symmetry log of sum of exp

Time bar (total: 9.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze196.0ms (2%)

Memory
-8.4MiB live, 186.1MiB allocated
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)

sample4.7s (47.8%)

Memory
142.3MiB live, 5 304.4MiB allocated
Samples
1.9s7 031×5exit
806.0ms1 484×2valid
737.0ms2 333×1valid
316.0ms4 439×0valid
102.0ms951×1exit
Precisions
Click to see histograms. Total time spent on operations: 3.0s
ival-log: 1.3s (44% of total)
ival-exp: 849.0ms (28.7% of total)
adjust: 523.0ms (17.7% of total)
ival-add: 268.0ms (9% of total)
ival-true: 13.0ms (0.4% of total)
ival-assert: 7.0ms (0.2% of total)
Bogosity

explain139.0ms (1.4%)

Memory
8.0MiB live, 166.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1260-0-(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)))sensitivity1201
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))oflow-rescue40
(+.f64 (exp.f64 a) (exp.f64 b))overflow4
(exp.f64 b)overflow4
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))uflow-rescue20
(+.f64 (exp.f64 a) (exp.f64 b))underflow2
(exp.f64 a)underflow62
(exp.f64 b)underflow61
Confusion
Predicted +Predicted -
+1260
-0130
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12600
-01129
Precision?
0.9921259842519685
Recall?
1.0
Freqs
test
numberfreq
0130
1126
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
46.0ms98×2valid
26.0ms136×1valid
19.0ms278×0valid
Compiler

Compiled 44 to 22 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-log: 38.0ms (53.6% of total)
ival-exp: 24.0ms (33.8% of total)
adjust: 5.0ms (7.1% of total)
ival-add: 4.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess18.0ms (0.2%)

Memory
-25.1MiB live, 13.3MiB allocated
Algorithm
egg-herbie
Rules
24×sub-neg
22×+-commutative
16×exp-diff
16×exp-sum
14×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01636
13236
24636
35536
46636
58336
69836
710636
810936
066
0106
1116
0116
Stop Event
iter limit
saturated
iter limit
saturated
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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.5%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 6 to 6 computations (0% saved)

simplify3.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
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)))
Rules
lift-exp.f64
lower-+.f32
lower-exp.f32
lift-+.f64
lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
11117
01117
Stop Event
iter limit
saturated
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

localize86.0ms (0.9%)

Memory
1.3MiB live, 39.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 b)
accuracy0
(exp.f64 a)
accuracy0.015625
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy29.091477595217263
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
48.0ms68×1valid
23.0ms49×2valid
8.0ms139×0valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-exp: 47.0ms (66.7% of total)
ival-log: 19.0ms (27% of total)
adjust: 2.0ms (2.8% of total)
ival-add: 2.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series112.0ms (1.1%)

Memory
-1.4MiB live, 73.6MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())
#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())
Outputs
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ b (exp a))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ 1 b) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp b))) (taylor 0 a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) (taylor 0 a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) (taylor 0 a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ a (exp b))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 a) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ 1 (* 1/2 a)))) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
41.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
27.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
26.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
15.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
1.0ms
b
@0
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))

simplify300.0ms (3.1%)

Memory
20.4MiB live, 129.6MiB allocated
Algorithm
egg-herbie
Rules
18 508×lower-fma.f64
18 508×lower-fma.f32
5 052×lower-+.f64
5 052×lower-+.f32
4 904×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099564
1274564
2753556
32519548
08543500
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(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
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp b)
(exp b)
(exp b)
(exp b)
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp b)
(exp b)
(exp b)
(exp b)
(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)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp a)
(exp a)
(exp a)
(exp a)
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp a)
(exp a)
(exp a)
(exp a)
Outputs
(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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 b (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) b)))) b (log1p.f64 (exp.f64 a)))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 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 (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
#s(literal 1 binary64)
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 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))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(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 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) a)) 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 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (*.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))) a)))) 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 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))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)

rewrite118.0ms (1.2%)

Memory
11.9MiB live, 58.4MiB allocated
Rules
812×lower-*.f64
812×lower-*.f32
800×lower-fma.f64
800×lower-fma.f32
614×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
01015
12415
215015
0140915
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
4 → 77
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
(exp.f64 b)
Outputs
(/.f64 (-.f64 (*.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 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (*.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (+.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 (-.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (*.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) (+.f64 (log.f64 (+.f64 (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 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) (fma.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 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (fma.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (*.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 (-.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))) (fma.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (fma.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (log.f64 (+.f64 (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))))))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64))))
(+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (neg.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (fma.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (-.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.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 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 (+.f64 b a)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 9 binary64)) (pow.f64 (exp.f64 a) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))) (fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (fma.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 (+.f64 b a)) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 9 binary64)) (pow.f64 (exp.f64 a) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 (+.f64 b a)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 9 binary64)) (pow.f64 (exp.f64 a) #s(literal 9 binary64))) (*.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 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (neg.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 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 (exp.f64 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))))
(neg.f64 (/.f64 (neg.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))))
(neg.f64 (/.f64 (neg.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)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (fma.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (+.f64 (exp.f64 b) (exp.f64 a)) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
(exp.f64 b)

eval44.0ms (0.4%)

Memory
-15.3MiB live, 22.9MiB allocated
Compiler

Compiled 2 788 to 411 computations (85.3% saved)

prune9.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1409149
Fresh000
Picked011
Done000
Total14010150
Accuracy
99.0%
Counts
150 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.5%
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
54.5%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
54.1%
(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)))))
54.0%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
53.2%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
51.6%
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
54.1%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
98.4%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
51.6%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
53.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
Compiler

Compiled 156 to 150 computations (3.8% saved)

simplify19.0ms (0.2%)

Memory
-29.3MiB live, 9.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 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
#s(approx (exp b) (+.f64 b #s(literal 1 binary64)))
cost-diff0
(exp.f64 a)
cost-diff0
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))
cost-diff0
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
cost-diff0
(exp.f64 b)
cost-diff0
#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))))
Rules
456×lower-fma.f32
450×lower-fma.f64
174×lower-*.f64
174×lower-*.f32
152×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030191
052191
167191
283191
3146191
4280191
5366191
6389191
0389191
Stop Event
iter limit
saturated
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) (+.f64 b #s(literal 1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))
(exp.f64 a)
a
#s(approx (exp b) (+.f64 b #s(literal 1 binary64)))
(+.f64 b #s(literal 1 binary64))
b
#s(literal 1 binary64)
(log.f64 (+.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 (/.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)))
(+.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) (+.f64 b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)))
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))
(+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a))
(exp.f64 a)
a
#s(approx (exp b) (+.f64 b #s(literal 1 binary64)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(+.f64 b #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) b)
b
#s(literal 1 binary64)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #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)

localize158.0ms (1.6%)

