symmetry log of sum of exp

Time bar (total: 12.0s)

analyze163.0ms (1.4%)

Memory
-4.9MiB live, 215.2MiB 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)

sample4.6s (38.1%)

Memory
125.6MiB live, 5 343.1MiB allocated
Samples
2.0s6 752×5exit
780.0ms1 509×2valid
572.0ms2 427×1valid
286.0ms4 320×0valid
97.0ms953×1exit
Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-log: 1.1s (39.6% of total)
ival-exp: 791.0ms (29.7% of total)
adjust: 521.0ms (19.6% of total)
ival-add: 275.0ms (10.3% of total)
ival-true: 13.0ms (0.5% of total)
ival-assert: 7.0ms (0.3% of total)
Bogosity

preprocess15.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB 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)))
Symmetry

(sort a b)

explain167.0ms (1.4%)

Memory
-8.2MiB live, 185.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1250-0-(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))sensitivity1170
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))oflow-rescue60
(+.f64 (exp.f64 a) (exp.f64 b))overflow6
(exp.f64 b)overflow6
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))uflow-rescue20
(+.f64 (exp.f64 a) (exp.f64 b))underflow2
(exp.f64 a)underflow122
(exp.f64 b)underflow2
Confusion
Predicted +Predicted -
+1250
-0131
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12500
-00131
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0131
1125
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
49.0ms98×2valid
49.0ms126×1valid
20.0ms288×0valid
Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-exp: 47.0ms (47.3% of total)
ival-log: 38.0ms (38.2% of total)
ival-add: 7.0ms (7% of total)
adjust: 6.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory
6.5MiB live, 6.5MiB 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)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
b

localize60.0ms (0.5%)

Memory
-4.8MiB live, 83.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 b)
accuracy100.0%
(exp.f64 a)
accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy55.8%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
31.0ms49×2valid
12.0ms63×1valid
9.0ms144×0valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-log: 20.0ms (46.2% of total)
ival-exp: 13.0ms (30% of total)
adjust: 8.0ms (18.5% of total)
ival-add: 2.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series90.0ms (0.8%)

Memory
-22.0MiB live, 131.1MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))>
#<alt (+.f64 (exp.f64 a) (exp.f64 b))>
#<alt (exp.f64 a)>
#<alt (exp.f64 b)>
Outputs
#<alt (log (+ 1 (exp b)))>
#<alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))>
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))>
#<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))))))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<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))))))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
Calls

18 calls:

TimeVariablePointExpression
31.0ms
a
@inf
(log (+ (exp a) (exp b)))
20.0ms
b
@-inf
(log (+ (exp a) (exp b)))
20.0ms
a
@-inf
(log (+ (exp a) (exp b)))
17.0ms
b
@inf
(log (+ (exp a) (exp b)))
1.0ms
a
@0
(log (+ (exp a) (exp b)))

rewrite93.0ms (0.8%)

Memory
6.4MiB live, 118.1MiB allocated
Algorithm
batch-egg-rewrite
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
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(+.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(+.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (log.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (log.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (log.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (fma.f64 (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (*.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (fma.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (*.f64 (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))) (+.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (*.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (exp.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (+.f64 (exp.f64 a) (exp.f64 b)) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(neg.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (-.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))))
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 a a))) (exp.f64 (fma.f64 #s(literal 2 binary64) b (+.f64 b b)))) (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 b b))))))
(/.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 a a))) (exp.f64 (fma.f64 #s(literal 2 binary64) b (+.f64 b b)))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 a a))) (exp.f64 (fma.f64 #s(literal 2 binary64) b (+.f64 b b)))) (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 b b)))) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 a a))) (exp.f64 (fma.f64 #s(literal 2 binary64) b (+.f64 b b)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (fma.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) #s(literal 1 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) (-.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) (+.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 a a))) (exp.f64 (fma.f64 #s(literal 2 binary64) b (+.f64 b b)))) (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 b b)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 a a))) (exp.f64 (fma.f64 #s(literal 2 binary64) b (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(*.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))) (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 a a)))))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 a a))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))) (+.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))
(exp.f64 a)
(exp.f64 b)

simplify572.0ms (4.8%)

Memory
24.8MiB live, 627.5MiB 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
2757556
32515548
08549500
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(log (+ (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 (+ 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 (+ (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)))
(+ 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)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 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)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
Outputs
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 #s(literal 1 binary64) (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 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (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 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (*.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))))))))) (log1p.f64 (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)))
(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))) (/ 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 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (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 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (*.f64 b (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))))))) (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 (+ (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)))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) a))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
(+ (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 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))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (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 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))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)

eval17.0ms (0.1%)

Memory
-8.0MiB live, 30.6MiB allocated
Compiler

Compiled 2 882 to 386 computations (86.6% saved)

prune29.0ms (0.2%)

Memory
-7.1MiB live, 34.0MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New13712149
Fresh000
Picked011
Done000
Total13713150
Accuracy
99.0%
Counts
150 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(fma.f64 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 b)))
97.6%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
55.8%
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
51.6%
(log1p.f64 (exp.f64 b))
51.9%
(log1p.f64 (exp.f64 a))
50.7%
(log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
52.0%
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
50.4%
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
54.2%
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
53.9%
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
53.3%
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
55.8%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
51.6%
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Compiler

Compiled 296 to 208 computations (29.7% saved)

simplify10.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))
cost-diff192
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
cost-diff0
(exp.f64 b)
cost-diff0
(+.f64 #s(literal 1 binary64) a)
cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))
cost-diff192
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
cost-diff0
(exp.f64 b)
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 b))
cost-diff192
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
cost-diff0
(exp.f64 a)
cost-diff0
(log1p.f64 (exp.f64 a))
cost-diff0
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
cost-diff0
(exp.f64 a)
cost-diff0
(log1p.f64 (exp.f64 a))
cost-diff0
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
Rules
172×lower-fma.f32
168×lower-fma.f64
112×lower-+.f32
100×lower-+.f64
62×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019106
036106
157106
284106
3128106
4148106
5151106
0151100
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
#s(literal 1 binary64)
(exp.f64 b)
b
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
(+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(exp.f64 b)
b
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
(+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
a
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(exp.f64 b)
b
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
b
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
#s(literal 1 binary64)
(exp.f64 b)
b
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
(log1p.f64 (+.f64 a (exp.f64 b)))
(+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))
(+.f64 #s(literal 1 binary64) a)
(+.f64 a #s(literal 1 binary64))
#s(literal 1 binary64)
a
(exp.f64 b)
b
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
(log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
(+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
a
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(exp.f64 b)
b

localize86.0ms (0.7%)

Memory
-13.0MiB live, 101.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy100.0%
(exp.f64 b)
accuracy100.0%
(+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))
accuracy97.7%
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) a)
accuracy100.0%
(exp.f64 b)
accuracy100.0%
(+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))
accuracy97.7%
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
accuracy100.0%
(exp.f64 b)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
accuracy97.7%
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
accuracy100.0%
(log1p.f64 (exp.f64 a))
accuracy100.0%
(exp.f64 a)
accuracy100.0%
(exp.f64 a)
accuracy100.0%
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
accuracy100.0%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 a))
Samples
25.0ms136×0valid
20.0ms120×0invalid
Compiler

Compiled 121 to 23 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-add: 9.0ms (30.9% of total)
ival-log: 5.0ms (17.2% of total)
ival-log1p: 5.0ms (17.2% of total)
ival-exp: 4.0ms (13.7% of total)
ival-mult: 3.0ms (10.3% of total)
ival-div: 2.0ms (6.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series224.0ms (1.9%)

