)
a
(exp.f64 b)
b

localize81.0ms (0.8%)

Memory
-9.6MiB live, 36.5MiB allocated; 3ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 b)
accuracy0.0
(exp.f64 a)
accuracy0.0078125
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy28.993832470659672
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
37.0ms134×0valid
23.0ms47×2valid
14.0ms75×1valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-log: 18.0ms (50.5% of total)
ival-exp: 12.0ms (33.7% of total)
adjust: 3.0ms (8.4% of total)
ival-add: 2.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series101.0ms (1%)

Memory
16.4MiB live, 111.7MiB allocated; 14ms collecting garbage
Counts
4 → 28
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
(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 (+ (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 (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 (exp b) #s(hole binary64 (exp b)))
Calls

6 calls:

TimeVariablePointExpression
41.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
26.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
17.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
15.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
1.0ms
a
@0
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))

simplify165.0ms (1.6%)

Memory
31.8MiB live, 169.3MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127518
1345518
21260514
35625514
08760468
Stop Event
iter limit
node limit
Counts
28 → 28
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 (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 (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 (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 (exp b) #s(hole binary64 (exp b)))
#s(approx (exp b) (exp.f64 b))

rewrite135.0ms (1.3%)

Memory
11.7MiB live, 146.2MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
01015
13015
222515
3292315
0858015
Stop Event
iter limit
node limit
iter limit
Counts
4 → 278
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
(exp.f64 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))))
(-.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 (exp.f64 a) (cosh.f64 b)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 a) (cosh.f64 b)) #s(literal 2 binary64)) (fma.f64 (sinh.f64 b) (sinh.f64 b) (*.f64 (-.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b))))))
(-.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)))))
(-.f64 (log.f64 (-.f64 (*.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) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))) (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))))) (log.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.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 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))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 b) #s(literal 2 binary64)))) (log.f64 (-.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 2 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 2 binary64)))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (pow.f64 (+.f64 (sinh.f64 b) (exp.f64 a)) #s(literal 2 binary64)))) (log.f64 (-.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) (exp.f64 a)))))
(-.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)))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 b) (exp.f64 a)) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (+.f64 (sinh.f64 b) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) (exp.f64 a)))))))
(-.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 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (log.f64 (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))))
(-.f64 (log.f64 (fma.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 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 3 binary64))))) (log.f64 (pow.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 (fma.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 (fma.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 (fma.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 (fma.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 (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)))))
(-.f64 (log.f64 (fma.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 (fma.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)))))
(-.f64 (log.f64 (fma.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) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))))) (log.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64)))) (log.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) (-.f64 (exp.f64 b) (exp.f64 a)))))
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(+.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 (sinh.f64 b) (-.f64 (cosh.f64 b) (exp.f64 a)))
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(+.f64 (sinh.f64 a) (+.f64 (cosh.f64 a) (exp.f64 b)))
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(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) (exp.f64 b)))
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(*.f64 (sqrt.f64 (neg.f64 (exp.f64 a))) (sqrt.f64 (neg.f64 (exp.f64 a))))
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(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 a) (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) #s(literal 2 binary64))
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(/.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))))
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(/.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))
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(/.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))
(*.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))
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(/.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))))
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(/.f64 (sqrt.f64 (*.f64 (exp.f64 b) #s(literal 1 binary64))) (sqrt.f64 (exp.f64 (neg.f64 b))))
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(/.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))))
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(/.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))
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(/.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))

eval44.0ms (0.4%)

Memory
-46.0MiB live, 53.2MiB allocated; 11ms collecting garbage
Compiler

Compiled 7 760 to 1 228 computations (84.2% saved)

prune9.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2979306
Fresh000
Picked011
Done000
Total29710307
Accuracy
99.4%
Counts
307 → 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)

simplify96.0ms (0.9%)