Memory
10.5MiB live, 88.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
accuracy0.015625
(+.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))))
accuracy1.8377682328029037
#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)))
accuracy29.091477595217263
(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)))))
accuracy0
(exp.f64 a)
accuracy0.015625
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))
accuracy1.8962332903935277
#s(approx (exp b) (+.f64 b #s(literal 1 binary64)))
accuracy29.091477595217263
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
accuracy0
(exp.f64 b)
accuracy0.015625
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
accuracy29.091477595217263
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
accuracy30.49721072365359
#s(approx (exp a) #s(literal 1 binary64))
accuracy0
(exp.f64 a)
accuracy0.0078125
(log1p.f64 (exp.f64 a))
accuracy29.77319208073432
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
accuracy0.015625
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
accuracy0.015625
(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy0.01953125
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy0.9995684296183192
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
Samples
36.0ms49×2valid
26.0ms68×1valid
24.0ms139×0valid
Compiler

Compiled 139 to 22 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-log: 20.0ms (31.7% of total)
ival-exp: 12.0ms (19% of total)
ival-add: 10.0ms (15.9% of total)
adjust: 8.0ms (12.7% of total)
ival-mult: 4.0ms (6.3% of total)
const: 4.0ms (6.3% of total)
ival-div: 3.0ms (4.8% of total)
ival-log1p: 2.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series101.0ms (1%)

Memory
15.6MiB live, 91.0MiB allocated
Counts
18 → 336
Calls
Call 1
Inputs
#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())
#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 a) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 a) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())
#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ())
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ())
#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) (patch #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())
#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ b (exp a))) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ 1 b) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
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#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor -inf a) (#s(alt (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor -inf a) (#s(alt (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor -inf a) (#s(alt (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor -inf a) (#s(alt (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
28.0ms
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) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/6 b) 1/2) b) 1))
21.0ms
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) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/6 b) 1/2) b) 1))
21.0ms
b
@0
((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/6 b) 1/2) b) 1))
12.0ms
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) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/6 b) 1/2) b) 1))
8.0ms
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) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/6 b) 1/2) b) 1))

simplify224.0ms (2.3%)

Memory
23.2MiB live, 136.1MiB allocated
Algorithm
egg-herbie
Rules
19 576×lower-fma.f64
19 576×lower-fma.f32
4 402×lower-*.f64
4 402×lower-*.f32
2 810×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01852985
15272962
215552915
351642901
080912611
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(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))))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (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))))))
(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
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(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
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(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
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(/ b (+ 1 (exp a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp b)
(exp b)
(exp b)
(exp b)
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp b)
(exp b)
(exp b)
(exp b)
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp b)
(exp b)
(exp b)
(exp b)
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(/ b (+ 1 (exp a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp b)
(exp b)
(exp b)
(exp b)
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp b)
(exp b)
(exp b)
(exp b)
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp b)
(exp b)
(exp b)
(exp b)
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(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 (+ 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)
(+ (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))))))
(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 (+ 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)))))))
(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)))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(exp a)
(exp a)
(exp a)
(exp a)
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp a)
(exp a)
(exp a)
(exp a)
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(exp a)
(exp a)
(exp a)
(exp a)
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp a)
(exp a)
(exp a)
(exp a)
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
Outputs
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) 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 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) 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 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) 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 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 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 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 (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
#s(literal 1 binary64)
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 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))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) 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 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 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 b (exp.f64 a)) #s(literal 1 binary64))
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(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
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(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 (+ 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 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) a)) 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 2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 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 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))
(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 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) a)) 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 2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 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)))
(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 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) a)) 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 2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 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)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))

rewrite270.0ms (2.7%)

Memory
-2.4MiB live, 150.9MiB allocated
Rules
4 522×lower-/.f32
4 520×lower-/.f64
4 466×lower-fma.f32
4 460×lower-fma.f64
3 598×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030151
052151
1191151
21463151
08676151
Stop Event
iter limit
node limit
iter limit
Counts
18 → 348
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) (+.f64 b #s(literal 1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))
#s(approx (exp b) (+.f64 b #s(literal 1 binary64)))
(log.f64 (+.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))))
#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 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
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 (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 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
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(+.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))))) (neg.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 (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))
(+.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 (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(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 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))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #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 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) (pow.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) b) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 b (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 b (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64) #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 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))

eval153.0ms (1.6%)

Memory
-18.8MiB live, 137.5MiB allocated
Compiler

Compiled 14 676 to 1 737 computations (88.2% saved)

prune28.0ms (0.3%)

Memory
3.7MiB live, 81.2MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New76615781
Fresh314
Picked415
Done101
Total77417791
Accuracy
99.0%
Counts
791 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
51.1%
(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)))))
51.1%
(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)))))
98.4%
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))))
98.4%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))))
61.4%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
60.0%
#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))))
67.6%
#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))) (/.f64 #s(literal 1 binary64) (+.f64 (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 #s(literal 1 binary64) (exp.f64 a)) b))))))
51.6%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
53.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
49.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))))
50.9%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
51.3%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
50.1%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
50.5%
#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)))))
50.8%
#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)))))
50.7%
#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 392 to 335 computations (14.5% saved)

simplify88.0ms (0.9%)

Memory
2.1MiB live, 120.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
cost-diff0
(/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64))))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))))
cost-diff6720
(fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
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
#s(approx (exp a) #s(literal 1 binary64))
cost-diff0
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (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 #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)))))
cost-diff0
(+.f64 a #s(literal 1 binary64))
cost-diff0
#s(approx (exp a) (+.f64 a #s(literal 1 binary64)))
cost-diff0
(+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))
cost-diff0
(log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
cost-diff0
#s(approx (exp a) #s(literal 1 binary64))
cost-diff0
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
cost-diff0
(+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))))
cost-diff128
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))
cost-diff7680
(*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))
Rules
5 320×lower-fma.f32
5 312×lower-fma.f64
1 754×lower-*.f32
1 750×lower-*.f64
1 554×div-sub
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040299
070309
1110296
2216280
3592268
42090266
55665266
08228266
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))
(/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))))
b
(*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))
(neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))))
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
(*.f64 a #s(literal 2 binary64))
a
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))
#s(literal 1 binary64)
(neg.f64 (expm1.f64 a))
(expm1.f64 a)
(log1p.f64 (exp.f64 a))
(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) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
(+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))
#s(approx (exp a) (+.f64 a #s(literal 1 binary64)))
(+.f64 a #s(literal 1 binary64))
a
#s(literal 1 binary64)
#s(approx (exp b) (+.f64 b #s(literal 1 binary64)))
(+.f64 b #s(literal 1 binary64))
b
(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)))))
(+.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 (exp a) #s(literal 1 binary64))
#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)))
(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(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64))))
b
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
(*.f64 a #s(literal 2 binary64))
a
#s(literal 2 binary64)
(expm1.f64 a)
(log1p.f64 (exp.f64 a))
(exp.f64 a)
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (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 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))))
(neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)))
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
(expm1.f64 (*.f64 #s(literal 2 binary64) a))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
a
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))
(/.f64 #s(literal -1 binary64) (expm1.f64 a))
#s(literal 1 binary64)
(neg.f64 (expm1.f64 a))
(expm1.f64 a)
(log1p.f64 (exp.f64 a))
(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) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))
(+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
#s(approx (exp a) (+.f64 a #s(literal 1 binary64)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 a #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) a)
a
#s(literal 1 binary64)
#s(approx (exp b) (+.f64 b #s(literal 1 binary64)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(+.f64 b #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) b)
b
(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)))))
(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))) #s(approx (exp a) #s(literal 1 binary64))))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (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))) #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) (fma.f64 (fma.f64 (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(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (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)))))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64))))
(/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a)))
b
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
(expm1.f64 (*.f64 #s(literal 2 binary64) a))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
a
#s(literal 2 binary64)
(expm1.f64 a)
(log1p.f64 (exp.f64 a))
(exp.f64 a)

