symmetry log of sum of exp

Time bar (total: 10.5s)

start0.0ms (0%)

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

analyze141.0ms (1.3%)

Memory
42.4MiB live, 182.3MiB allocated; 35ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
50%50%50%0.1%0%0%0%5
50%50%50%0.1%0%0%0%6
50%50%50%0.1%0%0%0%7
50%50%50%0.1%0%0%0%8
50%50%50%0.1%0%0%0%9
50%50%50%0.1%0%0%0%10
50%50%50%0.1%0%0%0%11
50%50%50%0.1%0%0%0%12
Compiler

Compiled 8 to 8 computations (0% saved)

sample5.4s (51.4%)

Memory
110.8MiB live, 5 222.8MiB allocated; 1.3s collecting garbage
Samples
2.8s7 740×5exit
883.0ms1 604×2valid
524.0ms2 216×1valid
243.0ms4 436×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.5s
ival-log: 1.2s (33.1% of total)
adjust: 1.1s (31.6% of total)
ival-exp: 923.0ms (26.5% of total)
ival-add: 289.0ms (8.3% of total)
ival-true: 13.0ms (0.4% of total)
ival-assert: 6.0ms (0.2% of total)
Bogosity

explain141.0ms (1.3%)

Memory
17.9MiB live, 211.4MiB allocated; 11ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1290-0-(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)))sensitivity1230
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))oflow-rescue50
(+.f64 (exp.f64 a) (exp.f64 b))overflow5
(exp.f64 a)overflow4
(exp.f64 b)overflow1
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))uflow-rescue10
(+.f64 (exp.f64 a) (exp.f64 b))underflow1
(exp.f64 a)underflow74
(exp.f64 b)underflow54
Confusion
Predicted +Predicted -
+1290
-0127
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12900
-00127
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0127
1129
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
50.0ms100×2valid
27.0ms140×1valid
16.0ms272×0valid
Compiler

Compiled 44 to 22 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-log: 38.0ms (50.4% of total)
ival-exp: 26.0ms (34.5% of total)
adjust: 7.0ms (9.3% of total)
ival-add: 4.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess210.0ms (2%)

Memory
-5.5MiB live, 230.8MiB allocated; 108ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01636
13636
29336
335036
4172836
5657636
066
0106
1176
2406
31126
45146
550546
080666
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
Symmetry

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.8%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 6 to 6 computations (0% saved)

simplify142.0ms (1.4%)

Memory
-32.5MiB live, 120.7MiB allocated; 42ms collecting garbage
Algorithm
egg-herbie
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
451417
5505417
0806617
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
b
Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 a)
a
(exp.f64 b)
b

localize53.0ms (0.5%)

Memory
10.6MiB live, 56.4MiB allocated; 3ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 b)
accuracy0.00390625
(exp.f64 a)
accuracy0.01171875
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy29.561701491163614
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
26.0ms50×2valid
14.0ms70×1valid
8.0ms136×0valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-log: 19.0ms (51.8% of total)
ival-exp: 12.0ms (32.7% of total)
adjust: 3.0ms (8.2% of total)
ival-add: 2.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series90.0ms (0.9%)

Memory
6.0MiB live, 99.2MiB allocated; 14ms collecting garbage
Counts
4 → 27
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
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (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))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(exp a)
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (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))))))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
Calls

6 calls:

TimeVariablePointExpression
38.0ms
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))

simplify132.0ms (1.3%)

Memory
3.8MiB live, 140.1MiB allocated; 23ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099370
1317370
21186366
35037366
08217320
Stop Event
iter limit
node limit
Counts
27 → 27
Calls
Call 1
Inputs
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (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))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(exp a)
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (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))))))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
Outputs
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+.f64 (/.f64 a (+.f64 (exp.f64 b) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (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)))
(+ (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))))))
(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)))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 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))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp a)
(exp.f64 a)
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(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)))
(+ (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))))))
(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)))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 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)))
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 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))
(exp b)
(exp.f64 b)

rewrite141.0ms (1.3%)

Memory
31.9MiB live, 163.7MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
01015
13015
222515
3292015
0867815
Stop Event
iter limit
node limit
iter limit
Counts
4 → 263
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 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (neg.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)))) (neg.f64 (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 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (neg.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)))) (neg.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)) (+.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 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))) (log.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (-.f64 (pow.f64 (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))))))
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(/.f64 (sqrt.f64 (*.f64 (exp.f64 a) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 a) #s(literal 1 binary64))) (sqrt.f64 (exp.f64 (neg.f64 a))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 a) (exp.f64 a)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) (*.f64 (sinh.f64 a) (exp.f64 a)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 a) (exp.f64 a)) #s(literal 3 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 (-.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 (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 (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) (neg.f64 (neg.f64 (exp.f64 (neg.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)))
(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 (neg.f64 (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (pow.f64 (cosh.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sinh.f64 b) (cosh.f64 b))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 b) (*.f64 #s(literal 2 binary64) (cosh.f64 b)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))) #s(literal -2 binary64))
(/.f64 (neg.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 (neg.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 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))))
(/.f64 (neg.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (neg.f64 (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))))
(/.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 (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (pow.f64 (cosh.f64 b) #s(literal 2 binary64)))) (exp.f64 (neg.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 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 3 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 (-.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 (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 (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) (neg.f64 (neg.f64 (exp.f64 (neg.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))

eval323.0ms (3.1%)

Memory
-30.5MiB live, 91.2MiB allocated; 615ms collecting garbage
Compiler

Compiled 7 882 to 1 233 computations (84.4% saved)

prune10.0ms (0.1%)

Memory
-24.3MiB live, 23.0MiB allocated; 2ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2819290
Fresh000
Picked011
Done000
Total28110291
Accuracy
99.0%
Counts
291 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.1%
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))))
48.1%
(log.f64 (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)))
53.8%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
51.9%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
51.7%
(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)))))
51.2%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
48.5%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
98.1%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
48.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
49.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
Compiler

Compiled 234 to 194 computations (17.1% saved)

simplify123.0ms (1.2%)

