Quotient of sum of exps

Time bar (total: 9.6s)

analyze5.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%1.6%0%7
96%93.7%3.9%0.1%0%2.3%0%8
97.2%93.7%2.7%0.1%0%3.5%0%9
97.8%93.7%2.1%0.1%0%4.1%0%10
98.5%93.7%1.5%0.1%0%4.8%0%11
98.8%93.7%1.1%0.1%0%5.1%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample961.0ms (10%)

Memory
38.8MiB live, 1 304.1MiB allocated
Samples
474.0ms8 256×0valid
136.0ms2 864×0exit
Precisions
Click to see histograms. Total time spent on operations: 331.0ms
ival-exp: 164.0ms (49.6% of total)
ival-add: 80.0ms (24.2% of total)
ival-div: 75.0ms (22.7% of total)
ival-true: 8.0ms (2.4% of total)
ival-assert: 4.0ms (1.2% of total)
Bogosity

preprocess94.0ms (1%)

Memory
-23.7MiB live, 57.6MiB allocated
Algorithm
1×egg-herbie
Rules
432×times-frac
352×div-sub
224×distribute-lft-in
204×distribute-rgt-in
182×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01648
14048
27548
314448
425943
546843
664543
790043
8123643
9146843
10164442
11182742
12193342
13209942
14217842
15220842
16221642
17221842
18221842
068
0108
1118
0118
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

explain87.0ms (0.9%)

Memory
14.6MiB live, 130.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(/.f64 (exp.f64 a) (+.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
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))o/o10
↳(exp.f64 a)overflow1
↳(+.f64 (exp.f64 a) (exp.f64 b))overflow70
↳(exp.f64 a)overflow1
↳(exp.f64 b)overflow69
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))u/u10
↳(exp.f64 a)underflow55
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow1
↳(exp.f64 a)underflow55
↳(exp.f64 b)underflow53
Confusion
Predicted +Predicted -
+20
-0254
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-00254
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-exp: 7.0ms (44.3% of total)
ival-add: 5.0ms (31.6% of total)
ival-div: 3.0ms (19% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 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
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify4.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 b)
✓cost-diff0
(+.f64 (exp.f64 a) (exp.f64 b))
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Rules
4×lift-exp.f64
4×lower-+.f32
4×lower-exp.f32
2×lift-+.f64
2×lift-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
01019
11119
01119
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b

localize21.0ms (0.2%)

Memory
-0.9MiB live, 37.9MiB 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))
✓accuracy99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
14.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 4.0ms (62.6% of total)
ival-div: 1.0ms (15.6% of total)
ival-add: 1.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-22.8MiB live, 14.8MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))>
#<alt (exp.f64 a)>
#<alt (+.f64 (exp.f64 a) (exp.f64 b))>
#<alt (exp.f64 b)>
Outputs
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (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 (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 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
3.0ms
b
@inf
(/ (exp a) (+ (exp a) (exp b)))
1.0ms
a
@0
(/ (exp a) (+ (exp a) (exp b)))
1.0ms
b
@0
(/ (exp a) (+ (exp a) (exp b)))
1.0ms
a
@inf
(/ (exp a) (+ (exp a) (exp b)))
1.0ms
b
@-inf
(/ (exp a) (+ (exp a) (exp b)))

rewrite427.0ms (4.5%)

Memory
25.5MiB live, 425.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 200×lower-/.f32
5 198×lower-/.f64
4 032×lower-fma.f64
4 032×lower-fma.f32
3 280×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
13217
220317
3193617
0863117
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 314
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
Outputs
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))))
(+.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b))))
(+.f64 (*.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(+.f64 (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.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 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(+.f64 (*.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) #s(literal -1 binary64)))
(exp.f64 (+.f64 a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) (neg.f64 a)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 (neg.f64 a))) (/.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 (neg.f64 a))))
(-.f64 (/.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))))) (exp.f64 (neg.f64 a))) (/.f64 (/.f64 (exp.f64 (+.f64 a b)) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (neg.f64 a))))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(fma.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.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 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a)) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))))
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 a) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b))))
(neg.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 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 (*.f64 a #s(literal 4 binary64))))) (*.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.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)))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (pow.f64 (neg.f64 (neg.f64 (exp.f64 b))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (*.f64 (neg.f64 (neg.f64 (exp.f64 b))) (neg.f64 (neg.f64 (exp.f64 b)))) (*.f64 (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (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))))) (*.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 (pow.f64 (neg.f64 (neg.f64 (exp.f64 b))) #s(literal 3 binary64)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (fma.f64 (neg.f64 (neg.f64 (exp.f64 b))) (neg.f64 (neg.f64 (exp.f64 b))) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 (neg.f64 (neg.f64 (exp.f64 b))) (exp.f64 a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) (*.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)))))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(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)) #s(literal 1 binary64))
(*.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 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 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 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 #s(literal -1 binary64) (-.f64 (neg.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 b b)) (-.f64 (exp.f64 (+.f64 a a)) (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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (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 a #s(literal 6 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 (*.f64 a #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (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 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (*.f64 a #s(literal 9 binary64))) (exp.f64 (*.f64 b #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(exp.f64 b)
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))

simplify468.0ms (4.9%)

Memory
1.8MiB live, 587.9MiB allocated
Algorithm
1×egg-herbie
Rules
18 438×lower-fma.f64
18 438×lower-fma.f32
4 430×lower-*.f64
4 430×lower-*.f32
2 966×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120740
1332725
2963708
33702677
08342640
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (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 (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 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
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (+.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 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 (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal -3/2 binary64) a #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 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))) (fma.f64 a (fma.f64 a (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal -3/2 binary64) a #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 b #s(literal -1/2 binary64) (/.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 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (-.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (*.f64 b b) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.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 (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)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* 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)) (+.f64 #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 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)

eval46.0ms (0.5%)

Memory
-14.2MiB live, 101.6MiB allocated
Compiler

Compiled 11 132 to 1 164 computations (89.5% saved)

prune51.0ms (0.5%)

Memory
0.0MiB live, 120.4MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4076413
Fresh000
Picked101
Done000
Total4086414
Accuracy
100.0%
Counts
414 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.2%
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
72.2%
(/.f64 (exp.f64 a) (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
▶63.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶61.0%
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
▶85.3%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
Compiler

Compiled 196 to 128 computations (34.7% saved)

simplify347.0ms (3.6%)

Memory
17.6MiB live, 385.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
✓cost-diff0
(exp.f64 a)
✓cost-diff384
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
✓cost-diff6272
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
✓cost-diff0
(+.f64 b (exp.f64 a))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
✓cost-diff0
(exp.f64 a)
✓cost-diff6080
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
✓cost-diff0
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓cost-diff0
(exp.f64 a)
✓cost-diff6272
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓cost-diff0
(exp.f64 b)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(+.f64 (exp.f64 a) (exp.f64 b))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
✓cost-diff13056
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
Rules
7 150×lower-fma.f32
7 148×lower-fma.f64
3 042×lower-*.f32
3 036×lower-*.f64
2 124×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030183
057183
187180
2140175
3243174
4494174
5984174
61841174
73335174
85073174
96498174
107306174
117668174
127968174
08053172
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
#s(literal 1 binary64)
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
b
(exp.f64 (neg.f64 a))
(neg.f64 a)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
(exp.f64 a)
a
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
#s(literal 1 binary64)
(+.f64 b (exp.f64 a))
b
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(exp.f64 a)
a
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(exp.f64 (+.f64 b b))
(+.f64 b b)
b
(exp.f64 (+.f64 a b))
(+.f64 a b)
(exp.f64 (*.f64 a #s(literal 3 binary64)))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(*.f64 b #s(literal 3 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
#s(literal 1 binary64)
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
b
(exp.f64 (neg.f64 a))
(neg.f64 a)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)))
(exp.f64 a)
a
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) b))
#s(literal 1 binary64)
(+.f64 b (exp.f64 a))
(+.f64 (exp.f64 a) b)
b
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (fma.f64 b #s(literal 3 binary64) (neg.f64 a)))))
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(-.f64 (exp.f64 (fma.f64 b #s(literal 2 binary64) a)) (*.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (expm1.f64 (-.f64 b a))))
(exp.f64 a)
a
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(exp.f64 (+.f64 b b))
(+.f64 b b)
b
(exp.f64 (+.f64 a b))
(+.f64 a b)
(exp.f64 (*.f64 a #s(literal 3 binary64)))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(*.f64 b #s(literal 3 binary64))

localize138.0ms (1.4%)