localize454.0ms (4.6%)

Memory
-24.0MiB live, 184.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(log1p.f64 (exp.f64 a))
accuracy0.01171875
(/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64))))
accuracy0.0234375
(fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
accuracy0.9995684296183192
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))))
accuracy0.015625
(+.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))))
accuracy1.8377682328029037
#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)))
accuracy29.091477595217263
(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)))))
accuracy30.49721072365359
#s(approx (exp a) #s(literal 1 binary64))
accuracy0.015625
(+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))
accuracy1.8962332903935277
#s(approx (exp b) (+.f64 b #s(literal 1 binary64)))
accuracy29.091477595217263
(log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
accuracy30.429501906386314
#s(approx (exp a) (+.f64 a #s(literal 1 binary64)))
accuracy0.0078125
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
accuracy29.77319208073432
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
accuracy30.49721072365359
#s(approx (exp a) #s(literal 1 binary64))
accuracy0.015625
(+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))
accuracy0.01953125
(/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))))
accuracy0.08203125
(*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))
accuracy0.9995684296183192
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))))
Samples
347.0ms139×0valid
44.0ms49×2valid
34.0ms68×1valid
Compiler

Compiled 246 to 33 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 397.0ms
ival-expm1: 317.0ms (79.8% of total)
ival-log: 19.0ms (4.8% of total)
ival-exp: 12.0ms (3% of total)
adjust: 10.0ms (2.5% of total)
ival-add: 10.0ms (2.5% of total)
ival-mult: 10.0ms (2.5% of total)
ival-div: 7.0ms (1.8% of total)
const: 4.0ms (1% of total)
ival-neg: 4.0ms (1% of total)
ival-log1p: 2.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series76.0ms (0.8%)

Memory
4.9MiB live, 123.1MiB allocated
Counts
21 → 384
Calls
Call 1
Inputs
#s(alt (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))) (patch (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) (patch (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (patch #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 a #s(literal 1 binary64)) (patch (+.f64 a #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())
#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())
#s(alt (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (patch (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (expm1.f64 (*.f64 a #s(literal 2 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (patch (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) #<representation binary64>) () ())
#s(alt #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) (patch #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ())
Outputs
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a))))))) (taylor 0 b) (#s(alt (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a))))))) (taylor 0 b) (#s(alt (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a))))))) (taylor 0 b) (#s(alt (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ b (exp a))) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor 0 b) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ b (exp a))) (taylor 0 b) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) (taylor 0 b) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (taylor 0 b) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ 1 b) (taylor 0 b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (taylor 0 b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ b (- (exp (* 2 a)) 1)) (taylor -inf a) (#s(alt (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (patch (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ b (- (exp (* 2 a)) 1)) (taylor -inf a) (#s(alt (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (patch (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ b (- (exp (* 2 a)) 1)) (taylor -inf a) (#s(alt (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (patch (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ b (- (exp (* 2 a)) 1)) (taylor -inf a) (#s(alt (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (patch (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 a)) 1) (taylor -inf a) (#s(alt (expm1.f64 (*.f64 a #s(literal 2 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 a)) 1) (taylor -inf a) (#s(alt (expm1.f64 (*.f64 a #s(literal 2 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 a)) 1) (taylor -inf a) (#s(alt (expm1.f64 (*.f64 a #s(literal 2 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 a)) 1) (taylor -inf a) (#s(alt (expm1.f64 (*.f64 a #s(literal 2 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) (taylor -inf a) (#s(alt (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (patch (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) (taylor -inf a) (#s(alt (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (patch (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) (taylor -inf a) (#s(alt (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (patch (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) (taylor -inf a) (#s(alt (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (patch (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
18.0ms
a
@-inf
((* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1)))) (/ 1 (neg (- (exp a) 1))) (log (+ (exp a) (exp b))) (+ (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (exp b) (log (+ 1 (exp a))))
17.0ms
a
@inf
((* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1)))) (/ 1 (neg (- (exp a) 1))) (log (+ (exp a) (exp b))) (+ (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (exp b) (log (+ 1 (exp a))))
12.0ms
b
@inf
((* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1)))) (/ 1 (neg (- (exp a) 1))) (log (+ (exp a) (exp b))) (+ (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (exp b) (log (+ 1 (exp a))))
9.0ms
b
@-inf
((* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1)))) (/ 1 (neg (- (exp a) 1))) (log (+ (exp a) (exp b))) (+ (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (exp b) (log (+ 1 (exp a))))
4.0ms
b
@0
((* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1)))) (/ 1 (neg (- (exp a) 1))) (log (+ (exp a) (exp b))) (+ (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (exp b) (log (+ 1 (exp a))))

simplify139.0ms (1.4%)

