Quotient of sum of exps

Time bar (total: 8.3s)

analyze5.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB 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)

sample940.0ms (11.4%)

Memory
-3.9MiB live, 1 343.2MiB allocated
Samples
449.0ms8 256×0valid
143.0ms2 904×0exit
Precisions
Click to see histograms. Total time spent on operations: 298.0ms
ival-exp: 161.0ms (53.9% of total)
ival-div: 71.0ms (23.8% of total)
ival-add: 54.0ms (18.1% of total)
ival-true: 9.0ms (3% of total)
ival-assert: 4.0ms (1.3% of total)
Bogosity

preprocess87.0ms (1%)

Memory
8.8MiB live, 47.7MiB 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
178
078
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (exp a) (+ (exp a) (exp b)))
Outputs
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

explain80.0ms (1%)

Memory
17.0MiB live, 143.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(/.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/o20
↳(exp.f64 a)overflow2
↳(+.f64 (exp.f64 a) (exp.f64 b))overflow71
↳(exp.f64 a)overflow2
↳(exp.f64 b)overflow69
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))u/u10
↳(exp.f64 a)underflow83
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow1
↳(exp.f64 a)underflow83
↳(exp.f64 b)underflow34
Confusion
Predicted +Predicted -
+30
-0253
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-00253
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
26.0ms512×0valid
Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-exp: 8.0ms (58% of total)
ival-div: 3.0ms (21.7% of total)
ival-add: 2.0ms (14.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify3.0ms (0%)

Memory
3.9MiB live, 3.9MiB 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×exp-lowering-exp.f32
4×+-lowering-+.f64
4×+-lowering-+.f32
4×exp-lowering-exp.f64
2×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
1719
0719
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
a
(+ (exp a) (exp b))
(exp b)
b
Outputs
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp a)
(exp.f64 a)
a
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp b)
(exp.f64 b)
b

localize24.0ms (0.3%)

Memory
0.8MiB live, 38.7MiB 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))
✓accuracy98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
17.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 5.0ms (46.1% of total)
ival-exp: 4.0ms (36.9% of total)
ival-div: 2.0ms (18.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-31.5MiB live, 6.7MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (exp a)>
#<alt (+ (exp a) (exp b))>
#<alt (exp 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
2.0ms
a
@-inf
(/ (exp a) (+ (exp a) (exp b)))
1.0ms
a
@0
(/ (exp a) (+ (exp a) (exp b)))
1.0ms
b
@inf
(/ (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)))

rewrite337.0ms (4.1%)

Memory
23.8MiB live, 407.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 200×/-lowering-/.f32
5 200×/-lowering-/.f64
4 032×accelerator-lowering-fma.f32
4 032×accelerator-lowering-fma.f64
3 280×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
12817
219917
3192817
0863117
Stop Event
1×iter limit
1×node limit
Counts
4 → 314
Calls
Call 1
Inputs
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(exp 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) (neg.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 a) (+.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 (neg.f64 (/.f64 (exp.f64 a) (+.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 (neg.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (exp.f64 a) (+.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 a a)) (-.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 #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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
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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 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(*.f64 #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 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(*.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 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 a a)) (-.f64 (exp.f64 (+.f64 b b)) (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 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (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 (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (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 a a)) (-.f64 (exp.f64 (+.f64 b b)) (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)))))
(*.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))))
(exp.f64 b)
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))

simplify509.0ms (6.2%)

Memory
10.2MiB live, 713.2MiB allocated
Algorithm
1×egg-herbie
Rules
18 438×accelerator-lowering-fma.f32
18 438×accelerator-lowering-fma.f64
4 430×*-lowering-*.f32
4 430×*-lowering-*.f64
2 966×+-lowering-+.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)

eval56.0ms (0.7%)

Memory
-5.1MiB live, 96.9MiB allocated
Compiler

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

prune48.0ms (0.6%)

Memory
-9.1MiB live, 149.7MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4085413
Fresh000
Picked101
Done000
Total4095414
Accuracy
99.4%
Counts
414 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.9%
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
▶70.0%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
▶71.1%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶77.2%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶98.9%
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
Compiler

Compiled 102 to 72 computations (29.4% saved)

simplify186.0ms (2.3%)

Memory
29.0MiB live, 144.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (exp.f64 a) (exp.f64 b))
✓cost-diff0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓cost-diff192
(fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a)
✓cost-diff18496
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
✓cost-diff0
(+.f64 #s(literal 1 binary64) b)
✓cost-diff0
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
✓cost-diff0
(exp.f64 a)
✓cost-diff6080
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓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
(+.f64 #s(literal 1 binary64) a)
✓cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
Rules
1 936×accelerator-lowering-fma.f32
1 936×accelerator-lowering-fma.f64
986×div-sub
928×*-lowering-*.f32
928×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021116
137114
255112
360111
470111
585111
6132111
7197111
8284111
9461111
10699111
111029111
121760111
132236111
143084111
154271111
164593111
174604111
184612111
194619111
204664111
214683111
04683111
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (exp a) (+ (+ 1 a) (exp b)))
(exp a)
a
(+ (+ 1 a) (exp b))
(+ 1 a)
1
(exp b)
b
(/ 1 (+ 1 (exp b)))
1
(+ 1 (exp b))
(exp b)
b
(/ (exp a) (+ (exp a) 1))
(exp a)
a
(+ (exp a) 1)
1
(/ (exp a) (+ (exp a) (+ 1 b)))
(exp a)
a
(+ (exp a) (+ 1 b))
(+ 1 b)
1
b
(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
(+ (* (log (+ (exp a) (exp b))) -1) a)
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(exp a)
a
(exp b)
b
-1
Outputs
(/ (exp a) (+ (+ 1 a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(exp a)
(exp.f64 a)
a
(+ (+ 1 a) (exp b))
(+.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
1
#s(literal 1 binary64)
(exp b)
(exp.f64 b)
b
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
1
#s(literal 1 binary64)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp b)
(exp.f64 b)
b
(/ (exp a) (+ (exp a) 1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(exp a)
(exp.f64 a)
a
(+ (exp a) 1)
(+.f64 (exp.f64 a) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (exp a) (+ (exp a) (+ 1 b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(exp a)
(exp.f64 a)
a
(+ (exp a) (+ 1 b))
(+.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
1
#s(literal 1 binary64)
b
(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(+ (* (log (+ (exp a) (exp b))) -1) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp a)
(exp.f64 a)
a
(exp b)
(exp.f64 b)
b
-1
#s(literal -1 binary64)

localize202.0ms (2.4%)

Memory
-15.8MiB live, 250.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a)
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy66.1%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) b)
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
✓accuracy99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓accuracy99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))
✓accuracy100.0%
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
Samples
39.0ms41×4exit
29.0ms36×2valid
24.0ms51×1valid
24.0ms25×5exit
23.0ms103×0valid
Compiler

Compiled 116 to 23 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-log: 33.0ms (30.3% of total)
ival-add: 22.0ms (20.2% of total)
adjust: 20.0ms (18.3% of total)
ival-exp: 18.0ms (16.5% of total)
ival-div: 11.0ms (10.1% of total)
ival-mult: 4.0ms (3.7% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series146.0ms (1.8%)