Memory
19.4MiB live, 289.8MiB allocated
Counts
15 → 252
Calls
Call 1
Inputs
#<alt (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))>
#<alt (log1p.f64 (exp.f64 a))>
#<alt (exp.f64 a)>
#<alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 b))>
#<alt (exp.f64 b)>
#<alt (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))>
#<alt (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))>
#<alt (+.f64 #s(literal 1 binary64) a)>
#<alt (log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))>
#<alt (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))>
#<alt (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 a))>
Outputs
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))>
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))>
#<alt (+ (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)))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* 1/2 b)>
#<alt (+ (* -1/4 (* a b)) (* 1/2 b))>
#<alt (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))>
#<alt (+ (* 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))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (log (+ 1 (exp b)))>
#<alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))>
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* -1/2 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))))>
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* a (- (* 1/3 (/ a (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))>
#<alt (* -1 (log (/ 1 a)))>
#<alt (+ (* -1 (log (/ 1 a))) (+ (/ 1 a) (/ (exp b) a)))>
#<alt (+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 1 (exp b)) 2) (pow a 2))) (+ (/ 1 a) (/ (exp b) a))))>
#<alt (+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 1 (exp b)) 2) (pow a 2))) (+ (* 1/3 (/ (pow (+ 1 (exp b)) 3) (pow a 3))) (+ (/ 1 a) (/ (exp b) a)))))>
#<alt (+ (log -1) (* -1 (log (/ -1 a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (+ (/ 1 a) (/ (exp b) a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 1 (exp b))) (* 1/2 (/ (pow (+ 1 (exp b)) 2) a))) a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 1 (exp b))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp b)) 2)) (* 1/3 (/ (pow (+ 1 (exp b)) 3) a))) a))) a))))>
#<alt (log (+ 2 a))>
#<alt (+ (log (+ 2 a)) (/ b (+ 2 a)))>
#<alt (+ (log (+ 2 a)) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2))))) (/ 1 (+ 2 a)))))>
#<alt (+ (log (+ 2 a)) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 2 a) 3))) (/ 1 (+ 2 a))) (* 3 (/ 1 (pow (+ 2 a) 2)))))) (* 1/2 (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2)))))) (/ 1 (+ 2 a)))))>
#<alt (log (+ 1 (+ a (exp b))))>
#<alt (log (+ 1 (+ a (exp b))))>
#<alt (log (+ 1 (+ a (exp b))))>
#<alt (log (+ 1 (+ a (exp b))))>
#<alt (log (+ 1 (+ a (exp b))))>
#<alt (log (+ 1 (+ a (exp b))))>
#<alt (log (+ 1 (+ a (exp b))))>
#<alt (log (+ 1 (+ a (exp b))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt a>
#<alt (* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))>
#<alt (* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))>
#<alt (* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))>
#<alt (+ 2 a)>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (log (+ 1 (exp b)))>
#<alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))>
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))>
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 a))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (* 2 (/ 1 a))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp b))) 4) (pow a 2))) (* 2 (/ 1 a)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 1 (exp b)))) (pow a 3))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp b))) 4) (pow a 2))) (* 2 (/ 1 a))))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 a))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* 2 (/ 1 a))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 1 (exp b))) 4) a)) 2) a))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 1 (exp b))) 16) a)) (* 1/2 (- (* 4 (+ 1 (exp b))) 4))) a)) 2) a))))>
#<alt (log (+ 2 (* a (+ 1 (* 1/2 a)))))>
#<alt (+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (/ b (+ 2 (* a (+ 1 (* 1/2 a))))))>
#<alt (+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))))))>
#<alt (+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 3 (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))))))>
#<alt (log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))>
#<alt (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 a))>
#<alt (+ 1 (* 1/2 a))>
#<alt (+ 1 (* 1/2 a))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
Calls

63 calls:

TimeVariablePointExpression
68.0ms
b
@inf
(log (+ (+ 1 a) (exp b)))
35.0ms
a
@inf
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
21.0ms
b
@inf
(log (+ (+ (* a (+ (* a 1/2) 1)) 1) (exp b)))
20.0ms
b
@-inf
(log (+ (+ (* a (+ (* a 1/2) 1)) 1) (exp b)))
18.0ms
b
@inf
(log (+ 1 (exp b)))

rewrite325.0ms (2.7%)

Memory
21.2MiB live, 442.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 676×lower-fma.f32
4 672×lower-fma.f64
4 508×lower-/.f32
4 506×lower-/.f64
3 728×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01984
03684
114884
2128684
0869178
Stop Event
iter limit
node limit
iter limit
Counts
15 → 582
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
(+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))
(+.f64 #s(literal 1 binary64) a)
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
(+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (neg.f64 (/.f64 (*.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
(-.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)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (/.f64 (*.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(fma.f64 b (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (log1p.f64 (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))))) (neg.f64 (/.f64 (*.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) b (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (-.f64 (*.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64)))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (*.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (*.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))))) (*.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))))
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(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))

simplify348.0ms (2.9%)

Memory
-3.5MiB live, 514.4MiB allocated
Algorithm
egg-herbie
Rules
10 480×lower-fma.f64
10 480×lower-fma.f32
5 848×lower-+.f64
5 848×lower-+.f32
4 528×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03532464
110322405
229772351
083432015
Stop Event
iter limit
node limit
Counts
252 → 248
Calls
Call 1
Inputs
(+ (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)))))
(+ (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))))
(+ (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))))
(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 (+ 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)))
(* -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))))))
(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)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(* 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))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(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 (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (- (* 1/3 (/ a (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(* -1 (log (/ 1 a)))
(+ (* -1 (log (/ 1 a))) (+ (/ 1 a) (/ (exp b) a)))
(+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 1 (exp b)) 2) (pow a 2))) (+ (/ 1 a) (/ (exp b) a))))
(+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 1 (exp b)) 2) (pow a 2))) (+ (* 1/3 (/ (pow (+ 1 (exp b)) 3) (pow a 3))) (+ (/ 1 a) (/ (exp b) a)))))
(+ (log -1) (* -1 (log (/ -1 a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (+ (/ 1 a) (/ (exp b) a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 1 (exp b))) (* 1/2 (/ (pow (+ 1 (exp b)) 2) a))) a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 1 (exp b))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp b)) 2)) (* 1/3 (/ (pow (+ 1 (exp b)) 3) a))) a))) a))))
(log (+ 2 a))
(+ (log (+ 2 a)) (/ b (+ 2 a)))
(+ (log (+ 2 a)) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2))))) (/ 1 (+ 2 a)))))
(+ (log (+ 2 a)) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 2 a) 3))) (/ 1 (+ 2 a))) (* 3 (/ 1 (pow (+ 2 a) 2)))))) (* 1/2 (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2)))))) (/ 1 (+ 2 a)))))
(log (+ 1 (+ a (exp b))))
(log (+ 1 (+ a (exp b))))
(log (+ 1 (+ a (exp b))))
(log (+ 1 (+ a (exp b))))
(log (+ 1 (+ a (exp b))))
(log (+ 1 (+ a (exp b))))
(log (+ 1 (+ a (exp b))))
(log (+ 1 (+ a (exp b))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
a
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
a
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))
(+ 2 a)
(+ 2 (+ a b))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
1
(+ 1 a)
(+ 1 a)
(+ 1 a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 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))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ (log 1/2) (* -2 (log (/ 1 a))))
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (* 2 (/ 1 a))))
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp b))) 4) (pow a 2))) (* 2 (/ 1 a)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 1 (exp b)))) (pow a 3))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp b))) 4) (pow a 2))) (* 2 (/ 1 a))))))
(+ (log 1/2) (* -2 (log (/ -1 a))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* 2 (/ 1 a))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 1 (exp b))) 4) a)) 2) a))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 1 (exp b))) 16) a)) (* 1/2 (- (* 4 (+ 1 (exp b))) 4))) a)) 2) a))))
(log (+ 2 (* a (+ 1 (* 1/2 a)))))
(+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (/ b (+ 2 (* a (+ 1 (* 1/2 a))))))
(+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))))))
(+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 3 (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))))))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (+ b (* a (+ 1 (* 1/2 a)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* 1/2 a))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
1
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
Outputs
(+ (log 2) (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(fma.f64 #s(literal 1/2 binary64) b (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 b a) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (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))))
(+ (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))))
(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 #s(literal 1 binary64) (exp.f64 a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(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))
(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
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
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2
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a
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(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
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a
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1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 a)
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(+ 1 a)
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a
(* a (+ 1 (/ 1 a)))
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(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
a
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(* a (+ 1 (/ 1 a)))
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(* a (+ 1 (/ 1 a)))
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(fma.f64 b (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))
(+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 3 (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))))))
(fma.f64 b (fma.f64 b (+.f64 (fma.f64 (*.f64 b #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 3 binary64) (*.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(* 1/2 (pow a 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 a a))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a)
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (fma.f64 a (/.f64 (exp.f64 b) a) #s(literal 1 binary64)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (fma.f64 a (/.f64 (exp.f64 b) a) #s(literal 1 binary64)))
(* 1/2 (pow a 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 a a))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a)
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) (fma.f64 a (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)) (neg.f64 a)) a))
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) (fma.f64 a (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)) (neg.f64 a)) a))
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (+ b (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 2 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) b))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow a 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 a a))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a)
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow a 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 a a))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a)
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(+ 1 (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(+ 1 (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))

eval109.0ms (0.9%)

Memory
35.2MiB live, 187.0MiB allocated
Compiler

Compiled 20 514 to 2 435 computations (88.1% saved)

prune235.0ms (2%)