Memory
3.9MiB live, 197.1MiB allocated
Algorithm
egg-herbie
Rules
13 424×lower-fma.f64
13 424×lower-fma.f32
3 930×lower-*.f64
3 930×lower-*.f32
3 560×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02834138
18203982
225413884
083183203
Stop Event
iter limit
node limit
Counts
384 → 382
Calls
Call 1
Inputs
(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))))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a)))))))
(+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a)))))))
(+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 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))))))
(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)))))))
(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
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))))
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))))
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))))
(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))))))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a))))))
(* b (- (+ (/ 1 (- 1 (exp (* 2 a)))) (/ (log (+ 1 (exp a))) b)) (/ (exp a) (- 1 (exp (* 2 a))))))
(* b (- (+ (/ 1 (- 1 (exp (* 2 a)))) (/ (log (+ 1 (exp a))) b)) (/ (exp a) (- 1 (exp (* 2 a))))))
(* b (- (+ (/ 1 (- 1 (exp (* 2 a)))) (/ (log (+ 1 (exp a))) b)) (/ (exp a) (- 1 (exp (* 2 a))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp b)
(exp b)
(exp b)
(exp b)
(* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1))))
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1))))
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(exp b)
(exp b)
(exp b)
(exp b)
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- 1 (exp a)) (- 1 (exp (* 2 a))))))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- 1 (exp a)) (- 1 (exp (* 2 a))))))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- 1 (exp a)) (- 1 (exp (* 2 a))))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp b)
(exp b)
(exp b)
(exp b)
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1))))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1))))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(exp b)
(exp b)
(exp b)
(exp b)
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ -1 a)
(/ (- (* 1/2 a) 1) a)
(/ (- (* a (+ 1/2 (* -1/12 a))) 1) a)
(/ (- (* a (+ 1/2 (* a (- (* 1/720 (pow a 2)) 1/12)))) 1) a)
(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)) (* 1/2 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 1/4 b) (* a (- (+ 1/8 (+ (* 1/12 b) (* 1/2 b))) (+ (* 1/4 b) (* 1/3 b)))))) (* 1/2 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 1/4 b) (* a (- (+ 1/8 (+ (* 1/12 b) (+ (* 1/2 b) (* a (- (+ (* 1/48 b) (+ (* 1/4 b) (* 1/3 b))) (+ (* 1/12 b) (+ (* 1/6 b) (+ (* 1/2 b) (* 2/3 (- (* 1/4 b) (* 1/2 b))))))))))) (+ (* 1/4 b) (* 1/3 b)))))) (* 1/2 b)))))
(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)
(+ (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))))))
(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))))))
1
(+ 1 a)
(+ 1 a)
(+ 1 a)
(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)))))))
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* 1/4 b)) (* 1/2 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 1/4 b) (* a (- (+ 1/8 (+ (* 1/12 b) (* 1/2 b))) (+ (* 1/4 b) (* 1/3 b)))))) (* 1/2 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 1/4 b) (* a (- (+ 1/8 (+ (* 1/12 b) (+ (* 1/2 b) (* a (- (+ (* 1/48 b) (+ (* 1/4 b) (* 1/3 b))) (+ (* 1/12 b) (+ (* 1/6 b) (+ (* 1/2 b) (* 2/3 (- (* 1/4 b) (* 1/2 b))))))))))) (+ (* 1/4 b) (* 1/3 b)))))) (* 1/2 b)))))
(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))))))
(* 1/2 (/ b a))
(/ (+ (* -1/2 (* a b)) (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/2 b) (* 1/3 b)))) (* 1/2 b)))) a)
(/ (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1 (+ (* -1/2 b) (* 1/3 b))) (+ (* -1/3 b) (* 1/6 b))))) (+ (* -1/2 b) (* 1/3 b)))) (* 1/2 b)))) a)
(* 2 a)
(* a (+ 2 (* 2 a)))
(* a (+ 2 (* a (+ 2 (* 4/3 a)))))
(* a (+ 2 (* a (+ 2 (* a (+ 4/3 (* 2/3 a)))))))
(* 1/2 b)
(+ (* 1/2 b) (* a (- (* 1/4 b) (* 1/2 b))))
(+ (* 1/2 b) (* a (- (+ (* 1/4 b) (* a (- (+ (* 1/12 b) (* 1/2 b)) (+ (* 1/4 b) (* 1/3 b))))) (* 1/2 b))))
(+ (* 1/2 b) (* a (- (+ (* 1/4 b) (* a (- (+ (* 1/12 b) (+ (* 1/2 b) (* a (- (+ (* 1/48 b) (+ (* 1/4 b) (* 1/3 b))) (+ (* 1/12 b) (+ (* 1/6 b) (+ (* 1/2 b) (* 2/3 (- (* 1/4 b) (* 1/2 b)))))))))) (+ (* 1/4 b) (* 1/3 b))))) (* 1/2 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 (exp (* 2 a))) (- 1 (exp a)))
(/ (- 1 (exp (* 2 a))) (- 1 (exp a)))
(/ (- 1 (exp (* 2 a))) (- 1 (exp a)))
(/ (- 1 (exp (* 2 a))) (- 1 (exp a)))
(/ 1 (- 1 (exp a)))
(/ 1 (- 1 (exp a)))
(/ 1 (- 1 (exp a)))
(/ 1 (- 1 (exp a)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))))
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))))
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))))
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(exp a)
(exp a)
(exp a)
(exp a)
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp a)
(exp a)
(exp a)
(exp a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(/ (- 1 (exp (* 2 a))) (- 1 (exp a)))
(/ (- 1 (exp (* 2 a))) (- 1 (exp a)))
(/ (- 1 (exp (* 2 a))) (- 1 (exp a)))
(/ (- 1 (exp (* 2 a))) (- 1 (exp a)))
(/ 1 (- 1 (exp a)))
(/ 1 (- 1 (exp a)))
(/ 1 (- 1 (exp a)))
(/ 1 (- 1 (exp a)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))))
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))))
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))))
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(exp a)
(exp a)
(exp a)
(exp a)
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp a)
(exp a)
(exp a)
(exp a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
Outputs
(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 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (/.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 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a)))))))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a)))))))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a)))))))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (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 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (/.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 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (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 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (/.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 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 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 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 (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)))
(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 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (/.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 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 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 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 (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
#s(literal 1 binary64)
(+ 1 b)
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(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(/ (- 1 (exp (* 2 a))) (- 1 (exp a)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a)))
(/ (- 1 (exp (* 2 a))) (- 1 (exp a)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a)))
(/ (- 1 (exp (* 2 a))) (- 1 (exp a)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a)))
(/ (- 1 (exp (* 2 a))) (- 1 (exp a)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a)))
(/ 1 (- 1 (exp a)))
(/.f64 #s(literal -1 binary64) (expm1.f64 a))
(/ 1 (- 1 (exp a)))
(/.f64 #s(literal -1 binary64) (expm1.f64 a))
(/ 1 (- 1 (exp a)))
(/.f64 #s(literal -1 binary64) (expm1.f64 a))
(/ 1 (- 1 (exp a)))
(/.f64 #s(literal -1 binary64) (expm1.f64 a))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
a
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(/ b (- (exp (* 2 a)) 1))
(/.f64 b (expm1.f64 (+.f64 a a)))
(/ b (- (exp (* 2 a)) 1))
(/.f64 b (expm1.f64 (+.f64 a a)))
(/ b (- (exp (* 2 a)) 1))
(/.f64 b (expm1.f64 (+.f64 a a)))
(/ b (- (exp (* 2 a)) 1))
(/.f64 b (expm1.f64 (+.f64 a a)))
(- (exp (* 2 a)) 1)
(expm1.f64 (+.f64 a a))
(- (exp (* 2 a)) 1)
(expm1.f64 (+.f64 a a))
(- (exp (* 2 a)) 1)
(expm1.f64 (+.f64 a a))
(- (exp (* 2 a)) 1)
(expm1.f64 (+.f64 a a))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))))
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))

rewrite199.0ms (2%)