Memory
24.2MiB live, 118.5MiB allocated; 10ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cosh.f64 a)
cost-diff0
(+.f64 (cosh.f64 a) (exp.f64 b))
cost-diff0
(log.f64 (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)))
cost-diff3
(+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))
cost-diff0
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
cost-diff0
(exp.f64 a)
cost-diff0
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
cost-diff0
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
cost-diff0
(exp.f64 b)
cost-diff0
#s(approx (exp a) #s(literal 1 binary64))
cost-diff0
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
cost-diff0
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
cost-diff0
(exp.f64 a)
cost-diff0
(log1p.f64 (exp.f64 a))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
cost-diff0
(+.f64 (exp.f64 a) #s(literal 1 binary64))
cost-diff0
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
cost-diff0
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029168
050168
176162
2146162
3413162
42260162
56793162
09849162
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
b
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(exp.f64 a)
a
#s(literal 1 binary64)
(log1p.f64 (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 b)
b
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
(exp.f64 a)
a
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
b
#s(literal 1 binary64)
(log.f64 (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)))
(+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))
(+.f64 (cosh.f64 a) (exp.f64 b))
(cosh.f64 a)
a
(exp.f64 b)
b
(sinh.f64 a)
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+.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 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(exp.f64 a)
a
#s(literal 1 binary64)
(log1p.f64 (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
(+.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 b)
b
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a)))
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
(+.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a))
(exp.f64 a)
a
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
b
#s(literal 1 binary64)
(log.f64 (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (cosh.f64 a) (exp.f64 b))
(cosh.f64 a)
a
(exp.f64 b)
b
(sinh.f64 a)

localize70.0ms (0.7%)

Memory
-20.0MiB live, 70.6MiB allocated; 7ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sinh.f64 a)
accuracy0.01171875
(+.f64 (cosh.f64 a) (exp.f64 b))
accuracy0.738264731598578
(+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))
accuracy1.4752848386588389
(log.f64 (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)))
accuracy0.00390625
(exp.f64 a)
accuracy0.01171875
(+.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))))
accuracy1.2454050631328375
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
accuracy1.4752848386588389
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
accuracy0.0
(exp.f64 b)
accuracy0.01171875
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
accuracy1.4752848386588389
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
accuracy1.714084859750818
#s(approx (exp a) #s(literal 1 binary64))
accuracy0.00390625
(log1p.f64 (exp.f64 a))
accuracy0.00390625
(exp.f64 a)
accuracy2.3159875185569883
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
accuracy0.00390625
(exp.f64 a)
accuracy0.0078125
(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy0.015625
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
accuracy1.1757942567782584
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
Samples
29.0ms127×0exit
21.0ms126×0valid
1.0ms2valid
1.0ms1valid
Compiler

Compiled 134 to 23 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 9.0ms (24.4% of total)
ival-add: 8.0ms (21.7% of total)
ival-log: 6.0ms (16.3% of total)
ival-exp: 4.0ms (10.9% of total)
ival-cosh: 3.0ms (8.1% of total)
ival-mult: 3.0ms (8.1% of total)
ival-sinh: 2.0ms (5.4% of total)
ival-log1p: 2.0ms (5.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series262.0ms (2.5%)

Memory
38.0MiB live, 269.3MiB allocated; 26ms collecting garbage
Counts
19 → 73
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
#s(approx (exp a) #s(literal 1 binary64))
(exp.f64 b)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))
(log.f64 (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)))
(+.f64 (cosh.f64 a) (exp.f64 b))
(cosh.f64 a)
(sinh.f64 a)
Outputs
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (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))))))
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (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)))))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 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))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* 1/2 (pow a 2))))
(+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2))))))
(+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2))))))))
(+ 1 (* 1/2 (pow a 2)))
(+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))
(+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))
a
(* a (+ 1 (* 1/6 (pow a 2))))
(* a (+ 1 (* (pow a 2) (+ 1/6 (* 1/120 (pow a 2))))))
(* a (+ 1 (* (pow a 2) (+ 1/6 (* (pow a 2) (+ 1/120 (* 1/5040 (pow a 2))))))))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(+ 1 (exp a))
(log (+ 1 (exp a)))
(exp a)
(+ (exp a) (exp b))
(+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))
(log (+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))
(+ (exp b) (* 1/2 (+ (exp a) (/ 1 (exp a)))))
(* 1/2 (+ (exp a) (/ 1 (exp a))))
(* 1/2 (- (exp a) (/ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (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))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))
(+ 1 (+ b (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b))))))
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ b (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 3 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (* 1/2 (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
(+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a)))))
(+ 1 (+ b (* 1/2 (+ (exp a) (/ 1 (exp a))))))
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(exp b)
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
Calls

6 calls:

TimeVariablePointExpression
110.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (+ (cosh a) (exp b)) (sinh a)) (log (+ (+ (cosh a) (exp b)) (sinh a))) (+ (cosh a) (exp b)) (cosh a) (sinh a))
51.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (+ (cosh a) (exp b)) (sinh a)) (log (+ (+ (cosh a) (exp b)) (sinh a))) (+ (cosh a) (exp b)) (cosh a) (sinh a))
47.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (+ (cosh a) (exp b)) (sinh a)) (log (+ (+ (cosh a) (exp b)) (sinh a))) (+ (cosh a) (exp b)) (cosh a) (sinh a))
29.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (+ (cosh a) (exp b)) (sinh a)) (log (+ (+ (cosh a) (exp b)) (sinh a))) (+ (cosh a) (exp b)) (cosh a) (sinh a))
18.0ms
a
@0
((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (+ (cosh a) (exp b)) (sinh a)) (log (+ (+ (cosh a) (exp b)) (sinh a))) (+ (cosh a) (exp b)) (cosh a) (sinh a))

simplify157.0ms (1.5%)