Memory
22.9MiB live, 113.8MiB allocated; 8ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff1
(+.f64 (neg.f64 a) (neg.f64 b))
cost-diff1
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
cost-diff2
(*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
cost-diff8
(/.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))))
cost-diff0
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
cost-diff0
(exp.f64 a)
cost-diff0
(+.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))))
cost-diff0
(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)))))
cost-diff0
(exp.f64 b)
cost-diff0
#s(approx (exp a) #s(literal 1 binary64))
cost-diff0
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
cost-diff0
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
cost-diff0
(exp.f64 a)
cost-diff0
(log1p.f64 (exp.f64 a))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
cost-diff0
(-.f64 (exp.f64 a) #s(literal -1 binary64))
cost-diff0
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
cost-diff0
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035212
062197
1110197
2313181
32086181
09001181
Stop Event
iter limit
node limit
iter 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))))
(+.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)))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
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)
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))))
(exp.f64 a)
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 (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)
b
#s(literal 1 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)))
#s(literal 1 binary64)
(exp.f64 (neg.f64 b))
(neg.f64 b)
b
(*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(exp.f64 (neg.f64 a))
(neg.f64 a)
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 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
#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 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 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)))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
(+.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 b)
b
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a)))
(+.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 #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))
(exp.f64 a)
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 (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)
b
#s(literal 1 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)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(/.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 (exp.f64 b) (exp.f64 a))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))
#s(literal 1 binary64)
(exp.f64 (neg.f64 b))
(neg.f64 b)
b
(*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(exp.f64 (neg.f64 a))
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
(exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))
(exp.f64 (-.f64 (neg.f64 b) a))
(+.f64 (neg.f64 a) (neg.f64 b))
(-.f64 (neg.f64 a) b)

localize101.0ms (1%)

Memory
-2.5MiB live, 95.0MiB allocated; 33ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 (neg.f64 a))
accuracy0.01171875
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
accuracy1.234388755254126
(/.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))))
accuracy1.733651965935832
(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)))))
accuracy0.0
(exp.f64 a)
accuracy0.0078125
(+.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))))
accuracy0.7643412422314229
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
accuracy1.733651965935832
(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)))))
accuracy0.0
(exp.f64 b)
accuracy0.0078125
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
accuracy1.733651965935832
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
accuracy2.5295213359364235
#s(approx (exp a) #s(literal 1 binary64))
accuracy0.0
(exp.f64 a)
accuracy0.00390625
(log1p.f64 (exp.f64 a))
accuracy2.0220553920566355
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
accuracy0.00390625
(-.f64 (exp.f64 a) #s(literal -1 binary64))
accuracy0.00390625
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
accuracy0.00390625
(log1p.f64 (exp.f64 a))
accuracy0.6059209407019626
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
Samples
50.0ms126×0valid
25.0ms125×0exit
6.0ms2valid
1.0ms1valid
Compiler

Compiled 181 to 30 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 19.0ms (35.7% of total)
ival-exp: 10.0ms (18.8% of total)
ival-log: 7.0ms (13.2% of total)
ival-add: 6.0ms (11.3% of total)
ival-div: 3.0ms (5.6% of total)
ival-log1p: 2.0ms (3.8% of total)
ival-neg: 2.0ms (3.8% of total)
adjust: 1.0ms (1.9% of total)
ival-sub: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series249.0ms (2.4%)

Memory
-1.9MiB live, 272.3MiB allocated; 38ms collecting garbage
Counts
20 → 105
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)))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(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))
(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)))
(/.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 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(+.f64 (neg.f64 a) (neg.f64 b))
(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)))))
(exp.f64 (neg.f64 a))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ 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 (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (+ (* 1 (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 (* (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 (+ (* 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 (+ (neg a) (neg b)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (- (* -1 a) 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))))))
#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 (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 (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 (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp 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 (* (exp (neg a)) 1) #s(hole binary64 (exp (neg a))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg a)) (exp (neg 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 a)) (exp (neg b))) (exp (neg (+ a b)))))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg a))))
#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 (* (exp (neg a)) 1) #s(hole binary64 (exp (* -1 a))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg b)) (exp (* -1 a)))))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a))))))
#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 (exp (neg a)) #s(hole binary64 (exp (* -1 a))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (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 (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 (+ (neg a) (neg b)) #s(hole binary64 (- (* -1 b) 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))))))
#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 (+ (/ 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 (+ (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 (/ (+ (* 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 (+ (neg a) (neg b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a 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))))))
Calls