Memory
-41.2MiB live, 165.8MiB allocated
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New90518923
Fresh437
Picked325
Done101
Total91323936
Accuracy
99.0%
Counts
936 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.6%
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
50.8%
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
51.7%
(fma.f64 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 b)))
49.7%
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
49.7%
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
50.9%
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
49.7%
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
50.4%
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
97.6%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))))
56.6%
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))))
52.0%
(log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
50.1%
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
48.5%
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
51.6%
(log1p.f64 (exp.f64 b))
51.9%
(log1p.f64 (exp.f64 a))
50.0%
(log1p.f64 #s(literal 1 binary64))
51.0%
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))
50.7%
(log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
52.0%
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
49.3%
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))
49.4%
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a)))
49.3%
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
50.6%
(log.f64 (+.f64 #s(literal 2 binary64) b))
Compiler

Compiled 520 to 375 computations (27.9% saved)

simplify455.0ms (3.8%)

Memory
26.6MiB live, 220.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 b)
cost-diff0
(log1p.f64 (exp.f64 b))
cost-diff0
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) a)
cost-diff0
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff192
(+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
cost-diff0
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(log1p.f64 #s(literal 1 binary64))
cost-diff0
(exp.f64 a)
cost-diff0
(log1p.f64 (exp.f64 a))
cost-diff0
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))))
cost-diff7424
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
Rules
8 950×lower-fma.f32
8 942×lower-fma.f64
2 520×lower-*.f32
2 518×lower-*.f64
2 262×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024128
054128
198122
2167120
3369111
4850111
52151111
66435111
08152109
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))
b
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(expm1.f64 (+.f64 a a))
(+.f64 a a)
(/.f64 #s(literal 1 binary64) (expm1.f64 a))
#s(literal 1 binary64)
(expm1.f64 a)
(log1p.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
a
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))
b
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
(log1p.f64 (exp.f64 b))
(exp.f64 b)
b
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
b
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(expm1.f64 (+.f64 a a))
(+.f64 a a)
(/.f64 #s(literal 1 binary64) (expm1.f64 a))
#s(literal 1 binary64)
(expm1.f64 a)
(log1p.f64 #s(literal 1 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 1 binary64)
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(log.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
a
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 a (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 a (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) a)
(+.f64 a #s(literal 1 binary64))
#s(literal 1 binary64)
a
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
b
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(log1p.f64 (exp.f64 b))
(exp.f64 b)
b

localize234.0ms (2%)

Memory
3.2MiB live, 80.2MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 b)
accuracy98.9%
(log1p.f64 (exp.f64 b))
accuracy100.0%
(+.f64 #s(literal 1 binary64) a)
accuracy100.0%
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy100.0%
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy100.0%
(+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy100.0%
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
accuracy100.0%
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy100.0%
(log1p.f64 #s(literal 1 binary64))
accuracy100.0%
(expm1.f64 (+.f64 a a))
accuracy100.0%
(/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))
accuracy100.0%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))))
accuracy99.8%
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
Samples
120.0ms133×0valid
84.0ms123×0invalid
Compiler

Compiled 170 to 30 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 190.0ms
ival-log1p: 161.0ms (84.7% of total)
ival-add: 9.0ms (4.7% of total)
ival-mult: 7.0ms (3.7% of total)
ival-exp: 4.0ms (2.1% of total)
ival-div: 3.0ms (1.6% of total)
ival-expm1: 3.0ms (1.6% of total)
ival-log: 2.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
16 → 228
Calls
Call 1
Inputs
#<alt (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))>
#<alt (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))))>
#<alt (log1p.f64 (exp.f64 a))>
#<alt (exp.f64 a)>
#<alt (log1p.f64 #s(literal 1 binary64))>
#<alt (log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))>
#<alt (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) a)>
#<alt (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (log1p.f64 (exp.f64 b))>
#<alt (exp.f64 b)>
#<alt (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))>
#<alt (expm1.f64 (+.f64 a a))>
Outputs
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (/ (- (exp (* 2 a)) 1) (- (exp a) 1))>
#<alt (/ (- (exp (* 2 a)) 1) (- (exp a) 1))>
#<alt (/ (- (exp (* 2 a)) 1) (- (exp a) 1))>
#<alt (/ (- (exp (* 2 a)) 1) (- (exp a) 1))>
#<alt (/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1))>
#<alt (/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1))>
#<alt (/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1))>
#<alt (/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1))>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* 1/4 b)) (* 1/2 b)))))>
#<alt (+ (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)))))>
#<alt (+ (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)))))>
#<alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))>
#<alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))>
#<alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))>
#<alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))>
#<alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)))>
#<alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)))>
#<alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)))>
#<alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))))>
#<alt (+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))))>
#<alt (+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))))>
#<alt (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))>
#<alt (* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1))))>
#<alt (* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1))))>
#<alt (* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1))))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1))))))>
#<alt (* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1))))))>
#<alt (* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/12 a))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 a))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (* 2 (/ 1 a))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2)))))>
#<alt (- (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2))))) (* 16/3 (/ 1 (pow a 3))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 a))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* 2 (/ 1 a))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (- 2 (* 16/3 (/ 1 a))) a)) 2) a))))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 a))>
#<alt (+ 1 (* 1/2 a))>
#<alt (+ 1 (* 1/2 a))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt a>
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))>
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))>
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))>
#<alt (+ 2 a)>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2))))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2))))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))))>
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))))>
#<alt (log (+ 2 (* b (+ 1 (* 1/2 b)))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (/ a (+ 2 (* b (+ 1 (* 1/2 b))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* -1/2 (/ a (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* a (- (* 1/3 (/ a (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3))) (* 1/2 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))>
#<alt (* -1 (log (/ 1 a)))>
#<alt (+ (* -1 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a)))>
#<alt (+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) (pow a 2))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))>
#<alt (+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) (pow a 2))) (+ (* 1/3 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3) (pow a 3))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a)))))>
#<alt (+ (log -1) (* -1 (log (/ -1 a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 2 (* b (+ 1 (* 1/2 b))))) (* 1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) a))) a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 2 (* b (+ 1 (* 1/2 b))))) (* -1 (/ (+ (* -1/2 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)) (* 1/3 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3) a))) a))) a))))>
#<alt (log (+ 2 a))>
#<alt (+ (log (+ 2 a)) (/ b (+ 2 a)))>
#<alt (+ (log (+ 2 a)) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2))))) (/ 1 (+ 2 a)))))>
#<alt (+ (log (+ 2 a)) (* b (+ (* b (+ (* 1/6 (* b (- (* 2 (/ 1 (pow (+ 2 a) 3))) (* 3 (/ 1 (pow (+ 2 a) 2)))))) (* 1/2 (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2)))))) (/ 1 (+ 2 a)))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/2 (/ (- (* 4 (+ 2 a)) 4) (pow b 2))) (* 2 (/ 1 b)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 2 a))) (pow b 3))) (+ (* 1/2 (/ (- (* 4 (+ 2 a)) 4) (pow b 2))) (* 2 (/ 1 b))))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 2 a)) 4) b)) 2) b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 2 a)) 16) b)) (* 1/2 (- (* 4 (+ 2 a)) 4))) b)) 2) b))))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (* 1/2 b)>
#<alt (+ (* 1/2 b) (* a (- (* 1/4 b) (* 1/2 b))))>
#<alt (+ (* 1/2 b) (* a (- (+ (* 1/4 b) (* a (- (+ (* 1/12 b) (* 1/2 b)) (+ (* 1/4 b) (* 1/3 b))))) (* 1/2 b))))>
#<alt (+ (* 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))))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))>
#<alt (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 a)))>
#<alt (* a (+ 2 (* a (+ 2 (* 4/3 a)))))>
#<alt (* a (+ 2 (* a (+ 2 (* a (+ 4/3 (* 2/3 a)))))))>
#<alt (- (exp (* 2 a)) 1)>
#<alt (- (exp (* 2 a)) 1)>
#<alt (- (exp (* 2 a)) 1)>
#<alt (- (exp (* 2 a)) 1)>
#<alt (- (exp (neg (* -2 a))) 1)>
#<alt (- (exp (neg (* -2 a))) 1)>
#<alt (- (exp (neg (* -2 a))) 1)>
#<alt (- (exp (neg (* -2 a))) 1)>
Calls

57 calls:

