symmetry log of sum of exp

Time bar (total: 10.3s)

start0.0ms (0%)

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

analyze133.0ms (1.3%)

Memory
0.1MiB live, 184.8MiB allocated; 21ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
50%50%50%0.1%0%0%0%5
50%50%50%0.1%0%0%0%6
50%50%50%0.1%0%0%0%7
50%50%50%0.1%0%0%0%8
50%50%50%0.1%0%0%0%9
50%50%50%0.1%0%0%0%10
50%50%50%0.1%0%0%0%11
50%50%50%0.1%0%0%0%12
Compiler

Compiled 8 to 8 computations (0% saved)

sample5.8s (56%)

Memory
124.3MiB live, 5 608.8MiB allocated; 2.0s collecting garbage
Samples
2.6s7 789×5exit
1.1s1 560×2valid
522.0ms2 409×1valid
254.0ms4 287×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.5s
ival-log: 1.2s (33.8% of total)
ival-exp: 1.2s (33.4% of total)
adjust: 879.0ms (24.8% of total)
ival-add: 263.0ms (7.4% of total)
ival-true: 15.0ms (0.4% of total)
ival-assert: 9.0ms (0.3% of total)
Bogosity

explain170.0ms (1.7%)

Memory
14.8MiB live, 157.7MiB allocated; 11ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1250-0-(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)))sensitivity1171
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))oflow-rescue50
↳(+.f64 (exp.f64 a) (exp.f64 b))overflow5
↳(exp.f64 a)overflow2
↳(exp.f64 b)overflow3
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))uflow-rescue30
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow3
↳(exp.f64 a)underflow62
↳(exp.f64 b)underflow63
Confusion
Predicted +Predicted -
+1250
-0131
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12500
-01130
Precision?
0.9920634920634921
Recall?
1.0
Freqs
test
numberfreq
0131
1125
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
46.0ms88×2valid
45.0ms282×0valid
30.0ms142×1valid
Compiler

Compiled 44 to 22 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-log: 36.0ms (50.1% of total)
ival-exp: 24.0ms (33.4% of total)
adjust: 7.0ms (9.7% of total)
ival-add: 4.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess176.0ms (1.7%)

Memory
32.7MiB live, 168.3MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 6 to 6 computations (0% saved)

simplify159.0ms (1.5%)

Memory
2.4MiB live, 145.0MiB allocated; 12ms 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
1×iter limit
1×node limit
1×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

localize138.0ms (1.3%)

Memory
-27.7MiB live, 70.3MiB allocated; 8ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 b)
accuracy0.0
(exp.f64 a)
accuracy0.01953125
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy29.180498913664785
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
90.0ms44×2valid
25.0ms141×0valid
18.0ms71×1valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-log: 86.0ms (81% of total)
ival-exp: 15.0ms (14.1% of total)
adjust: 3.0ms (2.8% of total)
ival-add: 2.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series82.0ms (0.8%)

Memory
19.3MiB live, 108.0MiB allocated; 9ms 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
29.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
20.0ms
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))
14.0ms
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))

simplify168.0ms (1.6%)

Memory
-15.3MiB live, 168.0MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127518
1345518
21260514
35625514
08760468
Stop Event
1×iter limit
1×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))

rewrite138.0ms (1.3%)

Memory
43.0MiB live, 140.9MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval39.0ms (0.4%)

Memory
-34.4MiB live, 56.7MiB allocated; 7ms collecting garbage
Compiler

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

prune8.0ms (0.1%)

Memory
26.1MiB live, 26.1MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2997306
Fresh000
Picked011
Done000
Total2998307
Accuracy
98.7%
Counts
307 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
52.6%
(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)))))
52.3%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶51.6%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
▶51.5%
(log.f64 #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)))))
▶96.7%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
▶51.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶50.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
Compiler

Compiled 196 to 162 computations (17.3% saved)

simplify115.0ms (1.1%)

Memory
7.2MiB live, 104.7MiB allocated; 9ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))
cost-diff0
#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))))
cost-diff0
(log.f64 #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)))))
cost-diff0
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
cost-diff0
(exp.f64 a)
cost-diff0
(+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))
cost-diff0
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
cost-diff0
(exp.f64 b)
cost-diff0
(log1p.f64 (exp.f64 b))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (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: 0 (0.0ms)

IterNodesCost
028168
046168
165168
2131168
3392168
41561168
08135168
Stop Event
1×iter limit
1×node limit
1×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
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
b
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))
(exp.f64 a)
a
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
(-.f64 b #s(literal -1 binary64))
b
#s(literal -1 binary64)
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
a
#s(literal 1 binary64)
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
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
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
b
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) (exp.f64 a)))
(+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))
(+.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) (exp.f64 a))
(exp.f64 a)
a
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
(-.f64 b #s(literal -1 binary64))
b
#s(literal -1 binary64)
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
a
#s(literal 1 binary64)
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)

localize127.0ms (1.2%)

Memory
-14.3MiB live, 174.5MiB allocated; 12ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 b)
accuracy0.015625
(-.f64 (exp.f64 b) #s(literal -1 binary64))
accuracy29.180498913664785
(log.f64 #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)))))
accuracy29.320568159986127
#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))))
accuracy0.0
(exp.f64 a)
accuracy0.01953125
(+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))
accuracy3.8353644965845857
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
accuracy29.180498913664785
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
accuracy0.0
(exp.f64 b)
accuracy1.2143100339303323
(log1p.f64 (exp.f64 b))
accuracy29.87921540726569
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
accuracy0.0
(exp.f64 a)
accuracy0.0078125
(log1p.f64 (exp.f64 a))
accuracy31.492713266990737
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
accuracy0.00390625
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
accuracy0.0078125
(-.f64 (exp.f64 a) #s(literal -1 binary64))
accuracy0.0078125
(log1p.f64 (exp.f64 a))
accuracy2.0857372473573323
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
Samples
43.0ms44×2valid
34.0ms71×1valid
22.0ms141×0valid
Compiler

Compiled 128 to 22 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
adjust: 21.0ms (27.1% of total)
ival-log: 19.0ms (24.5% of total)
ival-exp: 12.0ms (15.5% of total)
ival-add: 7.0ms (9% of total)
ival-log1p: 6.0ms (7.7% of total)
ival-sub: 5.0ms (6.5% of total)
ival-mult: 4.0ms (5.2% of total)
ival-div: 2.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series136.0ms (1.3%)

Memory
-0.6MiB live, 184.5MiB allocated; 42ms collecting garbage
Counts
18 → 77
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)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (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 (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (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 (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 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))))))))
Calls

6 calls:

TimeVariablePointExpression
39.0ms
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))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) (- (exp b) -1))
36.0ms
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))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) (- (exp b) -1))
27.0ms
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))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) (- (exp b) -1))
27.0ms
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))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) (- (exp b) -1))
4.0ms
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))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) (- (exp b) -1))

simplify148.0ms (1.4%)

Memory
31.7MiB live, 215.7MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02961418
17941392
229661379
088391198
Stop Event
1×iter limit
1×node limit
Counts
77 → 77
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 (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (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 (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 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))))))))
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 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (log1p.f64 (exp.f64 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) a #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (- (exp a) -1)) (*.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 (- (* 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 #s(literal -1/4 binary64) b (*.f64 (*.f64 (*.f64 #s(literal 1/48 binary64) b) a) a)) 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 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 (+ (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 (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (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 (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* 1/2 a) 1) (fma.f64 #s(literal 1/2 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 (+ (/ 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)) (log (+ 1 (exp a)))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (/ b (- (exp a) -1)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (- (exp a) -1) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a)))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (exp a) (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 (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (*.f64 a (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) a) a)) a #s(literal 1 binary64))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (+ (* 1/2 a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) a) #s(literal -1 binary64) #s(literal -1 binary64)) a)) a) 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 (/.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 1/2 binary64) b) (/.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 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 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 (+ (/ 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 (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 (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 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 b (exp.f64 a)) #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 (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 b #s(literal -2 binary64))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) (-.f64 b #s(literal -2 binary64)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 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 (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ 1 (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (exp b) -1) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#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 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))

rewrite77.0ms (0.8%)

Memory
-14.0MiB live, 69.8MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028143
046143
1172143
01399143
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
18 → 160
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)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))
(fma.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (log1p.f64 (exp.f64 a)))
(-.f64 (/.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
(*.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (+.f64 #s(literal -1 binary64) (exp.f64 a)))
(*.f64 (/.f64 b (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 b) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 b) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(neg.f64 (/.f64 b (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal 1 binary64))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(-.f64 (/.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 #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 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
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(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))
(+.f64 (cosh.f64 b) (-.f64 (sinh.f64 b) #s(literal -1 binary64)))
(+.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))

eval37.0ms (0.4%)

Memory
8.1MiB live, 54.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 7 246 to 1 246 computations (82.8% saved)

prune31.0ms (0.3%)

Memory
-20.9MiB live, 30.8MiB allocated; 19ms collecting garbage
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New30012312
Fresh202
Picked325
Done101
Total30614320
Accuracy
98.7%
Counts
320 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
▶65.8%
#s(approx (log (+ (exp a) (exp b))) (/.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)))))
✓51.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓50.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
49.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶49.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
▶48.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
47.6%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
▶49.8%
#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)))))
50.7%
#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)))))
49.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
▶50.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
48.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
48.8%
#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 536 to 394 computations (26.5% saved)

simplify148.0ms (1.4%)

Memory
44.5MiB live, 135.0MiB allocated; 9ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
cost-diff0
#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))))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
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
(-.f64 b #s(literal -1 binary64))
cost-diff0
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
cost-diff0
(log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
cost-diff0
#s(approx (exp b) #s(literal 1 binary64))
cost-diff0
(log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
cost-diff0
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
cost-diff0
(+.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)))
cost-diff0
(/.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))))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (/.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)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046324
073324
1109324
2221324
3621324
42361324
09254320
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (/.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)))))
(/.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))))
(+.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)))
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
#s(literal 3 binary64)
(pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
(-.f64 b #s(literal -1 binary64))
b
#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)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
b
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (log (+ (exp a) (exp b))) (/.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)))))
#s(approx (log (+ (exp a) (exp b))) (/.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.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))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))
(+.f64 (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 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
#s(literal 3 binary64)
(pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))
(-.f64 (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))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
(-.f64 b #s(literal -1 binary64))
b
#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)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
b
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize169.0ms (1.6%)

Memory
-8.0MiB live, 180.0MiB allocated; 13ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log.f64 #s(literal 2 binary64))
accuracy0.01953125
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
accuracy3.035241313155144
#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))))
accuracy29.87921540726569
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
accuracy0.0
(log.f64 #s(literal 2 binary64))
accuracy0.01171875
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
accuracy2.0857372473573323
#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)))))
accuracy30.04991744938062
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
accuracy0.0
(-.f64 b #s(literal -1 binary64))
accuracy1.2143100339303323
(log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))
accuracy3.8353644965845857
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
accuracy29.87921540726569
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
accuracy1.2143100339303323
(log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))
accuracy4.405778249545201
#s(approx (exp b) #s(literal 1 binary64))
accuracy29.87921540726569
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
accuracy0.4609375
(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)))
accuracy0.510097509768442
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
accuracy2.0857372473573323
#s(approx (log (+ (exp a) (exp b))) (/.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)))))
accuracy19.62756587487677
(/.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))))
Samples
49.0ms44×2valid
46.0ms71×1valid
33.0ms141×0valid
Compiler

Compiled 245 to 35 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-log: 23.0ms (22.4% of total)
adjust: 20.0ms (19.5% of total)
ival-exp: 12.0ms (11.7% of total)
ival-add: 11.0ms (10.7% of total)
ival-pow: 9.0ms (8.8% of total)
ival-mult: 7.0ms (6.8% of total)
ival-log1p: 6.0ms (5.8% of total)
ival-sub: 5.0ms (4.9% of total)
ival-div: 4.0ms (3.9% of total)
ival-pow2: 4.0ms (3.9% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series163.0ms (1.6%)