6 calls:

TimeVariablePointExpression
74.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (- (exp a) -1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (* (exp (neg a)) 1) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (exp (neg a)))
49.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (- (exp a) -1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (* (exp (neg a)) 1) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (exp (neg a)))
49.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (- (exp a) -1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (* (exp (neg a)) 1) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (exp (neg a)))
38.0ms
a
@0
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (- (exp a) -1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (* (exp (neg a)) 1) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (exp (neg a)))
29.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (- (exp a) -1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (* (exp (neg a)) 1) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (exp (neg a)))

simplify169.0ms (1.6%)

Memory
17.8MiB live, 200.5MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05202961
115752395
277682395
090002198
Stop Event
iter limit
node limit
Counts
105 → 105
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 (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (+ (* 1 (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 (* (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 (+ (* 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 (+ (neg a) (neg b)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (- (* -1 a) 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))))))
#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 (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 (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 (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp 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 (* (exp (neg a)) 1) #s(hole binary64 (exp (neg a))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg a)) (exp (neg 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 a)) (exp (neg b))) (exp (neg (+ a b)))))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg a))))
#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 (* (exp (neg a)) 1) #s(hole binary64 (exp (* -1 a))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg b)) (exp (* -1 a)))))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a))))))
#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 (exp (neg a)) #s(hole binary64 (exp (* -1 a))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (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 (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 (+ (neg a) (neg b)) #s(hole binary64 (- (* -1 b) 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))))))
#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 (+ (/ 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 (+ (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 (/ (+ (* 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 (+ (neg a) (neg b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a 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))))))
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 (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) #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 (+ (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)))))))))
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#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#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) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (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 #s(literal 1 binary64) b))
#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 (/ (+ (* 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)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
#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)))) (fma.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a)) (neg.f64 b) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#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)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64))) (neg.f64 b)) (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a))) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#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)) (exp (+ (neg a) (neg b)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (+.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/6 binary64) (fma.f64 (exp.f64 a) #s(literal 2/3 binary64) (fma.f64 (exp.f64 a) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) (fma.f64 (exp.f64 a) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 b)) (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64)))) b (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (exp.f64 a)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#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)) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
#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)) (-.f64 (exp.f64 (neg.f64 a)) (-.f64 b #s(literal 1 binary64))))
#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)) (+.f64 (exp.f64 (neg.f64 a)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b #s(literal 1 binary64))))
#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 (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+.f64 (exp.f64 (neg.f64 a)) (fma.f64 (-.f64 (*.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 a) (neg b)) #s(hole binary64 (- (* -1 b) a)))
#s(approx (+ (neg a) (neg b)) (-.f64 (neg.f64 a) 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))))) (log1p.f64 (exp.f64 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))))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 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))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64))) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64))) b (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)))) b (log1p.f64 (exp.f64 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))))) (* 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 (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 #s(literal -6 binary64) (fma.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (+.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/6 binary64) (fma.f64 (exp.f64 a) #s(literal 2/3 binary64) (fma.f64 (exp.f64 a) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) (fma.f64 (exp.f64 a) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)) (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a))) (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) b) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64))) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64)))) b (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)))) b (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #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 (exp b) #s(hole binary64 (exp b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (+ (neg a) (neg b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) 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 (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)) (exp (+ (neg a) (neg b)))) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg a)) (exp (* -1 b)))))
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))))
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (+ (neg a) (neg b)) (neg.f64 (fma.f64 (/.f64 a b) b 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))))

rewrite108.0ms (1%)