TimeVariablePointExpression
1.0ms
b
@inf
(+ (log (+ 1 (exp a))) (/ b (* (- (exp (+ a a)) 1) (/ 1 (- (exp a) 1)))))
1.0ms
a
@inf
(+ (log (+ 1 (exp a))) (/ b (* (- (exp (+ a a)) 1) (/ 1 (- (exp a) 1)))))
1.0ms
a
@-inf
(+ (log (+ 1 (exp a))) (/ b (* (- (exp (+ a a)) 1) (/ 1 (- (exp a) 1)))))
1.0ms
b
@0
(+ (log (+ 1 (exp a))) (/ b (* (- (exp (+ a a)) 1) (/ 1 (- (exp a) 1)))))
1.0ms
a
@-inf
(* (- (exp (+ a a)) 1) (/ 1 (- (exp a) 1)))

rewrite727.0ms (6.1%)

Memory
-13.7MiB live, 344.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 212×lower-*.f32
5 210×lower-*.f64
3 988×lower-/.f32
3 984×lower-/.f64
3 278×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024103
05497
124088
2220688
0889086
Stop Event
iter limit
node limit
iter limit
Counts
16 → 510
Calls
Call 1
Inputs
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
(log1p.f64 #s(literal 1 binary64))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) a)
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
(/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))
(expm1.f64 (+.f64 a a))
Outputs
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) (exp.f64 (+.f64 a a))) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) #s(literal -1 binary64)))
(+.f64 (*.f64 (exp.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) (exp.f64 (+.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) #s(literal -1 binary64)))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (expm1.f64 (+.f64 a a)) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (expm1.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (expm1.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (*.f64 (expm1.f64 a) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(/.f64 (expm1.f64 (+.f64 a a)) (*.f64 (expm1.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (*.f64 (expm1.f64 (+.f64 a a)) #s(literal -1 binary64)) (neg.f64 (expm1.f64 a)))
(/.f64 (*.f64 (expm1.f64 (+.f64 a a)) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (expm1.f64 a))))
(/.f64 (*.f64 (expm1.f64 (+.f64 a a)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a))))
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a)))
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 a a))) (*.f64 (neg.f64 (expm1.f64 a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 a a))) (*.f64 (neg.f64 (expm1.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (+.f64 a a)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (expm1.f64 a)) (*.f64 (expm1.f64 a) (expm1.f64 a)))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 a a)) (neg.f64 (neg.f64 (expm1.f64 a)))) (expm1.f64 a)) (*.f64 (expm1.f64 a) (neg.f64 (neg.f64 (expm1.f64 a)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 a a)) (neg.f64 (expm1.f64 a))) (*.f64 (expm1.f64 a) #s(literal -1 binary64))) (*.f64 (expm1.f64 a) (neg.f64 (expm1.f64 a))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) #s(literal -1 binary64))
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) (expm1.f64 (+.f64 a a)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 (*.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 a a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) b) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (/.f64 b (expm1.f64 (+.f64 a a))) #s(literal 1 binary64)) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (/.f64 b (expm1.f64 (+.f64 a a))) #s(literal -1 binary64)) (neg.f64 (expm1.f64 a)) (log1p.f64 (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (fma.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(pow.f64 (/.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (+.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))))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 a a)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+.f64 (log.f64 (expm1.f64 (+.f64 a a))) (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a))) (log.f64 (expm1.f64 (+.f64 a a))))
(+.f64 (log1p.f64 (exp.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 (+.f64 a a))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (exp.f64 (+.f64 a a))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (+.f64 a a)))))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(-.f64 (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 (+.f64 a a))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (exp.f64 a))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 a a)))) (log1p.f64 (neg.f64 (exp.f64 a))))
(-.f64 (log.f64 (expm1.f64 (+.f64 a a))) (log.f64 (expm1.f64 a)))
(-.f64 (log.f64 (expm1.f64 (+.f64 a a))) (log.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))))
(-.f64 (log.f64 (expm1.f64 (+.f64 a a))) (log.f64 (*.f64 (expm1.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(-.f64 (log.f64 (expm1.f64 (+.f64 a a))) (log.f64 (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (expm1.f64 a))))
(-.f64 (log.f64 (expm1.f64 (+.f64 a a))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (expm1.f64 a))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 a a)))) (log.f64 (neg.f64 (expm1.f64 a))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) (log.f64 (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (log.f64 (*.f64 (expm1.f64 (+.f64 a a)) #s(literal -1 binary64))) (log.f64 (neg.f64 (expm1.f64 a))))
(-.f64 (log.f64 (*.f64 (expm1.f64 (+.f64 a a)) #s(literal -1 binary64))) (log.f64 (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (expm1.f64 a)))))
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(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))
(*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 b b)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 b) (expm1.f64 b))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 b b)))) (log1p.f64 (neg.f64 (exp.f64 b))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (log.f64 (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 b b))) (log.f64 (expm1.f64 b)))
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
(pow.f64 (exp.f64 b) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) b)
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(*.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))
(neg.f64 (/.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(neg.f64 (/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) (/.f64 b (expm1.f64 (+.f64 a a)))))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 (neg.f64 b) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (/.f64 b (expm1.f64 (+.f64 a a)))) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a))))
(/.f64 (/.f64 b (/.f64 #s(literal 1 binary64) (expm1.f64 a))) (expm1.f64 (+.f64 a a)))
(/.f64 (/.f64 (/.f64 b (expm1.f64 (+.f64 a a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) (/.f64 b (expm1.f64 (+.f64 a a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))))
(*.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(*.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 a a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) b) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 b (expm1.f64 (+.f64 a a))) #s(literal 1 binary64)) (expm1.f64 a))
(*.f64 (/.f64 (/.f64 b (expm1.f64 (+.f64 a a))) #s(literal -1 binary64)) (neg.f64 (expm1.f64 a)))
(+.f64 (exp.f64 (+.f64 a a)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 a a)))
(-.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(expm1.f64 (+.f64 a a))
(expm1.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a #s(literal 3 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) a))
(expm1.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 (+.f64 a a) #s(literal 3/2 binary64)))
(expm1.f64 (*.f64 (+.f64 a a) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (+.f64 a (*.f64 a #s(literal 3 binary64))))
(expm1.f64 (fma.f64 a #s(literal 3 binary64) a))
(expm1.f64 (fma.f64 a #s(literal 3 binary64) (*.f64 a #s(literal 3 binary64))))
(expm1.f64 (+.f64 a (+.f64 a a)))
(expm1.f64 (+.f64 (+.f64 a a) a))
(expm1.f64 (fma.f64 (+.f64 a a) #s(literal 3 binary64) (*.f64 (+.f64 a a) #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)) #s(literal -1 binary64))
(fma.f64 (exp.f64 a) (exp.f64 a) #s(literal -1 binary64))
(fma.f64 (exp.f64 a) (exp.f64 (+.f64 a a)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 a) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 a a)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a #s(literal 3/2 binary64))) (exp.f64 (*.f64 a #s(literal 3/2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 a #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 a #s(literal 3/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (exp.f64 (+.f64 a a)) #s(literal -1 binary64))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 a a)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (expm1.f64 (+.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (expm1.f64 (+.f64 a a))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (expm1.f64 (+.f64 a a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (expm1.f64 (+.f64 a a))) #s(literal -1 binary64))
(*.f64 (expm1.f64 (+.f64 a a)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 a a)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (expm1.f64 a))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (expm1.f64 (+.f64 a a)))

simplify313.0ms (2.6%)