Memory
18.6MiB live, 251.9MiB allocated
Counts
16 → 288
Calls
Call 1
Inputs
#<alt (/ (exp a) (+ (+ 1 a) (exp b)))>
#<alt (exp a)>
#<alt (+ (+ 1 a) (exp b))>
#<alt (+ 1 a)>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (exp b)>
#<alt (/ (exp a) (+ (exp a) 1))>
#<alt (+ (exp a) 1)>
#<alt (/ (exp a) (+ (exp a) (+ 1 b)))>
#<alt (+ (exp a) (+ 1 b))>
#<alt (+ 1 b)>
#<alt (exp (+ (* (log (+ (exp a) (exp b))) -1) a))>
#<alt (+ (* (log (+ (exp a) (exp b))) -1) a)>
#<alt (log (+ (exp a) (exp b)))>
#<alt (+ (exp a) (exp 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))) (/ 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)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ (exp a) a)>
#<alt (/ (+ (exp a) (* -1 (/ (* (exp a) (+ 1 (exp b))) a))) a)>
#<alt (/ (- (+ (exp a) (/ (* (exp a) (pow (+ 1 (exp b)) 2)) (pow a 2))) (/ (* (exp a) (+ 1 (exp b))) a)) a)>
#<alt (/ (- (+ (exp a) (* -1 (/ (* (exp a) (pow (+ 1 (exp b)) 3)) (pow a 3)))) (+ (* -1 (/ (* (exp a) (pow (+ 1 (exp b)) 2)) (pow a 2))) (/ (* (exp a) (+ 1 (exp b))) a))) a)>
#<alt (/ (exp a) a)>
#<alt (* -1 (/ (+ (* -1 (exp a)) (/ (* (exp a) (+ 1 (exp b))) a)) a))>
#<alt (* -1 (/ (+ (* -1 (exp a)) (* -1 (/ (- (/ (* (exp a) (pow (+ 1 (exp b)) 2)) a) (* (exp a) (+ 1 (exp b)))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (exp a)) (* -1 (/ (- (* -1 (/ (- (/ (* (exp a) (pow (+ 1 (exp b)) 3)) a) (* (exp a) (pow (+ 1 (exp b)) 2))) a)) (* (exp a) (+ 1 (exp b)))) a))) a))>
#<alt (/ (exp a) (+ 2 a))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 2 a) 2))) (/ (exp a) (+ 2 a)))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 2 a) 3))) (* 1/2 (/ (exp a) (pow (+ 2 a) 2)))))) (/ (exp a) (pow (+ 2 a) 2)))) (/ (exp a) (+ 2 a)))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 2 a) 3))) (* 1/2 (/ (exp a) (pow (+ 2 a) 2)))) (+ 2 a))) (+ (* -1/2 (/ (exp a) (pow (+ 2 a) 3))) (* 1/6 (/ (exp a) (pow (+ 2 a) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 2 a) 3))) (* 1/2 (/ (exp a) (pow (+ 2 a) 2)))))) (/ (exp a) (pow (+ 2 a) 2)))) (/ (exp a) (+ 2 a)))>
#<alt (/ (exp a) (+ 1 (+ a (exp b))))>
#<alt (/ (exp a) (+ 1 (+ a (exp b))))>
#<alt (/ (exp a) (+ 1 (+ a (exp b))))>
#<alt (/ (exp a) (+ 1 (+ a (exp b))))>
#<alt (/ (exp a) (+ 1 (+ a (exp b))))>
#<alt (/ (exp a) (+ 1 (+ a (exp b))))>
#<alt (/ (exp a) (+ 1 (+ a (exp b))))>
#<alt (/ (exp a) (+ 1 (+ 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 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt a>
#<alt (* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))>
#<alt (* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))>
#<alt (* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))>
#<alt (+ 2 a)>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt 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 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (/ 1 (+ 2 b))>
#<alt (+ (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))) (/ 1 (+ 2 b)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt (/ (exp a) (+ 1 (+ b (exp a))))>
#<alt (/ (exp a) (+ 1 (+ b (exp a))))>
#<alt (/ (exp a) (+ 1 (+ b (exp a))))>
#<alt (/ (exp a) (+ 1 (+ b (exp a))))>
#<alt (/ (exp a) (+ 1 (+ b (exp a))))>
#<alt (/ (exp a) (+ 1 (+ b (exp a))))>
#<alt (/ (exp a) (+ 1 (+ b (exp a))))>
#<alt (/ (exp a) (+ 1 (+ b (exp a))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (/ (* b (exp a)) (pow (+ 1 (exp a)) 3)) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) b)>
#<alt (/ (+ (exp a) (* -1 (/ (* (exp a) (+ 1 (exp a))) b))) b)>
#<alt (/ (- (+ (exp a) (/ (* (exp a) (pow (+ 1 (exp a)) 2)) (pow b 2))) (/ (* (exp a) (+ 1 (exp a))) b)) b)>
#<alt (/ (- (+ (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)>
#<alt (/ (exp a) b)>
#<alt (* -1 (/ (+ (* -1 (exp a)) (/ (* (exp a) (+ 1 (exp a))) b)) b))>
#<alt (* -1 (/ (+ (* -1 (exp a)) (* -1 (/ (- (/ (* (exp a) (pow (+ 1 (exp a)) 2)) b) (* (exp a) (+ 1 (exp a)))) b))) b))>
#<alt (* -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))>
#<alt (+ 2 b)>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt b>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 b)>
#<alt (+ 1 b)>
#<alt b>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt b>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 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)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (+ a (* -1 (log (+ 1 (exp a))))))>
#<alt (+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (exp a))))))) (+ 1 (exp a)))))>
#<alt (+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))))))>
#<alt (+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (- (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (+ 1 (exp a))))) (* 1/6 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (+ (* -1 (log (+ 1 (exp b)))) (* a (- 1 (/ 1 (+ 1 (exp b))))))>
#<alt (+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))>
#<alt (+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* -1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))))))) (/ 1 (+ 1 (exp b))))))>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))>
#<alt (* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))>
#<alt (* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))>
#<alt a>
#<alt (* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))>
#<alt (* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))>
#<alt (* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))>
#<alt (+ a (* -1 (log (+ 1 (exp a)))))>
#<alt (+ a (+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a))))))>
#<alt (+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* -1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (log (+ 1 (exp b)))>
#<alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))>
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))>
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
Calls

72 calls:

TimeVariablePointExpression
45.0ms
b
@inf
(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
38.0ms
a
@-inf
(log (+ (exp a) (exp b)))
23.0ms
b
@-inf
(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
12.0ms
a
@inf
(log (+ (exp a) (exp b)))
5.0ms
a
@-inf
(+ (* (log (+ (exp a) (exp b))) -1) a)

rewrite304.0ms (3.7%)

Memory
-11.7MiB live, 588.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 608×accelerator-lowering-fma.f32
4 608×accelerator-lowering-fma.f64
4 306×/-lowering-/.f32
4 306×/-lowering-/.f64
3 386×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02193
114491
2123389
0828589
Stop Event
1×iter limit
1×node limit
Counts
16 → 561
Calls
Call 1
Inputs
(/ (exp a) (+ (+ 1 a) (exp b)))
(exp a)
(+ (+ 1 a) (exp b))
(+ 1 a)
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(exp b)
(/ (exp a) (+ (exp a) 1))
(+ (exp a) 1)
(/ (exp a) (+ (exp a) (+ 1 b)))
(+ (exp a) (+ 1 b))
(+ 1 b)
(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
(+ (* (log (+ (exp a) (exp b))) -1) a)
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))) (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(neg.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b))) (exp.f64 (neg.f64 a)))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b))) (exp.f64 (neg.f64 a))))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b))))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (exp.f64 (neg.f64 a))) #s(literal -1 binary64))
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))))
(*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b))) (exp.f64 (neg.f64 a)))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))) (exp.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (+.f64 a #s(literal 1 binary64))) (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))) (exp.f64 (+.f64 b b)))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 a (exp.f64 b))))))
(*.f64 (/.f64 (exp.f64 a) (fma.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (+.f64 a #s(literal 1 binary64))) (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))))
(*.f64 (/.f64 (exp.f64 a) (fma.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (+.f64 a #s(literal 1 binary64))) (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))) (exp.f64 (+.f64 b b)))) (+.f64 #s(literal 1 binary64) (-.f64 a (exp.f64 b))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 a (exp.f64 b))))))
(*.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)))
(exp.f64 a)
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 a)))
(neg.f64 (neg.f64 (exp.f64 a)))
(pow.f64 (exp.f64 a) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) a)
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(+.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 a (exp.f64 b)))))
(+.f64 (+.f64 a #s(literal 1 binary64)) (exp.f64 b))
(+.f64 (exp.f64 b) (+.f64 a #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)
(+.f64 (+.f64 a (exp.f64 b)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 a (exp.f64 b)))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (-.f64 a (exp.f64 b))))))
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(*.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 a a)) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(*.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))

simplify415.0ms (5%)

Memory
22.7MiB live, 681.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 638×accelerator-lowering-fma.f32
9 638×accelerator-lowering-fma.f64
5 716×*-lowering-*.f32
5 716×*-lowering-*.f64
4 522×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04773407
113913263
241043158
084452978
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
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))) (/ 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)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) a)
(/ (+ (exp a) (* -1 (/ (* (exp a) (+ 1 (exp b))) a))) a)
(/ (- (+ (exp a) (/ (* (exp a) (pow (+ 1 (exp b)) 2)) (pow a 2))) (/ (* (exp a) (+ 1 (exp b))) a)) a)
(/ (- (+ (exp a) (* -1 (/ (* (exp a) (pow (+ 1 (exp b)) 3)) (pow a 3)))) (+ (* -1 (/ (* (exp a) (pow (+ 1 (exp b)) 2)) (pow a 2))) (/ (* (exp a) (+ 1 (exp b))) a))) a)
(/ (exp a) a)
(* -1 (/ (+ (* -1 (exp a)) (/ (* (exp a) (+ 1 (exp b))) a)) a))
(* -1 (/ (+ (* -1 (exp a)) (* -1 (/ (- (/ (* (exp a) (pow (+ 1 (exp b)) 2)) a) (* (exp a) (+ 1 (exp b)))) a))) a))
(* -1 (/ (+ (* -1 (exp a)) (* -1 (/ (- (* -1 (/ (- (/ (* (exp a) (pow (+ 1 (exp b)) 3)) a) (* (exp a) (pow (+ 1 (exp b)) 2))) a)) (* (exp a) (+ 1 (exp b)))) a))) a))
(/ (exp a) (+ 2 a))
(+ (* -1 (/ (* b (exp a)) (pow (+ 2 a) 2))) (/ (exp a) (+ 2 a)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 2 a) 3))) (* 1/2 (/ (exp a) (pow (+ 2 a) 2)))))) (/ (exp a) (pow (+ 2 a) 2)))) (/ (exp a) (+ 2 a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 2 a) 3))) (* 1/2 (/ (exp a) (pow (+ 2 a) 2)))) (+ 2 a))) (+ (* -1/2 (/ (exp a) (pow (+ 2 a) 3))) (* 1/6 (/ (exp a) (pow (+ 2 a) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 2 a) 3))) (* 1/2 (/ (exp a) (pow (+ 2 a) 2)))))) (/ (exp a) (pow (+ 2 a) 2)))) (/ (exp a) (+ 2 a)))
(/ (exp a) (+ 1 (+ a (exp b))))
(/ (exp a) (+ 1 (+ a (exp b))))
(/ (exp a) (+ 1 (+ a (exp b))))
(/ (exp a) (+ 1 (+ a (exp b))))
(/ (exp a) (+ 1 (+ a (exp b))))
(/ (exp a) (+ 1 (+ a (exp b))))
(/ (exp a) (+ 1 (+ a (exp b))))
(/ (exp a) (+ 1 (+ 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 (+ a (exp b)))
(+ 1 (+ a (exp b)))
a
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
a
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))
(+ 2 a)
(+ 2 (+ a b))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
1
(+ 1 a)
(+ 1 a)
(+ 1 a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
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))
(+ 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)))
(+ 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)))
1
(+ 1 b)
(+ 1 b)
(+ 1 b)
b
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
b
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))
(+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 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)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (+ a (* -1 (log (+ 1 (exp a))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (exp a))))))) (+ 1 (exp a)))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (- (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (+ 1 (exp a))))) (* 1/6 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(* -1 (log (+ 1 (exp b))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- 1 (/ 1 (+ 1 (exp b))))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* -1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))))))) (/ 1 (+ 1 (exp b))))))
a
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
a
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(+ a (* -1 (log (+ 1 (exp a)))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a))))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* -1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))))) (/ 1 (+ 1 (exp a)))))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
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))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 a (neg.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (/ 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 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.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)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (/ 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 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/6 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 4 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 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ (exp a) a)
(/.f64 (exp.f64 a) a)
(/ (+ (exp a) (* -1 (/ (* (exp a) (+ 1 (exp b))) a))) a)
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a))) a)
(/ (- (+ (exp a) (/ (* (exp a) (pow (+ 1 (exp b)) 2)) (pow a 2))) (/ (* (exp a) (+ 1 (exp b))) a)) a)
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 a a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)))) a)
(/ (- (+ (exp a) (* -1 (/ (* (exp a) (pow (+ 1 (exp b)) 3)) (pow a 3)))) (+ (* -1 (/ (* (exp a) (pow (+ 1 (exp b)) 2)) (pow a 2))) (/ (* (exp a) (+ 1 (exp b))) a))) a)
(/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #s(literal 3 binary64))) (/.f64 (*.f64 (exp.f64 a) (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) a) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a)) a)
(/ (exp a) a)
(/.f64 (exp.f64 a) a)
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1
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1/2
#s(literal 1/2 binary64)
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2
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b
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b
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1
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b
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a
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a
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(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 a (fma.f64 (/.f64 (+.f64 a (neg.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 a #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log1p.f64 (exp.f64 b)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (fma.f64 (*.f64 b #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) a))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(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 #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)) (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))