Memory
-13.7MiB live, 172.4MiB allocated; 54ms collecting garbage
Counts
20 → 88
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (/.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)))))
(/.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))))
(+.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)))
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
(-.f64 b #s(literal -1 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(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))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
(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)))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (/ (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 1/2 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (/ (* (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 1/2 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/4 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* -3/2 (/ (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 9/64 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (+ 1/2 (* 1/4 b))) (+ (* 1/2 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (* (log 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2)))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (+ (/ (* (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))) (/ (* (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 1/2 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (/ (* (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))))) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (/ (* (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (+ (* 1/8 (pow b 3)) (pow (log 2) 3))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (* 3/16 (pow b 3)))) (pow (log 2) 3)))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (+ (* a (- (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (pow (log 2) 2))) (* 3/16 (pow b 3)))) (pow (log 2) 3)))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (+ (* a (- (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (- (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (+ (* -3/2 (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3)))) (+ (* -9/32 (pow b 3)) (* 9/64 (pow b 3)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (pow (log 2) 2))) (* 3/16 (pow b 3)))) (pow (log 2) 3)))))
#s(approx (pow (log (+ 1 (exp a))) 3) #s(hole binary64 (pow (log 2) 3)))
#s(approx (pow (log (+ 1 (exp a))) 3) #s(hole binary64 (+ (* a (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))))
#s(approx (pow (log (+ 1 (exp a))) 3) #s(hole binary64 (+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))))
#s(approx (pow (log (+ 1 (exp a))) 3) #s(hole binary64 (+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (+ (* 1/4 (pow b 2)) (+ (* a (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (* (log 2) (- (log 2) (* 1/2 b)))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (+ (* 1/4 (pow b 2)) (+ (* a (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (+ (* a (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* (log 2) (+ 1/2 (* 1/4 b))))) (* 1/4 (pow b 2)))) (* (log 2) (- (log 2) (* 1/2 b)))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (+ (* 1/4 (pow b 2)) (+ (* a (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (+ (* a (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (+ (* a (- (+ (* 1/8 (+ 1/2 (* 1/4 b))) (+ (* 1/2 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (* (log 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2)))))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* (log 2) (+ 1/2 (* 1/4 b))))) (* 1/4 (pow b 2)))) (* (log 2) (- (log 2) (* 1/2 b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (/ (pow b 2) (pow (+ 1 (exp a)) 2))))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))))
#s(approx (pow (log (+ 1 (exp a))) 3) #s(hole binary64 (pow (log (+ 1 (exp a))) 3)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (/ (pow b 2) (pow (+ 1 (exp a)) 2)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (pow (log (+ 1 (exp a))) 3)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (- b -1) #s(hole binary64 1))
#s(approx (- b -1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (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 (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 b))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (pow (log (+ 1 (exp a))) 2)))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (+ (* -1 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (+ (* b (+ (* -1 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (/ b (pow (+ 1 (exp a)) 2)))) (pow (log (+ 1 (exp a))) 2))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (* b (- (+ (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (pow b 2))) (/ 1 (+ 1 (exp a)))) (* -1 (/ (log (+ 1 (exp a))) b))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (* b (- (+ (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (pow b 3))) (/ 1 (+ 1 (exp a)))) (+ (* -1 (/ (log (+ 1 (exp a))) b)) (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))))))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (/ (pow b 3) (pow (+ 1 (exp a)) 3))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (* (pow b 3) (+ (/ 1 (pow (+ 1 (exp a)) 3)) (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (- b -1) #s(hole binary64 b))
#s(approx (- b -1) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ 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 (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* 1/8 (pow b 2))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* 1/8 b)))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* b (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (/ (pow b 2) (pow (+ 1 (exp a)) 2))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (/ 1 (pow (+ 1 (exp a)) 2))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (pow (log (+ 1 (exp a))) 2) (pow b 2)))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) b)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))) (/ 1 (pow (+ 1 (exp a)) 3)))))))
#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 (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp a))) 2) b)) (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) b)) (/ 1 (pow (+ 1 (exp a)) 2))))))
Calls

6 calls:

TimeVariablePointExpression
74.0ms
b
@0
((log (+ (exp a) (exp b))) (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (pow (log (+ 1 (exp a))) 3) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (- b -1) (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))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)))
21.0ms
b
@inf
((log (+ (exp a) (exp b))) (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (pow (log (+ 1 (exp a))) 3) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (- b -1) (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))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)))
21.0ms
a
@inf
((log (+ (exp a) (exp b))) (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (pow (log (+ 1 (exp a))) 3) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (- b -1) (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))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)))
19.0ms
b
@-inf
((log (+ (exp a) (exp b))) (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (pow (log (+ 1 (exp a))) 3) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (- b -1) (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))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)))
18.0ms
a
@-inf
((log (+ (exp a) (exp b))) (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (pow (log (+ 1 (exp a))) 3) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (- b -1) (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))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)))

simplify188.0ms (1.8%)

Memory
41.8MiB live, 222.4MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05334957
115824551
267944408
086773783
Stop Event
1×iter limit
1×node limit
Counts
88 → 88
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 (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (/ (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 1/2 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (/ (* (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))
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(pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (+ (* 1/8 (pow b 3)) (pow (log 2) 3))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (* 3/16 (pow b 3)))) (pow (log 2) 3)))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (+ (* a (- (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (pow (log 2) 2))) (* 3/16 (pow b 3)))) (pow (log 2) 3)))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (+ (* a (- (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (- (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (+ (* -3/2 (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3)))) (+ (* -9/32 (pow b 3)) (* 9/64 (pow b 3)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (pow (log 2) 2))) (* 3/16 (pow b 3)))) (pow (log 2) 3)))))
#s(approx (pow (log (+ 1 (exp a))) 3) #s(hole binary64 (pow (log 2) 3)))
#s(approx (pow (log (+ 1 (exp a))) 3) #s(hole binary64 (+ (* a (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))))
#s(approx (pow (log (+ 1 (exp a))) 3) #s(hole binary64 (+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))))
#s(approx (pow (log (+ 1 (exp a))) 3) #s(hole binary64 (+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (+ (* 1/4 (pow b 2)) (+ (* a (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (* (log 2) (- (log 2) (* 1/2 b)))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (+ (* 1/4 (pow b 2)) (+ (* a (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (+ (* a (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* (log 2) (+ 1/2 (* 1/4 b))))) (* 1/4 (pow b 2)))) (* (log 2) (- (log 2) (* 1/2 b)))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (+ (* 1/4 (pow b 2)) (+ (* a (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (+ (* a (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (+ (* a (- (+ (* 1/8 (+ 1/2 (* 1/4 b))) (+ (* 1/2 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (* (log 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2)))))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* (log 2) (+ 1/2 (* 1/4 b))))) (* 1/4 (pow b 2)))) (* (log 2) (- (log 2) (* 1/2 b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (/ (pow b 2) (pow (+ 1 (exp a)) 2))))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))))
#s(approx (pow (log (+ 1 (exp a))) 3) #s(hole binary64 (pow (log (+ 1 (exp a))) 3)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (/ (pow b 2) (pow (+ 1 (exp a)) 2)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (pow (log (+ 1 (exp a))) 3)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (- b -1) #s(hole binary64 1))
#s(approx (- b -1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (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 (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 b))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (pow (log (+ 1 (exp a))) 2)))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (+ (* -1 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (+ (* b (+ (* -1 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (/ b (pow (+ 1 (exp a)) 2)))) (pow (log (+ 1 (exp a))) 2))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (* b (- (+ (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (pow b 2))) (/ 1 (+ 1 (exp a)))) (* -1 (/ (log (+ 1 (exp a))) b))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (* b (- (+ (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (pow b 3))) (/ 1 (+ 1 (exp a)))) (+ (* -1 (/ (log (+ 1 (exp a))) b)) (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))))))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (/ (pow b 3) (pow (+ 1 (exp a)) 3))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (* (pow b 3) (+ (/ 1 (pow (+ 1 (exp a)) 3)) (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (- b -1) #s(hole binary64 b))
#s(approx (- b -1) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ 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 (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* 1/8 (pow b 2))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* 1/8 b)))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* b (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (/ (pow b 2) (pow (+ 1 (exp a)) 2))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (/ 1 (pow (+ 1 (exp a)) 2))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (pow (log (+ 1 (exp a))) 2) (pow b 2)))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) b)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))) (/ 1 (pow (+ 1 (exp a)) 3)))))))
#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 (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp a))) 2) b)) (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) b)) (/ 1 (pow (+ 1 (exp a)) 2))))))
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))))))
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#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (+ (* 1/8 (pow b 3)) (pow (log 2) 3))))
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#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 (+ (* 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 (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* 1/8 (pow b 2))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal -1/2 binary64)) b) #s(literal -1/8 binary64)) b) b))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* 1/8 b)))
#s(approx (+ (* 1/8 b) 1/2) (*.f64 #s(literal 1/8 binary64) b))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* b (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* 1/8 b) 1/2) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (/ (pow b 2) (pow (+ 1 (exp a)) 2))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) (*.f64 (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) b))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (/ 1 (pow (+ 1 (exp a)) 2))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) (*.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b b)))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (pow (log (+ 1 (exp a))) 2) (pow b 2)))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) (*.f64 (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 b b)) (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 b b)))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (*.f64 (neg.f64 b) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 (exp.f64 a)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) b)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (fma.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (neg.f64 (fma.f64 #s(literal 0 binary64) (exp.f64 a) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1 binary64) (log1p.f64 (exp.f64 a))) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))) (/ 1 (pow (+ 1 (exp a)) 3)))))))
#s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))))
#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 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
#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 (neg.f64 b) (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal -1 binary64) #s(literal -1/2 binary64))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal -1 binary64) #s(literal -1/2 binary64)) b)) b) b))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp a))) 2) b)) (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) b)) (/ 1 (pow (+ 1 (exp a)) 2))))))
#s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) b) #s(literal -1 binary64) (/.f64 (log1p.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 b b)))