Memory
10.7MiB live, 523.8MiB allocated
Algorithm
egg-herbie
Rules
9 178×lower-fma.f64
9 178×lower-fma.f32
5 086×lower-+.f64
5 086×lower-+.f32
4 268×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03892600
111642491
233122409
082561914
Stop Event
iter limit
node limit
Counts
228 → 224
Calls
Call 1
Inputs
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ (- (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))
(/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1))
(/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1))
(/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1))
(/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1))
(+ (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 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 (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)))
(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)))))
(* 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))))
(/ (* 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 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)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/12 a))))))
(+ (log 1/2) (* -2 (log (/ 1 a))))
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (* 2 (/ 1 a))))
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2)))))
(- (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2))))) (* 16/3 (/ 1 (pow a 3))))
(+ (log 1/2) (* -2 (log (/ -1 a))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* 2 (/ 1 a))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (- 2 (* 16/3 (/ 1 a))) a)) 2) a))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* 1/2 a))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
1
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
a
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))
a
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))
(+ 2 a)
(+ 2 (+ a b))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2))))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2))))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))))
(log (+ 2 (* b (+ 1 (* 1/2 b)))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (/ a (+ 2 (* b (+ 1 (* 1/2 b))))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* -1/2 (/ a (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* a (- (* 1/3 (/ a (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3))) (* 1/2 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))
(* -1 (log (/ 1 a)))
(+ (* -1 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a)))
(+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) (pow a 2))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))
(+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) (pow a 2))) (+ (* 1/3 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3) (pow a 3))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a)))))
(+ (log -1) (* -1 (log (/ -1 a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 2 (* b (+ 1 (* 1/2 b))))) (* 1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) a))) a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 2 (* b (+ 1 (* 1/2 b))))) (* -1 (/ (+ (* -1/2 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)) (* 1/3 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3) a))) a))) a))))
(log (+ 2 a))
(+ (log (+ 2 a)) (/ b (+ 2 a)))
(+ (log (+ 2 a)) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2))))) (/ 1 (+ 2 a)))))
(+ (log (+ 2 a)) (* b (+ (* b (+ (* 1/6 (* b (- (* 2 (/ 1 (pow (+ 2 a) 3))) (* 3 (/ 1 (pow (+ 2 a) 2)))))) (* 1/2 (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2)))))) (/ 1 (+ 2 a)))))
(+ (log 1/2) (* -2 (log (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/2 (/ (- (* 4 (+ 2 a)) 4) (pow b 2))) (* 2 (/ 1 b)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 2 a))) (pow b 3))) (+ (* 1/2 (/ (- (* 4 (+ 2 a)) 4) (pow b 2))) (* 2 (/ 1 b))))))
(+ (log 1/2) (* -2 (log (/ -1 b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 2 a)) 4) b)) 2) b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 2 a)) 16) b)) (* 1/2 (- (* 4 (+ 2 a)) 4))) b)) 2) b))))
1
(+ 1 a)
(+ 1 a)
(+ 1 a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(* 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))))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))
(/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))
(/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))
(/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))
(* 2 a)
(* a (+ 2 (* 2 a)))
(* a (+ 2 (* a (+ 2 (* 4/3 a)))))
(* a (+ 2 (* a (+ 2 (* a (+ 4/3 (* 2/3 a)))))))
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (neg (* -2 a))) 1)
(- (exp (neg (* -2 a))) 1)
(- (exp (neg (* -2 a))) 1)
(- (exp (neg (* -2 a))) 1)
Outputs
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/ (- (exp (* 2 a)) 1) (- (exp a) 1))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/ (- (exp (* 2 a)) 1) (- (exp a) 1))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/ (- (exp (* 2 a)) 1) (- (exp a) 1))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/ (- (exp (* 2 a)) 1) (- (exp a) 1))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(+ (log 2) (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* 1/4 b)) (* 1/2 b)))))
(fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 1/4 b) (* a (- (+ 1/8 (+ (* 1/12 b) (* 1/2 b))) (+ (* 1/4 b) (* 1/3 b)))))) (* 1/2 b)))))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 1/4 b) (* 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)))))
(fma.f64 a (fma.f64 a (+.f64 #s(literal 1/8 binary64) (fma.f64 a (fma.f64 b #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (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 (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -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 (neg (* -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 (neg (* -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 (neg (* -2 a))) 1)))
(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 (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 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) (- (exp (* 2 a)) 1)) (/ 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) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a)))
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1))))
(*.f64 b (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a)))))
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1))))
(*.f64 b (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a)))))
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1))))
(*.f64 b (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a)))))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a)))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1))))))
(*.f64 b (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a)))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1))))))
(*.f64 b (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a)))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1))))))
(*.f64 b (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a)))))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(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))
(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
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/12 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/12 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 1/2) (* -2 (log (/ 1 a))))
(fma.f64 #s(literal 2 binary64) (log.f64 a) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (* 2 (/ 1 a))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 a) (/.f64 #s(literal 2 binary64) a)))
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) a) (fma.f64 #s(literal 2 binary64) (log.f64 a) (/.f64 #s(literal 2 binary64) (*.f64 a a)))))
(- (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2))))) (* 16/3 (/ 1 (pow a 3))))
(+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 a) (/.f64 #s(literal 2 binary64) a))) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 16/3 binary64) a)) a) a))
(+ (log 1/2) (* -2 (log (/ -1 a))))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* 2 (/ 1 a))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)) (/.f64 #s(literal 2 binary64) a)))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 #s(literal 2 binary64) (*.f64 a a))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (- 2 (* 16/3 (/ 1 a))) a)) 2) a))))
(-.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)) (log.f64 #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 16/3 binary64) a)) a)) a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow a 2))
(*.f64 a (*.f64 a #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow a 2))
(*.f64 a (*.f64 a #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+.f64 a (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
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(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
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a
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(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))
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(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))
(fma.f64 a (fma.f64 b (/.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a) (/.f64 #s(literal 2 binary64) a)) a)
a
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))
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(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
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(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
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(* 1/2 (pow b 2))
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(* (pow b 2) (+ 1/2 (/ 1 b)))
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(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2))))))
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(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2))))))
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(* 1/2 (pow b 2))
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(* (pow b 2) (+ 1/2 (/ 1 b)))
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(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))))
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(log (+ 2 (* b (+ 1 (* 1/2 b)))))
(log.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (/ a (+ 2 (* b (+ 1 (* 1/2 b))))))
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(* -1 (log (/ 1 a)))
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(+ (log -1) (* -1 (log (/ -1 a))))
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(log (+ 2 a))
(log.f64 (+.f64 #s(literal 2 binary64) a))
(+ (log (+ 2 a)) (/ b (+ 2 a)))
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1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
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))
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))
1
#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
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(+ 1 (* b (+ 1 (* 1/2 b))))
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(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
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(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
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(* 1/2 (pow b 2))
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(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
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(log 2)
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(log (+ 1 (exp b)))
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(log (+ 1 (exp b)))
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(log (+ 1 (exp b)))
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(log (+ 1 (exp b)))
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(log (+ 1 (exp b)))
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(log (+ 1 (exp b)))
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1
#s(literal 1 binary64)
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(+ 1 (* b (+ 1 (* 1/2 b))))
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(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
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(exp b)
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(exp b)
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(exp b)
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(+ (* 1/2 b) (* a (- (+ (* 1/4 b) (* a (- (+ (* 1/12 b) (* 1/2 b)) (+ (* 1/4 b) (* 1/3 b))))) (* 1/2 b))))
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
(+ (* 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))))
(fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 b #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 b #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) b))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a)))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a)))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a)))
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a)))
(/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a)))
(/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a)))
(/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a)))
(/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 a)))
(*.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)))
(* a (+ 2 (* a (+ 2 (* 4/3 a)))))
(*.f64 a (fma.f64 a (fma.f64 a #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(* a (+ 2 (* a (+ 2 (* a (+ 4/3 (* 2/3 a)))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 2/3 binary64) #s(literal 4/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(- (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))
(- (exp (neg (* -2 a))) 1)
(expm1.f64 (+.f64 a a))
(- (exp (neg (* -2 a))) 1)
(expm1.f64 (+.f64 a a))
(- (exp (neg (* -2 a))) 1)
(expm1.f64 (+.f64 a a))
(- (exp (neg (* -2 a))) 1)
(expm1.f64 (+.f64 a a))

eval93.0ms (0.8%)

Memory
12.8MiB live, 203.6MiB allocated
Compiler

Compiled 21 759 to 2 219 computations (89.8% saved)

prune91.0ms (0.8%)

Memory
-13.6MiB live, 225.4MiB allocated
Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New7286734
Fresh31316
Picked145
Done022
Total73225757
Accuracy
99.4%
Counts
757 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.6%
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
50.8%
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
51.7%
(fma.f64 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 b)))
49.7%
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
49.7%
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
49.7%
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
50.9%
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
50.4%
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
97.4%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
51.4%
(+.f64 (log1p.f64 #s(literal 1 binary64)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))))
49.3%
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))))
52.0%
(log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
50.1%
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
48.5%
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
50.6%
(log1p.f64 (+.f64 #s(literal 1 binary64) b))
51.6%
(log1p.f64 (exp.f64 b))
51.9%
(log1p.f64 (exp.f64 a))
50.0%
(log1p.f64 #s(literal 1 binary64))
51.0%
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))
50.7%
(log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
52.0%
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
49.3%
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))
49.4%
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a)))
50.6%
(log.f64 (+.f64 #s(literal 2 binary64) b))
2.4%
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))
Compiler

Compiled 519 to 369 computations (28.9% saved)

simplify31.0ms (0.3%)