eval118.0ms (1.4%)

Memory
33.8MiB live, 210.5MiB allocated
Compiler

Compiled 16 322 to 2 333 computations (85.7% saved)

prune134.0ms (1.6%)

Memory
-22.2MiB live, 239.9MiB allocated
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New97013983
Fresh000
Picked325
Done000
Total97315988
Accuracy
100.0%
Counts
988 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.9%
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
38.5%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
39.0%
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
39.0%
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
39.2%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
73.0%
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)))
72.1%
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
▶77.7%
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
✓71.1%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
55.4%
(/.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)))
▶50.9%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
▶38.5%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓77.2%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶52.8%
(exp.f64 a)
▶39.3%
#s(literal 1/2 binary64)
Compiler

Compiled 305 to 212 computations (30.5% saved)

simplify6.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 a)
✓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
(exp.f64 b)
✓cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))
✓cost-diff0
(+.f64 #s(literal 1 binary64) a)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
Rules
64×accelerator-lowering-fma.f32
64×accelerator-lowering-fma.f64
52×+-lowering-+.f64
52×+-lowering-+.f32
42×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01768
13468
25468
37968
48068
08063
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (+ 1 a) (+ (+ 1 a) (exp b)))
(+ 1 a)
1
a
(+ (+ 1 a) (exp b))
(exp b)
b
1/2
(/ 1 (+ b 2))
1
(+ b 2)
b
2
(/ 1 (+ (* b (+ (* b 1/2) 1)) 2))
1
(+ (* b (+ (* b 1/2) 1)) 2)
b
(+ (* b 1/2) 1)
1/2
2
(exp a)
a
Outputs
(/ (+ 1 a) (+ (+ 1 a) (exp b)))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(+ (+ 1 a) (exp b))
(+.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(exp b)
(exp.f64 b)
b
1/2
#s(literal 1/2 binary64)
(/ 1 (+ b 2))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ b 2)
(+.f64 b #s(literal 2 binary64))
b
2
#s(literal 2 binary64)
(/ 1 (+ (* b (+ (* b 1/2) 1)) 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)))
1
#s(literal 1 binary64)
(+ (* b (+ (* b 1/2) 1)) 2)
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(+ (* b 1/2) 1)
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(exp a)
(exp.f64 a)
a

localize51.0ms (0.6%)

Memory
-2.4MiB live, 113.8MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 a)
✓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))
✓accuracy99.0%
(/.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 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓accuracy100.0%
(+.f64 b #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) a)
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
Samples
32.0ms256×0valid
Compiler

Compiled 65 to 19 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-add: 6.0ms (31.8% of total)
ival-div: 5.0ms (26.5% of total)
ival-exp: 4.0ms (21.2% of total)
ival-mult: 3.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
10 → 144
Calls
Call 1
Inputs
#<alt (/ (+ 1 a) (+ (+ 1 a) (exp b)))>
#<alt (+ 1 a)>
#<alt (+ (+ 1 a) (exp b))>
#<alt (exp b)>
#<alt (/ 1 (+ b 2))>
#<alt (+ b 2)>
#<alt (/ 1 (+ (* b (+ (* b 1/2) 1)) 2))>
#<alt (+ (* b (+ (* b 1/2) 1)) 2)>
#<alt (+ (* b 1/2) 1)>
#<alt (exp a)>
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 (pow (+ 1 (exp b)) 3)) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (/ 1 (pow (+ 1 (exp b)) 4)))) (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (exp b) a)))>
#<alt (- (+ 1 (/ (* (exp b) (+ 1 (exp b))) (pow a 2))) (/ (exp b) a))>
#<alt (- (+ 1 (* -1 (/ (* (exp b) (pow (+ 1 (exp b)) 2)) (pow a 3)))) (+ (* -1 (/ (* (exp b) (+ 1 (exp b))) (pow a 2))) (/ (exp b) a)))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ (+ 1 (exp b)) a)) (/ 1 a)))>
#<alt (+ 1 (* -1 (/ (- (/ (* (+ 1 (exp b)) (+ 1 (* -1 (+ 1 (exp b))))) a) (+ 1 (* -1 (+ 1 (exp b))))) a)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 (exp b)) 2) (+ 1 (* -1 (+ 1 (exp b))))) a) (* (+ 1 (exp b)) (+ 1 (* -1 (+ 1 (exp b)))))) a)) (+ 1 (* -1 (+ 1 (exp b))))) a)))>
#<alt (/ (+ 1 a) (+ 2 a))>
#<alt (+ (* -1 (* b (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))))) (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))) (+ 2 a))) (+ (* -1/2 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/6 (/ (+ 1 a) (pow (+ 2 a) 2))))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))))) (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))>
#<alt (/ (+ 1 a) (+ 1 (+ a (exp b))))>
#<alt (/ (+ 1 a) (+ 1 (+ a (exp b))))>
#<alt (/ (+ 1 a) (+ 1 (+ a (exp b))))>
#<alt (/ (+ 1 a) (+ 1 (+ a (exp b))))>
#<alt (/ (+ 1 a) (+ 1 (+ a (exp b))))>
#<alt (/ (+ 1 a) (+ 1 (+ a (exp b))))>
#<alt (/ (+ 1 a) (+ 1 (+ a (exp b))))>
#<alt (/ (+ 1 a) (+ 1 (+ a (exp b))))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt a>
#<alt (* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))>
#<alt (* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))>
#<alt (* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))>
#<alt (+ 2 a)>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt 1>
#<alt (+ 1 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 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>
#<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)>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
b
@0
(/ (+ 1 a) (+ (+ 1 a) (exp b)))
1.0ms
b
@inf
(/ (+ 1 a) (+ (+ 1 a) (exp b)))
0.0ms
b
@-inf
(/ (+ 1 a) (+ (+ 1 a) (exp b)))
0.0ms
a
@inf
(/ (+ 1 a) (+ (+ 1 a) (exp b)))
0.0ms
a
@-inf
(/ (+ 1 a) (+ (+ 1 a) (exp b)))

rewrite313.0ms (3.8%)

Memory
-6.3MiB live, 461.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 858×*-lowering-*.f32
4 858×*-lowering-*.f64
4 686×/-lowering-/.f32
4 686×/-lowering-/.f64
3 704×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01756
111456
292056
0830551
Stop Event
1×iter limit
1×node limit
Counts
10 → 488
Calls
Call 1
Inputs
(/ (+ 1 a) (+ (+ 1 a) (exp b)))
(+ 1 a)
(+ (+ 1 a) (exp b))
(exp b)
(/ 1 (+ b 2))
(+ b 2)
(/ 1 (+ (* b (+ (* b 1/2) 1)) 2))
(+ (* b (+ (* b 1/2) 1)) 2)
(+ (* b 1/2) 1)
(exp a)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))) a))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 b) (+.f64 (exp.f64 b) (-.f64 #s(literal -1 binary64) a)))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 b) (+.f64 (exp.f64 b) (-.f64 #s(literal -1 binary64) a)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (+.f64 b b)))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (+.f64 b b)))) (-.f64 a (exp.f64 b))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (+.f64 b b)))) a) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (+.f64 b b)))) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (+.f64 b b)))) (+.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (+.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) a) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))) (/.f64 (/.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))) (/.f64 (+.f64 #s(literal 1 binary64) a) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (-.f64 #s(literal 1 binary64) a))) (/.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (-.f64 #s(literal 1 binary64) a))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))) a))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))) a (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 b) (+.f64 (exp.f64 b) (-.f64 #s(literal -1 binary64) a)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 b) (+.f64 (exp.f64 b) (-.f64 #s(literal -1 binary64) a))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (+.f64 b b)))) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (+.f64 b b)))) (-.f64 a (exp.f64 b))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (+.f64 b b)))) a (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (+.f64 b b)))) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (+.f64 b b)))) (+.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) a) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (+.f64 #s(literal 1 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (+.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (fma.f64 a (+.f64 a #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 a (*.f64 a a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (-.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))) (fma.f64 a (*.f64 a a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))) (-.f64 #s(literal 1 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (+.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (-.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 (-.f64 #s(literal -1 binary64) a) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b))))
(/.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64)) (*.f64 (fma.f64 a (+.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (fma.f64 a (+.f64 a #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64)) (*.f64 (fma.f64 a a (-.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 a (+.f64 a #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (-.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (-.f64 #s(literal 1 binary64) a)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b))) (fma.f64 a (+.f64 a #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b))) (fma.f64 a a (-.f64 #s(literal 1 binary64) a))))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (fma.f64 a (+.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b))) (-.f64 #s(literal 1 binary64) a)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (-.f64 #s(literal 1 binary64) a))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) a)))
(/.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))) (fma.f64 a (+.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))) (-.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (fma.f64 a (+.f64 a #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (fma.f64 a a (-.f64 #s(literal 1 binary64) a))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (-.f64 #s(literal 1 binary64) a)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (neg.f64 (fma.f64 a (+.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (neg.f64 (-.f64 #s(literal 1 binary64) a))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) (+.f64 a #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (+.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 a (+.f64 a #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a))) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 a (+.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 a a (-.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 a (+.f64 a #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a))) #s(literal -1 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 a #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b))) (neg.f64 (fma.f64 a (+.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (+.f64 a (exp.f64 b))) (neg.f64 (-.f64 #s(literal 1 binary64) a))))
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(+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 b #s(literal -1/2 binary64)))) (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) #s(literal 1/512 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 1/64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/16 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/4 binary64)))) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/16 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 b b)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (*.f64 b #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(exp.f64 a)
(pow.f64 (exp.f64 a) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) a)