rewrite100.0ms (1%)

Memory
-11.1MiB live, 87.0MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046266
073266
1279212
02203208
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
20 → 181
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (/.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)))))
(/.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))))
(+.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)))
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
(-.f64 b #s(literal -1 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(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))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
(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)))
Outputs
#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 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 4 binary64)))) (-.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a))) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a)))) (pow.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))))
(*.f64 (fma.f64 (/.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))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))))
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(fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))
(fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a))))
(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 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a))) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a))) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a))) (*.f64 (neg.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (log1p.f64 (exp.f64 a))))
(-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a)))) (pow.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 6 binary64)) (fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a)))) (pow.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a))) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a))))

eval38.0ms (0.4%)

Memory
16.7MiB live, 61.4MiB allocated; 7ms collecting garbage
Compiler

Compiled 14 109 to 1 257 computations (91.1% saved)

prune22.0ms (0.2%)

Memory
-8.4MiB live, 37.4MiB allocated; 5ms collecting garbage
Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New25510265
Fresh167
Picked145
Done022
Total25722279
Accuracy
98.7%
Counts
279 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.1%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
▶59.8%
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 a))))
57.9%
#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 6 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 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))))
18.1%
#s(approx (log (+ (exp a) (exp b))) (/.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))) #s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) (*.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b b)))))
✓51.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓50.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
49.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
✓49.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
48.0%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
✓48.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
▶47.6%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
49.8%
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) b) b (*.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))))))
50.7%
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
✓49.8%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
▶49.8%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))))
▶12.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
49.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
✓50.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
11.7%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
5.3%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))))
48.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
48.8%
#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 1 204 to 769 computations (36.1% saved)

simplify139.0ms (1.3%)

Memory
0.9MiB live, 142.9MiB allocated; 24ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))
cost-diff0
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.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)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))))
cost-diff1
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64))))
cost-diff0
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
cost-diff0
(-.f64 a #s(literal -1 binary64))
cost-diff0
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
cost-diff0
(log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) b)
cost-diff0
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))
cost-diff0
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
cost-diff0
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 a))))
cost-diff1
(pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64))
cost-diff8
(fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 a)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053393
081376
1134372
2314372
3986372
43664372
08153363
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 a))))
(fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 a)))
(pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
a
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(log1p.f64 (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
(log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
a
#s(literal 1 binary64)
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
b
#s(literal 3 binary64)
#s(literal 1/8 binary64)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))
(*.f64 b b)
#s(literal 1/4 binary64)
(*.f64 (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 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
Outputs
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 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)))))
(fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (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 1/2 binary64))
(sqrt.f64 (/.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(literal 1/2 binary64)
(log1p.f64 (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
(log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
a
#s(literal 1 binary64)
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.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 (*.f64 #s(literal 1/4 binary64) b) b (*.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.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 (*.f64 #s(literal 1/4 binary64) b) b (*.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))
(/.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 (*.f64 #s(literal 1/4 binary64) b) b (*.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(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)))
(pow.f64 b #s(literal 3 binary64))
b
#s(literal 3 binary64)
#s(literal 1/8 binary64)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) b) b (*.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
(*.f64 b b)
#s(literal 1/4 binary64)
(*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)

localize191.0ms (1.9%)

Memory
-4.8MiB live, 191.2MiB allocated; 116ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.5859375
(*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
accuracy0.6328125
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy2.0857372473573323
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))))
accuracy14.527082413937858
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))))
accuracy0.0
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
accuracy3.256164773962118
#s(approx (- (exp b) -1) #s(literal 2 binary64))
accuracy14.197417734237263
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64))))
accuracy14.732936220393638
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
accuracy0.0
(-.f64 a #s(literal -1 binary64))
accuracy0.0
(log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))
accuracy14.855327925863469
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
accuracy16.512600664270476
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) b)
accuracy2.0857372473573323
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
accuracy14.527082413937858
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))
accuracy37.52509612478259
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))
accuracy0.0
(exp.f64 a)
accuracy0.00390625
(pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64))
accuracy0.140625
(fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 a)))
accuracy2.0857372473573323
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 a))))
Samples
66.0ms94×0invalid
34.0ms22×2valid
26.0ms105×0valid
23.0ms35×1valid
Compiler