Memory
24.7MiB live, 251.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (*.f64 b #s(literal 3 binary64)))
✓accuracy99.3%
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
✓accuracy98.8%
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
✓accuracy65.8%
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 b (exp.f64 a))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
✓accuracy99.6%
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓accuracy99.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
✓accuracy99.2%
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
Samples
48.0ms78×1valid
23.0ms100×0valid
17.0ms67×0exit
8.0ms10×2valid
2.0ms1×3valid
Compiler

Compiled 187 to 33 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-exp: 21.0ms (33% of total)
ival-add: 17.0ms (26.7% of total)
ival-div: 9.0ms (14.1% of total)
adjust: 7.0ms (11% of total)
ival-mult: 6.0ms (9.4% of total)
ival-sub: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series48.0ms (0.5%)

Memory
-9.3MiB live, 97.0MiB allocated
Counts
16 → 300
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))>
#<alt (+.f64 (exp.f64 a) (exp.f64 b))>
#<alt (exp.f64 a)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 b))>
#<alt (exp.f64 b)>
#<alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))>
#<alt (+.f64 (exp.f64 a) #s(literal 1 binary64))>
#<alt (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))>
#<alt (+.f64 b (exp.f64 a))>
#<alt (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))>
#<alt (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))>
#<alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))>
#<alt (exp.f64 (*.f64 b #s(literal 3 binary64)))>
Outputs
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ 1 (exp a)))>
#<alt (+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))>
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#<alt (+ (* b (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))>
#<alt (+ (* b (- (+ (* b (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))>
#<alt (+ (* b (- (+ (* b (- (+ (* b (- (/ (* (exp a) (- 4/3 (* 1/6 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ 1 (exp (* 3 a))))) (+ (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))) (* 9/2 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))))))) (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a))))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (- 1 (exp a))>
#<alt (- (+ 1 (* b (- 2 (exp a)))) (exp a))>
#<alt (- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a))>
#<alt (- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))>
#<alt (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))>
#<alt (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))>
#<alt (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))>
#<alt (- (exp (* 2 b)) (exp b))>
#<alt (- (+ (exp (* 2 b)) (* -1 (* a (exp b)))) (exp b))>
#<alt (- (+ (exp (* 2 b)) (* a (- (* -1/2 (* a (exp b))) (exp b)))) (exp b))>
#<alt (- (+ (exp (* 2 b)) (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b)))) (exp b))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
#<alt 1>
#<alt (+ 1 (* 3 b))>
#<alt (+ 1 (* b (+ 3 (* 9/2 b))))>
#<alt (+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
Calls

75 calls:

TimeVariablePointExpression
5.0ms
a
@0
(/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3))))
5.0ms
b
@-inf
(/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3))))
4.0ms
a
@0
(+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3)))
3.0ms
a
@inf
(* (+ (exp a) (exp b)) (exp (neg a)))
2.0ms
b
@inf
(/ 1 (+ 1 (exp b)))

rewrite349.0ms (3.7%)

Memory
-6.6MiB live, 513.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 836×lower-fma.f32
4 834×lower-fma.f64
4 484×lower-/.f32
4 474×lower-/.f64
3 346×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030124
057126
1214121
21565115
08619115
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 632
Calls
Call 1
Inputs
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+.f64 b (exp.f64 a))
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
Outputs
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))
(+.f64 (exp.f64 (+.f64 (neg.f64 a) b)) #s(literal 1 binary64))
(+.f64 (exp.f64 (+.f64 a (neg.f64 a))) (exp.f64 (+.f64 b (neg.f64 a))))
(+.f64 (exp.f64 (+.f64 b (neg.f64 a))) (exp.f64 (+.f64 a (neg.f64 a))))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)))
(fma.f64 (exp.f64 a) (exp.f64 (neg.f64 a)) (exp.f64 (+.f64 b (neg.f64 a))))
(fma.f64 (exp.f64 b) (exp.f64 (neg.f64 a)) (exp.f64 (+.f64 a (neg.f64 a))))
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64))
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
(/.f64 (exp.f64 (neg.f64 a)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (exp.f64 a)) (*.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))) (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (*.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (exp.f64 (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (exp.f64 a)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (exp.f64 a)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 (neg.f64 a))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) (exp.f64 a))
(/.f64 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))
(/.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (exp.f64 (neg.f64 a))) (-.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))) (exp.f64 (neg.f64 a))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (exp.f64 a))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 a #s(literal 3 binary64)))))) (neg.f64 (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (neg.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))) (neg.f64 (exp.f64 a)))
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 a #s(literal 3 binary64)))))) (neg.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (exp.f64 (neg.f64 a)))) (neg.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (neg.f64 a)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (exp.f64 a)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (+.f64 (neg.f64 a) b)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 (+.f64 (neg.f64 a) b)) (exp.f64 (+.f64 (neg.f64 a) b))) (*.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 a) b)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (+.f64 (neg.f64 a) b)) (exp.f64 (+.f64 (neg.f64 a) b)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 (neg.f64 a) b)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 a (neg.f64 a))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (+.f64 b (neg.f64 a))) #s(literal 3 binary64))) (fma.f64 (exp.f64 (+.f64 a (neg.f64 a))) (exp.f64 (+.f64 a (neg.f64 a))) (-.f64 (*.f64 (exp.f64 (+.f64 b (neg.f64 a))) (exp.f64 (+.f64 b (neg.f64 a)))) (*.f64 (exp.f64 (+.f64 a (neg.f64 a))) (exp.f64 (+.f64 b (neg.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 b (neg.f64 a))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (+.f64 a (neg.f64 a))) #s(literal 3 binary64))) (fma.f64 (exp.f64 (+.f64 b (neg.f64 a))) (exp.f64 (+.f64 b (neg.f64 a))) (-.f64 (*.f64 (exp.f64 (+.f64 a (neg.f64 a))) (exp.f64 (+.f64 a (neg.f64 a)))) (*.f64 (exp.f64 (+.f64 b (neg.f64 a))) (exp.f64 (+.f64 a (neg.f64 a)))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))
(*.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 (exp.f64 (neg.f64 a)) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))))
(*.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))) (exp.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (/.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (exp.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))
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(exp.f64 (fma.f64 b #s(literal 3 binary64) (*.f64 (+.f64 b b) #s(literal 3 binary64))))
(/.f64 (exp.f64 (/.f64 (*.f64 b b) #s(literal 0 binary64))) (exp.f64 (/.f64 (*.f64 b b) #s(literal 0 binary64))))
(pow.f64 (exp.f64 b) #s(literal 3 binary64))
(pow.f64 (exp.f64 b) #s(literal 2 binary64))
(pow.f64 (exp.f64 b) #s(literal 9 binary64))
(pow.f64 (exp.f64 b) #s(literal 6 binary64))
(pow.f64 (exp.f64 b) #s(literal 27 binary64))
(pow.f64 (exp.f64 b) #s(literal 18 binary64))
(pow.f64 (exp.f64 b) #s(literal 9/2 binary64))
(pow.f64 (exp.f64 b) #s(literal 4 binary64))
(pow.f64 (exp.f64 b) #s(literal 12 binary64))
(pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 3 binary64))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 9 binary64))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 6 binary64))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 3/2 binary64))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) b)
(pow.f64 (exp.f64 #s(literal 3 binary64)) (+.f64 b b))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 b #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) b)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 b b))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 3 binary64)) (exp.f64 #s(literal 3 binary64))) b)
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) b)
(pow.f64 (exp.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))))
(*.f64 (exp.f64 b) (exp.f64 b))
(*.f64 (exp.f64 b) (exp.f64 (+.f64 b b)))
(*.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))
(*.f64 (exp.f64 (+.f64 b b)) (exp.f64 b))
(*.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64))
(*.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b b)))
(*.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 b #s(literal 3/2 binary64))))
(*.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 (+.f64 b b)))
(*.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 (*.f64 b #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 3 binary64)))

simplify382.0ms (4%)