Memory
0.8MiB live, 89.7MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035168
062154
1229153
01818153
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
20 → 227
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)))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(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))
(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)))
(/.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 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(+.f64 (neg.f64 a) (neg.f64 b))
(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)))))
(exp.f64 (neg.f64 a))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 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))))
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(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))) (exp.f64 (neg.f64 (+.f64 b a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 3 binary64))) (*.f64 (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))) (exp.f64 (neg.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (exp.f64 (neg.f64 (+.f64 b a)))))
(/.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))) (exp.f64 (neg.f64 (+.f64 b a))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (exp.f64 (neg.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))) (neg.f64 (exp.f64 (neg.f64 (+.f64 b a))))))
(fma.f64 (/.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) (exp.f64 (-.f64 (neg.f64 a) (neg.f64 (+.f64 b a)))))
(fma.f64 (/.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 a))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) (exp.f64 (-.f64 (neg.f64 b) (neg.f64 (+.f64 b a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (/.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 b))) (exp.f64 (-.f64 (neg.f64 a) (neg.f64 (+.f64 b a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (/.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))) (exp.f64 (-.f64 (neg.f64 b) (neg.f64 (+.f64 b a)))))
(fma.f64 (exp.f64 (neg.f64 b)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 b a)))) (exp.f64 (-.f64 (neg.f64 a) (neg.f64 (+.f64 b a)))))
(fma.f64 (exp.f64 (neg.f64 a)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 b a)))) (exp.f64 (-.f64 (neg.f64 b) (neg.f64 (+.f64 b a)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) (neg.f64 (+.f64 b a)))) (exp.f64 (-.f64 (neg.f64 b) (neg.f64 (+.f64 b a)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 b) (neg.f64 (+.f64 b a)))) (exp.f64 (-.f64 (neg.f64 a) (neg.f64 (+.f64 b a)))))
(-.f64 (exp.f64 (-.f64 (neg.f64 b) (neg.f64 (+.f64 b a)))) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (exp.f64 (neg.f64 (+.f64 b a)))))
(+.f64 (exp.f64 (-.f64 (neg.f64 a) (neg.f64 (+.f64 b a)))) (exp.f64 (-.f64 (neg.f64 b) (neg.f64 (+.f64 b a)))))
(+.f64 (exp.f64 (-.f64 (neg.f64 b) (neg.f64 (+.f64 b a)))) (exp.f64 (-.f64 (neg.f64 a) (neg.f64 (+.f64 b 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))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 b)) (/.f64 #s(literal -1 binary64) (exp.f64 a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 3 binary64)))) (neg.f64 (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 (+.f64 (exp.f64 a) (*.f64 (exp.f64 b) #s(literal 1 binary64))) (exp.f64 (+.f64 b a)))
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 b a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)) (exp.f64 (neg.f64 (+.f64 b a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 3 binary64)) (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))))
(fma.f64 (*.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64) (exp.f64 (neg.f64 a)))
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64) (exp.f64 (neg.f64 b)))
(fma.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(fma.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64) (exp.f64 (neg.f64 b)))
(fma.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) (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 (*.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))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))))) (*.f64 (neg.f64 (+.f64 b a)) (neg.f64 (+.f64 b a)))) (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 b a)) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (fma.f64 (neg.f64 (+.f64 b a)) (neg.f64 (+.f64 b a)) (*.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))))) (log.f64 (neg.f64 (exp.f64 (neg.f64 (+.f64 b a))))))
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a)))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))) (exp.f64 (neg.f64 (+.f64 b 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))

eval41.0ms (0.4%)

Memory
13.6MiB live, 56.4MiB allocated; 9ms collecting garbage
Compiler

Compiled 9 233 to 1 479 computations (84% saved)

prune16.0ms (0.2%)

Memory
-17.3MiB live, 28.9MiB allocated; 3ms collecting garbage
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New33813351
Fresh404
Picked415
Done011
Total34615361
Accuracy
100.0%
Counts
361 → 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)

simplify122.0ms (1.2%)