Memory
-21.5MiB live, 295.7MiB allocated
Rules
4 728×lower-*.f32
4 724×lower-*.f64
4 714×lower-fma.f32
4 706×lower-fma.f64
4 700×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040227
070225
1276206
22204194
010068194
Stop Event
iter limit
node limit
iter limit
Counts
21 → 627
Calls
Call 1
Inputs
(*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
(log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
(+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))
#s(approx (exp a) (+.f64 a #s(literal 1 binary64)))
(+.f64 a #s(literal 1 binary64))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (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(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
#s(approx (exp b) (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 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))))
(/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64))))
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
(/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))))
#s(approx (exp b) (+.f64 b #s(literal 1 binary64)))
(log1p.f64 (exp.f64 a))
Outputs
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) (expm1.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) (expm1.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 (expm1.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (expm1.f64 a) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (expm1.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 (expm1.f64 a) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (expm1.f64 a)))
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (expm1.f64 a))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (expm1.f64 a))))
(*.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 a) (neg.f64 (expm1.f64 a))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (expm1.f64 a)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 a)))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 a)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 a)) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) a)))
(*.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 (expm1.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 a) (expm1.f64 a)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64)) (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))
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(/.f64 (neg.f64 (*.f64 b (expm1.f64 a))) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))))
(/.f64 (*.f64 (neg.f64 b) (expm1.f64 (*.f64 a #s(literal 3 binary64)))) (*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (*.f64 (neg.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (*.f64 b (expm1.f64 (*.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (*.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) b) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) b) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a #s(literal 3 binary64))) (neg.f64 b)) (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a #s(literal 3 binary64))) b) (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 2 binary64) a))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) b)))
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (neg.f64 b)) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) b) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) a))))
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) b)))
(/.f64 (/.f64 b (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)))) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 a)))))
(/.f64 (/.f64 b (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)))) (/.f64 #s(literal -1 binary64) (expm1.f64 a)))
(/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 #s(literal 2 binary64) a)))
(/.f64 (neg.f64 b) (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 a))) (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 b (expm1.f64 a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (neg.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 a))))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 a)) (neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) b)))
(/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 a))) (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 b (expm1.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (neg.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) b))))
(neg.f64 (/.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 #s(literal -1 binary64) (expm1.f64 a))))
(neg.f64 (/.f64 (neg.f64 b) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (exp.f64 a) (/.f64 b (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)))))
(fma.f64 (exp.f64 a) (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 b (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (neg.f64 b) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) b)) (/.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) b)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) b)) (/.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) b)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) b)) (/.f64 (neg.f64 (expm1.f64 a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) b)))
(-.f64 (/.f64 (exp.f64 a) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) b)) (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)))
(+.f64 (*.f64 (exp.f64 a) (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a)))) (/.f64 b (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)))))
(+.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (exp.f64 a)) (/.f64 b (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)))))
#s(approx (exp b) (+.f64 b #s(literal 1 binary64)))
(log1p.f64 (exp.f64 a))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(-.f64 (log.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (log.f64 (expm1.f64 a)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 a))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (log.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 a) (expm1.f64 a))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (exp.f64 a)) #s(literal 0 binary64))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))

eval149.0ms (1.5%)

Memory
30.7MiB live, 302.6MiB allocated
Compiler

Compiled 21 661 to 2 830 computations (86.9% saved)

prune35.0ms (0.4%)

Memory
-23.0MiB live, 100.2MiB allocated
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New1 09351 098
Fresh11011
Picked235
Done011
Total1 096191 115
Accuracy
99.0%
Counts
1 115 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
51.1%
(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)))))
51.1%
(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)))))
51.7%
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
98.4%
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 b (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))))
53.6%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #s(approx (/ 1 (neg (- (exp a) 1))) (/.f64 #s(literal -1 binary64) a)))) (log1p.f64 (exp.f64 a))))
98.4%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))))
61.4%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
60.0%
#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))))
67.6%
#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))) (/.f64 #s(literal 1 binary64) (+.f64 (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 #s(literal 1 binary64) (exp.f64 a)) b))))))
51.6%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
53.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
49.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))))
50.9%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
51.3%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
50.1%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
50.5%
#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)))))
50.8%
#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)))))
50.7%
#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 471 to 390 computations (17.2% saved)

simplify145.0ms (1.5%)

Memory
25.4MiB live, 217.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
cost-diff0
(/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64))))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
cost-diff6720
(fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 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
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
cost-diff0
(+.f64 a #s(literal 1 binary64))
cost-diff0
#s(approx (exp a) (+.f64 a #s(literal 1 binary64)))
cost-diff0
(log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))))
cost-diff0
(/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64))))
cost-diff0
#s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))))
cost-diff128
(*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))
Rules
15 792×lower-fma.f32
15 780×lower-fma.f64
3 390×lower-*.f32
3 380×lower-*.f64
2 822×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050359
089359
1137359
2262359
3734355
41679355
54948355
08414350
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))))
(+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))
(*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64))))
(*.f64 b (expm1.f64 a))
b
(expm1.f64 a)
a
(expm1.f64 (*.f64 a #s(literal 6 binary64)))
(*.f64 a #s(literal 6 binary64))
#s(literal 6 binary64)
(+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 a) #s(literal 4 binary64))
(exp.f64 a)
#s(literal 4 binary64)
#s(literal 1 binary64)
(pow.f64 (exp.f64 a) #s(literal 2 binary64))
#s(literal 2 binary64)
(log1p.f64 (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))))
(log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))
#s(approx (exp a) (+.f64 a #s(literal 1 binary64)))
(+.f64 a #s(literal 1 binary64))
a
#s(literal 1 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
a
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 a a)
a
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
(/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64))))
b
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
(*.f64 a #s(literal 2 binary64))
a
#s(literal 2 binary64)
(expm1.f64 a)
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (expm1.f64 a) (log1p.f64 (exp.f64 a))))
(+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (expm1.f64 a))
(/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64))))
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a)))
(*.f64 b (expm1.f64 a))
(*.f64 (expm1.f64 a) b)
b
(expm1.f64 a)
a
(expm1.f64 (*.f64 a #s(literal 6 binary64)))
(expm1.f64 (*.f64 #s(literal 6 binary64) a))
(*.f64 a #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) a)
#s(literal 6 binary64)
(+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64))))
(+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))
(pow.f64 (exp.f64 a) #s(literal 4 binary64))
(exp.f64 a)
#s(literal 4 binary64)
#s(literal 1 binary64)
(pow.f64 (exp.f64 a) #s(literal 2 binary64))
#s(literal 2 binary64)
(log1p.f64 (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
#s(approx (exp a) (+.f64 a #s(literal 1 binary64)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 a #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) a)
a
#s(literal 1 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
a
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64))
(*.f64 a a)
a
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (-.f64 #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
(-.f64 #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64))))
(/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a)))
b
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
(expm1.f64 (*.f64 #s(literal 2 binary64) a))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
a
#s(literal 2 binary64)
(expm1.f64 a)
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))