Memory
14.7MiB live, 561.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 018×lower-fma.f64
8 018×lower-fma.f32
5 232×lower-*.f64
5 232×lower-*.f32
4 350×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05695102
116854755
248724683
082284440
Stop Event
1×iter limit
1×node limit
Counts
300 → 296
Calls
Call 1
Inputs
(+ 1 (exp b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ 1 (exp a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (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)
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 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)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 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))
(/ 1 (+ 2 b))
(+ (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))) (/ 1 (+ 2 b)))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 b))) (/ 1 (pow (+ 2 b) 3))) (* 3/2 (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b))) (/ 1 (pow (+ 2 b) 2)))) (/ 1 (+ 2 b)))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 b))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 2 b))) (* 3/2 (/ 1 (pow (+ 2 b) 3)))) (+ (* 1/6 (/ 1 (pow (+ 2 b) 2))) (+ (* 1/2 (/ 1 (pow (+ 2 b) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))) (+ 2 b))) (/ 1 (pow (+ 2 b) 4))))))) (/ 1 (pow (+ 2 b) 3)))) (* 3/2 (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b))) (/ 1 (pow (+ 2 b) 2)))) (/ 1 (+ 2 b)))
(/ (exp a) (+ 1 (+ b (exp a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (/ (* b (exp a)) (pow (+ 1 (exp a)) 3)) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 4))) (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) b)
(/ (+ (exp a) (* -1 (/ (* (exp a) (+ 1 (exp a))) b))) b)
(/ (- (+ (exp a) (/ (* (exp a) (pow (+ 1 (exp a)) 2)) (pow b 2))) (/ (* (exp a) (+ 1 (exp a))) b)) b)
(/ (- (+ (exp a) (* -1 (/ (* (exp a) (pow (+ 1 (exp a)) 3)) (pow b 3)))) (+ (* -1 (/ (* (exp a) (pow (+ 1 (exp a)) 2)) (pow b 2))) (/ (* (exp a) (+ 1 (exp a))) b))) b)
(/ (exp a) b)
(* -1 (/ (+ (* -1 (exp a)) (/ (* (exp a) (+ 1 (exp a))) b)) b))
(* -1 (/ (+ (* -1 (exp a)) (* -1 (/ (- (/ (* (exp a) (pow (+ 1 (exp a)) 2)) b) (* (exp a) (+ 1 (exp a)))) b))) b))
(* -1 (/ (+ (* -1 (exp a)) (* -1 (/ (- (* -1 (/ (- (/ (* (exp a) (pow (+ 1 (exp a)) 3)) b) (* (exp a) (pow (+ 1 (exp a)) 2))) b)) (* (exp a) (+ 1 (exp a)))) b))) b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
b
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
b
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(+ 2 b)
(+ 2 (+ a b))
(+ 2 (+ b (* a (+ 1 (* 1/2 a)))))
(+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(exp a)
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
b
(* b (+ 1 (/ (exp a) b)))
(* b (+ 1 (/ (exp a) b)))
(* b (+ 1 (/ (exp a) b)))
b
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(+ 1 b)
(+ 1 (+ a b))
(+ 1 (+ b (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ b (exp a))
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(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(- (+ 1 (exp (* 2 b))) (exp b))
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (* -1 (exp b)))) (exp b))))) (exp b))
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (* 1/2 (- (exp (* 2 b)) (exp b)))))))))) (exp b))))) (exp b))
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (+ (* 1/2 (- (exp (* 2 b)) (exp b))) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/6 (exp b)) (* 1/6 (- (exp (* 2 b)) (exp b))))))))))))))) (exp b))))) (exp b))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- 1 (exp a))))
(+ (exp (* 3 a)) (+ (* b (* (exp a) (- 2 (exp a)))) (* (exp a) (- 1 (exp a)))))
(+ (exp (* 3 a)) (+ (* b (+ (* b (* (exp a) (- 2 (* 1/2 (exp a))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))
(+ (exp (* 3 a)) (+ (* b (+ (* b (+ (* b (* (exp a) (- 4/3 (* 1/6 (exp a))))) (* (exp a) (- 2 (* 1/2 (exp a)))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(/ (- (+ 1 (exp (* 2 b))) (exp b)) (+ 1 (exp (* 3 b))))
(- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))
(- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))
(- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ 1 (+ 1 (exp (* 3 b))))) (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/6 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/6 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))))) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (* 9/2 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))))))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (+ 1 (exp (* 3 a))))
(+ (* b (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(+ (* b (- (+ (* b (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(+ (* b (- (+ (* b (- (+ (* b (- (/ (* (exp a) (- 4/3 (* 1/6 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ 1 (exp (* 3 a))))) (+ (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))) (* 9/2 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))))))) (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a))))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(- 1 (exp a))
(- (+ 1 (* b (- 2 (exp a)))) (exp a))
(- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a))
(- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(- (exp (* 2 b)) (exp b))
(- (+ (exp (* 2 b)) (* -1 (* a (exp b)))) (exp b))
(- (+ (exp (* 2 b)) (* a (- (* -1/2 (* a (exp b))) (exp b)))) (exp b))
(- (+ (exp (* 2 b)) (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b)))) (exp b))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
1
(+ 1 (* 3 b))
(+ 1 (* b (+ 3 (* 9/2 b))))
(+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
Outputs
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(+.f64 (exp.f64 b) (fma.f64 (exp.f64 b) (neg.f64 a) #s(literal 1 binary64)))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(fma.f64 a (fma.f64 a (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (exp.f64 b) #s(literal -1/6 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ 1 (exp a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(*.f64 (exp.f64 (neg.f64 a)) (+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 b (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 b (fma.f64 b (*.f64 (exp.f64 (neg.f64 a)) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 (neg.f64 (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (fma.f64 a (fma.f64 a (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 (neg.f64 (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 (neg.f64 (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 (neg.f64 (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+.f64 (/.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (fma.f64 b (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (fma.f64 b (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (fma.f64 b (-.f64 (-.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b 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)))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #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 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp 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)) (+.f64 #s(literal 1 binary64) (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))
(+ (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)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* 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 2 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
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)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 a #s(literal 2 binary64))
(+ 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))
(+ 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))
(/ 1 (+ 2 b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(+ (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))) (/ 1 (+ 2 b)))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 b))) (/ 1 (pow (+ 2 b) 3))) (* 3/2 (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b))) (/ 1 (pow (+ 2 b) 2)))) (/ 1 (+ 2 b)))
(fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b #s(literal 2 binary64)) (*.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 b))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 2 b))) (* 3/2 (/ 1 (pow (+ 2 b) 3)))) (+ (* 1/6 (/ 1 (pow (+ 2 b) 2))) (+ (* 1/2 (/ 1 (pow (+ 2 b) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))) (+ 2 b))) (/ 1 (pow (+ 2 b) 4))))))) (/ 1 (pow (+ 2 b) 3)))) (* 3/2 (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b))) (/ 1 (pow (+ 2 b) 2)))) (/ 1 (+ 2 b)))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b #s(literal 2 binary64))) (fma.f64 a (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 3/2 binary64) (*.f64 (+.f64 b #s(literal 2 binary64)) (*.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64)))))) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64)))) #s(literal 2/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64)))))) (+.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b #s(literal 2 binary64)) (*.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64))))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/.f64 (exp.f64 a) (+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/.f64 (exp.f64 a) (+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/.f64 (exp.f64 a) (+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/.f64 (exp.f64 a) (+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/.f64 (exp.f64 a) (+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/.f64 (exp.f64 a) (+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/.f64 (exp.f64 a) (+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/.f64 (exp.f64 a) (+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+.f64 (/.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(+ (* b (- (/ (* b (exp a)) (pow (+ 1 (exp a)) 3)) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 b (fma.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(+ (* b (- (* b (- (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 4))) (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 b (fma.f64 b (-.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/ (exp a) b)
(/.f64 (exp.f64 a) b)
(/ (+ (exp a) (* -1 (/ (* (exp a) (+ 1 (exp a))) b))) b)
(/.f64 (*.f64 (neg.f64 (exp.f64 a)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64))) b)
(/ (- (+ (exp a) (/ (* (exp a) (pow (+ 1 (exp a)) 2)) (pow b 2))) (/ (* (exp a) (+ 1 (exp a))) b)) b)
(/.f64 (+.f64 (exp.f64 a) (/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) b)) b)
(/ (- (+ (exp a) (* -1 (/ (* (exp a) (pow (+ 1 (exp a)) 3)) (pow b 3)))) (+ (* -1 (/ (* (exp a) (pow (+ 1 (exp a)) 2)) (pow b 2))) (/ (* (exp a) (+ 1 (exp a))) b))) b)
(/.f64 (+.f64 (fma.f64 (neg.f64 (exp.f64 a)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal 3 binary64)) (exp.f64 a)) (/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) b)) b)
(/ (exp a) b)
(/.f64 (exp.f64 a) b)
(* -1 (/ (+ (* -1 (exp a)) (/ (* (exp a) (+ 1 (exp a))) b)) b))
(/.f64 (*.f64 (neg.f64 (exp.f64 a)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64))) b)
(* -1 (/ (+ (* -1 (exp a)) (* -1 (/ (- (/ (* (exp a) (pow (+ 1 (exp a)) 2)) b) (* (exp a) (+ 1 (exp a)))) b))) b))
(/.f64 (+.f64 (exp.f64 a) (/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) b)) b)
(* -1 (/ (+ (* -1 (exp a)) (* -1 (/ (- (* -1 (/ (- (/ (* (exp a) (pow (+ 1 (exp a)) 3)) b) (* (exp a) (pow (+ 1 (exp a)) 2))) b)) (* (exp a) (+ 1 (exp a)))) b))) b))
(/.f64 (+.f64 (exp.f64 a) (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (exp.f64 a) (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b)) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))) b)) b)
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(+.f64 b (fma.f64 b (/.f64 (exp.f64 a) b) #s(literal 1 binary64)))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(+.f64 b (fma.f64 b (/.f64 (exp.f64 a) b) #s(literal 1 binary64)))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(+.f64 b (fma.f64 b (/.f64 (exp.f64 a) b) #s(literal 1 binary64)))
b
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b) (neg.f64 b) b)
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b) (neg.f64 b) b)
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b) (neg.f64 b) b)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (+ a b))
(+.f64 #s(literal 2 binary64) (+.f64 b a))
(+ 2 (+ b (* a (+ 1 (* 1/2 a)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 b #s(literal 2 binary64)))
(+ 2 (+ b (* 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)) (+.f64 b #s(literal 2 binary64)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(exp a)
(exp.f64 a)
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
b
(* b (+ 1 (/ (exp a) b)))
(fma.f64 b (/.f64 (exp.f64 a) b) b)
(* b (+ 1 (/ (exp a) b)))
(fma.f64 b (/.f64 (exp.f64 a) b) b)
(* b (+ 1 (/ (exp a) b)))
(fma.f64 b (/.f64 (exp.f64 a) b) b)
b
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(fma.f64 b (/.f64 (exp.f64 a) b) b)
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(fma.f64 b (/.f64 (exp.f64 a) b) b)
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(fma.f64 b (/.f64 (exp.f64 a) b) b)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (+ a b))
(+.f64 #s(literal 1 binary64) (+.f64 b a))
(+ 1 (+ 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)) b))
(+ 1 (+ b (* 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)) (+.f64 #s(literal 1 binary64) b))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(- (+ 1 (exp (* 2 b))) (exp b))
(+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 b)))
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (* -1 (exp b)))) (exp b))))) (exp b))
(+.f64 (fma.f64 a (+.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 b)) (-.f64 #s(literal 3 binary64) (exp.f64 b))) (exp.f64 (+.f64 b b))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (* 1/2 (- (exp (* 2 b)) (exp b)))))))))) (exp b))))) (exp b))
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(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (+ 1 (exp (* 3 a))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))
(+ (* b (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(fma.f64 b (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal -3 binary64) (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))) (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))
(+ (* b (- (+ (* b (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(fma.f64 b (fma.f64 b (fma.f64 (exp.f64 a) (/.f64 (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (-.f64 (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 3 binary64)))) #s(literal -3 binary64) (*.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal -9/2 binary64)))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal -3 binary64) (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))))) (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))
(+ (* b (- (+ (* b (- (+ (* b (- (/ (* (exp a) (- 4/3 (* 1/6 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ 1 (exp (* 3 a))))) (+ (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))) (* 9/2 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))))))) (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a))))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 (exp.f64 a) (/.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 a) #s(literal 4/3 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (/.f64 (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (-.f64 (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 3 binary64)))) #s(literal -3 binary64) (*.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal -9/2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) #s(literal -3 binary64) (*.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 3 binary64)))) #s(literal -9/2 binary64)))) (fma.f64 (exp.f64 a) (/.f64 (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (-.f64 (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 3 binary64)))) #s(literal -3 binary64) (*.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal -9/2 binary64))))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal -3 binary64) (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))))) (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(- 1 (exp a))
(-.f64 #s(literal 1 binary64) (exp.f64 a))
(- (+ 1 (* b (- 2 (exp a)))) (exp a))
(fma.f64 b (-.f64 #s(literal 2 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a))
(fma.f64 b (fma.f64 b (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a))
(fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/6 binary64) (exp.f64 a) #s(literal 4/3 binary64)) (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp b))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 b))
(- (+ (exp (* 2 b)) (* -1 (* a (exp b)))) (exp b))
(fma.f64 (exp.f64 b) (neg.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 b)))
(- (+ (exp (* 2 b)) (* a (- (* -1/2 (* a (exp b))) (exp b)))) (exp b))
(fma.f64 a (*.f64 (exp.f64 b) (fma.f64 a #s(literal -1/2 binary64) #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 b)))
(- (+ (exp (* 2 b)) (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b)))) (exp b))
(fma.f64 a (fma.f64 a (*.f64 (exp.f64 b) (fma.f64 a #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 b))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 b)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
1
#s(literal 1 binary64)
(+ 1 (* 3 b))
(fma.f64 b #s(literal 3 binary64) #s(literal 1 binary64))
(+ 1 (* b (+ 3 (* 9/2 b))))
(fma.f64 b (fma.f64 b #s(literal 9/2 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 9/2 binary64) #s(literal 9/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))