Memory
-18.6MiB live, 81.3MiB allocated; 60ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 b)
cost-diff0
(log1p.f64 (exp.f64 b))
cost-diff0
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
cost-diff0
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
cost-diff0
#s(approx (exp a) #s(literal 1 binary64))
cost-diff0
(+.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))))
cost-diff0
(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)))))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
cost-diff0
#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)))))
cost-diff0
#s(approx (exp a) #s(literal 1 binary64))
cost-diff0
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
cost-diff0
(+.f64 (exp.f64 a) #s(literal 1 binary64))
cost-diff0
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
cost-diff0
#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)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046223
063218
1113218
2314210
32102210
08692202
Stop Event
iter limit
node limit
iter limit
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(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)
b
(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 a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(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))
(exp.f64 b)
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 (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))))
#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)))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(-.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(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)
b
(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)))))
(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 #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 b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(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)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
b

localize83.0ms (0.8%)

Memory
3.9MiB live, 95.0MiB allocated; 5ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 b)
accuracy0.48802388501689253
(log1p.f64 (exp.f64 b))
accuracy2.4157753529773673
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
accuracy0.0078125
(+.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))))
accuracy0.7643412422314229
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
accuracy1.733651965935832
(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)))))
accuracy2.5295213359364235
#s(approx (exp a) #s(literal 1 binary64))
accuracy0.0
(log.f64 #s(literal 2 binary64))
accuracy0.00390625
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
accuracy0.6059209407019626
#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)))))
accuracy2.487762992812118
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
accuracy0.00390625
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
accuracy2.0220553920566355
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
accuracy2.5295213359364235
#s(approx (exp a) #s(literal 1 binary64))
accuracy0.00390625
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy0.00390625
(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy0.6059209407019626
#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)))))
accuracy29.555992488014112
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
Samples
29.0ms126×0valid
28.0ms125×0exit
6.0ms2valid
1.0ms1valid
Compiler

Compiled 137 to 36 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-exp: 11.0ms (22.7% of total)
ival-add: 9.0ms (18.6% of total)
ival-log: 9.0ms (18.6% of total)
ival-mult: 6.0ms (12.4% of total)
ival-div: 5.0ms (10.3% of total)
ival-log1p: 4.0ms (8.3% of total)
ival-neg: 2.0ms (4.1% of total)
adjust: 1.0ms (2.1% of total)
ival-sub: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series122.0ms (1.2%)

Memory
23.0MiB live, 165.0MiB allocated; 12ms collecting garbage
Counts
17 → 73
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)))
(+.f64 (exp.f64 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)))
(log.f64 #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)))
#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 (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (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 (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (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 (+ (* 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 (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 (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
32.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp 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)) (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b))
31.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp 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)) (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b))
30.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp 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)) (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (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)) (+ (exp 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)) (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b))
5.0ms
b
@0
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp 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)) (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b))

simplify142.0ms (1.4%)

Memory
-0.3MiB live, 134.4MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04292162
113591808
268431808
080761617
Stop Event
iter limit
node limit
Counts
73 → 73
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 (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (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 (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (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 (+ (* 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 (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 (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)))
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#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a)))
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#s(approx (exp a) (exp.f64 a))
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#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 #s(literal 1 binary64) b))
#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 (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))))) (log1p.f64 (exp.f64 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))))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 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))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64))) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64))) b (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)))) b (log1p.f64 (exp.f64 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))))) (* 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 (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 #s(literal -6 binary64) (fma.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1/6 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) #s(literal 2/3 binary64) (fma.f64 (exp.f64 a) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) (fma.f64 (exp.f64 a) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)) (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a))) (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) b) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64))) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64)))) b (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp b))) #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 (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))))

rewrite81.0ms (0.8%)

Memory
27.0MiB live, 72.8MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046195
063190
1258189
02131181
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
17 → 102
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)))
(+.f64 (exp.f64 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)))
(log.f64 #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)))
#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)))))
(/.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))
#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))
(log.f64 #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)))
#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))

eval21.0ms (0.2%)

Memory
-15.1MiB live, 30.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 5 639 to 803 computations (85.8% saved)

prune15.0ms (0.1%)

Memory
25.1MiB live, 25.1MiB allocated; 0ms collecting garbage
Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New1677174
Fresh178
Picked235
Done022
Total17019189
Accuracy
100.0%
Counts
189 → 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 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a)))))
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)

simplify130.0ms (1.3%)