localize163.0ms (1.7%)

Memory
-25.1MiB live, 299.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64))))
accuracy0.0234375
(fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
accuracy0.9995684296183192
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
accuracy2.368937337539097
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
accuracy0.0078125
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy0.01171875
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
accuracy1.9686043638556874
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
accuracy2.412936294564867
#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
(log.f64 #s(literal 2 binary64))
accuracy0.0078125
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
accuracy1.8837813243965744
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
accuracy2.412936294564867
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
accuracy0
(+.f64 a #s(literal 1 binary64))
accuracy0.0078125
(log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))
accuracy2.0821581042002704
#s(approx (exp a) (+.f64 a #s(literal 1 binary64)))
accuracy2.412936294564867
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))))
accuracy0.07421875
(expm1.f64 (*.f64 a #s(literal 6 binary64)))
accuracy0.10546875
(*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
accuracy0.9995684296183192
#s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))))
accuracy14.849706756341678
(/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64))))
Samples
49.0ms116×1exit
38.0ms123×0valid
12.0ms2valid
7.0ms10×1valid
Compiler

Compiled 295 to 45 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 16.0ms (19.7% of total)
adjust: 12.0ms (14.7% of total)
ival-expm1: 12.0ms (14.7% of total)
ival-add: 12.0ms (14.7% of total)
ival-log: 7.0ms (8.6% of total)
ival-exp: 5.0ms (6.1% of total)
ival-div: 4.0ms (4.9% of total)
const: 4.0ms (4.9% of total)
ival-pow: 3.0ms (3.7% of total)
ival-pow2: 3.0ms (3.7% of total)
ival-log1p: 2.0ms (2.5% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series84.0ms (0.9%)

Memory
27.4MiB live, 145.6MiB allocated
Counts
24 → 396
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (patch (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))) (patch (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (patch #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 a #s(literal 1 binary64)) (patch (+.f64 a #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) (patch (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (patch (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (expm1.f64 (*.f64 a #s(literal 2 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (expm1.f64 (*.f64 a #s(literal 6 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 2 binary64)) (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (patch (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) (taylor 0 b) (#s(alt (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) (taylor 0 b) (#s(alt (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) (taylor 0 b) (#s(alt (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) (taylor 0 b) (#s(alt (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) (taylor 0 b) (#s(alt (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (patch (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) (taylor 0 b) (#s(alt (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (patch (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) (taylor 0 b) (#s(alt (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (patch (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) (taylor 0 b) (#s(alt (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (patch (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ())
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#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
19.0ms
a
@-inf
((+ (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ 1 (exp a)))) (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ (exp a) (exp b))) (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (- (exp (* a 6)) 1) (log 2) (+ (* (* a a) -1/192) 1/8) (log (+ 1 (exp a))))
18.0ms
a
@inf
((+ (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ 1 (exp a)))) (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ (exp a) (exp b))) (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (- (exp (* a 6)) 1) (log 2) (+ (* (* a a) -1/192) 1/8) (log (+ 1 (exp a))))
12.0ms
b
@-inf
((+ (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ 1 (exp a)))) (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ (exp a) (exp b))) (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (- (exp (* a 6)) 1) (log 2) (+ (* (* a a) -1/192) 1/8) (log (+ 1 (exp a))))
10.0ms
b
@inf
((+ (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ 1 (exp a)))) (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ (exp a) (exp b))) (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (- (exp (* a 6)) 1) (log 2) (+ (* (* a a) -1/192) 1/8) (log (+ 1 (exp a))))
5.0ms
b
@0
((+ (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ 1 (exp a)))) (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ (exp a) (exp b))) (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (- (exp (* a 6)) 1) (log 2) (+ (* (* a a) -1/192) 1/8) (log (+ 1 (exp a))))

simplify155.0ms (1.6%)