eval371.0ms (3.9%)

Memory
-167.0MiB live, 237.8MiB allocated
Compiler

Compiled 23 313 to 2 364 computations (89.9% saved)

prune113.0ms (1.2%)

Memory
-4.8MiB live, 232.8MiB allocated
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1 003151 018
Fresh101
Picked235
Done000
Total1 006181 024
Accuracy
100.0%
Counts
1 024 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.5%
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
37.8%
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
38.8%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
42.5%
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
42.4%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
42.3%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓63.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓61.0%
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
23.8%
(/.f64 (exp.f64 a) b)
▶55.9%
(/.f64 #s(literal 1 binary64) (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 2 binary64)))
▶53.4%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
▶39.0%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
▶100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
64.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
✓85.3%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
28.6%
(+.f64 (exp.f64 b) #s(literal 1 binary64))
85.4%
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
▶41.6%
#s(literal 1/2 binary64)
Compiler

Compiled 308 to 225 computations (26.9% saved)

simplify125.0ms (1.3%)

Memory
21.8MiB live, 135.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
(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 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (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 2 binary64)))
✓cost-diff0
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓cost-diff0
(+.f64 b #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓cost-diff0
(-.f64 b a)
✓cost-diff0
(exp.f64 (-.f64 b a))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
Rules
2 560×lower-fma.f32
2 550×lower-fma.f64
764×lower-*.f64
764×lower-*.f32
500×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01998
03798
17198
212298
322198
429398
543498
654398
772598
8171698
9216798
10230998
11239198
12244398
13245998
14246298
0246298
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(exp.f64 (-.f64 b a))
(-.f64 b a)
b
a
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 b #s(literal 2 binary64))
b
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (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 2 binary64)))
#s(literal 1 binary64)
(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 2 binary64))
b
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(exp.f64 (-.f64 b a))
(-.f64 b a)
b
a
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 b #s(literal 2 binary64))
b
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (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 2 binary64)))
#s(literal 1 binary64)
(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 2 binary64))
b
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)

localize76.0ms (0.8%)

Memory
31.2MiB live, 140.4MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(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 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (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 2 binary64)))
✓accuracy99.9%
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓accuracy99.8%
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓accuracy100.0%
(+.f64 b #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓accuracy100.0%
(-.f64 b a)
✓accuracy100.0%
(exp.f64 (-.f64 b a))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
Samples
55.0ms256×0valid
Compiler