Memory
-2.6MiB live, 177.1MiB allocated; 28ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02621241
18681218
234711197
084671058
Stop Event
iter limit
node limit
Counts
73 → 72
Calls
Call 1
Inputs
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (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))))))
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (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)))))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 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))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* 1/2 (pow a 2))))
(+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2))))))
(+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2))))))))
(+ 1 (* 1/2 (pow a 2)))
(+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))
(+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))
a
(* a (+ 1 (* 1/6 (pow a 2))))
(* a (+ 1 (* (pow a 2) (+ 1/6 (* 1/120 (pow a 2))))))
(* a (+ 1 (* (pow a 2) (+ 1/6 (* (pow a 2) (+ 1/120 (* 1/5040 (pow a 2))))))))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(+ 1 (exp a))
(log (+ 1 (exp a)))
(exp a)
(+ (exp a) (exp b))
(+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))
(log (+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))
(+ (exp b) (* 1/2 (+ (exp a) (/ 1 (exp a)))))
(* 1/2 (+ (exp a) (/ 1 (exp a))))
(* 1/2 (- (exp a) (/ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (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))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))
(+ 1 (+ b (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b))))))
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ b (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 3 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (* 1/2 (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
(+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a)))))
(+ 1 (+ b (* 1/2 (+ (exp a) (/ 1 (exp a))))))
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(exp b)
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
Outputs
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(+ (log 2) (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(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))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(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))))
(+ (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)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) a #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))))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 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))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/48 binary64) b) a) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 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))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* 1/2 (pow a 2))))
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) a) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2))))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64)) a) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (* 1/2 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
a
(* a (+ 1 (* 1/6 (pow a 2))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) a)
(* a (+ 1 (* (pow a 2) (+ 1/6 (* 1/120 (pow a 2))))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64)) a)
(* a (+ 1 (* (pow a 2) (+ 1/6 (* (pow a 2) (+ 1/120 (* 1/5040 (pow a 2))))))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal 1/6 binary64)) a)
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))
(fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) (exp.f64 b))
(log (+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))
(log.f64 (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) (exp.f64 b)))
(+ (exp b) (* 1/2 (+ (exp a) (/ 1 (exp a)))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) #s(literal 1/2 binary64) (exp.f64 b))
(* 1/2 (+ (exp a) (/ 1 (exp a))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 a) (/.f64 #s(literal 1/2 binary64) (exp.f64 a)))
(* 1/2 (- (exp a) (/ 1 (exp a))))
(*.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 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 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 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))
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))
(fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ b (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))
(fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) b))
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b))))))
(fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))
(log1p.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (exp.f64 a)) (/.f64 #s(literal 1/2 binary64) (exp.f64 a))))
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ b (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))
(+.f64 (/.f64 b (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64))) (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (exp.f64 a)) (/.f64 #s(literal 1/2 binary64) (exp.f64 a)))))
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) b (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (exp.f64 a)) (/.f64 #s(literal 1/2 binary64) (exp.f64 a)))))
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 3 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (* 1/2 (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -3 binary64)) (pow.f64 (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) b) #s(literal 1/6 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) b (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (exp.f64 a)) (/.f64 #s(literal 1/2 binary64) (exp.f64 a)))))
(+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a)))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ b (* 1/2 (+ (exp a) (/ 1 (exp a))))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) b))
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(exp b)
(exp.f64 b)
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 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)))))

rewrite249.0ms (2.4%)

Memory
-11.6MiB live, 235.0MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029136
050136
1186130
21503130
08136130
Stop Event
iter limit
node limit
iter limit
Counts
19 → 394
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
#s(approx (exp a) #s(literal 1 binary64))
(exp.f64 b)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))
(log.f64 (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)))
(+.f64 (cosh.f64 a) (exp.f64 b))
(cosh.f64 a)
(sinh.f64 a)
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.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 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.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 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #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 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #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 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (*.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (*.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (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 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))
(fma.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (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 (exp.f64 a) (exp.f64 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 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(-.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))))
(+.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))))
(+.f64 (/.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 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #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 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))
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(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b)))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b))))))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (exp.f64 (neg.f64 b)) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a))))) (*.f64 (exp.f64 (neg.f64 b)) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 b)) (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) (*.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a))))) (*.f64 (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b)))) #s(literal -2 binary64)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b)))) (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) (*.f64 (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (cosh.f64 a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cosh.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (exp.f64 b))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (cosh.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (exp.f64 b)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 a)) (neg.f64 b)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 a)) (neg.f64 b)) #s(literal 2 binary64)))) (sinh.f64 b))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 a)) b) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 a)) b) #s(literal 2 binary64)))) (sinh.f64 b))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 a) (neg.f64 b)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 a) (neg.f64 b)) #s(literal 2 binary64)))) (sinh.f64 b))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 a) b) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 a) b) #s(literal 2 binary64)))) (sinh.f64 b))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 a (neg.f64 b)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 a (neg.f64 b)) #s(literal 2 binary64)))) (sinh.f64 b))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 a b) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 a b) #s(literal 2 binary64)))) (sinh.f64 b))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (cosh.f64 a))) (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (cosh.f64 a))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (-.f64 (cosh.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (cosh.f64 a) (exp.f64 b))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (exp.f64 b))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (exp.f64 b))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (exp.f64 b))))) (/.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (exp.f64 b))))))
(+.f64 (+.f64 (cosh.f64 a) (cosh.f64 b)) (sinh.f64 b))
(+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (-.f64 (cosh.f64 a) (exp.f64 b))) (/.f64 (*.f64 (neg.f64 (exp.f64 b)) (exp.f64 b)) (-.f64 (cosh.f64 a) (exp.f64 b))))
(+.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) (cosh.f64 a)))
(+.f64 (cosh.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (cosh.f64 a))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 a) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 (neg.f64 a))))
(cosh.f64 (neg.f64 (neg.f64 a)))
(cosh.f64 (neg.f64 a))
(cosh.f64 a)
(+.f64 (/.f64 (cosh.f64 a) #s(literal 2 binary64)) (/.f64 (+.f64 (sinh.f64 a) (exp.f64 (neg.f64 a))) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64))
(sinh.f64 a)
(-.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 a) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 a) (exp.f64 (neg.f64 a))) #s(literal 2 binary64)))

eval86.0ms (0.8%)

Memory
20.3MiB live, 109.4MiB allocated; 7ms collecting garbage
Compiler

Compiled 19 562 to 2 529 computations (87.1% saved)

prune29.0ms (0.3%)

Memory
-31.3MiB live, 67.8MiB allocated; 9ms collecting garbage
Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New60415619
Fresh134
Picked145
Done011
Total60623629
Accuracy
99.0%
Counts
629 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.8%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
51.9%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
51.7%
(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)))))
51.2%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
48.5%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
47.9%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
47.9%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
47.7%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
67.4%
#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (*.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
67.4%
#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 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))
98.1%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
48.5%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
57.2%
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
48.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
49.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
45.2%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
46.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
98.1%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
48.1%
#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)))))
98.1%
#s(approx (log (+ (exp a) (exp b))) #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)))))))
47.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
46.9%
#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)))))
46.6%
#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 891 to 595 computations (33.2% saved)

simplify125.0ms (1.2%)