Memory
3.2MiB live, 192.8MiB allocated
Algorithm
egg-herbie
Rules
9 424×lower-fma.f64
9 424×lower-fma.f32
3 404×lower-*.f64
3 404×lower-*.f32
3 174×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03835081
111204948
235604807
377004807
080473979
Stop Event
iter limit
node limit
Counts
396 → 394
Calls
Call 1
Inputs
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(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))))))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(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))))))
(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))))))
(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))))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))))
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))))
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))))
(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))))))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(* b (+ (/ (log (+ 1 (exp a))) b) (/ (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1)) (- (exp (* 6 a)) 1))))
(* b (+ (/ (log (+ 1 (exp a))) b) (/ (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1)) (- (exp (* 6 a)) 1))))
(* b (+ (/ (log (+ 1 (exp a))) b) (/ (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1)) (- (exp (* 6 a)) 1))))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1))))
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1))))
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1)) (- (exp (* 6 a)) 1))))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1)) (- (exp (* 6 a)) 1))))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1)) (- (exp (* 6 a)) 1))))))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1))))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1))))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* 5/4 b)) (* 3/2 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 5/4 b) (* a (- (+ 1/8 (* 9/4 b)) (+ (* 3 b) (* 3 (- (* 5/4 b) (* 3/2 b)))))))) (* 3/2 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 5/4 b) (* a (- (+ 1/8 (+ (* 9/4 b) (* a (- (* 145/48 b) (+ (* 3 (- (* 9/4 b) (+ (* 3 b) (* 3 (- (* 5/4 b) (* 3/2 b)))))) (+ (* 9/2 b) (* 6 (- (* 5/4 b) (* 3/2 b))))))))) (+ (* 3 b) (* 3 (- (* 5/4 b) (* 3/2 b)))))))) (* 3/2 b)))))
(* 1/2 b)
(+ (* 1/2 b) (* a (- (* 5/4 b) (* 3/2 b))))
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(+ (* 1/2 b) (* a (- (+ (* 5/4 b) (* a (- (+ (* 9/4 b) (* a (- (* 145/48 b) (+ (* 3 (- (* 9/4 b) (+ (* 3 b) (* 3 (- (* 5/4 b) (* 3/2 b)))))) (+ (* 9/2 b) (* 6 (- (* 5/4 b) (* 3/2 b)))))))) (+ (* 3 b) (* 3 (- (* 5/4 b) (* 3/2 b))))))) (* 3/2 b))))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
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(+ (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))))))
(* 1/6 b)
(+ (* 1/6 b) (* a (- (* 1/12 b) (* 1/2 b))))
(+ (* 1/6 b) (* a (- (+ (* 1/12 b) (* a (- (* 1/36 b) (+ b (* 3 (- (* 1/12 b) (* 1/2 b))))))) (* 1/2 b))))
(+ (* 1/6 b) (* a (- (+ (* 1/12 b) (* a (- (+ (* 1/36 b) (* a (- (* 1/144 b) (+ (* 3/2 b) (+ (* 3 (- (* 1/36 b) (+ b (* 3 (- (* 1/12 b) (* 1/2 b)))))) (* 6 (- (* 1/12 b) (* 1/2 b)))))))) (+ b (* 3 (- (* 1/12 b) (* 1/2 b))))))) (* 1/2 b))))
(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)
(+ (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
(+ 1 a)
(+ 1 a)
(+ 1 a)
(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)
(+ (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)))))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
1/2
(+ 1/2 (* 1/8 a))
(+ 1/2 (* 1/8 a))
(+ 1/2 (* 1/8 a))
(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)
(+ (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)))))))
(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)))))))
1/2
(+ 1/2 (* 1/8 a))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* 1/4 b)) (* 1/2 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 1/4 b) (* a (- (+ 1/8 (+ (* 1/12 b) (* 1/2 b))) (+ (* 1/4 b) (* 1/3 b)))))) (* 1/2 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 1/4 b) (* a (- (+ 1/8 (+ (* 1/12 b) (+ (* 1/2 b) (* a (- (+ (* 1/48 b) (+ (* 1/4 b) (* 1/3 b))) (+ (* 1/12 b) (+ (* 1/6 b) (+ (* 1/2 b) (* 2/3 (- (* 1/4 b) (* 1/2 b))))))))))) (+ (* 1/4 b) (* 1/3 b)))))) (* 1/2 b)))))
(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))))))
(* 1/2 (/ b a))
(/ (+ (* -1/2 (* a b)) (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/2 b) (* 1/3 b)))) (* 1/2 b)))) a)
(/ (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1 (+ (* -1/2 b) (* 1/3 b))) (+ (* -1/3 b) (* 1/6 b))))) (+ (* -1/2 b) (* 1/3 b)))) (* 1/2 b)))) a)
(* 2 a)
(* a (+ 2 (* 2 a)))
(* a (+ 2 (* a (+ 2 (* 4/3 a)))))
(* a (+ 2 (* a (+ 2 (* a (+ 4/3 (* 2/3 a)))))))
(* 6 a)
(* a (+ 6 (* 18 a)))
(* a (+ 6 (* a (+ 18 (* 36 a)))))
(* a (+ 6 (* a (+ 18 (* a (+ 36 (* 54 a)))))))
1/8
(+ 1/8 (* -1/192 (pow a 2)))
(+ 1/8 (* -1/192 (pow a 2)))
(+ 1/8 (* -1/192 (pow a 2)))
(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)))))))
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(exp a)
(exp a)
(exp a)
(exp a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(* 1/8 (pow a 2))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))
(* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))
(* 1/8 a)
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(* -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))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 6 a)) 1)
(- (exp (* 6 a)) 1)
(- (exp (* 6 a)) 1)
(- (exp (* 6 a)) 1)
(* -1/192 (pow a 2))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(exp a)
(exp a)
(exp a)
(exp a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(* 1/8 (pow a 2))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))
(* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))
(* 1/8 a)
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(* -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 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* -1/192 (pow a 3))
(* -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))))))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(/ b (- (exp (* 2 a)) 1))
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 6 a)) 1)
(- (exp (* 6 a)) 1)
(- (exp (* 6 a)) 1)
(- (exp (* 6 a)) 1)
(* -1/192 (pow a 2))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
Outputs
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)))
(fma.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)))
(fma.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)))
(fma.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a)))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(*.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(*.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(*.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))))
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))
(*.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) 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 (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.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 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a)))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a)))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a)))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a)))
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1))
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) 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 (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.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 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (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 (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.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 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (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 (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.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 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
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(* (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 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)
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))

rewrite188.0ms (1.9%)

Memory
-3.9MiB live, 226.0MiB allocated
Rules
3 942×lower-*.f32
3 932×lower-*.f64
3 730×lower-/.f32
3 726×lower-/.f64
3 622×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050288
089288
1339252
22713252
08187250
Stop Event
iter limit
node limit
iter limit
Counts
24 → 737
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))
(*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))))
(/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))))
(log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))
#s(approx (exp a) (+.f64 a #s(literal 1 binary64)))
(+.f64 a #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
#s(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 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
(/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64))))
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
(expm1.f64 (*.f64 a #s(literal 6 binary64)))
(log.f64 #s(literal 2 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a))) (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.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 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a)))) (*.f64 (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a))) (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.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 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a))) (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a))) (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (*.f64 (expm1.f64 a) b)) (expm1.f64 (*.f64 a #s(literal 12 binary64)))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (*.f64 (expm1.f64 a) b)) (expm1.f64 (*.f64 a #s(literal 18 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 12 binary64))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 4 binary64) a))) (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (fma.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))))
(fma.f64 (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) (*.f64 (expm1.f64 a) b)) (pow.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) a)) #s(literal -1 binary64)) (fma.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))))
(fma.f64 (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (*.f64 (expm1.f64 a) b)) (pow.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) a)) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (fma.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))))
(fma.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) (fma.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))))
(fma.f64 (*.f64 (expm1.f64 a) b) (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (expm1.f64 a) b) (*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) a)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (fma.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))))
(fma.f64 (*.f64 (expm1.f64 a) b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a)))
(fma.f64 b (*.f64 (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (fma.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))))
(fma.f64 b (*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)) (expm1.f64 a)) (log1p.f64 (exp.f64 a)))
(fma.f64 b (*.f64 (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64))))) (log1p.f64 (exp.f64 a)))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (fma.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))) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)) #s(literal 1/64 binary64))) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 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 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) #s(literal -1/64 binary64))) (neg.f64 (fma.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 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) #s(literal -1/64 binary64)) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) #s(literal -1/64 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) #s(literal -1/64 binary64))))
(/.f64 #s(literal 1 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 -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64))))
(fma.f64 (*.f64 #s(literal -1/192 binary64) a) a #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 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.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 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 a a)))
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))

eval176.0ms (1.8%)