Compiled 114 to 26 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-add: 16.0ms (39.7% of total)
ival-mult: 11.0ms (27.3% of total)
ival-div: 6.0ms (14.9% of total)
const: 3.0ms (7.4% of total)
ival-exp: 2.0ms (5% of total)
ival-sub: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-11.3MiB live, 25.6MiB allocated
Counts
13 → 204
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))>
#<alt (exp.f64 (-.f64 b a))>
#<alt (-.f64 b a)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))>
#<alt (+.f64 b #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))>
#<alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))>
#<alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (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 2 binary64)))>
#<alt (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 2 binary64))>
#<alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
Outputs
#<alt (/ 1 (+ 1 (exp (neg a))))>
#<alt (+ (* -1 (/ (* b (exp (neg a))) (pow (+ 1 (exp (neg a))) 2))) (/ 1 (+ 1 (exp (neg a)))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))>
#<alt (/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))>
#<alt (/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))>
#<alt (/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (/ 1 (+ 1 (exp b))) (/ (* a (exp b)) (pow (+ 1 (exp b)) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (/ 1 (+ 1 (exp (+ b (* -1 a)))))>
#<alt (/ 1 (+ 1 (exp (+ b (* -1 a)))))>
#<alt (/ 1 (+ 1 (exp (+ b (* -1 a)))))>
#<alt (/ 1 (+ 1 (exp (+ b (* -1 a)))))>
#<alt (+ 1 (exp (neg a)))>
#<alt (+ 1 (+ (exp (neg a)) (* b (exp (neg a)))))>
#<alt (+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a))))))))>
#<alt (+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a)))))))))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (neg (+ a (* -1 b)))))>
#<alt (+ 1 (exp (neg (+ a (* -1 b)))))>
#<alt (+ 1 (exp (neg (+ a (* -1 b)))))>
#<alt (+ 1 (exp (neg (+ a (* -1 b)))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ (exp b) (* -1 (* a (exp b)))))>
#<alt (+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b))))))))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (+ b (* -1 a))))>
#<alt (+ 1 (exp (+ b (* -1 a))))>
#<alt (+ 1 (exp (+ b (* -1 a))))>
#<alt (+ 1 (exp (+ b (* -1 a))))>
#<alt (exp (neg a))>
#<alt (+ (exp (neg a)) (* b (exp (neg a))))>
#<alt (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))))>
#<alt (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (neg (+ a (* -1 b))))>
#<alt (exp (neg (+ a (* -1 b))))>
#<alt (exp (neg (+ a (* -1 b))))>
#<alt (exp (neg (+ a (* -1 b))))>
#<alt (exp b)>
#<alt (+ (exp b) (* -1 (* a (exp b))))>
#<alt (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b))))))>
#<alt (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b)))))))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (+ b (* -1 a)))>
#<alt (exp (+ b (* -1 a)))>
#<alt (exp (+ b (* -1 a)))>
#<alt (exp (+ b (* -1 a)))>
#<alt (* -1 a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt b>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt b>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (* -1 a)>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/8 b) 1/4)))>
#<alt (+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4)))>
#<alt (/ 1 b)>
#<alt (/ (- 1 (* 2 (/ 1 b))) b)>
#<alt (/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b)>
#<alt (/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (* 2 (/ 1 b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) 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 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* 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)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (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) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))>
#<alt (/ 6 (pow b 3))>
#<alt (/ (- 6 (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))>
#<alt (/ 6 (pow b 3))>
#<alt (* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (* 1/6 b)>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* 1/6 b)>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
Calls

51 calls:

TimeVariablePointExpression
3.0ms
b
@-inf
(/ 1 (+ 1 (exp (- b a))))
1.0ms
b
@0
(/ 1 (+ 1 (exp (- b a))))
1.0ms
a
@0
(/ 1 (+ 1 (exp (- b a))))
1.0ms
a
@-inf
(/ 1 (+ 1 (exp (- b a))))
1.0ms
b
@inf
(/ 1 (+ 1 (exp (- b a))))

rewrite293.0ms (3.1%)

Memory
-8.5MiB live, 483.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 818×lower-*.f64
4 818×lower-*.f32
4 730×lower-/.f32
4 722×lower-/.f64
3 082×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01982
03782
118882
2139282
0837782
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 570
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(exp.f64 (-.f64 b a))
(-.f64 b a)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(+.f64 b #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (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 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)) #s(literal 2 binary64))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
Outputs
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 b a))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (/.f64 (exp.f64 (-.f64 b a)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (/.f64 (exp.f64 (-.f64 b a)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))))
(/.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (exp.f64 (-.f64 b a))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 b a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(*.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 b a))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (expm1.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 b a))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (exp.f64 b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 a))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (-.f64 b a)) (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #s(literal 1 binary64))
(/.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (expm1.f64 (-.f64 b a)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 (-.f64 b a) (-.f64 b a)) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 (-.f64 b a) (-.f64 b a)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 (-.f64 b a) (-.f64 b a)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (+.f64 (-.f64 b a) (-.f64 b a)) (+.f64 (-.f64 b a) (-.f64 b a)))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (+.f64 (-.f64 b a) (-.f64 b a)) (+.f64 (-.f64 b a) (-.f64 b a))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 (-.f64 b a))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (fma.f64 (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal 1 binary64))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(*.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 b a))))
(exp.f64 (-.f64 b a))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 a b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (*.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 a b))))
(/.f64 (exp.f64 b) (exp.f64 a))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (*.f64 b #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))

simplify589.0ms (6.2%)

Memory
14.3MiB live, 605.1MiB allocated
Algorithm
1×egg-herbie
Rules
14 494×lower-fma.f64
14 494×lower-fma.f32
5 642×lower-*.f64
5 642×lower-*.f32
4 100×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03201838
19841769
229551704
089101603
Stop Event
1×iter limit
1×node limit
Counts
204 → 199
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (neg a))))
(+ (* -1 (/ (* b (exp (neg a))) (pow (+ 1 (exp (neg a))) 2))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (exp b)) (pow (+ 1 (exp b)) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(+ 1 (exp (neg a)))
(+ 1 (+ (exp (neg a)) (* b (exp (neg a)))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a))))))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a)))))))))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (neg (+ a (* -1 b)))))
(+ 1 (exp (neg (+ a (* -1 b)))))
(+ 1 (exp (neg (+ a (* -1 b)))))
(+ 1 (exp (neg (+ a (* -1 b)))))
(+ 1 (exp b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b)))))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b))))))))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (+ b (* -1 a))))
(+ 1 (exp (+ b (* -1 a))))
(+ 1 (exp (+ b (* -1 a))))
(+ 1 (exp (+ b (* -1 a))))
(exp (neg a))
(+ (exp (neg a)) (* b (exp (neg a))))
(+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))))
(+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))))
(exp (- b a))
(exp (- b a))
(exp (- b a))
(exp (- b a))
(exp (neg (+ a (* -1 b))))
(exp (neg (+ a (* -1 b))))
(exp (neg (+ a (* -1 b))))
(exp (neg (+ a (* -1 b))))
(exp b)
(+ (exp b) (* -1 (* a (exp b))))
(+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b))))))
(+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b)))))))
(exp (- b a))
(exp (- b a))
(exp (- b a))
(exp (- b a))
(exp (+ b (* -1 a)))
(exp (+ b (* -1 a)))
(exp (+ b (* -1 a)))
(exp (+ b (* -1 a)))
(* -1 a)
(- b a)
(- b a)
(- b a)
b
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
b
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
b
(+ b (* -1 a))
(+ b (* -1 a))
(+ b (* -1 a))
(* -1 a)
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/8 b) 1/4)))
(+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4)))
(/ 1 b)
(/ (- 1 (* 2 (/ 1 b))) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b)
(/ 1 b)
(* -1 (/ (- (* 2 (/ 1 b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) 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))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* 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)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
1
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))
(/ 6 (pow b 3))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))
(/ 6 (pow b 3))
(* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
1/2
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
Outputs
(/ 1 (+ 1 (exp (neg a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* -1 (/ (* b (exp (neg a))) (pow (+ 1 (exp (neg a))) 2))) (/ 1 (+ 1 (exp (neg a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64)) (exp.f64 a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(fma.f64 b (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(fma.f64 b (fma.f64 b (neg.f64 (fma.f64 b (fma.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (neg.f64 (/.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64)) (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))))) (/.f64 (exp.f64 (neg.f64 a)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (exp b)) (pow (+ 1 (exp b)) 2)))
(fma.f64 a (/.f64 (exp.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (/.f64 (exp.f64 (+.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (neg.f64 (*.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (*.f64 (neg.f64 a) (fma.f64 (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (+.f64 b b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))))) (fma.f64 a (/.f64 (exp.f64 (+.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (neg.f64 (*.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
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(+ 1/2 (* 1/6 b))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))

eval99.0ms (1%)