Memory
-23.8MiB live, 119.4MiB allocated; 11ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
cost-diff0
(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)))
cost-diff0
#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))))
cost-diff0
#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)))))
cost-diff0
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
cost-diff0
#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))))
cost-diff0
#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)))))
cost-diff1
(fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64))
cost-diff1
(*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a))
cost-diff2
(-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64))
cost-diff2
(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))
cost-diff0
(*.f64 #s(literal 1/2 binary64) b)
cost-diff0
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
cost-diff0
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))
cost-diff0
#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))))
cost-diff0
(exp.f64 (neg.f64 b))
cost-diff0
(+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))
cost-diff0
(log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))))
cost-diff0
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055429
086409
1147409
2352402
31219397
44396397
08713376
Stop Event
iter limit
node limit
iter limit
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)
b
#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)
b
#s(literal 0 binary64)
(neg.f64 a)
a
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
a
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (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)
a
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a)))
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) (-.f64 (neg.f64 a) b))
(log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))))
(log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))))
(+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))
(+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))
(exp.f64 (neg.f64 b))
(neg.f64 b)
b
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
(neg.f64 (+.f64 b a))
(-.f64 (neg.f64 a) b)
(+.f64 b a)
(+.f64 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 (+ (/ 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)
b
#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))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (*.f64 b (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64))) 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)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (*.f64 b (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64))) 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)))
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (*.f64 b (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64))) 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 b (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64))) 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 b (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal 1/48 binary64) a) b)
(*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a))
(*.f64 (*.f64 #s(literal 1/48 binary64) a) b)
(fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64))
(*.f64 #s(literal -1/48 binary64) b)
#s(literal -1/48 binary64)
b
#s(literal 0 binary64)
(neg.f64 a)
a
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
a
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (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 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(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 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(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 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #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))
(fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64))
(*.f64 a a)
a
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize450.0ms (4.4%)

Memory
15.6MiB live, 475.4MiB allocated; 113ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
accuracy0.01953125
(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)))
accuracy1.9339748815071132
#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))))
accuracy2.0220553920566355
#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)))))
accuracy0.0
(log.f64 #s(literal 2 binary64))
accuracy0.015625
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
accuracy1.9477644929288143
#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))))
accuracy2.0220553920566355
#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)))))
accuracy0.1796875
(fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64))
accuracy0.6059209407019626
#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)))))
accuracy1.9343244439702834
#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)))
accuracy29.555992488014112
#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))))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) b)
accuracy0.6059209407019626
#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))))
accuracy2.2544018483724675
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
accuracy29.555992488014112
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))
accuracy0.0
(exp.f64 (neg.f64 a))
accuracy0.01171875
(+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))
accuracy1.267375423154535
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a)))
accuracy1.7104967082856346
(log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))))
Samples
331.0ms125×5exit
66.0ms124×0valid
6.0ms2valid
3.0ms1valid
Compiler

Compiled 264 to 54 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 328.0ms
adjust: 141.0ms (43% of total)
ival-log: 69.0ms (21.1% of total)
ival-mult: 30.0ms (9.2% of total)
ival-add: 28.0ms (8.5% of total)
ival-exp: 26.0ms (7.9% of total)
ival-div: 10.0ms (3.1% of total)
const: 10.0ms (3.1% of total)
ival-sub: 7.0ms (2.1% of total)
ival-neg: 4.0ms (1.2% of total)
ival-log1p: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series175.0ms (1.7%)

Memory
-6.5MiB live, 225.4MiB allocated; 106ms collecting garbage
Counts
25 → 114
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))
#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)
(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(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(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))
(exp.f64 (neg.f64 a))
#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)))
#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)))))
(log.f64 #s(literal 2 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 (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)) #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 (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 (- (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 (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)) #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 (exp (neg a)) #s(hole binary64 (exp (neg a))))
#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 (+ (* (+ (* 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 (exp (neg a)) #s(hole binary64 (exp (* -1 a))))
#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 (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)) #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 (- (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 (+ (/ 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 (+ (/ 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)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/48 (pow a 2)))))))
Calls

6 calls:

TimeVariablePointExpression
42.0ms
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)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 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) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (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) (exp (neg a)) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log 2))
41.0ms
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)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 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) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (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) (exp (neg a)) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log 2))
39.0ms
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)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 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) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (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) (exp (neg a)) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log 2))
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)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 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) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (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) (exp (neg a)) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log 2))
17.0ms
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)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 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) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (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) (exp (neg a)) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log 2))

simplify205.0ms (2%)

Memory
2.9MiB live, 166.2MiB allocated; 145ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05062754
112732684
244562658
083532414
Stop Event
iter limit
node limit
Counts
114 → 114
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 (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)) #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 (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 (- (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 (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)) #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 (exp (neg a)) #s(hole binary64 (exp (neg a))))
#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 (+ (* (+ (* 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 (exp (neg a)) #s(hole binary64 (exp (* -1 a))))
#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 (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)) #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 (- (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 (+ (/ 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 (+ (/ 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)) #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)))))
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#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)))) b) a) a a))
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#s(approx (exp (neg a)) (exp.f64 (neg.f64 a)))
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#s(approx (log (+ (exp (neg b)) (exp (neg a)))) (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))))
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#s(approx (+ (exp (neg b)) (exp (neg a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1/8 binary64)) (*.f64 a 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) a) (log 2)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1/8 binary64)) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))
#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) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (-.f64 #s(literal 1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))
#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 (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (-.f64 #s(literal 1/192 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (* -1 a))))
#s(approx (exp (neg a)) (exp.f64 (neg.f64 a)))
#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))) (+.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 (+ 1 (exp (neg a))))))))))
#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 (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)) #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 (- (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 (+ (/ 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 (+ (/ 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)) #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 b (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64))))

rewrite44.0ms (0.4%)

Memory
0.2MiB live, 47.4MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055361
086344
0347328
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
25 → 82
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))
#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)
(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(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(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))
(exp.f64 (neg.f64 a))
#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)))
#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)))))
(log.f64 #s(literal 2 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))))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 b))) (*.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 a)))) (-.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 b)) (-.f64 (*.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 a))) (*.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))))))
(+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))
(+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (exp.f64 b))
(-.f64 (cosh.f64 b) (sinh.f64 b))
(exp.f64 (neg.f64 b))
(+.f64 (cosh.f64 (neg.f64 b)) (sinh.f64 (neg.f64 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 (+ (/ 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)
(*.f64 b #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a) (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a)) (*.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) b))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a) (*.f64 #s(literal -1/4 binary64) b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a) (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a) (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) b)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a) (*.f64 #s(literal -1/4 binary64) b)))))
(fma.f64 #s(literal -1/4 binary64) b (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a))
(fma.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a (*.f64 #s(literal -1/4 binary64) b))
(fma.f64 a (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) (*.f64 #s(literal -1/4 binary64) b))
(fma.f64 b #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a) (*.f64 #s(literal 1/4 binary64) b))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a))
(*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a))
(*.f64 (neg.f64 a) (*.f64 #s(literal -1/48 binary64) b))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a))) #s(literal 0 binary64)) (fma.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a) #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) #s(literal 0 binary64)))))
(neg.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) a))
(-.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a))
(*.f64 (neg.f64 a) (*.f64 #s(literal -1/48 binary64) b))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a))) #s(literal 0 binary64)) (fma.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a) #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) #s(literal 0 binary64)))))
(neg.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) a))
(-.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) #s(literal 0 binary64))
(*.f64 #s(literal -1/48 binary64) b)
(*.f64 b #s(literal -1/48 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (*.f64 #s(literal -1/48 binary64) b)) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal -1/48 binary64) b) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/48 binary64) b) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 #s(literal -1/48 binary64) b) (*.f64 #s(literal -1/48 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/48 binary64) b) #s(literal 0 binary64)))))
(fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64))
(fma.f64 b #s(literal -1/48 binary64) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal -1/48 binary64) b) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/48 binary64) b))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 a (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) a) (*.f64 #s(literal 1/8 binary64) a)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) a) (*.f64 #s(literal 1/8 binary64) a) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) a))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 a (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(-.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 (neg.f64 a))
(+.f64 (cosh.f64 (neg.f64 a)) (sinh.f64 (neg.f64 a)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) 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 #s(literal -1/48 binary64) b) (neg.f64 a)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))))
(log.f64 #s(literal 2 binary64))

eval28.0ms (0.3%)