Compiled 248 to 41 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-pow: 16.0ms (18.8% of total)
ival-log: 14.0ms (16.4% of total)
adjust: 12.0ms (14.1% of total)
ival-mult: 12.0ms (14.1% of total)
ival-add: 11.0ms (12.9% of total)
ival-exp: 6.0ms (7% of total)
ival-sub: 6.0ms (7% of total)
ival-div: 4.0ms (4.7% of total)
ival-sqrt: 2.0ms (2.3% of total)
ival-log1p: 2.0ms (2.3% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (0.8%)

Memory
-23.4MiB live, 120.9MiB allocated; 30ms collecting garbage
Counts
24 → 107
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 a)))
(pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 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)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
(log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))
(exp.f64 a)
#s(approx (- (exp b) -1) #s(literal 2 binary64))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
Outputs
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (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 (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (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 (pow (/ b (- (exp a) -1)) 1/2) #s(hole binary64 (* (sqrt b) (sqrt 1/2))))
#s(approx (pow (/ b (- (exp a) -1)) 1/2) #s(hole binary64 (+ (* -1/8 (* (/ a (sqrt 1/2)) (sqrt b))) (* (sqrt b) (sqrt 1/2)))))
#s(approx (pow (/ b (- (exp a) -1)) 1/2) #s(hole binary64 (+ (* a (+ (* -1/2 (* (/ (* a (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b)))) (sqrt 1/2)) (sqrt (/ 1 b)))) (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))))) (* (sqrt b) (sqrt 1/2)))))
#s(approx (pow (/ b (- (exp a) -1)) 1/2) #s(hole binary64 (+ (* a (+ (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))) (* a (+ (* -1/2 (* (sqrt (/ 1 b)) (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (sqrt 1/2)))) (* -1/2 (* (/ (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (+ (* 1/24 b) (* 1/8 (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 b)))))))) (* (sqrt b) (sqrt 1/2)))))
#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)) #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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 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 (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (pow (/ b (- (exp a) -1)) 1/2) #s(hole binary64 (sqrt (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (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 (+ (/ 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 (* 1/2 b) #s(hole binary64 (* 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 (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (log 2) (* 1/2 b)) #s(hole binary64 (log 2)))
#s(approx (- (log 2) (* 1/2 b)) #s(hole binary64 (+ (log 2) (* -1/2 b))))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (log 2)))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) #s(hole binary64 (pow (log 2) 2)))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) #s(hole binary64 (+ (* -1/2 (* b (log 2))) (pow (log 2) 2))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (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)))) #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 (- (log 2) (* 1/2 b)) #s(hole binary64 (* -1/2 b)))
#s(approx (- (log 2) (* 1/2 b)) #s(hole binary64 (* b (- (/ (log 2) b) 1/2))))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (* 1/2 b)))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (* b (- (+ 1/2 (* -1 (/ (+ (* -2 (pow (log 2) 2)) (* 2 (pow (log 2) 2))) (pow b 2)))) (* -1 (/ (log 2) b))))))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (* b (- (+ 1/2 (* -2 (/ (* (log 2) (+ (* -2 (pow (log 2) 2)) (* 2 (pow (log 2) 2)))) (pow b 3)))) (+ (* -2 (/ (pow (log 2) 2) (pow b 2))) (+ (* -1 (/ (log 2) b)) (* 2 (/ (pow (log 2) 2) (pow b 2)))))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) #s(hole binary64 (* -1/2 (* b (log 2)))))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) #s(hole binary64 (* b (+ (* -1/2 (log 2)) (/ (pow (log 2) 2) b)))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (/ (* b (pow (sqrt -1) 2)) (+ 1 (exp a))))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ (pow (sqrt -1) 2) (+ 1 (exp a))))))))
#s(approx (pow (/ b (- (exp a) -1)) 1/2) #s(hole binary64 (* -1 (* (sqrt (/ b (+ 1 (exp a)))) (pow (sqrt -1) 2)))))
#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 2) (* 1/2 b)) #s(hole binary64 (* -1 (* b (+ 1/2 (* -1 (/ (log 2) b)))))))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (+ (* -2 (/ (pow (log 2) 2) b)) (* 2 (/ (pow (log 2) 2) b))) (* -1 (log 2))) b)) 1/2)))))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (* (log 2) (+ (* -2 (pow (log 2) 2)) (* 2 (pow (log 2) 2)))) b)) (+ (* -2 (pow (log 2) 2)) (* 2 (pow (log 2) 2)))) b)) (* -1 (log 2))) b)) 1/2)))))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (pow (log 2) 2) b)) (* 1/2 (log 2)))))))
Calls

6 calls:

TimeVariablePointExpression
22.0ms
a
@inf
((+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) (pow (/ b (- (exp a) -1)) 1/2) (log (+ (exp a) (exp b))) (/ b (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (- a -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) (- (log 2) (* 1/2 b)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) (exp a) (- (exp b) -1) (pow (log 2) 3) (* (log 2) (- (log 2) (* 1/2 b))))
15.0ms
b
@inf
((+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) (pow (/ b (- (exp a) -1)) 1/2) (log (+ (exp a) (exp b))) (/ b (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (- a -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) (- (log 2) (* 1/2 b)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) (exp a) (- (exp b) -1) (pow (log 2) 3) (* (log 2) (- (log 2) (* 1/2 b))))
14.0ms
a
@-inf
((+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) (pow (/ b (- (exp a) -1)) 1/2) (log (+ (exp a) (exp b))) (/ b (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (- a -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) (- (log 2) (* 1/2 b)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) (exp a) (- (exp b) -1) (pow (log 2) 3) (* (log 2) (- (log 2) (* 1/2 b))))
12.0ms
b
@-inf
((+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) (pow (/ b (- (exp a) -1)) 1/2) (log (+ (exp a) (exp b))) (/ b (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (- a -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) (- (log 2) (* 1/2 b)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) (exp a) (- (exp b) -1) (pow (log 2) 3) (* (log 2) (- (log 2) (* 1/2 b))))
5.0ms
b
@0
((+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) (pow (/ b (- (exp a) -1)) 1/2) (log (+ (exp a) (exp b))) (/ b (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (- a -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) (- (log 2) (* 1/2 b)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) (exp a) (- (exp b) -1) (pow (log 2) 3) (* (log 2) (- (log 2) (* 1/2 b))))

simplify170.0ms (1.7%)