Memory
-14.3MiB live, 171.9MiB allocated
Compiler

Compiled 18 013 to 2 402 computations (86.7% saved)

prune159.0ms (1.7%)

Memory
19.3MiB live, 180.6MiB allocated
Pruning

36 alts after pruning (29 fresh and 7 done)

PrunedKeptTotal
New74920769
Fresh1910
Picked145
Done033
Total75136787
Accuracy
100.0%
Counts
787 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.5%
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
37.8%
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
38.8%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
42.5%
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
42.4%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
▶42.3%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
42.5%
(/.f64 (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 -2 binary64)) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) #s(literal -4 binary64)))
44.4%
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 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 -4 binary64)))
19.3%
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
✓63.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓61.0%
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
23.8%
(/.f64 (exp.f64 a) b)
19.8%
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
18.2%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
55.9%
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) (+.f64 b #s(literal 2 binary64))))
45.0%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 b (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
35.0%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b))
55.9%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
▶55.9%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
✓55.9%
(/.f64 #s(literal 1 binary64) (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 2 binary64)))
▶40.6%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
55.9%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
44.2%
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (fma.f64 b (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
20.2%
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))
▶53.1%
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
55.9%
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))) b))
✓39.0%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
64.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
✓85.3%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
34.7%
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b)))))
20.7%
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
3.5%
(/.f64 #s(literal 1 binary64) b)
28.6%
(+.f64 (exp.f64 b) #s(literal 1 binary64))
▶85.4%
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
✓41.6%
#s(literal 1/2 binary64)
Compiler

Compiled 948 to 619 computations (34.7% saved)

simplify278.0ms (2.9%)

Memory
8.8MiB live, 293.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓cost-diff448
(-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))
✓cost-diff0
(*.f64 b b)
✓cost-diff0
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
✓cost-diff320
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 b #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓cost-diff0
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(exp.f64 b)
✓cost-diff0
(log1p.f64 (exp.f64 b))
✓cost-diff192
(*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))
✓cost-diff12032
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
Rules
9 152×lower-fma.f32
9 134×lower-fma.f64
3 060×lower-*.f32
3 050×lower-*.f64
1 494×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034229
065217
1124215
2222210
3449210
4614210
5781210
61290210
72661210
85463210
96995210
107363210
117430210
127454210
137481210
08029194
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
b
#s(literal -1 binary64)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
a
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64))
b
(*.f64 b #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
b
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 b b)
#s(literal 1/6 binary64)
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))
(fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))
(*.f64 b (*.f64 b b))
(*.f64 b b)
#s(literal 1/216 binary64)
#s(literal 1/8 binary64)
(-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))
(fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))
#s(literal 1/36 binary64)
#s(literal 1/4 binary64)
(*.f64 b #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(literal 2 binary64)
Outputs
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))
(neg.f64 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
b
#s(literal -1 binary64)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
a
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal -2 binary64)))
#s(literal 1 binary64)
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 2 binary64))
b
(*.f64 b #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (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 -2 binary64)))
#s(literal 1 binary64)
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #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)) #s(literal 2 binary64))
b
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 b b)
#s(literal 1/6 binary64)
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 b (fma.f64 b #s(literal -1/36 binary64) #s(literal 1/12 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) #s(literal -2 binary64)))
#s(literal 1 binary64)
(fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/36 binary64) #s(literal -1/12 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/36 binary64) #s(literal -1/12 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/36 binary64) #s(literal -1/12 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))
(*.f64 b (*.f64 b b))
(*.f64 b b)
#s(literal 1/216 binary64)
#s(literal 1/8 binary64)
(-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/36 binary64) #s(literal -1/12 binary64)) #s(literal 1/4 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))
#s(literal 1/36 binary64)
#s(literal 1/4 binary64)
(*.f64 b #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(literal 2 binary64)

localize129.0ms (1.3%)

Memory
-12.2MiB live, 257.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 b (*.f64 b b))
✓accuracy99.6%
(fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))
✓accuracy99.6%
(*.f64 b #s(literal 1/12 binary64))
✓accuracy85.2%
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))
✓accuracy100.0%
(*.f64 b b)
✓accuracy100.0%
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
✓accuracy99.6%
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓accuracy100.0%
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 b #s(literal 1/2 binary64))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓accuracy100.0%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
✓accuracy99.2%
(log1p.f64 (exp.f64 b))
Samples
57.0ms189×0valid
27.0ms67×1exit
Compiler

Compiled 265 to 44 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 22.0ms (34.5% of total)
const: 13.0ms (20.4% of total)
ival-add: 9.0ms (14.1% of total)
ival-div: 6.0ms (9.4% of total)
adjust: 5.0ms (7.8% of total)
ival-exp: 5.0ms (7.8% of total)
ival-log1p: 3.0ms (4.7% of total)
ival-sub: 1.0ms (1.6% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series113.0ms (1.2%)

Memory
21.8MiB live, 134.1MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))>
#<alt (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))>
#<alt (log1p.f64 (exp.f64 b))>
#<alt (exp.f64 b)>
#<alt (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 b #s(literal 1/2 binary64))>
#<alt (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))>
#<alt (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))>
#<alt (*.f64 b b)>
#<alt (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))>
#<alt (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))>
#<alt (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64))>
#<alt (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))>
#<alt (*.f64 b #s(literal 1/12 binary64))>
#<alt (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))>
#<alt (*.f64 b (*.f64 b b))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (* -1 (log 2))>
#<alt (+ (* -1 (log 2)) (* -1/2 b))>
#<alt (+ (* -1 (log 2)) (* b (- (* -1/8 b) 1/2)))>
#<alt (+ (* -1 (log 2)) (* b (- (* b (- (* 1/192 (pow b 2)) 1/8)) 1/2)))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<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 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 (pow b 2)))>
#<alt (+ 1/2 (* (pow b 2) (- (* 1/32 (pow b 2)) 1/8)))>
#<alt (+ 1/2 (* (pow b 2) (- (* (pow b 2) (+ 1/32 (* -1/128 (pow b 2)))) 1/8)))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 8 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 32 (pow b 4))) (* 8 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 32 (pow b 4))) (+ (* 8 (/ 1 (pow b 2))) (* 128 (/ 1 (pow b 6))))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 8 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 32 (pow b 4))) (* 8 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 32 (pow b 4))) (+ (* 8 (/ 1 (pow b 2))) (* 128 (/ 1 (pow b 6))))) (pow b 2))>
#<alt 2>
#<alt (+ 2 (* 1/2 (pow b 2)))>
#<alt (+ 2 (* 1/2 (pow b 2)))>
#<alt (+ 2 (* 1/2 (pow b 2)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))>
#<alt (/ 6 (pow b 3))>
#<alt (/ (- 6 (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))>
#<alt (/ 6 (pow b 3))>
#<alt (* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))>
#<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 1/4>
#<alt (+ 1/4 (* -1/12 b))>
#<alt (+ 1/4 (* b (- (* 1/36 b) 1/12)))>
#<alt (+ 1/4 (* b (- (* 1/36 b) 1/12)))>
#<alt (* 1/36 (pow b 2))>
#<alt (* (pow b 2) (- 1/36 (* 1/12 (/ 1 b))))>
#<alt (* (pow b 2) (- (+ 1/36 (/ 1/4 (pow b 2))) (* 1/12 (/ 1 b))))>
#<alt (* (pow b 2) (- (+ 1/36 (/ 1/4 (pow b 2))) (* 1/12 (/ 1 b))))>
#<alt (* 1/36 (pow b 2))>
#<alt (* (pow b 2) (- 1/36 (* 1/12 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/36 (* -1 (/ (- 1/12 (* 1/4 (/ 1 b))) b))))>
#<alt (* (pow b 2) (+ 1/36 (* -1 (/ (- 1/12 (* 1/4 (/ 1 b))) b))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))>
#<alt (/ 6 (pow b 3))>
#<alt (/ (- 6 (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))>
#<alt (/ 6 (pow b 3))>
#<alt (* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (* 1/6 b)>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* 1/6 b)>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* 1/12 b)>
#<alt (* 1/12 b)>
#<alt (* 1/12 b)>
#<alt (* 1/12 b)>
#<alt (* 1/12 b)>
#<alt (* 1/12 b)>
#<alt (* 1/12 b)>
#<alt (* 1/12 b)>
#<alt (* 1/12 b)>
#<alt (* 1/12 b)>
#<alt (* 1/12 b)>
#<alt (* 1/12 b)>
#<alt 1/4>
#<alt (+ 1/4 (* 1/36 (pow b 2)))>
#<alt (+ 1/4 (* 1/36 (pow b 2)))>
#<alt (+ 1/4 (* 1/36 (pow b 2)))>
#<alt (* 1/36 (pow b 2))>
#<alt (* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* 1/36 (pow b 2))>
#<alt (* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
Calls