Memory
32.9MiB live, 164.1MiB allocated; 16ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
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 #s(approx (exp a) #s(literal 1 binary64))))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
cost-diff0
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
cost-diff0
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
cost-diff0
#s(approx (exp a) #s(literal 1 binary64))
cost-diff0
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
cost-diff0
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
cost-diff0
#s(approx (exp a) #s(literal 1 binary64))
cost-diff0
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
cost-diff0
(neg.f64 b)
cost-diff0
(*.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)))))
cost-diff0
#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))))))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) #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)))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044310
072310
1106310
2195310
3491310
41427310
56942310
09492310
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (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 (+ (/ 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))))))
(*.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)))))
(neg.f64 b)
b
(-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(+.f64 #s(literal 1 binary64) b)
b
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 a a)
a
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp 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 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
Outputs
#s(approx (log (+ (exp a) (exp b))) #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 (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (neg.f64 b))))
#s(approx (+ (/ 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 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (neg.f64 b)))
(*.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)))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (neg.f64 b))
(neg.f64 b)
b
(-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(log.f64 (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64))))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
(+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(+.f64 #s(literal 1 binary64) b)
b
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64))
(*.f64 a a)
a
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp 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 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))

localize219.0ms (2.1%)

Memory
8.6MiB live, 201.9MiB allocated; 14ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy0.015625
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
accuracy1.1757942567782584
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
accuracy32.47119808075735
#s(approx (exp a) #s(literal 1 binary64))
accuracy0.046875
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
accuracy0.109375
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy32.114328521965945
#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))))
accuracy32.38794123959903
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
accuracy0.01171875
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
accuracy3.196923401025261
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
accuracy29.561701491163614
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
accuracy32.47119808075735
#s(approx (exp a) #s(literal 1 binary64))
accuracy0.00390625
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
accuracy32.38794123959903
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
accuracy32.47119808075735
#s(approx (exp a) #s(literal 1 binary64))
accuracy0.0078125
(+.f64 #s(literal 1 binary64) (exp.f64 a))
accuracy0.08984375
(*.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)))))
accuracy0.1015625
(/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))
accuracy1.1757942567782584
#s(approx (log (+ (exp a) (exp b))) #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)))))))
Samples
110.0ms50×2valid
44.0ms70×1valid
42.0ms136×0valid
Compiler

Compiled 212 to 32 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-mult: 70.0ms (41.2% of total)
ival-exp: 26.0ms (15.3% of total)
adjust: 23.0ms (13.5% of total)
ival-log: 22.0ms (12.9% of total)
ival-add: 13.0ms (7.6% of total)
ival-div: 6.0ms (3.5% of total)
const: 5.0ms (2.9% of total)
ival-sub: 2.0ms (1.2% of total)
ival-log1p: 2.0ms (1.2% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series115.0ms (1.1%)

Memory
-7.9MiB live, 132.9MiB allocated; 27ms collecting garbage
Counts
21 → 73
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #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 (+ (/ 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))))))
(*.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)))))
(neg.f64 b)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
Outputs
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (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))))))
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (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)))))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(+ (* -1 (* a (* b (- 1/4 (* 1/2 (/ 1 b)))))) (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))))
(+ (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) (* a (+ (* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) (* 1/8 a))))
(+ (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) (* a (+ (* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) (* a (+ 1/8 (* 1/48 (* a b)))))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
1/2
(+ 1/2 (* 1/8 a))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 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))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(* -1 (/ (log 2) b))
(+ (* -1 (/ (log 2) b)) (* -1/2 (/ a b)))
(+ (* -1 (/ (log 2) b)) (* a (- (* -1/8 (/ a b)) (* 1/2 (/ 1 b)))))
(+ (* -1 (/ (log 2) b)) (* a (- (* a (- (* 1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))))
1/8
(+ 1/8 (* -1/192 (pow a 2)))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(log (+ 1 (exp a)))
(exp a)
(+ (exp a) (exp b))
(* -1/192 (pow a 4))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))
(* -1/192 (pow a 3))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(/ b (+ 1 (exp a)))
(+ 1 (exp a))
(* -1 (/ (log (+ 1 (exp a))) b))
(* -1/192 (pow a 2))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (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))))))
(* -1 b)
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(exp b)
Calls

6 calls:

TimeVariablePointExpression
38.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (neg b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (/ (log (+ 1 (exp a))) (neg b)) (+ 1 (exp a)) (+ (* (* a a) -1/192) 1/8))
25.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (neg b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (/ (log (+ 1 (exp a))) (neg b)) (+ 1 (exp a)) (+ (* (* a a) -1/192) 1/8))
18.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (neg b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (/ (log (+ 1 (exp a))) (neg b)) (+ 1 (exp a)) (+ (* (* a a) -1/192) 1/8))
16.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (neg b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (/ (log (+ 1 (exp a))) (neg b)) (+ 1 (exp a)) (+ (* (* a a) -1/192) 1/8))
13.0ms
b
@0
((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (neg b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (/ (log (+ 1 (exp a))) (neg b)) (+ 1 (exp a)) (+ (* (* a a) -1/192) 1/8))

simplify138.0ms (1.3%)