Memory
0.3MiB live, 274.2MiB allocated
Compiler

Compiled 34 800 to 3 972 computations (88.6% saved)

prune41.0ms (0.4%)

Memory
8.4MiB live, 94.5MiB allocated
Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New1 12491 133
Fresh1910
Picked235
Done044
Total1 127251 152
Accuracy
99.0%
Counts
1 152 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
51.1%
(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)))))
51.1%
(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)))))
51.2%
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b #s(approx (- (exp (* a 2)) 1) (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
98.4%
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 b (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))))
53.6%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #s(approx (/ 1 (neg (- (exp a) 1))) (/.f64 #s(literal -1 binary64) a)))) (log1p.f64 (exp.f64 a))))
54.2%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) #s(approx (- (exp (* a 6)) 1) (*.f64 #s(literal 6 binary64) a))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))))
61.4%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) a)) (*.f64 (expm1.f64 a) b))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))))
61.4%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
60.0%
#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))))
67.6%
#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))) (/.f64 #s(literal 1 binary64) (+.f64 (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 #s(literal 1 binary64) (exp.f64 a)) b))))))
51.6%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
53.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
49.5%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))))
50.9%
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
51.3%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
50.1%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
50.5%
#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)))))
50.8%
#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)))))
50.8%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 a a) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) a #s(literal -1/2 binary64))) a (log.f64 #s(literal 2 binary64)))))
50.7%
#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)))))
2.3%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))))
2.4%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
27.6%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) a) a))))
3.3%
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
Compiler

Compiled 861 to 502 computations (41.7% saved)

regimes59.0ms (0.6%)

Memory
2.6MiB live, 79.2MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
#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 a #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (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) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 a a) #s(literal -1/4 binary64)) (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))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) a) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
#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 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(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))) (fma.f64 (/.f64 b #s(approx (- (exp (* a 2)) 1) (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #s(approx (/ 1 (neg (- (exp a) 1))) (/.f64 #s(literal -1 binary64) a)))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) #s(approx (- (exp (* a 6)) 1) (*.f64 #s(literal 6 binary64) a))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 b (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) a)) (*.f64 (expm1.f64 a) b))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (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 #s(literal 1 binary64) (exp.f64 a)) b))))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
Calls

6 calls:

12.0ms
b
10.0ms
a
9.0ms
(exp.f64 a)
9.0ms
(exp.f64 b)
8.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
98.4%1a
98.4%1b
98.4%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.4%1(+.f64 (exp.f64 a) (exp.f64 b))
98.4%1(exp.f64 a)
98.4%1(exp.f64 b)
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes44.0ms (0.4%)

Memory
17.5MiB live, 56.0MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
#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 a #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (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) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 a a) #s(literal -1/4 binary64)) (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))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) a) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
#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 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(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))) (fma.f64 (/.f64 b #s(approx (- (exp (* a 2)) 1) (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

6 calls:

11.0ms
a
8.0ms
b
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.0%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.0%2(+.f64 (exp.f64 a) (exp.f64 b))
60.0%1(exp.f64 b)
98.5%2a
70.6%4b
98.5%2(exp.f64 a)
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes17.0ms (0.2%)

Memory
-19.5MiB live, 20.4MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
#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 a #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (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) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 a a) #s(literal -1/4 binary64)) (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))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) a) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
#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 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(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))) (fma.f64 (/.f64 b #s(approx (- (exp (* a 2)) 1) (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
Calls

2 calls:

8.0ms
(exp.f64 a)
7.0ms
a
Results
AccuracySegmentsBranch
98.4%2a
98.4%2(exp.f64 a)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes12.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
#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 a #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (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) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 a a) #s(literal -1/4 binary64)) (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))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) a) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
Calls

2 calls:

6.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.1%2a
98.1%2(exp.f64 a)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes19.0ms (0.2%)

Memory
-13.6MiB live, 24.9MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
#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 a #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (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) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 a a) #s(literal -1/4 binary64)) (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))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) a) a))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
Calls

4 calls:

6.0ms
a
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
96.7%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
96.7%2(+.f64 (exp.f64 a) (exp.f64 b))
97.1%2a
97.1%2(exp.f64 a)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes19.0ms (0.2%)

Memory
-10.4MiB live, 28.2MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
#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 a #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (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) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #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:

4.0ms
(exp.f64 b)
3.0ms
b
3.0ms
a
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
51.3%1(exp.f64 b)
51.3%1b
51.3%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
51.3%1(+.f64 (exp.f64 a) (exp.f64 b))
51.3%1a
51.3%1(exp.f64 a)
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes14.0ms (0.1%)

Memory
22.7MiB live, 22.7MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
#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 a #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (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:

3.0ms
b
3.0ms
a
2.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
50.9%1a
50.9%1b
50.9%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
50.9%1(+.f64 (exp.f64 a) (exp.f64 b))
50.9%1(exp.f64 b)
50.9%1(exp.f64 a)
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes10.0ms (0.1%)

Memory
-23.0MiB live, 15.7MiB allocated
Accuracy

Total -0.6b remaining (-1%)

Threshold costs -0.6b (-1%)

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

6 calls:

2.0ms
b
1.0ms
a
1.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
3.3%1b
3.3%1a
3.3%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.3%1(+.f64 (exp.f64 a) (exp.f64 b))
3.3%1(exp.f64 b)
3.3%1(exp.f64 a)
Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.68122720793653e-13
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.68122720793653e-13
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.68122720793653e-13
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.68122720793653e-13
Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify34.0ms (0.3%)

Memory
-8.8MiB live, 37.3MiB allocated
Algorithm
egg-herbie
Rules
+-commutative-binary64-+.f64
*-commutative-binary64-*.f64
1-exp-binary32-exp.f32
1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058265
166265
Stop Event
saturated
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 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp 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 (+ (/ 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))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.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)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
#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))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))

soundness784.0ms (8%)

Memory
33.4MiB live, 491.2MiB allocated
Rules
19 576×lower-fma.f64
19 576×lower-fma.f32
18 508×lower-fma.f64
18 508×lower-fma.f32
9 424×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03835081
111204948
235604807
377004807
080473979
099564
1274564
2753556
32519548
08543500
01852985
15272962
215552915
351642901
080912611
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 196 to 139 computations (29.1% saved)

preprocess61.0ms (0.6%)

Memory
24.8MiB live, 132.5MiB allocated
Compiler

Compiled 310 to 156 computations (49.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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