60 calls:

TimeVariablePointExpression
43.0ms
b
@inf
(* (log (+ 1 (exp b))) -1)
25.0ms
b
@-inf
(* (log (+ 1 (exp b))) -1)
17.0ms
b
@inf
(/ 1 (+ (* b (* b 1/2)) 2))
6.0ms
b
@inf
(log (+ 1 (exp b)))
6.0ms
b
@-inf
(log (+ 1 (exp b)))

rewrite342.0ms (3.6%)

Memory
5.7MiB live, 586.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 902×lower-fma.f32
4 884×lower-fma.f64
3 882×lower-*.f32
3 872×lower-*.f64
3 672×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034192
065182
1280180
22161180
08264169
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 508
Calls
Call 1
Inputs
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 b #s(literal 1/2 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 b b)
(-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))
(*.f64 b #s(literal 1/12 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))
(*.f64 b (*.f64 b b))
Outputs
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (neg.f64 (exp.f64 (+.f64 b b))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (neg.f64 (exp.f64 b)))))
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
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(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64)) (-.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/16 binary64)) (*.f64 (*.f64 b b) #s(literal 1/144 binary64))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 1/144 binary64)))))
(/.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1/16 binary64)) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/16 binary64)) (*.f64 (*.f64 b b) #s(literal 1/144 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 1/144 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1/16 binary64))) (neg.f64 (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/16 binary64)) (*.f64 (*.f64 b b) #s(literal 1/144 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1/16 binary64)))) (neg.f64 (neg.f64 (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 b b) (*.f64 b b))))) (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/36 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/16 binary64)) (*.f64 (*.f64 b b) #s(literal 1/144 binary64))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1/16 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/16 binary64)) (*.f64 (*.f64 b b) #s(literal 1/144 binary64)))))
(*.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64))
(*.f64 b (*.f64 b b))
(*.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 b b) b)
(*.f64 (*.f64 b (*.f64 b b)) #s(literal 1 binary64))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))

simplify517.0ms (5.4%)

Memory
-29.9MiB live, 518.1MiB allocated
Algorithm
1×egg-herbie
Rules
10 664×lower-fma.f64
10 664×lower-fma.f32
3 936×lower-*.f64
3 936×lower-*.f32
3 074×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02151596
15941577
215481553
346311541
081551366
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(* -1 (log 2))
(+ (* -1 (log 2)) (* -1/2 b))
(+ (* -1 (log 2)) (* b (- (* -1/8 b) 1/2)))
(+ (* -1 (log 2)) (* b (- (* b (- (* 1/192 (pow b 2)) 1/8)) 1/2)))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(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)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
1/2
(+ 1/2 (* -1/8 (pow b 2)))
(+ 1/2 (* (pow b 2) (- (* 1/32 (pow b 2)) 1/8)))
(+ 1/2 (* (pow b 2) (- (* (pow b 2) (+ 1/32 (* -1/128 (pow b 2)))) 1/8)))
(/ 2 (pow b 2))
(/ (- 2 (* 8 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 2 (/ 32 (pow b 4))) (* 8 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 2 (/ 32 (pow b 4))) (+ (* 8 (/ 1 (pow b 2))) (* 128 (/ 1 (pow b 6))))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 8 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 2 (/ 32 (pow b 4))) (* 8 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 2 (/ 32 (pow b 4))) (+ (* 8 (/ 1 (pow b 2))) (* 128 (/ 1 (pow b 6))))) (pow b 2))
2
(+ 2 (* 1/2 (pow b 2)))
(+ 2 (* 1/2 (pow b 2)))
(+ 2 (* 1/2 (pow b 2)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))
(/ 6 (pow b 3))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))
(/ 6 (pow b 3))
(* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(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)
1/4
(+ 1/4 (* -1/12 b))
(+ 1/4 (* b (- (* 1/36 b) 1/12)))
(+ 1/4 (* b (- (* 1/36 b) 1/12)))
(* 1/36 (pow b 2))
(* (pow b 2) (- 1/36 (* 1/12 (/ 1 b))))
(* (pow b 2) (- (+ 1/36 (/ 1/4 (pow b 2))) (* 1/12 (/ 1 b))))
(* (pow b 2) (- (+ 1/36 (/ 1/4 (pow b 2))) (* 1/12 (/ 1 b))))
(* 1/36 (pow b 2))
(* (pow b 2) (- 1/36 (* 1/12 (/ 1 b))))
(* (pow b 2) (+ 1/36 (* -1 (/ (- 1/12 (* 1/4 (/ 1 b))) b))))
(* (pow b 2) (+ 1/36 (* -1 (/ (- 1/12 (* 1/4 (/ 1 b))) b))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))
(/ 6 (pow b 3))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))
(/ 6 (pow b 3))
(* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
1/2
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/12 b)
(* 1/12 b)
(* 1/12 b)
(* 1/12 b)
(* 1/12 b)
(* 1/12 b)
(* 1/12 b)
(* 1/12 b)
(* 1/12 b)
(* 1/12 b)
(* 1/12 b)
(* 1/12 b)
1/4
(+ 1/4 (* 1/36 (pow b 2)))
(+ 1/4 (* 1/36 (pow b 2)))
(+ 1/4 (* 1/36 (pow b 2)))
(* 1/36 (pow b 2))
(* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))
(* 1/36 (pow b 2))
(* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(* -1 (log 2))
(neg.f64 (log.f64 #s(literal 2 binary64)))
(+ (* -1 (log 2)) (* -1/2 b))
(-.f64 (*.f64 b #s(literal -1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (* -1 (log 2)) (* b (- (* -1/8 b) 1/2)))
(-.f64 (*.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(+ (* -1 (log 2)) (* b (- (* b (- (* 1/192 (pow b 2)) 1/8)) 1/2)))
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/192 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(literal 2 binary64))))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #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)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 a))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 a))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
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#s(literal 1/4 binary64)
(+ 1/4 (* 1/36 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* 1/36 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* 1/36 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))
(* 1/36 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 1/36 binary64))
(* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))
(* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))
(* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))
(* 1/36 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 1/36 binary64))
(* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))
(* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))
(* (pow b 2) (+ 1/36 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))

eval106.0ms (1.1%)

Memory
5.0MiB live, 193.0MiB allocated
Compiler

Compiled 24 582 to 2 433 computations (90.1% saved)

prune104.0ms (1.1%)

Memory
23.8MiB live, 232.9MiB allocated
Pruning

31 alts after pruning (23 fresh and 8 done)

PrunedKeptTotal
New7897796
Fresh81624
Picked325
Done167
Total80131832
Accuracy
100.0%
Counts
832 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.5%
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
37.8%
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
37.5%
(fma.f64 b (*.f64 b #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
38.8%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
42.5%
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
42.4%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓42.3%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
42.5%
(/.f64 (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 -2 binary64)) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) #s(literal -4 binary64)))
19.3%
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
✓63.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓61.0%
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
23.8%
(/.f64 (exp.f64 a) b)
19.8%
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
18.2%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
20.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))
35.0%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b))
✓55.9%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
12.7%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
60.2%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓39.0%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
64.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
✓85.3%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
34.7%
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b)))))
20.7%
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
3.5%
(/.f64 #s(literal 1 binary64) b)
28.6%
(+.f64 (exp.f64 b) #s(literal 1 binary64))
44.1%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -4 binary64))) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal -2 binary64)))
3.7%
(*.f64 #s(literal 1/4 binary64) a)
85.4%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓41.6%
#s(literal 1/2 binary64)
Compiler

Compiled 977 to 434 computations (55.6% saved)

regimes66.0ms (0.7%)