simplify404.0ms (4.9%)

Memory
32.2MiB live, 543.7MiB allocated
Algorithm
1×egg-herbie
Rules
13 798×accelerator-lowering-fma.f32
13 798×accelerator-lowering-fma.f64
5 216×*-lowering-*.f32
5 216×*-lowering-*.f64
2 820×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02541294
17511262
220281228
081451157
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
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 (pow (+ 1 (exp b)) 3)) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (/ 1 (pow (+ 1 (exp b)) 4)))) (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
1
(+ 1 (* -1 (/ (exp b) a)))
(- (+ 1 (/ (* (exp b) (+ 1 (exp b))) (pow a 2))) (/ (exp b) a))
(- (+ 1 (* -1 (/ (* (exp b) (pow (+ 1 (exp b)) 2)) (pow a 3)))) (+ (* -1 (/ (* (exp b) (+ 1 (exp b))) (pow a 2))) (/ (exp b) a)))
1
(+ 1 (+ (* -1 (/ (+ 1 (exp b)) a)) (/ 1 a)))
(+ 1 (* -1 (/ (- (/ (* (+ 1 (exp b)) (+ 1 (* -1 (+ 1 (exp b))))) a) (+ 1 (* -1 (+ 1 (exp b))))) a)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 (exp b)) 2) (+ 1 (* -1 (+ 1 (exp b))))) a) (* (+ 1 (exp b)) (+ 1 (* -1 (+ 1 (exp b)))))) a)) (+ 1 (* -1 (+ 1 (exp b))))) a)))
(/ (+ 1 a) (+ 2 a))
(+ (* -1 (* b (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))))) (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))) (+ 2 a))) (+ (* -1/2 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/6 (/ (+ 1 a) (pow (+ 2 a) 2))))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))))) (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))
(/ (+ 1 a) (+ 1 (+ a (exp b))))
(/ (+ 1 a) (+ 1 (+ a (exp b))))
(/ (+ 1 a) (+ 1 (+ a (exp b))))
(/ (+ 1 a) (+ 1 (+ a (exp b))))
(/ (+ 1 a) (+ 1 (+ a (exp b))))
(/ (+ 1 a) (+ 1 (+ a (exp b))))
(/ (+ 1 a) (+ 1 (+ a (exp b))))
(/ (+ 1 a) (+ 1 (+ a (exp b))))
1
(+ 1 a)
(+ 1 a)
(+ 1 a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
a
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
a
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))
(+ 2 a)
(+ 2 (+ a b))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
1
(+ 1 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 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
(+ 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)
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))))
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 (neg.f64 a) (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 (pow (+ 1 (exp b)) 3)) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 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 (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 (neg.f64 a) (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 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (/ 1 (pow (+ 1 (exp b)) 4)))) (/ 1 (pow (+ 1 (exp b)) 3))) (/ 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 a (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.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))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (exp b) a)))
(-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 b) a))
(- (+ 1 (/ (* (exp b) (+ 1 (exp b))) (pow a 2))) (/ (exp b) a))
(fma.f64 (/.f64 (exp.f64 b) a) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #s(literal -1 binary64)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (* (exp b) (pow (+ 1 (exp b)) 2)) (pow a 3)))) (+ (* -1 (/ (* (exp b) (+ 1 (exp b))) (pow a 2))) (/ (exp b) a)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 (neg.f64 (/.f64 (exp.f64 b) a)) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 a a)) (-.f64 (/.f64 (exp.f64 b) a) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ (+ 1 (exp b)) a)) (/ 1 a)))
(-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 b) a))
(+ 1 (* -1 (/ (- (/ (* (+ 1 (exp b)) (+ 1 (* -1 (+ 1 (exp b))))) a) (+ 1 (* -1 (+ 1 (exp b))))) a)))
(fma.f64 (/.f64 (exp.f64 b) a) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 (exp b)) 2) (+ 1 (* -1 (+ 1 (exp b))))) a) (* (+ 1 (exp b)) (+ 1 (* -1 (+ 1 (exp b)))))) a)) (+ 1 (* -1 (+ 1 (exp b))))) a)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 (neg.f64 (/.f64 (exp.f64 b) a)) #s(literal -1 binary64)) #s(literal -1 binary64))) a) (neg.f64 (exp.f64 b))) a))
(/ (+ 1 a) (+ 2 a))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 a #s(literal 2 binary64)))
(+ (* -1 (* b (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 2 binary64))) (-.f64 (/.f64 a (+.f64 a #s(literal 2 binary64))) (fma.f64 b (/.f64 a (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64)))) (/.f64 b (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64)))))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))))) (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 2 binary64))) (fma.f64 b (-.f64 (fma.f64 b (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64)))) (/.f64 a (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64))))) (+.f64 a #s(literal 2 binary64))) (/.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64))))) (/.f64 a (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64))))) (/.f64 a (+.f64 a #s(literal 2 binary64)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))) (+ 2 a))) (+ (* -1/2 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/6 (/ (+ 1 a) (pow (+ 2 a) 2))))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))))) (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 2 binary64))) (fma.f64 b (fma.f64 b (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64)))) (/.f64 a (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64))))) (+.f64 a #s(literal 2 binary64))) (/.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64))))) (+.f64 a #s(literal 2 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64)))) (/.f64 a (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64))))) (/.f64 #s(literal -1/2 binary64) (+.f64 a #s(literal 2 binary64))) (/.f64 (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64)))))) (neg.f64 b) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64)))) (/.f64 a (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64))))) (+.f64 a #s(literal 2 binary64))) (/.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64)))))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64)))) (/.f64 a (*.f64 (+.f64 a #s(literal 2 binary64)) (+.f64 a #s(literal 2 binary64)))))) (/.f64 a (+.f64 a #s(literal 2 binary64)))))
(/ (+ 1 a) (+ 1 (+ a (exp b))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a))
(/ (+ 1 a) (+ 1 (+ a (exp b))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a))
(/ (+ 1 a) (+ 1 (+ a (exp b))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a))
(/ (+ 1 a) (+ 1 (+ a (exp b))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a))
(/ (+ 1 a) (+ 1 (+ a (exp b))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a))
(/ (+ 1 a) (+ 1 (+ a (exp b))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a))
(/ (+ 1 a) (+ 1 (+ a (exp b))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a))
(/ (+ 1 a) (+ 1 (+ a (exp b))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
a
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
a
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)
a
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
(fma.f64 a (/.f64 (exp.f64 b) a) (+.f64 #s(literal 1 binary64) a))
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
(fma.f64 a (/.f64 (exp.f64 b) a) (+.f64 #s(literal 1 binary64) a))
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
(fma.f64 a (/.f64 (exp.f64 b) a) (+.f64 #s(literal 1 binary64) a))
a
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))
(fma.f64 a (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) a)
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))
(fma.f64 a (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) a)
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))
(fma.f64 a (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) a)
(+ 2 a)
(+.f64 a #s(literal 2 binary64))
(+ 2 (+ a b))
(+.f64 b (+.f64 a #s(literal 2 binary64)))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64)))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64)))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) 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)
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 (- (* 1/8 b) 1/4)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4)))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (- 1 (* 2 (/ 1 b))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) b)) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) b) #s(literal -2 binary64)) b)) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) b) #s(literal -2 binary64)) b) (/.f64 #s(literal -8 binary64) (*.f64 b (*.f64 b b))))) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (* 2 (/ 1 b)) 1) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) b)) b)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b)) b)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) b))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) b)) b) #s(literal -2 binary64)) b)) (neg.f64 b))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
b
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
b
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
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 (- (* 1/16 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b #s(literal -1/32 binary64) #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b)) (*.f64 b b))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b)) (*.f64 b b))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b)) (/.f64 #s(literal -32 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 32 binary64) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -16 binary64) (*.f64 b b))) b)) (*.f64 b 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 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 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)

eval90.0ms (1.1%)

Memory
-15.9MiB live, 185.2MiB allocated
Compiler

Compiled 14 742 to 1 798 computations (87.8% saved)

prune91.0ms (1.1%)