Memory
16.9MiB live, 57.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64))
cost-diff0
(fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
cost-diff0
(exp.f64 a)
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 a))
cost-diff0
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
cost-diff0
(+.f64 #s(literal 2 binary64) b)
cost-diff0
(log.f64 (+.f64 #s(literal 2 binary64) b))
cost-diff0
(exp.f64 a)
cost-diff0
(log1p.f64 (exp.f64 a))
cost-diff0
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
cost-diff512
(/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
Rules
646×lower-fma.f32
638×lower-fma.f64
342×lower-*.f32
340×lower-*.f64
182×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025138
047138
178138
2144138
3242138
4321138
5444138
6502138
7539138
8568138
9605138
10632138
11632138
0632136
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
b
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))
(exp.f64 (+.f64 a a))
(+.f64 a a)
(log.f64 (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
a
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
(exp.f64 a)
a
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
b
(fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64))
#s(literal -1/192 binary64)
(*.f64 b b)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
b
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))
(exp.f64 (+.f64 a a))
(+.f64 a a)
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) b)
(+.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
b
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
a
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
b
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 a)
a
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
b
(fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64))
(fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
#s(literal -1/192 binary64)
(*.f64 b b)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize94.0ms (0.8%)

Memory
-5.4MiB live, 197.7MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
accuracy100.0%
(fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64))
accuracy100.0%
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
accuracy100.0%
(exp.f64 a)
accuracy100.0%
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 a))
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
accuracy100.0%
(+.f64 #s(literal 2 binary64) b)
accuracy100.0%
(log.f64 (+.f64 #s(literal 2 binary64) b))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))
accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 a))
accuracy100.0%
(/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
Samples
57.0ms254×0valid
0.0ms0invalid
Compiler

Compiled 151 to 31 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-add: 10.0ms (24.6% of total)
ival-mult: 8.0ms (19.7% of total)
ival-log: 6.0ms (14.8% of total)
ival-div: 5.0ms (12.3% of total)
ival-exp: 5.0ms (12.3% of total)
const: 4.0ms (9.8% of total)
ival-log1p: 3.0ms (7.4% of total)
exact: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
-10.3MiB live, 28.2MiB allocated
Counts
16 → 216
Calls
Call 1
Inputs
#<alt (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))>
#<alt (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))>
#<alt (log1p.f64 (exp.f64 a))>
#<alt (exp.f64 a)>
#<alt (log.f64 (+.f64 #s(literal 2 binary64) b))>
#<alt (+.f64 #s(literal 2 binary64) b)>
#<alt (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 a))>
#<alt (fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))>
#<alt (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64))>
#<alt (*.f64 b b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))>
Outputs
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))>
#<alt b>
#<alt (+ b (* a (- b (* 1/2 b))))>
#<alt (+ b (* a (- (+ b (* a (- b (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b))))))) (* 1/2 b))))>
#<alt (+ b (* a (- (+ b (* a (- (+ b (* a (- (* 2/3 b) (+ (* 1/12 b) (+ (* 1/4 (- b (* 1/2 b))) (* 1/2 (- b (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b))))))))))) (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b))))))) (* 1/2 b))))>
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))>
#<alt (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))>
#<alt (+ b (log 2))>
#<alt (+ b (+ (log 2) (* a (- (+ 1/2 b) (* 1/2 b)))))>
#<alt (+ b (+ (log 2) (* a (- (+ 1/2 (+ b (* a (- (+ 1/8 b) (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b)))))))) (* 1/2 b)))))>
#<alt (+ b (+ (log 2) (* a (- (+ 1/2 (+ b (* a (- (+ 1/8 (+ b (* a (- (* 2/3 b) (+ (* 1/12 b) (+ (* 1/4 (- b (* 1/2 b))) (* 1/2 (- b (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b)))))))))))) (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b)))))))) (* 1/2 b)))))>
#<alt (+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a))))))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a)))))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (+ (/ (exp (* 2 a)) (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (+ (/ (exp (* 2 a)) (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (+ (/ (exp (* 2 a)) (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))>
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))>
#<alt (* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (+ 1 (exp (* 2 a))) (+ 1 (exp a)))))))>
#<alt (* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (+ 1 (exp (* 2 a))) (+ 1 (exp a)))))))>
#<alt (* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (+ 1 (exp (* 2 a))) (+ 1 (exp a)))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* -1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (- (* 1/24 b) 1/8)))))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b)))>
#<alt (- (+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b))) (/ 2 (pow b 2)))>
#<alt (- (+ (* -1 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (* 8/3 (/ 1 (pow b 3))))) (/ 2 (pow b 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* 2 (/ 1 b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* 2 (/ 1 b)) 2) b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 b)) 2) b)) 2) b))))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ (log 2) a)))>
#<alt (* a (+ 1/2 (/ (log 2) a)))>
#<alt (* a (+ 1/2 (/ (log 2) a)))>
#<alt (* 1/2 a)>
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))>
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))>
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* 1/2 b)>
#<alt (+ (* -1/4 (* a b)) (* 1/2 b))>
#<alt (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))>
#<alt (+ (* 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))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))>
#<alt (* -1/192 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (+ (* 1/8 (/ 1 (pow b 2))) (/ (log 2) (pow b 4)))) 1/192))>
#<alt (* -1/192 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* (pow b 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) (pow b 3))) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 b))>
#<alt (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))>
#<alt (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))>
#<alt (* -1/192 (pow b 3))>
#<alt (* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* -1/192 (pow b 3))>
#<alt (* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))>
#<alt 1/8>
#<alt (+ 1/8 (* -1/192 (pow b 2)))>
#<alt (+ 1/8 (* -1/192 (pow b 2)))>
#<alt (+ 1/8 (* -1/192 (pow b 2)))>
#<alt (* -1/192 (pow b 2))>
#<alt (* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* -1/192 (pow b 2))>
#<alt (* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 a))>
#<alt (+ 1 (* a (- (* -1/4 a) 1/2)))>
#<alt (+ 1 (* a (- (* a (- (* 1/6 a) 1/4)) 1/2)))>
#<alt (/ (+ 1 (exp a)) (+ 1 (exp (* 2 a))))>
#<alt (/ (+ 1 (exp a)) (+ 1 (exp (* 2 a))))>
#<alt (/ (+ 1 (exp a)) (+ 1 (exp (* 2 a))))>
#<alt (/ (+ 1 (exp a)) (+ 1 (exp (* 2 a))))>
#<alt (/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a)))))>
#<alt (/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a)))))>
#<alt (/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a)))))>
#<alt (/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a)))))>
#<alt 2>
#<alt (+ 2 (* 2 a))>
#<alt (+ 2 (* a (+ 2 (* 2 a))))>
#<alt (+ 2 (* a (+ 2 (* a (+ 2 (* 4/3 a))))))>
#<alt (+ 1 (exp (* 2 a)))>
#<alt (+ 1 (exp (* 2 a)))>
#<alt (+ 1 (exp (* 2 a)))>
#<alt (+ 1 (exp (* 2 a)))>
#<alt (+ 1 (exp (neg (* -2 a))))>
#<alt (+ 1 (exp (neg (* -2 a))))>
#<alt (+ 1 (exp (neg (* -2 a))))>
#<alt (+ 1 (exp (neg (* -2 a))))>
Calls

54 calls:

TimeVariablePointExpression
5.0ms
a
@0
(+ (* a 1/2) (log 2))
1.0ms
a
@inf
(/ b (/ (+ 1 (exp a)) (+ 1 (exp (+ a a)))))
1.0ms
b
@0
(/ b (/ (+ 1 (exp a)) (+ 1 (exp (+ a a)))))
1.0ms
a
@-inf
(/ b (/ (+ 1 (exp a)) (+ 1 (exp (+ a a)))))
1.0ms
a
@-inf
(/ (+ 1 (exp a)) (+ 1 (exp (+ a a))))

rewrite89.0ms (0.7%)

Memory
-1.3MiB live, 156.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
852×lower-*.f32
850×lower-*.f64
808×lower-fma.f32
800×lower-fma.f64
674×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025107
047107
1201107
01599106
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
16 → 236
Calls
Call 1
Inputs
(/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
(log.f64 (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64))
(*.f64 b b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))
Outputs
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 (+.f64 a a))))
(+.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 (+.f64 a a))) (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64)))
(+.f64 (*.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(fma.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(fma.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 (+.f64 a a))))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 (+.f64 a a)) (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b (*.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(neg.f64 (/.f64 b (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))))
(neg.f64 (/.f64 (neg.f64 b) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) #s(literal 1 binary64)))
(/.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (neg.f64 b) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))))
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (fma.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a)) #s(literal 1 binary64))))
(/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (fma.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (*.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (neg.f64 (neg.f64 b)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))))) (fma.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(/.f64 (*.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) #s(literal -1 binary64))
(*.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b)
(*.f64 (/.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (+.f64 a a)))))
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal -1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/36864 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 b b))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/36864 binary64)) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/36864 binary64) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 b b) #s(literal -1/1536 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal -1/8 binary64))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(pow.f64 b #s(literal 2 binary64))
(*.f64 b b)
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (+.f64 a a)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (+.f64 a a))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (+.f64 a a))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))))) (fma.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))
(+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)) #s(literal 1 binary64))
(fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64)))) (+.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (expm1.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))) (expm1.f64 (+.f64 a a)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))

simplify371.0ms (3.1%)