Memory
32.5MiB live, 213.0MiB allocated; 25ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0255935
1797898
23017876
08382783
Stop Event
iter limit
node limit
Counts
73 → 73
Calls
Call 1
Inputs
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (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))))))
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (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)))))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(+ (* -1 (* a (* b (- 1/4 (* 1/2 (/ 1 b)))))) (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))))
(+ (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) (* a (+ (* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) (* 1/8 a))))
(+ (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) (* a (+ (* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) (* a (+ 1/8 (* 1/48 (* a b)))))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
1/2
(+ 1/2 (* 1/8 a))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 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))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(* -1 (/ (log 2) b))
(+ (* -1 (/ (log 2) b)) (* -1/2 (/ a b)))
(+ (* -1 (/ (log 2) b)) (* a (- (* -1/8 (/ a b)) (* 1/2 (/ 1 b)))))
(+ (* -1 (/ (log 2) b)) (* a (- (* a (- (* 1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))))
1/8
(+ 1/8 (* -1/192 (pow a 2)))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(log (+ 1 (exp a)))
(exp a)
(+ (exp a) (exp b))
(* -1/192 (pow a 4))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))
(* -1/192 (pow a 3))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(/ b (+ 1 (exp a)))
(+ 1 (exp a))
(* -1 (/ (log (+ 1 (exp a))) b))
(* -1/192 (pow a 2))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (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))))))
(* -1 b)
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(exp b)
Outputs
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(+ (log 2) (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(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))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(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))))
(+ (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)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) a #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))))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)))
(+ (* -1 (* a (* b (- 1/4 (* 1/2 (/ 1 b)))))) (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))))
(*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))))
(+ (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) (* a (+ (* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) (* 1/8 a))))
(fma.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))
(+ (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) (* a (+ (* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) (* a (+ 1/8 (* 1/48 (* a b)))))))
(fma.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))) (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal 1/48 binary64) b) a #s(literal 1/8 binary64))))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 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))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 a))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 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))))
(fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(* -1 (/ (log 2) b))
(/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b))
(+ (* -1 (/ (log 2) b)) (* -1/2 (/ a b)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (neg.f64 (log.f64 #s(literal 2 binary64)))) b)
(+ (* -1 (/ (log 2) b)) (* a (- (* -1/8 (/ a b)) (* 1/2 (/ 1 b)))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) a #s(literal -1/2 binary64)) b) a (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)))
(+ (* -1 (/ (log 2) b)) (* a (- (* a (- (* 1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)) b) a (/.f64 #s(literal -1/2 binary64) b)) a (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -1/192 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 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)))))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(* -1/192 (pow a 4))
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/192 binary64))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a) a) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a) a) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* -1/192 (pow a 3))
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/192 binary64))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a) a) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 3 binary64)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(* -1 (/ (log (+ 1 (exp a))) b))
(/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))
(* -1/192 (pow a 2))
(*.f64 (*.f64 a a) #s(literal -1/192 binary64))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) a) a)
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 a)) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 a a)) #s(literal -1 binary64) #s(literal -1/192 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(*.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a) a) #s(literal -1/192 binary64)) (pow.f64 a #s(literal 3 binary64)))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(* -1 b)
(neg.f64 b)
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 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 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 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))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(exp b)
(exp.f64 b)

rewrite229.0ms (2.2%)

Memory
-38.5MiB live, 248.8MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044249
072249
1258249
21887246
09223246
Stop Event
iter limit
node limit
iter limit
Counts
21 → 263
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #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 (+ (/ 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))))))
(*.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)))))
(neg.f64 b)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (neg.f64 b))))
#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (neg.f64 b)))
(*.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)) b) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (neg.f64 b) (neg.f64 b)))
(*.f64 (/.f64 (neg.f64 b) (neg.f64 b)) (/.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)) b) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)) b) (neg.f64 b)) (/.f64 (neg.f64 b) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 b) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)) b) (neg.f64 b)))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (neg.f64 b))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))
(*.f64 b (neg.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (neg.f64 b))) (neg.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3 binary64))) (neg.f64 b))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)) b) (neg.f64 b))) (neg.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (neg.f64 b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 b) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))))) (neg.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 b) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3 binary64))))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 b) (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)) b))) (neg.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (neg.f64 b))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (neg.f64 b)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3 binary64))) (neg.f64 b)) (fma.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)) b) (neg.f64 b)) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (neg.f64 b)))
(/.f64 (*.f64 (neg.f64 b) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64)))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))))
(/.f64 (*.f64 (neg.f64 b) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3 binary64)))) (fma.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 b) (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)) b)) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (neg.f64 b)))
(neg.f64 (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b))
(*.f64 (neg.f64 b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 b))
(neg.f64 b)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(approx (exp a) #s(literal 1 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64))) (log.f64 (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64))))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64))) (log1p.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)))) (log.f64 (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))))
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(/.f64 (fma.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (*.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (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 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))
(+.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #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 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (exp.f64 a)) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 (*.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 a a)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/64 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64)) (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))) (*.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))) #s(literal 1/512 binary64))) (*.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 a a))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64))) (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/64 binary64)) (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64)))
(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))))
(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64)) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))))
(fma.f64 (*.f64 #s(literal -1/192 binary64) (neg.f64 a)) (neg.f64 a) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal -1/192 binary64) a) a #s(literal 1/8 binary64))
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(fma.f64 a (*.f64 #s(literal -1/192 binary64) a) #s(literal 1/8 binary64))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 a a)))) (/.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 a a)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 a a)) #s(literal -1/192 binary64)))
(-.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/192 binary64) a)))
(-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/192 binary64) (*.f64 a a)))
(+.f64 (/.f64 #s(literal 1/512 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 (*.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 #s(literal 1/512 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(+.f64 (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 (*.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(+.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 a a)))

eval81.0ms (0.8%)

Memory
30.9MiB live, 74.4MiB allocated; 7ms collecting garbage
Compiler

Compiled 14 014 to 1 615 computations (88.5% saved)

prune54.0ms (0.5%)

Memory
-6.3MiB live, 40.3MiB allocated; 4ms collecting garbage
Pruning

26 alts after pruning (17 fresh and 9 done)

PrunedKeptTotal
New3229331
Fresh5813
Picked145
Done055
Total32826354
Accuracy
99.0%
Counts
354 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.8%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
51.9%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
51.7%
(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)))))
51.2%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
48.5%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
47.9%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
47.9%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
47.7%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
48.5%
#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (pow.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))))
48.5%
#s(approx (log (+ (exp a) (exp b))) (/.f64 (+.f64 (pow.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) (/.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)))))
98.1%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
48.5%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
46.7%
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
47.8%
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
57.2%
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
48.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
49.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
45.2%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
46.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
48.1%
#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)))))
48.5%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 #s(approx (/ (log (+ 1 (exp a))) (neg b)) (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
47.5%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)))))))
48.1%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))))))
47.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
46.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
46.6%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
Compiler

Compiled 1 176 to 743 computations (36.8% saved)

simplify164.0ms (1.6%)