Memory
-13.7MiB live, 222.8MiB allocated
Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New68111692
Fresh268
Picked145
Done022
Total68423707
Accuracy
100.0%
Counts
707 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.9%
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
38.5%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
39.0%
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
39.0%
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
39.2%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
45.2%
(/.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)))
55.9%
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
51.4%
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
▶55.9%
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) 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))))
▶51.4%
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
38.3%
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))) (-.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))))) (*.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (-.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64))))))
✓71.1%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶15.9%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
55.4%
(/.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)))
✓50.9%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
▶15.5%
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))
49.8%
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓38.5%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓77.2%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
3.4%
(/.f64 #s(literal 1 binary64) b)
✓52.8%
(exp.f64 a)
▶22.2%
#s(literal 1 binary64)
✓39.3%
#s(literal 1/2 binary64)
Compiler

Compiled 506 to 322 computations (36.4% saved)

simplify43.0ms (0.5%)

Memory
32.4MiB live, 71.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) a)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓cost-diff192
(+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 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)) b)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))
✓cost-diff0
(*.f64 b b)
✓cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 b b))
✓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 1 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) a)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) 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))))
✓cost-diff192
(+.f64 (+.f64 #s(literal 1 binary64) 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)))
Rules
1 568×accelerator-lowering-fma.f32
1 568×accelerator-lowering-fma.f64
808×+-lowering-+.f64
808×+-lowering-+.f32
676×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026157
168157
2140149
3330149
4582149
5852149
6883149
7883149
0883128
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (+ 1 a) (+ (+ 1 a) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1)))
(+ 1 a)
1
a
(+ (+ 1 a) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1))
(+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1)
b
(+ (* b (+ (* b 1/6) 1/2)) 1)
(+ (* b 1/6) 1/2)
1/6
1/2
1
(/ 2 (* b b))
2
(* b b)
b
(/ 1 (+ (* b (* b 1/2)) b))
1
(+ (* b (* b 1/2)) b)
b
(* b 1/2)
1/2
(/ (+ 1 a) (+ (+ 1 a) (+ (* b (+ (* b 1/2) 1)) 1)))
(+ 1 a)
1
a
(+ (+ 1 a) (+ (* b (+ (* b 1/2) 1)) 1))
(+ (* b (+ (* b 1/2) 1)) 1)
b
(+ (* b 1/2) 1)
1/2
Outputs
(/ (+ 1 a) (+ (+ 1 a) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1)))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.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 2 binary64))))
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(+ (+ 1 a) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1))
(+.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 2 binary64)))
(+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1)
(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))
b
(+ (* b (+ (* b 1/6) 1/2)) 1)
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ (* b 1/6) 1/2)
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(/ 2 (* b b))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
2
#s(literal 2 binary64)
(* b b)
(*.f64 b b)
b
(/ 1 (+ (* b (* b 1/2)) b))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))
1
#s(literal 1 binary64)
(+ (* b (* b 1/2)) b)
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)
b
(* b 1/2)
(*.f64 b #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ (+ 1 a) (+ (+ 1 a) (+ (* b (+ (* b 1/2) 1)) 1)))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 a (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(+ (+ 1 a) (+ (* b (+ (* b 1/2) 1)) 1))
(+.f64 a (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ (* b (+ (* b 1/2) 1)) 1)
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
b
(+ (* b 1/2) 1)
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)

localize81.0ms (1%)

Memory
-28.3MiB live, 167.0MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) a)
✓accuracy100.0%
(+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓accuracy95.3%
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓accuracy100.0%
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)
✓accuracy100.0%
(*.f64 b #s(literal 1/2 binary64))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))
✓accuracy100.0%
(*.f64 b b)
✓accuracy98.8%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
✓accuracy99.9%
(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))
✓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))
✓accuracy98.4%
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) 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))))
Samples
49.0ms256×0valid
Compiler

Compiled 138 to 28 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-add: 11.0ms (33.4% of total)
ival-mult: 10.0ms (30.4% of total)
ival-div: 8.0ms (24.3% of total)
const: 4.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
29.3MiB live, 29.3MiB allocated
Counts
15 → 228
Calls
Call 1
Inputs
#<alt (+ (+ 1 a) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1))>
#<alt (/ (+ 1 a) (+ (+ 1 a) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1)))>
#<alt (+ 1 a)>
#<alt (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1)>
#<alt (/ 2 (* b b))>
#<alt (* b b)>
#<alt (/ 1 (+ (* b (* b 1/2)) b))>
#<alt (+ (* b (* b 1/2)) b)>
#<alt (* b 1/2)>
#<alt (+ (+ 1 a) (+ (* b (+ (* b 1/2) 1)) 1))>
#<alt (/ (+ 1 a) (+ (+ 1 a) (+ (* b (+ (* b 1/2) 1)) 1)))>
#<alt (+ (* b (+ (* b 1/2) 1)) 1)>
#<alt (+ (* b 1/6) 1/2)>
#<alt (+ (* b (+ (* b 1/6) 1/2)) 1)>
#<alt (+ (* b 1/2) 1)>
Outputs
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt a>
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) a))))>
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) a))))>
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)) 1)))>
#<alt (+ 2 a)>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (* 1/6 (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))) (/ a (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 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))) b)) 1/6)))>
#<alt (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (* a (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (+ (* a (- (+ (* a (- (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3)) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (+ (* a (- (+ (* a (- (+ (* a (- (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3)) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 4)))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)))>
#<alt (- (+ 1 (/ (* (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (pow a 2))) (+ (/ 1 a) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) a)))>
#<alt (- (+ 1 (* -1 (/ (* (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)) (pow a 3)))) (+ (* -1 (/ (* (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (pow a 2))) (+ (/ 1 a) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) a))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)) (/ 1 a)))>
#<alt (+ 1 (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) a) (+ 1 (* -1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) a)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)) a) (* (+ 1 (* -1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) a)) (+ 1 (* -1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) a)))>
#<alt (/ (+ 1 a) (+ 2 a))>
#<alt (+ (* -1 (* b (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))))) (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))) (+ 2 a))) (+ (* -1/2 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/6 (/ (+ 1 a) (pow (+ 2 a) 2))))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))))) (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))>
#<alt (* 6 (/ (+ 1 a) (pow b 3)))>
#<alt (/ (+ (* -18 (/ (+ 1 a) b)) (* 6 (+ 1 a))) (pow b 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -54 (+ 1 a)) (* 36 (+ 1 a))) (pow b 2))) (* 6 (+ 1 a))) (* 18 (/ (+ 1 a) b))) (pow b 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -108 (+ 1 a)) (+ (* -3 (+ (* -54 (+ 1 a)) (* 36 (+ 1 a)))) (* 36 (* (+ 1 a) (+ 2 a))))) (pow b 3))) (* 6 (+ 1 a))) (+ (* -54 (/ (+ 1 a) (pow b 2))) (+ (* 18 (/ (+ 1 a) b)) (* 36 (/ (+ 1 a) (pow b 2)))))) (pow b 3))>
#<alt (* 6 (/ (+ 1 a) (pow b 3)))>
#<alt (* -1 (/ (+ (* -6 (+ 1 a)) (* 18 (/ (+ 1 a) b))) (pow b 3)))>
#<alt (* -1 (/ (+ (* -6 (+ 1 a)) (* -1 (/ (- (+ (* -36 (/ (+ 1 a) b)) (* 54 (/ (+ 1 a) b))) (* 18 (+ 1 a))) b))) (pow b 3)))>
#<alt (* -1 (/ (+ (* -6 (+ 1 a)) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (+ 1 a) b)) (+ (* 3 (/ (+ (* -36 (+ 1 a)) (* 54 (+ 1 a))) b)) (* 36 (/ (* (+ 1 a) (+ 2 a)) b)))) (+ (* -36 (+ 1 a)) (* 54 (+ 1 a)))) b)) (* 18 (+ 1 a))) b))) (pow b 3)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* 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)) (/ 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) (/ 1 (pow b 2)))) b)) 1/6)))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (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 (pow b 2)>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* -1/2 b)) b)>
#<alt (/ (+ 1 (* b (- (* 1/4 b) 1/2))) b)>
#<alt (/ (+ 1 (* b (- (* b (+ 1/4 (* -1/8 b))) 1/2))) b)>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 8 (pow b 2))) (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 8 (pow b 2))) (+ (* 4 (/ 1 b)) (* 16 (/ 1 (pow b 3))))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 b))) b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 b))) b))) b))) (pow b 2))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* 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)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 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 (* 1/2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt a>
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))>
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))>
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))>
#<alt (+ 2 a)>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2))))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2))))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))))>
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))))>
#<alt (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))>
#<alt (+ (* a (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))>
#<alt (+ (* a (- (+ (* a (- (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3)) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))>
#<alt (+ (* a (- (+ (* a (- (+ (* a (- (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3)) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 4)))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 1 (* b (+ 1 (* 1/2 b)))) a)))>
#<alt (- (+ 1 (/ (* (+ 1 (* b (+ 1 (* 1/2 b)))) (+ 2 (* b (+ 1 (* 1/2 b))))) (pow a 2))) (+ (/ 1 a) (/ (* b (+ 1 (* 1/2 b))) a)))>
#<alt (- (+ 1 (* -1 (/ (* (+ 1 (* b (+ 1 (* 1/2 b)))) (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)) (pow a 3)))) (+ (* -1 (/ (* (+ 1 (* b (+ 1 (* 1/2 b)))) (+ 2 (* b (+ 1 (* 1/2 b))))) (pow a 2))) (+ (/ 1 a) (/ (* b (+ 1 (* 1/2 b))) a))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) (/ 1 a)))>
#<alt (+ 1 (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (+ 2 (* b (+ 1 (* 1/2 b))))) a) (+ 1 (* -1 (+ 2 (* b (+ 1 (* 1/2 b))))))) a)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)) a) (* (+ 1 (* -1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (+ 2 (* b (+ 1 (* 1/2 b)))))) a)) (+ 1 (* -1 (+ 2 (* b (+ 1 (* 1/2 b))))))) a)))>
#<alt (/ (+ 1 a) (+ 2 a))>
#<alt (+ (* -1 (* b (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))))) (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))) (+ 2 a))) (* -1/2 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a)))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))))) (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))>
#<alt (* 2 (/ (+ 1 a) (pow b 2)))>
#<alt (/ (+ (* -4 (/ (+ 1 a) b)) (* 2 (+ 1 a))) (pow b 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (+ 1 a)) (* 4 (* (+ 1 a) (+ 2 a)))) (pow b 2))) (* 2 (+ 1 a))) (* 4 (/ (+ 1 a) b))) (pow b 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (* (+ 1 a) (+ 2 a))) (* -2 (+ (* -8 (+ 1 a)) (* 4 (* (+ 1 a) (+ 2 a)))))) (pow b 3))) (* 2 (+ 1 a))) (+ (* -8 (/ (+ 1 a) (pow b 2))) (+ (* 4 (/ (* (+ 1 a) (+ 2 a)) (pow b 2))) (* 4 (/ (+ 1 a) b))))) (pow b 2))>
#<alt (* 2 (/ (+ 1 a) (pow b 2)))>
#<alt (/ (+ (* -4 (/ (+ 1 a) b)) (* 2 (+ 1 a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (+ 1 a) b)) (* 4 (/ (* (+ 1 a) (+ 2 a)) b))) (* -4 (+ 1 a))) b)) (* 2 (+ 1 a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (+ 1 a)) (* 4 (* (+ 1 a) (+ 2 a)))) b)) (* 8 (/ (* (+ 1 a) (+ 2 a)) b))) (+ (* -8 (+ 1 a)) (* 4 (* (+ 1 a) (+ 2 a))))) b)) (* -4 (+ 1 a))) b)) (* 2 (+ 1 a))) (pow b 2))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt 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>
#<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>
#<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)))>
Calls