Memory
8.6MiB live, 121.8MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 b (*.f64 b #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (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 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) (+.f64 b #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))) b))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -4 binary64))) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 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 -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (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 -2 binary64)) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (fma.f64 b (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 b (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(/.f64 (exp.f64 a) b)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/.f64 (exp.f64 a) (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
Calls

5 calls:

15.0ms
b
13.0ms
a
12.0ms
(exp.f64 b)
11.0ms
(exp.f64 a)
11.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
100.0%1(exp.f64 a)
100.0%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes59.0ms (0.6%)

Memory
-11.4MiB live, 105.5MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 b (*.f64 b #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (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 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) (+.f64 b #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))) b))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -4 binary64))) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 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 -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (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 -2 binary64)) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (fma.f64 b (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 b (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(/.f64 (exp.f64 a) b)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Calls

5 calls:

13.0ms
(exp.f64 b)
13.0ms
a
11.0ms
b
10.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.4%2a
99.7%3b
85.3%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.4%2(exp.f64 a)
99.7%3(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes30.0ms (0.3%)

Memory
-13.0MiB live, 63.0MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 b (*.f64 b #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (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 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) (+.f64 b #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))) b))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -4 binary64))) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 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 -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (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 -2 binary64)) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (fma.f64 b (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 b (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(/.f64 (exp.f64 a) b)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) b)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Calls

2 calls:

18.0ms
a
10.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.2%2a
97.8%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes51.0ms (0.5%)

Memory
29.1MiB live, 106.5MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 b (*.f64 b #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (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 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) (+.f64 b #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))) b))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -4 binary64))) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 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 -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (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 -2 binary64)) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (fma.f64 b (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 b (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(/.f64 (exp.f64 a) b)
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
Calls

5 calls:

11.0ms
a
11.0ms
b
10.0ms
(exp.f64 a)
9.0ms
(exp.f64 b)
8.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
80.7%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
73.8%2(exp.f64 a)
80.7%2b
80.7%2(exp.f64 b)
73.8%2a
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes87.0ms (0.9%)

Memory
-14.6MiB live, 77.7MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 b (*.f64 b #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (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 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) (+.f64 b #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))) b))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -4 binary64))) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 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 -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (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 -2 binary64)) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (fma.f64 b (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 b (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
Calls

5 calls:

30.0ms
a
29.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
10.0ms
b
8.0ms
(exp.f64 a)
8.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
60.2%1(exp.f64 a)
60.2%1a
64.3%2b
64.3%2(exp.f64 b)
64.4%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes22.0ms (0.2%)

Memory
8.2MiB live, 46.5MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 b (*.f64 b #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (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 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) (+.f64 b #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))) b))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -4 binary64))) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal -2 binary64)))
Outputs
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -4 binary64))) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

3 calls:

8.0ms
b
7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
63.4%3b
60.0%2(exp.f64 b)
60.1%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes31.0ms (0.3%)

Memory
-16.2MiB live, 60.9MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 b (*.f64 b #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (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 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) (+.f64 b #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))) b))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b))
Outputs
(/.f64 #s(literal 1 binary64) (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 2 binary64)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
Calls

4 calls:

9.0ms
b
7.0ms
(exp.f64 a)
7.0ms
a
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
60.1%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
55.9%1(exp.f64 a)
55.9%1a
60.0%2b
Compiler

Compiled 20 to 13 computations (35% saved)

regimes19.0ms (0.2%)

Memory
-10.7MiB live, 30.9MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 b (*.f64 b #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
Calls

3 calls:

8.0ms
b
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
59.9%2b
59.9%2(exp.f64 b)
60.0%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 b (*.f64 b #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
Calls

1 calls:

4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
59.9%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes5.0ms (0%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 b (*.f64 b #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
Calls

1 calls:

4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
59.9%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes13.0ms (0.1%)

Memory
-7.3MiB live, 31.9MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 b (*.f64 b #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
Outputs
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
Calls

3 calls:

5.0ms
b
4.0ms
(exp.f64 b)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
59.8%2b
59.8%2(exp.f64 b)
59.9%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes18.0ms (0.2%)

Memory
5.3MiB live, 44.5MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 b (*.f64 b #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
Outputs
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
Calls

5 calls:

4.0ms
(exp.f64 b)
4.0ms
a
4.0ms
b
3.0ms
(exp.f64 a)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
47.9%2a
47.9%2(exp.f64 a)
57.2%2(exp.f64 b)
57.2%2b
57.2%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-15.7MiB live, 22.8MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 b (*.f64 b #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Outputs
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

3 calls:

4.0ms
(exp.f64 b)
3.0ms
b
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
57.0%2(exp.f64 b)
57.0%2b
57.0%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes13.0ms (0.1%)

Memory
30.0MiB live, 30.0MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 b (*.f64 b #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
Outputs
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
Calls

5 calls:

3.0ms
a
3.0ms
b
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
42.3%1(exp.f64 a)
42.3%1a
42.3%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
42.3%1(exp.f64 b)
42.3%1b
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-21.4MiB live, 19.3MiB allocated
Accuracy

Total -24.6b remaining (-65.7%)

Threshold costs -24.6b (-65.7%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
Outputs
#s(literal 1/2 binary64)
Calls

5 calls:

4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
b
1.0ms
a
1.0ms
(exp.f64 b)
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
41.6%1a
41.6%1(exp.f64 a)
41.6%1b
41.6%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
41.6%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9998331648194189
0.9999983313035163
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch12.0ms (0.1%)

Memory
-14.8MiB live, 24.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-3979493.830176379
-246345.4003608476
Samples
6.0ms112×0valid
Compiler

Compiled 125 to 95 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (54.9% of total)
ival-div: 1.0ms (27.4% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.6437559377674459
1.0
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.49280125900929966
0.4998891088452535
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch24.0ms (0.3%)

Memory
9.4MiB live, 48.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
10.0ms
2.5059108486344434e+144
8.086881461609712e+155
12.0ms
1.5156932868138566e-13
0.00039427173577868073
Samples
13.0ms256×0valid
Compiler

Compiled 574 to 392 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 4.0ms (53.1% of total)
ival-div: 2.0ms (26.5% of total)
ival-add: 1.0ms (13.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.49280125900929966
0.4998891088452535
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.20516199624882653
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.20516199624882653
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.20516199624882653
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.20516199624882653
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.20516199624882653
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch12.0ms (0.1%)

Memory
25.2MiB live, 25.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
0.028796953822201116
842.8091372801589
Samples
6.0ms128×0valid
Compiler

Compiled 133 to 107 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (56.8% of total)
ival-div: 1.0ms (28.4% of total)
ival-add: 1.0ms (28.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory
-14.7MiB live, 24.5MiB allocated
Algorithm
1×egg-herbie
Rules
14×*-commutative_binary64
12×+-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090366
1106366
2109366
3110366
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 a #s(literal -250000 binary64)) (/.f64 (exp.f64 a) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 5798438002894027/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4458563631096791/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 b #s(literal 5534023222112865/73786976294838206464 binary64)) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -4 binary64))) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4458563631096791/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) (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 2 binary64))) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b))) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 b #s(literal 8782019273372467/4503599627370496 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 a #s(literal -250000 binary64)) (/.f64 (exp.f64 a) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 5798438002894027/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 5798438002894027/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4458563631096791/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 b #s(literal 5534023222112865/73786976294838206464 binary64)) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -4 binary64))) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 5534023222112865/73786976294838206464 binary64)) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) #s(literal -4 binary64))) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4458563631096791/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) (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 2 binary64))) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b))) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 b #s(literal 8782019273372467/4503599627370496 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

soundness2.1s (21.7%)

Memory
22.3MiB live, 1 398.6MiB allocated
Rules
18 438×lower-fma.f64
18 438×lower-fma.f32
14 494×lower-fma.f64
14 494×lower-fma.f32
10 664×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034192
065182
1280180
22161180
08264169
03201838
19841769
229551704
089101603
02151596
15941577
215481553
346311541
081551366
030124
057126
1214121
21565115
08619115
01982
03782
118882
2139282
0837782
0617
01017
13217
220317
3193617
0863117
0120740
1332725
2963708
33702677
08342640
05695102
116854755
248724683
082284440
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 061 to 581 computations (45.2% saved)

preprocess121.0ms (1.3%)

Memory
-2.1MiB live, 199.7MiB allocated
Compiler

Compiled 776 to 204 computations (73.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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