Memory
1.1MiB live, 105.1MiB allocated; 121ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#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)))
cost-diff0
(exp.f64 a)
cost-diff0
(+.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))))
cost-diff0
(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)))))
cost-diff0
(+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
cost-diff2
(fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b))
cost-diff2
(fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))
cost-diff0
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))
cost-diff0
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
cost-diff0
(+.f64 #s(literal 1 binary64) a)
cost-diff0
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
cost-diff0
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) b)
cost-diff0
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
cost-diff0
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044383
076378
1128378
2254374
3678374
42253370
08163365
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
b
(fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
a
#s(literal 1/2 binary64)
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
(fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))
(fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b))
(*.f64 a (*.f64 #s(literal 1/48 binary64) a))
a
(*.f64 #s(literal 1/48 binary64) a)
#s(literal 1/48 binary64)
b
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
(exp.f64 a)
a
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
b
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(approx (/ b (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(+.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(approx (/ b (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) 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)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b)
b
(fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
a
#s(literal 1/2 binary64)
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64)) b)) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64)) b)) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (+ (exp a) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64)) b))
(fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64)) b)
(fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b))
(*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64)) b)
(*.f64 a (*.f64 #s(literal 1/48 binary64) a))
(*.f64 (*.f64 #s(literal 1/48 binary64) a) a)
a
(*.f64 #s(literal 1/48 binary64) a)
#s(literal 1/48 binary64)
b
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#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 #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))) (exp.f64 a)))
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
(+.f64 #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))) (exp.f64 a))
(exp.f64 a)
a
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
b
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize180.0ms (1.7%)

Memory
-0.7MiB live, 283.2MiB allocated; 40ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
accuracy0.01171875
(+.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))))
accuracy2.777533333122276
#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)))
accuracy29.561701491163614
(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)))))
accuracy1.1757942567782584
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
accuracy5.475058206486168
(fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b))
accuracy32.24329155825968
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
accuracy32.47119808075735
#s(approx (exp a) #s(literal 1 binary64))
accuracy0.015625
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
accuracy1.1757942567782584
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
accuracy31.2106835960536
#s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))
accuracy32.47119808075735
#s(approx (exp a) #s(literal 1 binary64))
accuracy0.0
(+.f64 #s(literal 1 binary64) a)
accuracy0.00390625
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
accuracy32.38794123959903
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
accuracy32.49824069364866
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
accuracy0.00390625
(exp.f64 a)
accuracy0.015625
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
accuracy1.1757942567782584
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
accuracy27.36805459347257
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
Samples
65.0ms50×2valid
52.0ms70×1valid
34.0ms136×0valid
Compiler

Compiled 231 to 35 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-log: 30.0ms (25.8% of total)
adjust: 20.0ms (17.2% of total)
ival-add: 18.0ms (15.5% of total)
ival-mult: 18.0ms (15.5% of total)
ival-exp: 13.0ms (11.2% of total)
const: 13.0ms (11.2% of total)
ival-div: 2.0ms (1.7% of total)
ival-log1p: 2.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series98.0ms (0.9%)

Memory
30.6MiB live, 160.9MiB allocated; 70ms collecting garbage
Counts
23 → 66
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
#s(approx (/ b (+ (exp a) 1)) (*.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 #s(literal 1 binary64) a))))
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))
(fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.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))))
(exp.f64 a)
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
Outputs
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (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))))))
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (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)))))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 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))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))
(* -1/4 b)
(+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(log (+ 1 (exp a)))
(exp a)
a
(* a (+ 1 (/ 1 a)))
(* -1/4 (* a b))
(* a (+ (* -1/4 b) (* 1/2 (/ b a))))
(* 1/48 (* (pow a 3) b))
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3))))))
(* 1/48 (* (pow a 2) b))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))
(+ (exp a) (exp b))
(* -1 (* a (+ (* -1/2 (/ b a)) (* 1/4 b))))
(* -1 (* (pow a 3) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2))))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (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))))))
(* b (+ 1/2 (* -1/4 a)))
(* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))
(* b (- (* 1/48 (pow a 2)) 1/4))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
1/2
(+ 1/2 (* 1/6 b))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(exp b)
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2)))
(* -1 (* b (+ 1/4 (* -1/48 (pow a 2)))))
Calls

6 calls:

TimeVariablePointExpression
33.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* b (+ (* -1/4 a) 1/2)) (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (exp a) (/ b (+ (exp a) 1)) (+ (* 1/6 b) 1/2))
24.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* b (+ (* -1/4 a) 1/2)) (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (exp a) (/ b (+ (exp a) 1)) (+ (* 1/6 b) 1/2))
23.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* b (+ (* -1/4 a) 1/2)) (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (exp a) (/ b (+ (exp a) 1)) (+ (* 1/6 b) 1/2))
10.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* b (+ (* -1/4 a) 1/2)) (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (exp a) (/ b (+ (exp a) 1)) (+ (* 1/6 b) 1/2))
4.0ms
b
@0
((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* b (+ (* -1/4 a) 1/2)) (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (exp a) (/ b (+ (exp a) 1)) (+ (* 1/6 b) 1/2))

simplify196.0ms (1.9%)