57 calls:

TimeVariablePointExpression
1.0ms
a
@0
(/ (+ 1 a) (+ (+ 1 a) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1)))
1.0ms
a
@0
(/ (+ 1 a) (+ (+ 1 a) (+ (* b (+ (* b 1/2) 1)) 1)))
1.0ms
a
@-inf
(/ (+ 1 a) (+ (+ 1 a) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1)))
1.0ms
a
@0
(+ (+ 1 a) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1))
1.0ms
a
@inf
(/ (+ 1 a) (+ (+ 1 a) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1)))

rewrite414.0ms (5%)

Memory
8.9MiB live, 638.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 158×*-lowering-*.f32
6 158×*-lowering-*.f64
3 958×/-lowering-/.f32
3 958×/-lowering-/.f64
3 830×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026139
1198139
21945139
08548118
Stop Event
1×iter limit
1×node limit
Counts
15 → 724
Calls
Call 1
Inputs
(+ (+ 1 a) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1))
(/ (+ 1 a) (+ (+ 1 a) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1)))
(+ 1 a)
(+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1)
(/ 2 (* b b))
(* b b)
(/ 1 (+ (* b (* b 1/2)) b))
(+ (* b (* b 1/2)) b)
(* b 1/2)
(+ (+ 1 a) (+ (* b (+ (* b 1/2) 1)) 1))
(/ (+ 1 a) (+ (+ 1 a) (+ (* b (+ (* b 1/2) 1)) 1)))
(+ (* b (+ (* b 1/2) 1)) 1)
(+ (* b 1/6) 1/2)
(+ (* b (+ (* b 1/6) 1/2)) 1)
(+ (* b 1/2) 1)
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)) (+.f64 #s(literal 1 binary64) a)))
(+.f64 a (+.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 1 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) 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)))
(+.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) a)))
(+.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 1 binary64)) (+.f64 #s(literal 1 binary64) a))
(+.f64 (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) a)) #s(literal 1 binary64))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b))
(+.f64 (+.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 1 binary64)) #s(literal 1 binary64)) a)
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (-.f64 (+.f64 #s(literal 1 binary64) 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)))) (/.f64 (*.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 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 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) 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)))))
(fma.f64 #s(literal 1 binary64) a (+.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 1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) a)))
(fma.f64 a #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 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)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) a)))
(fma.f64 b (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) a)))
(fma.f64 (fma.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) (+.f64 #s(literal 1 binary64) a)))
(fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) a)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (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 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b))) (+.f64 #s(literal 1 binary64) a))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a #s(literal 1 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 1 binary64)))
(fma.f64 (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 -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 -1 binary64))) (+.f64 #s(literal 1 binary64) a))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) 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)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.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 1 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 1 binary64)) (+.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a))) (fma.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 1 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 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 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) 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))) (*.f64 (+.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)) (+.f64 #s(literal 1 binary64) a))) (-.f64 (+.f64 #s(literal 1 binary64) 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))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.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 1 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 1 binary64)) (+.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a))) (fma.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 1 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 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 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) 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))) (*.f64 (+.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)) (+.f64 #s(literal 1 binary64) a))) (-.f64 (+.f64 #s(literal 1 binary64) 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)))))))
(/.f64 (fma.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 1 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 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 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)))) (fma.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 1 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 1 binary64)) (+.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a))))
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(fma.f64 b (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
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(fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
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(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.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))))
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
(+.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)))))
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(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))

simplify336.0ms (4.1%)