Memory
1.1MiB live, 467.8MiB allocated
Algorithm
egg-herbie
Rules
14 836×lower-fma.f64
14 836×lower-fma.f32
4 508×lower-*.f64
4 508×lower-*.f32
4 168×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02792073
17962007
222661959
377691959
084981789
Stop Event
iter limit
node limit
Counts
216 → 213
Calls
Call 1
Inputs
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
b
(+ b (* a (- b (* 1/2 b))))
(+ b (* a (- (+ b (* a (- b (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b))))))) (* 1/2 b))))
(+ b (* a (- (+ b (* a (- (+ b (* a (- (* 2/3 b) (+ (* 1/12 b) (+ (* 1/4 (- b (* 1/2 b))) (* 1/2 (- b (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b))))))))))) (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b))))))) (* 1/2 b))))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))
(/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))
(+ b (log 2))
(+ b (+ (log 2) (* a (- (+ 1/2 b) (* 1/2 b)))))
(+ b (+ (log 2) (* a (- (+ 1/2 (+ b (* a (- (+ 1/8 b) (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b)))))))) (* 1/2 b)))))
(+ b (+ (log 2) (* a (- (+ 1/2 (+ b (* a (- (+ 1/8 (+ b (* a (- (* 2/3 b) (+ (* 1/12 b) (+ (* 1/4 (- b (* 1/2 b))) (* 1/2 (- b (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b)))))))))))) (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b)))))))) (* 1/2 b)))))
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a))))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a)))))
(* b (+ (/ 1 (+ 1 (exp a))) (+ (/ (exp (* 2 a)) (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))
(* b (+ (/ 1 (+ 1 (exp a))) (+ (/ (exp (* 2 a)) (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))
(* b (+ (/ 1 (+ 1 (exp a))) (+ (/ (exp (* 2 a)) (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (+ 1 (exp (* 2 a))) (+ 1 (exp a)))))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (+ 1 (exp (* 2 a))) (+ 1 (exp a)))))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (+ 1 (exp (* 2 a))) (+ 1 (exp a)))))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* -1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (- (* 1/24 b) 1/8)))))
(* -1 (log (/ 1 b)))
(+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b)))
(- (+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b))) (/ 2 (pow b 2)))
(- (+ (* -1 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (* 8/3 (/ 1 (pow b 3))))) (/ 2 (pow b 2)))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* 2 (/ 1 b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* 2 (/ 1 b)) 2) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 b)) 2) b)) 2) b))))
2
(+ 2 b)
(+ 2 b)
(+ 2 b)
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* 1/2 a))
(+ (log 2) (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (/ (log 2) a)))
(* a (+ 1/2 (/ (log 2) a)))
(* a (+ 1/2 (/ (log 2) a)))
(* 1/2 a)
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(* 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))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(* -1/192 (pow b 4))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (+ (* 1/8 (/ 1 (pow b 2))) (/ (log 2) (pow b 4)))) 1/192))
(* -1/192 (pow b 4))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* (pow b 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) (pow b 3))) (* 1/8 (/ 1 (pow b 2)))) 1/192))
1/2
(+ 1/2 (* 1/8 b))
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))
(* -1/192 (pow b 3))
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* -1/192 (pow b 3))
(* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))
1/8
(+ 1/8 (* -1/192 (pow b 2)))
(+ 1/8 (* -1/192 (pow b 2)))
(+ 1/8 (* -1/192 (pow b 2)))
(* -1/192 (pow b 2))
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* -1/192 (pow b 2))
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
1
(+ 1 (* -1/2 a))
(+ 1 (* a (- (* -1/4 a) 1/2)))
(+ 1 (* a (- (* a (- (* 1/6 a) 1/4)) 1/2)))
(/ (+ 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 (exp (neg (* -2 a)))))
(/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a)))))
(/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a)))))
(/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a)))))
2
(+ 2 (* 2 a))
(+ 2 (* a (+ 2 (* 2 a))))
(+ 2 (* a (+ 2 (* a (+ 2 (* 4/3 a))))))
(+ 1 (exp (* 2 a)))
(+ 1 (exp (* 2 a)))
(+ 1 (exp (* 2 a)))
(+ 1 (exp (* 2 a)))
(+ 1 (exp (neg (* -2 a))))
(+ 1 (exp (neg (* -2 a))))
(+ 1 (exp (neg (* -2 a))))
(+ 1 (exp (neg (* -2 a))))
Outputs
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(+ b (* a (- b (* 1/2 b))))
(fma.f64 b (*.f64 a #s(literal 1/2 binary64)) b)
(+ b (* a (- (+ b (* a (- b (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b))))))) (* 1/2 b))))
(fma.f64 a (fma.f64 a (fma.f64 b #s(literal 3/4 binary64) (*.f64 b #s(literal -1/4 binary64))) (*.f64 b #s(literal 1/2 binary64))) b)
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(* -1/192 (pow b 4))
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
(* (pow b 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) (pow b 3))) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 b))
(fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* -1/192 (pow b 3))
(*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
(* -1/192 (pow b 3))
(*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))
(* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b b) (neg.f64 (*.f64 b (-.f64 #s(literal 1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))))
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))
(neg.f64 (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 b b))))))
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))
(neg.f64 (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 b b))))))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -1/192 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(+ 1/8 (* -1/192 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(+ 1/8 (* -1/192 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(* -1/192 (pow b 2))
(*.f64 #s(literal -1/192 binary64) (*.f64 b b))
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(*.f64 b (*.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(*.f64 b (*.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(*.f64 b (*.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))
(* -1/192 (pow b 2))
(*.f64 #s(literal -1/192 binary64) (*.f64 b b))
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(*.f64 b (*.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(*.f64 b (*.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(*.f64 b (*.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 a))
(fma.f64 a #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* a (- (* -1/4 a) 1/2)))
(fma.f64 a (fma.f64 a #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* a (- (* a (- (* 1/6 a) 1/4)) 1/2)))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ (+ 1 (exp a)) (+ 1 (exp (* 2 a))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(/ (+ 1 (exp a)) (+ 1 (exp (* 2 a))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(/ (+ 1 (exp a)) (+ 1 (exp (* 2 a))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(/ (+ 1 (exp a)) (+ 1 (exp (* 2 a))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
2
#s(literal 2 binary64)
(+ 2 (* 2 a))
(fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64))
(+ 2 (* a (+ 2 (* 2 a))))
(fma.f64 #s(literal 2 binary64) (fma.f64 a a a) #s(literal 2 binary64))
(+ 2 (* a (+ 2 (* a (+ 2 (* 4/3 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(+ 1 (exp (* 2 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))
(+ 1 (exp (* 2 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))
(+ 1 (exp (* 2 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))
(+ 1 (exp (* 2 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))
(+ 1 (exp (neg (* -2 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))
(+ 1 (exp (neg (* -2 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))
(+ 1 (exp (neg (* -2 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))
(+ 1 (exp (neg (* -2 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))

eval60.0ms (0.5%)

Memory
11.5MiB live, 129.3MiB allocated
Compiler

Compiled 9 310 to 1 015 computations (89.1% saved)

prune59.0ms (0.5%)

Memory
28.0MiB live, 105.1MiB allocated
Pruning

32 alts after pruning (22 fresh and 10 done)

PrunedKeptTotal
New49611507
Fresh31114
Picked145
Done066
Total50032532
Accuracy
100.0%
Counts
532 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.6%
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
50.8%
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
50.3%
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
50.9%
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
51.7%
(fma.f64 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 b)))
49.7%
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
49.7%
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
49.7%
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
51.5%
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
5.2%
(/.f64 b (+.f64 #s(literal 2 binary64) a))
50.4%
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
51.3%
(+.f64 b (log.f64 #s(literal 2 binary64)))
10.3%
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b)))))
3.8%
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
2.4%
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
5.3%
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
4.3%
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))))
11.7%
(*.f64 b #s(literal 1/2 binary64))
49.3%
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))))
52.0%
(log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
50.1%
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
48.5%
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
51.6%
(log1p.f64 (exp.f64 b))
51.9%
(log1p.f64 (exp.f64 a))
50.0%
(log1p.f64 #s(literal 1 binary64))
51.0%
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))
50.7%
(log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
52.0%
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
49.3%
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))
49.4%
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a)))
50.6%
(log.f64 (+.f64 #s(literal 2 binary64) b))
2.4%
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))
Compiler