Memory
-16.0MiB live, 170.0MiB allocated; 92ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0235829
1791792
23079741
08394657
Stop Event
iter limit
node limit
Counts
66 → 65
Calls
Call 1
Inputs
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (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))))))
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (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)))))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 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))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))
(* -1/4 b)
(+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(log (+ 1 (exp a)))
(exp a)
a
(* a (+ 1 (/ 1 a)))
(* -1/4 (* a b))
(* a (+ (* -1/4 b) (* 1/2 (/ b a))))
(* 1/48 (* (pow a 3) b))
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3))))))
(* 1/48 (* (pow a 2) b))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))
(+ (exp a) (exp b))
(* -1 (* a (+ (* -1/2 (/ b a)) (* 1/4 b))))
(* -1 (* (pow a 3) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2))))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (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))))))
(* b (+ 1/2 (* -1/4 a)))
(* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))
(* b (- (* 1/48 (pow a 2)) 1/4))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
1/2
(+ 1/2 (* 1/6 b))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(exp b)
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2)))
(* -1 (* b (+ 1/4 (* -1/48 (pow a 2)))))
Outputs
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(+ (log 2) (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(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))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 #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))))
(+ (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)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) a #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))))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b)
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b)
(+ (* 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))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 a)
(-.f64 a #s(literal -1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 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))
(+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 a a) #s(literal -1/4 binary64)) b)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(exp a)
(exp.f64 a)
a
(* a (+ 1 (/ 1 a)))
(-.f64 a #s(literal -1 binary64))
(* -1/4 (* a b))
(*.f64 (*.f64 #s(literal -1/4 binary64) a) b)
(* a (+ (* -1/4 b) (* 1/2 (/ b a))))
(*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a)
(* 1/48 (* (pow a 3) b))
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) b) #s(literal 1/48 binary64))
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))
(*.f64 (*.f64 b (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3))))))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/48 binary64) b)) (pow.f64 a #s(literal 3 binary64)))
(* 1/48 (* (pow a 2) b))
(*.f64 (*.f64 (*.f64 a a) b) #s(literal 1/48 binary64))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))
(*.f64 (*.f64 b (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (*.f64 a a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(* -1 (* a (+ (* -1/2 (/ b a)) (* 1/4 b))))
(*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a)
(* -1 (* (pow a 3) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2))))))
(*.f64 (*.f64 b (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/48 binary64) b)) (pow.f64 a #s(literal 3 binary64)))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(* b (+ 1/2 (* -1/4 a)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b)
(* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b)
(* b (- (* 1/48 (pow a 2)) 1/4))
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 a a) #s(literal -1/4 binary64)) b)
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 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 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(exp b)
(exp.f64 b)
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 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)))))
(* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2)))
(*.f64 (neg.f64 b) (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a) #s(literal 1/2 binary64)))
(* -1 (* b (+ 1/4 (* -1/48 (pow a 2)))))
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 a a) #s(literal -1/4 binary64)) b)

rewrite201.0ms (1.9%)

Memory
23.1MiB live, 222.4MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044308
076303
1304303
22252303
08211298
Stop Event
iter limit
node limit
iter limit
Counts
23 → 262
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
#s(approx (/ b (+ (exp a) 1)) (*.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 #s(literal 1 binary64) a))))
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))
(fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.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))))
(exp.f64 a)
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (-.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) (*.f64 (-.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))) (-.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))))
(/.f64 (fma.f64 (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64))) (*.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) (/.f64 (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))))
(-.f64 (/.f64 (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (-.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #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)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))))
(+.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 b #s(literal 1/2 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)))
(*.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
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(/.f64 (+.f64 (pow.f64 #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(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 #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(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #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))) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 #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(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (-.f64 #s(approx (exp 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))) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 #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(literal 2 binary64)) (-.f64 #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))) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #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))) (exp.f64 a))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) (/.f64 (pow.f64 #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(literal 2 binary64)) (-.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(+.f64 (+.f64 #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))) (cosh.f64 a)) (sinh.f64 a))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (-.f64 #s(approx (exp 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))) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 #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(literal 3 binary64)) (fma.f64 #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (-.f64 #s(approx (exp 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))) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.f64 #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))) (exp.f64 a))
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) a)
(pow.f64 (exp.f64 a) #s(literal 1 binary64))
(/.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 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (sinh.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 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 a))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(fma.f64 (cosh.f64 a) #s(literal 1 binary64) (*.f64 (sinh.f64 a) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 a) (*.f64 #s(literal 1 binary64) (sinh.f64 a)))
(-.f64 (/.f64 (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))))
(exp.f64 a)
(+.f64 (*.f64 (cosh.f64 a) #s(literal 1 binary64)) (*.f64 (sinh.f64 a) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 a)) (*.f64 #s(literal 1 binary64) (sinh.f64 a)))
(+.f64 (sinh.f64 a) (cosh.f64 a))
(+.f64 (cosh.f64 a) (sinh.f64 a))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (*.f64 a b) (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 b #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 b #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) b))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 b) #s(literal 1/6 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))

eval47.0ms (0.4%)

Memory
-15.3MiB live, 76.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 14 422 to 1 704 computations (88.2% saved)

prune30.0ms (0.3%)

Memory
0.6MiB live, 53.6MiB allocated; 6ms collecting garbage
Pruning

28 alts after pruning (16 fresh and 12 done)

PrunedKeptTotal
New3336339
Fresh21012
Picked235
Done099
Total33728365
Accuracy
99.0%
Counts
365 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.8%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
51.9%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
51.7%
(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)))))
51.2%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
48.5%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
47.9%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
47.9%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
47.7%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
98.1%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
48.5%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
24.2%
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 a b) (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 a b) (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) #s(literal -1/4 binary64)))) (pow.f64 (*.f64 (*.f64 a b) (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
47.5%
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) b) (-.f64 (*.f64 #s(literal -1/4 binary64) a) #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
57.2%
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
26.8%
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/48 binary64) b)) (pow.f64 a #s(literal 3 binary64))))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
46.6%
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
47.8%
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
46.8%
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 #s(literal -1/4 binary64) a) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
48.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
49.4%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
45.2%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
46.8%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
48.1%
#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)))))
48.5%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 #s(approx (/ (log (+ 1 (exp a))) (neg b)) (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
47.5%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)))))))
48.1%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))))))
47.0%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
46.9%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
46.6%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
Compiler

Compiled 1 917 to 789 computations (58.8% saved)

regimes54.0ms (0.5%)

Memory
-11.3MiB live, 81.9MiB allocated; 3ms collecting garbage
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (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 a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #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))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 #s(literal -1/4 binary64) a) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) b) (-.f64 (*.f64 #s(literal -1/4 binary64) a) #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 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 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 #s(approx (/ (log (+ 1 (exp a))) (neg b)) (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/48 binary64) b)) (pow.f64 a #s(literal 3 binary64))))) (log1p.f64 #s(approx (exp a) #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)))) (fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
#s(approx (log (+ (exp a) (exp b))) #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)))))))
(log.f64 (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 a b) (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 a b) (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) #s(literal -1/4 binary64)))) (pow.f64 (*.f64 (*.f64 a b) (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(-.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)))))
#s(approx (log (+ (exp a) (exp b))) (/.f64 (+.f64 (pow.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) (/.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 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (pow.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (*.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
Calls

6 calls:

11.0ms
b
10.0ms
a
8.0ms
(exp.f64 a)
8.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
98.1%1(exp.f64 b)
98.1%1(exp.f64 a)
98.1%1(+.f64 (exp.f64 a) (exp.f64 b))
98.1%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.1%1a
98.1%1b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes41.0ms (0.4%)