Memory
-43.3MiB live, 578.3MiB allocated
Algorithm
1×egg-herbie
Rules
7 846×accelerator-lowering-fma.f32
7 846×accelerator-lowering-fma.f64
4 044×*-lowering-*.f32
4 044×*-lowering-*.f64
3 798×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04483412
114513318
249793243
081222854
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
a
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) a))))
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) a))))
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) a))))
a
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)) 1)))
(+ 2 a)
(+ 2 (+ a b))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(* 1/6 (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))) (/ a (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 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))) b)) 1/6)))
(/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (* a (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(+ (* a (- (+ (* a (- (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3)) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(+ (* a (- (+ (* a (- (+ (* a (- (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3)) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 4)))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
1
(+ 1 (* -1 (/ (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)))
(- (+ 1 (/ (* (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (pow a 2))) (+ (/ 1 a) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) a)))
(- (+ 1 (* -1 (/ (* (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)) (pow a 3)))) (+ (* -1 (/ (* (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (pow a 2))) (+ (/ 1 a) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) a))))
1
(+ 1 (+ (* -1 (/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)) (/ 1 a)))
(+ 1 (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) a) (+ 1 (* -1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) a)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)) a) (* (+ 1 (* -1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) a)) (+ 1 (* -1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) a)))
(/ (+ 1 a) (+ 2 a))
(+ (* -1 (* b (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))))) (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))) (+ 2 a))) (+ (* -1/2 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/6 (/ (+ 1 a) (pow (+ 2 a) 2))))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))))) (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))
(* 6 (/ (+ 1 a) (pow b 3)))
(/ (+ (* -18 (/ (+ 1 a) b)) (* 6 (+ 1 a))) (pow b 3))
(/ (- (+ (* -1 (/ (+ (* -54 (+ 1 a)) (* 36 (+ 1 a))) (pow b 2))) (* 6 (+ 1 a))) (* 18 (/ (+ 1 a) b))) (pow b 3))
(/ (- (+ (* -1 (/ (+ (* -108 (+ 1 a)) (+ (* -3 (+ (* -54 (+ 1 a)) (* 36 (+ 1 a)))) (* 36 (* (+ 1 a) (+ 2 a))))) (pow b 3))) (* 6 (+ 1 a))) (+ (* -54 (/ (+ 1 a) (pow b 2))) (+ (* 18 (/ (+ 1 a) b)) (* 36 (/ (+ 1 a) (pow b 2)))))) (pow b 3))
(* 6 (/ (+ 1 a) (pow b 3)))
(* -1 (/ (+ (* -6 (+ 1 a)) (* 18 (/ (+ 1 a) b))) (pow b 3)))
(* -1 (/ (+ (* -6 (+ 1 a)) (* -1 (/ (- (+ (* -36 (/ (+ 1 a) b)) (* 54 (/ (+ 1 a) b))) (* 18 (+ 1 a))) b))) (pow b 3)))
(* -1 (/ (+ (* -6 (+ 1 a)) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (+ 1 a) b)) (+ (* 3 (/ (+ (* -36 (+ 1 a)) (* 54 (+ 1 a))) b)) (* 36 (/ (* (+ 1 a) (+ 2 a)) b)))) (+ (* -36 (+ 1 a)) (* 54 (+ 1 a)))) b)) (* 18 (+ 1 a))) b))) (pow b 3)))
1
(+ 1 a)
(+ 1 a)
(+ 1 a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* 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)) (/ 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) (/ 1 (pow b 2)))) b)) 1/6)))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 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)
(pow b 2)
(pow b 2)
(/ 1 b)
(/ (+ 1 (* -1/2 b)) b)
(/ (+ 1 (* b (- (* 1/4 b) 1/2))) b)
(/ (+ 1 (* b (- (* b (+ 1/4 (* -1/8 b))) 1/2))) b)
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 8 (pow b 2))) (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 8 (pow b 2))) (+ (* 4 (/ 1 b)) (* 16 (/ 1 (pow b 3))))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 b))) b))) (pow b 2))
(/ (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 b))) b))) b))) (pow b 2))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 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)
(* 1/2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
a
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))
a
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))
(+ 2 a)
(+ 2 (+ a b))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2))))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2))))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))))
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))
(+ (* a (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))
(+ (* a (- (+ (* a (- (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3)) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))
(+ (* a (- (+ (* a (- (+ (* a (- (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3)) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 4)))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))
1
(+ 1 (* -1 (/ (+ 1 (* b (+ 1 (* 1/2 b)))) a)))
(- (+ 1 (/ (* (+ 1 (* b (+ 1 (* 1/2 b)))) (+ 2 (* b (+ 1 (* 1/2 b))))) (pow a 2))) (+ (/ 1 a) (/ (* b (+ 1 (* 1/2 b))) a)))
(- (+ 1 (* -1 (/ (* (+ 1 (* b (+ 1 (* 1/2 b)))) (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)) (pow a 3)))) (+ (* -1 (/ (* (+ 1 (* b (+ 1 (* 1/2 b)))) (+ 2 (* b (+ 1 (* 1/2 b))))) (pow a 2))) (+ (/ 1 a) (/ (* b (+ 1 (* 1/2 b))) a))))
1
(+ 1 (+ (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) (/ 1 a)))
(+ 1 (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (+ 2 (* b (+ 1 (* 1/2 b))))) a) (+ 1 (* -1 (+ 2 (* b (+ 1 (* 1/2 b))))))) a)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)) a) (* (+ 1 (* -1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (+ 2 (* b (+ 1 (* 1/2 b)))))) a)) (+ 1 (* -1 (+ 2 (* b (+ 1 (* 1/2 b))))))) a)))
(/ (+ 1 a) (+ 2 a))
(+ (* -1 (* b (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))))) (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))) (+ 2 a))) (* -1/2 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a)))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))) (+ 2 a))) (* 1/2 (/ (+ 1 a) (pow (+ 2 a) 2)))))) (+ (/ 1 (pow (+ 2 a) 2)) (/ a (pow (+ 2 a) 2))))) (+ (/ 1 (+ 2 a)) (/ a (+ 2 a))))
(* 2 (/ (+ 1 a) (pow b 2)))
(/ (+ (* -4 (/ (+ 1 a) b)) (* 2 (+ 1 a))) (pow b 2))
(/ (- (+ (* -1 (/ (+ (* -8 (+ 1 a)) (* 4 (* (+ 1 a) (+ 2 a)))) (pow b 2))) (* 2 (+ 1 a))) (* 4 (/ (+ 1 a) b))) (pow b 2))
(/ (- (+ (* -1 (/ (+ (* -8 (* (+ 1 a) (+ 2 a))) (* -2 (+ (* -8 (+ 1 a)) (* 4 (* (+ 1 a) (+ 2 a)))))) (pow b 3))) (* 2 (+ 1 a))) (+ (* -8 (/ (+ 1 a) (pow b 2))) (+ (* 4 (/ (* (+ 1 a) (+ 2 a)) (pow b 2))) (* 4 (/ (+ 1 a) b))))) (pow b 2))
(* 2 (/ (+ 1 a) (pow b 2)))
(/ (+ (* -4 (/ (+ 1 a) b)) (* 2 (+ 1 a))) (pow b 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (+ 1 a) b)) (* 4 (/ (* (+ 1 a) (+ 2 a)) b))) (* -4 (+ 1 a))) b)) (* 2 (+ 1 a))) (pow b 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (+ 1 a)) (* 4 (* (+ 1 a) (+ 2 a)))) b)) (* 8 (/ (* (+ 1 a) (+ 2 a)) b))) (+ (* -8 (+ 1 a)) (* 4 (* (+ 1 a) (+ 2 a))))) b)) (* -4 (+ 1 a))) b)) (* 2 (+ 1 a))) (pow b 2))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
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
(+ 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
(+ 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)))
Outputs
(+ 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))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) a))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) a))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) a))
a
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) a))))
(fma.f64 a (fma.f64 b (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a) (/.f64 #s(literal 2 binary64) a)) a)
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) a))))
(fma.f64 a (fma.f64 b (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a) (/.f64 #s(literal 2 binary64) a)) a)
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) a))))
(fma.f64 a (fma.f64 b (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a) (/.f64 #s(literal 2 binary64) a)) a)
a
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)) 1)))
(*.f64 (-.f64 #s(literal -1 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)) a)) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)) 1)))
(*.f64 (-.f64 #s(literal -1 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)) a)) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)) 1)))
(*.f64 (-.f64 #s(literal -1 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)) a)) (neg.f64 a))
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (+ a b))
(+.f64 #s(literal 2 binary64) (+.f64 b a))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) a))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) a))
(* 1/6 (pow b 3))
(*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (pow b 3))) (/ a (pow b 3)))))))
(fma.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) (/.f64 a (*.f64 b (*.f64 b b)))))))
(* 1/6 (pow b 3))
(*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (neg.f64 (*.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))) b)) 1/6)))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) a) b)) b)) b)) (neg.f64 (*.f64 b (*.f64 b b))))
(/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(/.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)))
(+ (* a (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(fma.f64 a (+.f64 (/.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) (*.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 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 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))))
(+ (* a (- (+ (* a (- (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3)) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1 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)) (*.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 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) (*.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 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 (/.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) (*.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 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 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))))
(+ (* a (- (+ (* a (- (+ (* a (- (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3)) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 4)))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(fma.f64 a (fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1 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)) (*.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 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) (pow.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)) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 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)) (*.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 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) (*.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 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 (/.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) (*.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 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 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
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)))
(-.f64 #s(literal 1 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 1 binary64)) a))
(- (+ 1 (/ (* (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (pow a 2))) (+ (/ 1 a) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) a)))
(-.f64 (fma.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)) (/.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 1 binary64)) (*.f64 a a)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 b a) (/.f64 #s(literal 1 binary64) a)))
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(* 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
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow b 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow b 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))

eval199.0ms (2.4%)

Memory
6.1MiB live, 238.0MiB allocated
Compiler

Compiled 43 522 to 3 234 computations (92.6% saved)

prune145.0ms (1.8%)

Memory
14.1MiB live, 290.9MiB allocated
Pruning

35 alts after pruning (24 fresh and 11 done)

PrunedKeptTotal
New1 045121 057
Fresh01212
Picked055
Done066
Total1 045351 080
Accuracy
100.0%
Counts
1 080 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.9%
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
38.5%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
39.0%
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
39.0%
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
39.2%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
45.2%
(/.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 (fma.f64 a #s(literal 6 binary64) #s(literal 6 binary64)) (*.f64 b (*.f64 b b)))
15.8%
(/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) (*.f64 b b))
15.2%
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
55.9%
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
51.4%
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
50.7%
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
49.3%
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64)) (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
57.3%
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (-.f64 a #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓55.9%
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) 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))))
✓51.4%
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
35.6%
(/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) a) b)) b)) b)) (neg.f64 (*.f64 b (*.f64 b b)))))
58.7%
(/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1 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)) a)) (neg.f64 a)))
36.8%
(/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) a) b)) b))))
38.3%
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))) (-.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))))) (*.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (-.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64))))))
✓71.1%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
23.0%
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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))))
18.8%
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓15.9%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
55.4%
(/.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)))
✓50.9%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓15.5%
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))
49.8%
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
51.4%
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓38.5%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓77.2%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
3.4%
(/.f64 #s(literal 1 binary64) b)
✓52.8%
(exp.f64 a)
✓22.2%
#s(literal 1 binary64)
✓39.3%
#s(literal 1/2 binary64)
Compiler

Compiled 989 to 449 computations (54.6% saved)

regimes60.0ms (0.7%)

Memory
-4.0MiB live, 114.6MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #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))
(/.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 (*.f64 b #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) (*.f64 b b))
(/.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 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 6 binary64) #s(literal 6 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #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) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 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)))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) 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))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (-.f64 a #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 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 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1 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)) a)) (neg.f64 a)))
(/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) a) b)) b))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64)) (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) a) b)) b)) b)) (neg.f64 (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))) (-.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))))) (*.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (-.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64))))))
(exp.f64 a)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
Calls

5 calls:

14.0ms
a
12.0ms
b
11.0ms
(exp.f64 a)
11.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
10.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.9%1a
98.9%1b
98.9%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.9%1(exp.f64 a)
98.9%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes55.0ms (0.7%)

Memory
24.4MiB live, 100.1MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #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))
(/.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 (*.f64 b #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) (*.f64 b b))
(/.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 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 6 binary64) #s(literal 6 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #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) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 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)))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) 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))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (-.f64 a #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 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 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1 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)) a)) (neg.f64 a)))
(/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) a) b)) b))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64)) (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) a) b)) b)) b)) (neg.f64 (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))) (-.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))))) (*.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (-.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64))))))
(exp.f64 a)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
Outputs
(exp.f64 a)
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
Calls

5 calls:

11.0ms
a
11.0ms
b
11.0ms
(exp.f64 b)
10.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.3%2a
98.6%3b
83.0%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.3%2(exp.f64 a)
98.6%3(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes30.0ms (0.4%)

Memory
-39.3MiB live, 55.3MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #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))
(/.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 (*.f64 b #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) (*.f64 b b))
(/.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 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 6 binary64) #s(literal 6 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #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) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 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)))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) 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))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (-.f64 a #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 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 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1 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)) a)) (neg.f64 a)))
(/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) a) b)) b))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64)) (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) a) b)) b)) b)) (neg.f64 (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))) (-.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))))) (*.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (-.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64))))))
(exp.f64 a)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Outputs
(exp.f64 a)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Calls

2 calls:

17.0ms
a
11.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.7%2a
98.7%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes50.0ms (0.6%)