Compiled 845 to 405 computations (52.1% saved)

regimes73.0ms (0.6%)

Memory
-22.9MiB live, 95.8MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
(*.f64 b #s(literal 1/2 binary64))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 #s(literal 1 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a)))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
(log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (log1p.f64 #s(literal 1 binary64)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))))
(fma.f64 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 b)))
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
Calls

6 calls:

14.0ms
a
13.0ms
b
13.0ms
(exp.f64 b)
11.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
10.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
97.6%1a
97.6%1b
97.6%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
97.6%1(+.f64 (exp.f64 a) (exp.f64 b))
97.6%1(exp.f64 a)
97.6%1(exp.f64 b)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes64.0ms (0.5%)

Memory
9.4MiB live, 88.2MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
(*.f64 b #s(literal 1/2 binary64))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 #s(literal 1 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a)))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
(log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
Outputs
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

6 calls:

14.0ms
b
11.0ms
a
10.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
9.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.5%2a
68.9%3b
99.6%3(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
99.6%3(+.f64 (exp.f64 a) (exp.f64 b))
98.5%2(exp.f64 a)
58.1%2(exp.f64 b)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes22.0ms (0.2%)

Memory
-10.1MiB live, 28.2MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
(*.f64 b #s(literal 1/2 binary64))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 #s(literal 1 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a)))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
(log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
Outputs
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
Calls

2 calls:

12.0ms
a
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.4%2a
98.4%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes20.0ms (0.2%)

Memory
29.4MiB live, 29.4MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
(*.f64 b #s(literal 1/2 binary64))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 #s(literal 1 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a)))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
(log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
Outputs
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
Calls

2 calls:

10.0ms
a
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.3%2a
98.3%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes36.0ms (0.3%)

Memory
-26.9MiB live, 49.8MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
(*.f64 b #s(literal 1/2 binary64))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 #s(literal 1 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a)))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
Outputs
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
Calls

4 calls:

11.0ms
a
9.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
96.9%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
96.9%2(+.f64 (exp.f64 a) (exp.f64 b))
98.0%2(exp.f64 a)
98.0%2a
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes18.0ms (0.1%)

Memory
24.6MiB live, 24.6MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
(*.f64 b #s(literal 1/2 binary64))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 #s(literal 1 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a)))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
Outputs
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log1p.f64 (exp.f64 b))
Calls

2 calls:

9.0ms
a
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.5%2a
97.5%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes35.0ms (0.3%)

Memory
-28.8MiB live, 21.1MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
(*.f64 b #s(literal 1/2 binary64))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 #s(literal 1 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a)))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b)))))
(log1p.f64 (exp.f64 a))
Outputs
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))
Calls

2 calls:

25.0ms
(exp.f64 a)
9.0ms
a
Results
AccuracySegmentsBranch
97.2%2a
97.2%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes15.0ms (0.1%)

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

2 calls:

8.0ms
a
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.1%2a
97.1%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes15.0ms (0.1%)

Memory
-18.6MiB live, 20.0MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
(*.f64 b #s(literal 1/2 binary64))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 #s(literal 1 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))
Outputs
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))))
Calls

2 calls:

8.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.0%2a
97.0%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes13.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
(*.f64 b #s(literal 1/2 binary64))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 #s(literal 1 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
Outputs
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
Calls

2 calls:

6.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.0%2a
97.0%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes23.0ms (0.2%)

Memory
-5.4MiB live, 33.1MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
(*.f64 b #s(literal 1/2 binary64))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 #s(literal 1 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
Outputs
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
Calls

4 calls:

7.0ms
a
5.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
95.6%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
95.6%2(+.f64 (exp.f64 a) (exp.f64 b))
96.5%2a
96.5%2(exp.f64 a)
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes33.0ms (0.3%)

Memory
6.9MiB live, 45.2MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
(*.f64 b #s(literal 1/2 binary64))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 #s(literal 1 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
Outputs
(*.f64 b #s(literal 1/2 binary64))
(+.f64 b (log.f64 #s(literal 2 binary64)))
Calls

6 calls:

6.0ms
a
6.0ms
b
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
51.3%1(exp.f64 b)
51.3%1b
57.8%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
57.8%2(+.f64 (exp.f64 a) (exp.f64 b))
57.8%2a
57.8%2(exp.f64 a)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes16.0ms (0.1%)

Memory
-20.7MiB live, 19.9MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 b #s(literal 1/2 binary64))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 #s(literal 1 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
Outputs
(*.f64 b #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
Calls

4 calls:

6.0ms
a
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
57.6%2a
57.6%2(exp.f64 a)
57.5%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
57.5%2(+.f64 (exp.f64 a) (exp.f64 b))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 b #s(literal 1/2 binary64))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
(log1p.f64 #s(literal 1 binary64))
Outputs
(*.f64 b #s(literal 1/2 binary64))
(log1p.f64 #s(literal 1 binary64))
Calls

4 calls:

3.0ms
a
2.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
56.9%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
56.9%2(+.f64 (exp.f64 a) (exp.f64 b))
57.0%2a
57.0%2(exp.f64 a)
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes15.0ms (0.1%)

Memory
-15.6MiB live, 23.1MiB allocated
Accuracy

Total -7.0b remaining (-12.4%)

Threshold costs -7b (-12.4%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 b #s(literal 1/2 binary64))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
Outputs
(*.f64 b #s(literal 1/2 binary64))
Calls

6 calls:

4.0ms
b
2.0ms
a
2.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
11.7%1(exp.f64 b)
11.7%1b
11.7%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.7%1(+.f64 (exp.f64 a) (exp.f64 b))
11.7%1a
11.7%1(exp.f64 a)
Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9714025745145885e-56
0.9938757938767345
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9714025745145885e-56
0.9938757938767345
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch32.0ms (0.3%)

Memory
0.4MiB live, 38.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
-166240.38924576543
-127.85573111901431
Samples
19.0ms102×1valid
5.0ms12×2valid
1.0ms14×0valid
Compiler

Compiled 179 to 139 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-exp: 8.0ms (40.2% of total)
ival-log: 8.0ms (40.2% of total)
adjust: 2.0ms (10.1% of total)
ival-add: 1.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-127.85573111901431
-0.006143035991612652
Samples
7.0ms128×0valid
Compiler

Compiled 163 to 131 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (44.5% of total)
ival-log: 2.0ms (44.5% of total)
ival-add: 1.0ms (22.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.9714025745145885e-56
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.9714025745145885e-56
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9714025745145885e-56
0.9938757938767345
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9714025745145885e-56
0.9938757938767345
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9714025745145885e-56
0.9938757938767345
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.9714025745145885e-56
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0069743495233998
1.9938757938767346
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.9714025745145885e-56
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.9714025745145885e-56
Compiler

Compiled 11 to 11 computations (0% saved)

simplify8.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated
Algorithm
egg-herbie
Rules
20×+-commutative_binary64
*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075255
188255
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))))
(if (<=.f64 a #s(literal -130 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))))
(if (<=.f64 a #s(literal -1 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a))))
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3/2 binary64)) (*.f64 b #s(literal 1/2 binary64)) (+.f64 b (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(*.f64 b #s(literal 1/2 binary64))
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.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 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 b) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -130 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))))
(if (<=.f64 a #s(literal -130 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))))
(if (<=.f64 a #s(literal -1 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))))
(if (<=.f64 a #s(literal -1 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 b) (+.f64 a #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a))))
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a))))
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))))
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3/2 binary64)) (*.f64 b #s(literal 1/2 binary64)) (+.f64 b (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(*.f64 b #s(literal 1/2 binary64))

soundness1.7s (13.9%)

Memory
-50.6MiB live, 1 084.7MiB allocated
Rules
18 508×lower-fma.f64
18 508×lower-fma.f32
14 836×lower-fma.f64
14 836×lower-fma.f32
10 480×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024103
05497
124088
2220688
0889086
03532464
110322405
229772351
083432015
02792073
17962007
222661959
377691959
084981789
01984
03684
114884
2128684
0869178
099564
1274564
2757556
32515548
08549500
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 829 to 476 computations (42.6% saved)

preprocess94.0ms (0.8%)

Memory
41.3MiB live, 193.2MiB allocated
Compiler

Compiled 606 to 208 computations (65.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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