Memory
-2.1MiB live, 42.6MiB allocated; 7ms collecting garbage
Compiler

Compiled 6 269 to 924 computations (85.3% saved)

prune19.0ms (0.2%)

Memory
-12.0MiB live, 34.6MiB allocated; 4ms collecting garbage
Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New1757182
Fresh549
Picked235
Done145
Total18318201
Accuracy
100.0%
Counts
201 → 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 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) 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 546 computations (55.4% saved)

regimes71.0ms (0.7%)

Memory
15.1MiB live, 70.4MiB allocated; 6ms 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 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#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:

30.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
9.0ms
b
9.0ms
a
7.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(exp.f64 a)
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)

regimes54.0ms (0.5%)

Memory
10.2MiB live, 57.3MiB allocated; 2ms 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 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#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:

15.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms
b
9.0ms
a
7.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
7.0ms
(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)

regimes27.0ms (0.3%)

Memory
-22.2MiB live, 24.5MiB allocated; 2ms 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 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#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:

17.0ms
(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 (0.1%)

Memory
30.1MiB live, 30.1MiB 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 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a)))))
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)

regimes29.0ms (0.3%)

Memory
0.8MiB live, 45.4MiB allocated; 4ms 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 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) 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:

11.0ms
a
6.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms
(exp.f64 a)
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)

regimes17.0ms (0.2%)

Memory
-24.1MiB live, 26.6MiB allocated; 4ms 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 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) 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:

10.0ms
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)

regimes11.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms 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 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) 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:

6.0ms
a
4.0ms
(exp.f64 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
13.4MiB live, 13.4MiB 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)

regimes34.0ms (0.3%)

Memory
-29.8MiB live, 17.3MiB allocated; 1ms 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:

25.0ms
a
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
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
8.2MiB live, 8.2MiB 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
7.6MiB live, 7.6MiB 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)

regimes27.0ms (0.3%)

Memory
-26.5MiB live, 20.7MiB allocated; 1ms 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:

16.0ms
(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
34.8MiB live, 34.8MiB 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 (41.6% of total)
ival-log: 4.0ms (33.3% of total)
adjust: 2.0ms (16.6% of total)
ival-add: 1.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
-22.4MiB live, 21.8MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-20.29548152868699
-9.726324856631733
Samples
14.0ms75×1valid
0.0ms0valid
Compiler

Compiled 169 to 146 computations (13.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-log: 7.0ms (57.6% of total)
ival-exp: 3.0ms (24.7% of total)
adjust: 2.0ms (16.5% of total)
ival-add: 1.0ms (8.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB 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
1.2MiB live, 1.2MiB 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
1.3MiB live, 1.3MiB 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
19.3MiB live, 19.3MiB 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 (63.9% 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)

bsearch11.0ms (0.1%)

Memory
-40.4MiB live, 12.9MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
-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 (28.4% of total)
ival-log: 1.0ms (28.4% 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)

bsearch11.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
-1.8854146075399958
-0.026395039700642463
Samples
6.0ms112×0valid
Compiler

Compiled 240 to 214 computations (10.8% saved)

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

bsearch7.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB 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 (49.1% of total)
ival-log: 1.0ms (49.1% 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
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 144 to 131 computations (9% saved)

simplify48.0ms (0.5%)

Memory
13.1MiB live, 59.9MiB allocated; 2ms 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)

derivations445.0ms (4.3%)

Memory
-20.5MiB live, 311.6MiB allocated; 34ms collecting garbage
Stop Event
fuel
Compiler

Compiled 376 to 98 computations (73.9% saved)

preprocess67.0ms (0.6%)

Memory
12.5MiB live, 103.3MiB allocated; 9ms 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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