Memory
16.5MiB live, 208.1MiB allocated; 67ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04512418
112402232
250962220
082911961
Stop Event
1×iter limit
1×node limit
Counts
107 → 107
Calls
Call 1
Inputs
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (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 (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (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 (pow (/ b (- (exp a) -1)) 1/2) #s(hole binary64 (* (sqrt b) (sqrt 1/2))))
#s(approx (pow (/ b (- (exp a) -1)) 1/2) #s(hole binary64 (+ (* -1/8 (* (/ a (sqrt 1/2)) (sqrt b))) (* (sqrt b) (sqrt 1/2)))))
#s(approx (pow (/ b (- (exp a) -1)) 1/2) #s(hole binary64 (+ (* a (+ (* -1/2 (* (/ (* a (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b)))) (sqrt 1/2)) (sqrt (/ 1 b)))) (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))))) (* (sqrt b) (sqrt 1/2)))))
#s(approx (pow (/ b (- (exp a) -1)) 1/2) #s(hole binary64 (+ (* a (+ (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))) (* a (+ (* -1/2 (* (sqrt (/ 1 b)) (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (sqrt 1/2)))) (* -1/2 (* (/ (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (+ (* 1/24 b) (* 1/8 (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 b)))))))) (* (sqrt b) (sqrt 1/2)))))
#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)) #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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 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 (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (pow (/ b (- (exp a) -1)) 1/2) #s(hole binary64 (sqrt (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (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 (+ (/ 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 (* 1/2 b) #s(hole binary64 (* 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 (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (log 2) (* 1/2 b)) #s(hole binary64 (log 2)))
#s(approx (- (log 2) (* 1/2 b)) #s(hole binary64 (+ (log 2) (* -1/2 b))))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (log 2)))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) #s(hole binary64 (pow (log 2) 2)))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) #s(hole binary64 (+ (* -1/2 (* b (log 2))) (pow (log 2) 2))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (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)))) #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 (- (log 2) (* 1/2 b)) #s(hole binary64 (* -1/2 b)))
#s(approx (- (log 2) (* 1/2 b)) #s(hole binary64 (* b (- (/ (log 2) b) 1/2))))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (* 1/2 b)))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (* b (- (+ 1/2 (* -1 (/ (+ (* -2 (pow (log 2) 2)) (* 2 (pow (log 2) 2))) (pow b 2)))) (* -1 (/ (log 2) b))))))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (* b (- (+ 1/2 (* -2 (/ (* (log 2) (+ (* -2 (pow (log 2) 2)) (* 2 (pow (log 2) 2)))) (pow b 3)))) (+ (* -2 (/ (pow (log 2) 2) (pow b 2))) (+ (* -1 (/ (log 2) b)) (* 2 (/ (pow (log 2) 2) (pow b 2)))))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) #s(hole binary64 (* -1/2 (* b (log 2)))))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) #s(hole binary64 (* b (+ (* -1/2 (log 2)) (/ (pow (log 2) 2) b)))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (/ (* b (pow (sqrt -1) 2)) (+ 1 (exp a))))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ (pow (sqrt -1) 2) (+ 1 (exp a))))))))
#s(approx (pow (/ b (- (exp a) -1)) 1/2) #s(hole binary64 (* -1 (* (sqrt (/ b (+ 1 (exp a)))) (pow (sqrt -1) 2)))))
#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 2) (* 1/2 b)) #s(hole binary64 (* -1 (* b (+ 1/2 (* -1 (/ (log 2) b)))))))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (+ (* -2 (/ (pow (log 2) 2) b)) (* 2 (/ (pow (log 2) 2) b))) (* -1 (log 2))) b)) 1/2)))))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (* (log 2) (+ (* -2 (pow (log 2) 2)) (* 2 (pow (log 2) 2)))) b)) (+ (* -2 (pow (log 2) 2)) (* 2 (pow (log 2) 2)))) b)) (* -1 (log 2))) b)) 1/2)))))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (pow (log 2) 2) b)) (* 1/2 (log 2)))))))
Outputs
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (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 (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (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 (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (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 (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (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 (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (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 (pow (/ b (- (exp a) -1)) 1/2) #s(hole binary64 (* (sqrt b) (sqrt 1/2))))
#s(approx (pow (/ b (- (exp a) -1)) 1/2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 b)))
#s(approx (pow (/ b (- (exp a) -1)) 1/2) #s(hole binary64 (+ (* -1/8 (* (/ a (sqrt 1/2)) (sqrt b))) (* (sqrt b) (sqrt 1/2)))))
#s(approx (pow (/ b (- (exp a) -1)) 1/2) (*.f64 (sqrt.f64 b) (fma.f64 (/.f64 a (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (pow (/ b (- (exp a) -1)) 1/2) #s(hole binary64 (+ (* a (+ (* -1/2 (* (/ (* a (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b)))) (sqrt 1/2)) (sqrt (/ 1 b)))) (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))))) (* (sqrt b) (sqrt 1/2)))))
#s(approx (pow (/ b (- (exp a) -1)) 1/2) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (*.f64 (fma.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1/64 binary64) #s(literal 0 binary64)) a)) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 b) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 b))))
#s(approx (pow (/ b (- (exp a) -1)) 1/2) #s(hole binary64 (+ (* a (+ (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))) (* a (+ (* -1/2 (* (sqrt (/ 1 b)) (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (sqrt 1/2)))) (* -1/2 (* (/ (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (+ (* 1/24 b) (* 1/8 (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 b)))))))) (* (sqrt b) (sqrt 1/2)))))
#s(approx (pow (/ b (- (exp a) -1)) 1/2) (fma.f64 (sqrt.f64 b) (fma.f64 (/.f64 a (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 (+.f64 (fma.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1/64 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal -1/48 binary64) b (fma.f64 (/.f64 (fma.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1/64 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64))) a)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) (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 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #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)) #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 0 binary64) a (*.f64 #s(literal -1/4 binary64) b)) 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 (fma.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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (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 (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (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 (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (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 (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (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 (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 a #s(literal -1 binary64)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(literal 1 binary64))
#s(approx (- a -1) #s(hole binary64 (+ 1 a)))
#s(approx (- a -1) (-.f64 a #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (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 (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* 1/2 a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
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#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a)))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (- a -1) #s(hole binary64 a))
#s(approx (- a -1) a)
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#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (log 2)))
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#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) (-.f64 b #s(literal -2 binary64)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) #s(hole binary64 (pow (log 2) 2)))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) #s(hole binary64 (+ (* -1/2 (* b (log 2))) (pow (log 2) 2))))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) (*.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
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#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) (fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
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#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 (- (log 2) (* 1/2 b)) #s(hole binary64 (* -1/2 b)))
#s(approx (- (log 2) (* 1/2 b)) (*.f64 #s(literal -1/2 binary64) b))
#s(approx (- (log 2) (* 1/2 b)) #s(hole binary64 (* b (- (/ (log 2) b) 1/2))))
#s(approx (- (log 2) (* 1/2 b)) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (* 1/2 b)))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b))
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#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b))
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#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) (*.f64 (fma.f64 #s(literal 0 binary64) (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b))
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#s(approx (* (log 2) (- (log 2) (* 1/2 b))) (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal -1/2 binary64)))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) #s(hole binary64 (* b (+ (* -1/2 (log 2)) (/ (pow (log 2) 2) b)))))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) b)) b))
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#s(approx (+ (* (pow (/ b (- (exp a) -1)) 1/2) (pow (/ b (- (exp a) -1)) 1/2)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
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#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal -1 binary64) #s(literal -1/2 binary64))))
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#s(approx (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (* (* b b) 1/4) (* (log 2) (- (log 2) (* 1/2 b))))) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 0 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) b)) #s(literal -1/2 binary64))))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (pow (log 2) 2) b)) (* 1/2 (log 2)))))))
#s(approx (* (log 2) (- (log 2) (* 1/2 b))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) b)) b))

rewrite35.0ms (0.3%)