Memory
17.9MiB live, 64.6MiB allocated; 2ms collecting garbage
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (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 a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #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))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 #s(literal -1/4 binary64) a) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) b) (-.f64 (*.f64 #s(literal -1/4 binary64) a) #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 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 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 #s(approx (/ (log (+ 1 (exp a))) (neg b)) (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/48 binary64) b)) (pow.f64 a #s(literal 3 binary64))))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
Calls

6 calls:

8.0ms
b
8.0ms
a
7.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
58.8%2(exp.f64 b)
57.2%1(exp.f64 a)
58.8%2(+.f64 (exp.f64 a) (exp.f64 b))
58.8%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
57.2%1a
58.8%2b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes42.0ms (0.4%)

Memory
-32.9MiB live, 62.7MiB allocated; 5ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (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 a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #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))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 #s(literal -1/4 binary64) a) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) b) (-.f64 (*.f64 #s(literal -1/4 binary64) a) #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 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 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 #s(approx (/ (log (+ 1 (exp a))) (neg b)) (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/48 binary64) b)) (pow.f64 a #s(literal 3 binary64))))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
Calls

6 calls:

9.0ms
b
7.0ms
a
6.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
57.2%1(exp.f64 a)
57.2%1a
57.2%1(exp.f64 b)
57.2%1(+.f64 (exp.f64 a) (exp.f64 b))
57.2%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
57.2%1b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes33.0ms (0.3%)

Memory
5.1MiB live, 51.9MiB allocated; 1ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (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 a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #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))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 #s(literal -1/4 binary64) a) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) b) (-.f64 (*.f64 #s(literal -1/4 binary64) a) #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 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 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
Outputs
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
Calls

6 calls:

6.0ms
a
6.0ms
b
5.0ms
(exp.f64 b)
5.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
51.2%1(exp.f64 b)
51.2%1(exp.f64 a)
51.2%1(+.f64 (exp.f64 a) (exp.f64 b))
51.2%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
51.2%1a
51.2%1b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes32.0ms (0.3%)

Memory
3.7MiB live, 50.7MiB allocated; 1ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (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 a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #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))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 #s(literal -1/4 binary64) a) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) b) (-.f64 (*.f64 #s(literal -1/4 binary64) a) #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 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 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
Outputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
Calls

6 calls:

6.0ms
a
6.0ms
b
5.0ms
(exp.f64 b)
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
51.2%2(exp.f64 b)
51.1%2(exp.f64 a)
51.1%2(+.f64 (exp.f64 a) (exp.f64 b))
51.1%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
51.5%2b
51.1%2a
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes30.0ms (0.3%)

Memory
-1.5MiB live, 46.7MiB allocated; 3ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (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 a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #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))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 #s(literal -1/4 binary64) a) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) b) (-.f64 (*.f64 #s(literal -1/4 binary64) a) #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
Outputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
Calls

6 calls:

6.0ms
(exp.f64 a)
5.0ms
b
5.0ms
a
4.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
49.4%1(exp.f64 a)
49.4%1a
49.4%1(+.f64 (exp.f64 a) (exp.f64 b))
49.4%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
49.4%1(exp.f64 b)
51.0%2b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes28.0ms (0.3%)

Memory
-2.5MiB live, 44.4MiB allocated; 2ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (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 a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #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))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 #s(literal -1/4 binary64) a) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) b) (-.f64 (*.f64 #s(literal -1/4 binary64) a) #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)))))))
Outputs
#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

6 calls:

5.0ms
a
5.0ms
b
5.0ms
(exp.f64 a)
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
48.1%1(exp.f64 a)
48.1%1(exp.f64 b)
48.1%1(+.f64 (exp.f64 a) (exp.f64 b))
48.1%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
48.1%1a
48.1%1b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes9.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated; 0ms collecting garbage
Accuracy

Total -1.3b remaining (-3.7%)

Threshold costs -1.3b (-3.7%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
Calls

6 calls:

2.0ms
a
2.0ms
b
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
46.8%1(exp.f64 b)
46.8%1(+.f64 (exp.f64 a) (exp.f64 b))
46.8%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
46.8%1(exp.f64 a)
46.8%1b
46.8%1a
Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch20.0ms (0.2%)

Memory
25.2MiB live, 25.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-2.112684609812429e-11
-3.6602235491543344e-19
Samples
9.0ms70×1valid
4.0ms74×0valid
Compiler

Compiled 252 to 227 computations (9.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 3.0ms (34.4% of total)
ival-log: 3.0ms (34.4% of total)
adjust: 1.0ms (11.5% of total)
ival-add: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Memory
-26.7MiB live, 20.1MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
1.6154675347478005e-143
1.3777850259221079e-142
Samples
9.0ms47×1valid
3.0ms49×0valid
Compiler

Compiled 129 to 131 computations (-1.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log: 5.0ms (53.6% of total)
ival-exp: 3.0ms (32.2% of total)
adjust: 1.0ms (10.7% of total)
ival-add: 1.0ms (10.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.6154675347478005e-143
1.3777850259221079e-142
Compiler

Compiled 183 to 161 computations (12% saved)

simplify46.0ms (0.4%)

Memory
7.7MiB live, 54.4MiB allocated; 3ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055173
167173
293173
3169173
4582173
55252173
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 b #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(if (<=.f64 b #s(literal 686479766013061/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304 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))))
(if (<=.f64 b #s(literal 686479766013061/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ 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))) (log1p.f64 #s(approx (exp a) #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))))
(if (<=.f64 b #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(if (<=.f64 b #s(literal 686479766013061/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304 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))))
(if (<=.f64 b #s(literal 686479766013061/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ 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))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))

derivations446.0ms (4.3%)

Memory
-17.6MiB live, 313.4MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02621241
18681218
234711197
084671058
099370
1317370
21186366
35037366
08217320
Stop Event
fuel
iter limit
node limit
iter limit
node limit
Compiler

Compiled 173 to 56 computations (67.6% saved)

preprocess58.0ms (0.6%)

Memory
6.3MiB live, 97.4MiB allocated; 13ms collecting garbage
Compiler

Compiled 392 to 150 computations (61.7% saved)

end0.0ms (0%)

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

Profiling

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