Memory
-1.4MiB live, 45.6MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053334
081317
0308314
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
24 → 59
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 a)))
(pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 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)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
(log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))
(exp.f64 a)
#s(approx (- (exp b) -1) #s(literal 2 binary64))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
Outputs
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 a)))) (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 a))) (*.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a))))))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (log1p.f64 (exp.f64 a)))
(fma.f64 (fabs.f64 (sqrt.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (fabs.f64 (sqrt.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a)))
(+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a))))
(/.f64 (neg.f64 b) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.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)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 b #s(literal 1/2 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
(log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 1 binary64)))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (+.f64 a #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 a a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1 binary64)))))
(-.f64 a #s(literal -1 binary64))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) (*.f64 #s(approx (- (exp b) -1) #s(literal 2 binary64)) #s(approx (- (exp b) -1) #s(literal 2 binary64)))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(approx (- (exp b) -1) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 3 binary64)) (pow.f64 #s(approx (- (exp b) -1) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (-.f64 (*.f64 #s(approx (- (exp b) -1) #s(literal 2 binary64)) #s(approx (- (exp b) -1) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(approx (- (exp b) -1) #s(literal 2 binary64))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(approx (- (exp b) -1) #s(literal 2 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(approx (- (exp b) -1) #s(literal 2 binary64)))
(+.f64 #s(approx (- (exp b) -1) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b))) (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 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) b))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.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 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 #s(literal 1/8 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 (-.f64 (log.f64 #s(literal 2 binary64)) (*.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 (-.f64 (log.f64 #s(literal 2 binary64)) (*.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 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
(*.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))
(*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))

eval22.0ms (0.2%)

Memory
-7.5MiB live, 38.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 5 735 to 755 computations (86.8% saved)

prune18.0ms (0.2%)

Memory
39.4MiB live, 39.4MiB allocated; 0ms collecting garbage
Pruning

20 alts after pruning (11 fresh and 9 done)

PrunedKeptTotal
New1683171
Fresh3811
Picked235
Done066
Total17320193
Accuracy
98.7%
Counts
193 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.1%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
58.3%
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) (log1p.f64 (exp.f64 a))))
41.7%
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(approx (pow (/ b (- (exp a) -1)) 1/2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 b))) (log1p.f64 (exp.f64 a))))
✓51.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓50.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
49.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
✓49.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
48.0%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
✓48.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
✓47.6%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
50.7%
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
✓49.8%
#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)))))
2.6%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(approx (- (log 2) (* 1/2 b)) (*.f64 #s(literal -1/2 binary64) b)))))))
✓12.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
49.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
✓50.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
11.7%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
5.3%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))))
48.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
48.8%
#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 1 390 to 554 computations (60.1% saved)

regimes49.0ms (0.5%)

Memory
-20.4MiB live, 77.2MiB allocated; 5ms collecting garbage
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 #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)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(approx (- (log 2) (* 1/2 b)) (*.f64 #s(literal -1/2 binary64) b)))))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(approx (pow (/ b (- (exp a) -1)) 1/2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 b))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) b) b (*.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (log.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (/.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))) #s(approx (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2)) (*.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) (/.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)))))
#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 6 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 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))))
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))) (log1p.f64 (exp.f64 b)))
Calls

6 calls:

10.0ms
b
9.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
9.0ms
a
7.0ms
(exp.f64 b)
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
96.7%1(exp.f64 b)
98.5%2(exp.f64 a)
96.7%1(+.f64 (exp.f64 a) (exp.f64 b))
96.7%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.5%2a
96.7%1b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes33.0ms (0.3%)

Memory
9.3MiB live, 56.1MiB allocated; 1ms collecting garbage
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 #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)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

6 calls:

6.0ms
b
6.0ms
a
5.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
67.9%2b
54.4%1(exp.f64 b)
97.7%2(+.f64 (exp.f64 a) (exp.f64 b))
97.7%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.1%2(exp.f64 a)
98.1%2a
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes41.0ms (0.4%)

Memory
-29.3MiB live, 17.2MiB allocated; 2ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 #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)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 #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)))))
Calls

2 calls:

34.0ms
(exp.f64 a)
6.0ms
a
Results
AccuracySegmentsBranch
98.1%2(exp.f64 a)
98.1%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes18.0ms (0.2%)

Memory
26.2MiB live, 26.2MiB allocated; 0ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
Calls

4 calls:

5.0ms
a
4.0ms
(exp.f64 a)
4.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
96.6%2(+.f64 (exp.f64 a) (exp.f64 b))
96.6%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
97.2%2(exp.f64 a)
97.2%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes30.0ms (0.3%)

Memory
-23.6MiB live, 23.6MiB allocated; 2ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
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))) (log1p.f64 (exp.f64 a)))
Calls

4 calls:

17.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms
a
4.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
95.2%2(+.f64 (exp.f64 a) (exp.f64 b))
95.2%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
96.0%2(exp.f64 a)
96.0%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (- (exp a) -1)) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (- (exp a) -1)))) (pow (/ b (- (exp a) -1)) 2))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
Calls

2 calls:

5.0ms
a
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
95.8%2(exp.f64 a)
95.8%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes14.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
Calls

4 calls:

4.0ms
a
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
93.2%2(+.f64 (exp.f64 a) (exp.f64 b))
93.2%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
93.2%2(exp.f64 a)
93.2%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes29.0ms (0.3%)

Memory
-37.5MiB live, 16.9MiB allocated; 6ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (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)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) 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

4 calls:

20.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
a
2.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
92.9%2(+.f64 (exp.f64 a) (exp.f64 b))
92.9%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
93.0%2(exp.f64 a)
93.0%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes10.0ms (0.1%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
Calls

4 calls:

3.0ms
a
2.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
92.8%2(+.f64 (exp.f64 a) (exp.f64 b))
92.8%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
92.8%2(exp.f64 a)
92.8%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory
20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
Calls

4 calls:

3.0ms
a
2.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
92.6%2a
92.6%2(exp.f64 a)
92.6%2(+.f64 (exp.f64 a) (exp.f64 b))
92.6%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes8.0ms (0.1%)

Memory
-35.0MiB live, 10.4MiB allocated; 3ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
Calls

2 calls:

5.0ms
a
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
92.6%2(exp.f64 a)
92.6%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes4.0ms (0%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
Calls

2 calls:

2.0ms
a
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
92.6%2(exp.f64 a)
92.6%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes7.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
Calls

4 calls:

2.0ms
a
2.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
92.0%2(+.f64 (exp.f64 a) (exp.f64 b))
92.0%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
92.0%2(exp.f64 a)
92.0%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes12.0ms (0.1%)

Memory
-24.7MiB live, 20.7MiB allocated; 2ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
Calls

6 calls:

4.0ms
b
2.0ms
a
1.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
48.8%1(exp.f64 b)
48.8%1b
55.9%2(+.f64 (exp.f64 a) (exp.f64 b))
55.9%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
56.0%2(exp.f64 a)
56.0%2a
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes8.0ms (0.1%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Accuracy

Total -4.4b remaining (-7.8%)

Threshold costs -4.4b (-7.8%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) b) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
Calls

6 calls:

1.0ms
b
1.0ms
a
1.0ms
(exp.f64 b)
1.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
12.0%1(exp.f64 b)
12.0%1b
12.0%1(+.f64 (exp.f64 a) (exp.f64 b))
12.0%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
12.0%1(exp.f64 a)
12.0%1a
Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch4.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
3.0ms
-5.458596920499989e-31
-1.454440509921298e-31
Samples
2.0ms32×0valid
Compiler

Compiled 63 to 59 computations (6.3% saved)

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

bsearch52.0ms (0.5%)

Memory
-24.6MiB live, 22.5MiB allocated; 2ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
50.0ms
-59.24571035115573
-3.0341809601759185e-5
Samples
41.0ms86×1valid
3.0ms58×0valid
Compiler

Compiled 297 to 254 computations (14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-log: 33.0ms (81.6% of total)
ival-exp: 4.0ms (9.9% of total)
adjust: 2.0ms (4.9% of total)
ival-add: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
26.9MiB live, 26.9MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
-40219.145006219114
-59.24571035115573
Samples
18.0ms111×1valid
3.0ms5×2valid
1.0ms12×0valid
Compiler

Compiled 353 to 291 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-exp: 7.0ms (40.8% of total)
ival-log: 6.0ms (35% of total)
adjust: 3.0ms (17.5% of total)
ival-add: 1.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-40219.145006219114
-59.24571035115573
Compiler

Compiled 297 to 251 computations (15.5% saved)

bsearch31.0ms (0.3%)

Memory
-28.7MiB live, 23.5MiB allocated; 3ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
29.0ms
-40219.145006219114
-59.24571035115573
Samples
20.0ms76×1valid
5.0ms12×2valid
0.0ms8×0valid
Compiler

Compiled 297 to 251 computations (15.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-log: 7.0ms (45.1% of total)
ival-exp: 5.0ms (32.2% of total)
adjust: 2.0ms (12.9% of total)
ival-add: 1.0ms (6.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-40219.145006219114
-59.24571035115573
Compiler

Compiled 385 to 315 computations (18.2% saved)

bsearch11.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-40219.145006219114
-59.24571035115573
Samples
7.0ms45×1valid
0.0ms3×0valid
Compiler

Compiled 305 to 259 computations (15.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (51% of total)
adjust: 1.0ms (17% of total)
ival-log: 1.0ms (17% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-40219.145006219114
-59.24571035115573
Compiler

Compiled 305 to 259 computations (15.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0003769601179139121
0.6931320097702226
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch15.0ms (0.1%)

Memory
-24.6MiB live, 20.0MiB allocated; 4ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-59.24571035115573
-3.0341809601759185e-5
Samples
9.0ms112×0valid
Compiler

Compiled 315 to 272 computations (13.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 5.0ms (74.7% of total)
ival-add: 1.0ms (14.9% of total)
ival-log: 1.0ms (14.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-40219.145006219114
-59.24571035115573
Compiler

Compiled 249 to 211 computations (15.3% saved)

bsearch6.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
5.0ms
-59.24571035115573
-3.0341809601759185e-5
Samples
3.0ms48×0valid
Compiler

Compiled 279 to 236 computations (15.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (61.3% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-40219.145006219114
-59.24571035115573
Compiler

Compiled 233 to 203 computations (12.9% saved)

bsearch18.0ms (0.2%)

Memory
25.0MiB live, 25.0MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
-40219.145006219114
-59.24571035115573
Samples
13.0ms76×1valid
0.0ms4×0valid
Compiler

Compiled 345 to 291 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 4.0ms (39.3% of total)
ival-log: 4.0ms (39.3% of total)
adjust: 2.0ms (19.7% of total)
ival-add: 1.0ms (9.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify56.0ms (0.5%)

Memory
-16.0MiB live, 75.1MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106591
1126591
2170591
3305591
41050591
57359591
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 a #s(literal -178405961588245/356811923176489970264571492362373784095686656 binary64)) #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))) (log1p.f64 (exp.f64 b))))
(if (<=.f64 a #s(literal -36 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 a #s(literal -62 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 #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))))))
(if (<=.f64 a #s(literal -62 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 (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))))
(if (<=.f64 a #s(literal -395 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 (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -62 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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -82 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -82 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) 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 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -6124895493223875/4503599627370496 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) 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 -82 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -82 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -150 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
Outputs
(if (<=.f64 a #s(literal -178405961588245/356811923176489970264571492362373784095686656 binary64)) #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))) (log1p.f64 (exp.f64 b))))
(if (<=.f64 a #s(literal -36 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 a #s(literal -62 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 #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))))))
(if (<=.f64 a #s(literal -62 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 (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))))
(if (<=.f64 a #s(literal -395 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 (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -62 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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -82 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -82 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) 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 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -6124895493223875/4503599627370496 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) 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 -82 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -82 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (- b -1) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -150 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))

derivations571.0ms (5.6%)

Memory
19.4MiB live, 450.6MiB allocated; 34ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 591 to 110 computations (81.4% saved)

preprocess74.0ms (0.7%)

Memory
-22.1MiB live, 116.5MiB allocated; 10ms collecting garbage
Compiler

Compiled 1 256 to 270 computations (78.5% saved)

end0.0ms (0%)

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

Profiling

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