Memory
11.0MiB live, 84.8MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #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))
(/.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 (*.f64 b #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) (*.f64 b b))
(/.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 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 6 binary64) #s(literal 6 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #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) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 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)))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) 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))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (-.f64 a #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 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 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1 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)) a)) (neg.f64 a)))
(/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) a) b)) b))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64)) (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) a) b)) b)) b)) (neg.f64 (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))) (-.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))))) (*.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (-.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64))))))
(exp.f64 a)
Outputs
(exp.f64 a)
(/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1 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)) a)) (neg.f64 a)))
Calls

5 calls:

12.0ms
b
10.0ms
a
10.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms
(exp.f64 b)
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
83.0%3(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
81.1%3(exp.f64 b)
82.8%4b
82.2%2a
82.2%2(exp.f64 a)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes55.0ms (0.7%)

Memory
14.6MiB live, 93.6MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #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))
(/.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 (*.f64 b #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) (*.f64 b b))
(/.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 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 6 binary64) #s(literal 6 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #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) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 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)))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) 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))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (-.f64 a #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 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 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1 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)) a)) (neg.f64 a)))
(/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) a) b)) b))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal 1 binary64)) (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) a) b)) b)) b)) (neg.f64 (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))) (-.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))))) (*.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (-.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64))))))
Outputs
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (-.f64 a #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1 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)) a)) (neg.f64 a)))
Calls

5 calls:

18.0ms
b
10.0ms
(exp.f64 a)
10.0ms
a
8.0ms
(exp.f64 b)
8.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
80.7%3(exp.f64 b)
80.7%3b
71.6%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
63.2%2(exp.f64 a)
66.5%3a
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes20.0ms (0.2%)

Memory
-7.0MiB live, 28.6MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #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))
(/.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 (*.f64 b #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) (*.f64 b b))
(/.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 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 6 binary64) #s(literal 6 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #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) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 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)))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) 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))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (-.f64 a #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 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)))
Outputs
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (-.f64 a #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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))))
Calls

2 calls:

12.0ms
b
7.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
80.2%3(exp.f64 b)
80.2%3b
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes22.0ms (0.3%)

Memory
17.7MiB live, 56.5MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #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))
(/.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 (*.f64 b #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) (*.f64 b b))
(/.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 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 6 binary64) #s(literal 6 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #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) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 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)))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
Outputs
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) 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))))
#s(literal 1 binary64)
Calls

3 calls:

9.0ms
b
6.0ms
(exp.f64 b)
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
71.3%3(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
70.9%3b
70.9%3(exp.f64 b)
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes8.0ms (0.1%)

Memory
-26.0MiB live, 12.2MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #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))
(/.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 (*.f64 b #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) (*.f64 b b))
(/.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 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 6 binary64) #s(literal 6 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #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) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 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)))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
Outputs
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
#s(literal 1 binary64)
Calls

1 calls:

7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
71.3%3(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes7.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #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))
(/.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 (*.f64 b #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) (*.f64 b b))
(/.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 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 6 binary64) #s(literal 6 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #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) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 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)))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
Outputs
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
#s(literal 1 binary64)
Calls

1 calls:

6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
71.1%3(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes24.0ms (0.3%)

Memory
0.6MiB live, 44.0MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #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))
(/.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 (*.f64 b #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) (*.f64 b b))
(/.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 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 6 binary64) #s(literal 6 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #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) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 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)))
(/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
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)))
#s(literal 1 binary64)
Calls

3 calls:

12.0ms
b
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
67.9%2b
67.9%2(exp.f64 b)
68.6%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes17.0ms (0.2%)

Memory
-12.5MiB live, 26.5MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #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))
(/.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 (*.f64 b #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) (*.f64 b b))
(/.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 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 6 binary64) #s(literal 6 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #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) (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
Outputs
(/.f64 (fma.f64 a #s(literal 6 binary64) #s(literal 6 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

3 calls:

6.0ms
b
5.0ms
(exp.f64 b)
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
68.2%3(exp.f64 b)
68.2%3b
68.2%3(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes21.0ms (0.3%)

Memory
6.0MiB live, 43.8MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #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))
(/.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 (*.f64 b #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) (*.f64 b b))
(/.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 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
Calls

4 calls:

7.0ms
a
5.0ms
b
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
52.6%2a
63.3%2(exp.f64 b)
63.3%2b
63.9%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes16.0ms (0.2%)

Memory
27.0MiB live, 27.0MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #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))
(/.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 (*.f64 b #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) (*.f64 b b))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
Calls

4 calls:

4.0ms
b
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 a)
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
49.8%1(exp.f64 a)
62.2%2(exp.f64 b)
62.2%2b
62.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
-32.9MiB live, 6.3MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #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))
Outputs
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
63.8%3(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes9.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 (*.f64 a a) #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 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

3 calls:

3.0ms
b
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
63.3%3(exp.f64 b)
63.3%3b
63.7%3(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes12.0ms (0.1%)

Memory
-11.0MiB live, 31.1MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
#s(literal 1 binary64)
Calls

4 calls:

5.0ms
a
3.0ms
b
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
41.5%2a
51.1%2b
51.1%2(exp.f64 b)
51.7%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes4.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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)
Outputs
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

2 calls:

2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
39.3%1(exp.f64 a)
51.3%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes5.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Calls

3 calls:

2.0ms
b
1.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
49.8%2(exp.f64 b)
49.8%2b
50.4%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes6.0ms (0.1%)

Memory
-26.7MiB live, 12.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
Outputs
#s(literal 1/2 binary64)
Calls

5 calls:

1.0ms
a
1.0ms
b
1.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 b)
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
39.3%1(exp.f64 a)
39.3%1a
39.3%1(exp.f64 b)
39.3%1b
39.3%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.999999976729315
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.999999976729315
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch12.0ms (0.1%)

Memory
19.2MiB live, 19.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
-12463820373.664745
-11812678.931663835
Samples
7.0ms128×0valid
Compiler

Compiled 245 to 179 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 3.0ms (72.5% of total)
ival-div: 1.0ms (24.2% of total)
ival-add: 1.0ms (24.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.3%)

Memory
11.3MiB live, 49.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
5.720329059970406e-5
0.0001357625318259695
16.0ms
-4.9516849133547494e+20
-5745.117588667565
Samples
12.0ms240×0valid
0.0ms6×0exit
Compiler

Compiled 533 to 346 computations (35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (57% of total)
ival-div: 1.0ms (14.3% of total)
ival-add: 1.0ms (14.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Memory
10.4MiB live, 49.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.00016131566701772844
0.006227787319311087
14.0ms
-4.9516849133547494e+20
-5745.117588667565
Samples
14.0ms272×0valid
0.0ms3×0exit
Compiler

Compiled 594 to 373 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 5.0ms (64.6% of total)
ival-div: 2.0ms (25.8% of total)
ival-add: 1.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
-54.8MiB live, 1.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.7066824368680957
1.0
4.0ms
0.0
0.49995967108333306
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.7066824368680957
1.0
0.0ms
0.0
0.49995967108333306
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.7066824368680957
1.0
0.0ms
0.0
0.49995967108333306
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
0.7066824368680957
1.0
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.7066824368680957
1.0
0.0ms
0.0
0.49995967108333306
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.7066824368680957
1.0
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.7066824368680957
1.0
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.7066824368680957
1.0
0.0ms
0.0
0.49995967108333306
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.7066824368680957
1.0
0.0ms
0.0
0.49995967108333306
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
0.7066824368680957
1.0
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.7066824368680957
1.0
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.7066824368680957
1.0
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify56.0ms (0.7%)

Memory
6.1MiB live, 45.2MiB allocated
Algorithm
1×egg-herbie
Rules
252×distribute-lft-neg-in_binary64
144×neg-mul-1_binary64
138×neg-sub0_binary64
130×cancel-sign-sub_binary64
128×distribute-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
098550
1121550
2141550
3166548
4197548
5235548
6284548
7319548
8369548
9422548
10468548
11507548
12567548
13643548
14722548
15782548
16819548
17837548
18854548
19871548
20883548
21897548
22903548
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (exp.f64 a) (/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 a #s(literal -12000000 binary64)) (exp.f64 a) (/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1 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)) a)) (neg.f64 a))))
(if (<=.f64 b #s(literal -5800 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 8854437155380585/73786976294838206464 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (-.f64 a #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1 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)) a)) (neg.f64 a)))))
(if (<=.f64 b #s(literal -5800 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7148113328562451/1152921504606846976 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (-.f64 a #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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)))) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) 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)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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)))) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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)))) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 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))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 (fma.f64 a #s(literal 6 binary64) #s(literal 6 binary64)) (*.f64 b (*.f64 b b))) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 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))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 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)) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 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)) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
Outputs
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (+.f64 a #s(literal 1 binary64)) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (exp.f64 a) (/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (exp.f64 a) (/.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 (+.f64 a #s(literal 1 binary64)) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 a #s(literal -12000000 binary64)) (exp.f64 a) (/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1 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)) a)) (neg.f64 a))))
(if (<=.f64 a #s(literal -12000000 binary64)) (exp.f64 a) (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 a (-.f64 (/.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)) a) #s(literal -1 binary64)))))
(if (<=.f64 b #s(literal -5800 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 8854437155380585/73786976294838206464 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (-.f64 a #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal -1 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)) a)) (neg.f64 a)))))
(if (<=.f64 b #s(literal -5800 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 8854437155380585/73786976294838206464 binary64)) (/.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 a a)) (+.f64 a #s(literal -1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 a (-.f64 (/.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)) a) #s(literal -1 binary64))))))
(if (<=.f64 b #s(literal -5800 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7148113328562451/1152921504606846976 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (-.f64 a #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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))))))
(if (<=.f64 b #s(literal -5800 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7148113328562451/1152921504606846976 binary64)) (/.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 a a)) (+.f64 a #s(literal -1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 a (+.f64 (+.f64 a #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 1 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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)))) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) 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)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 a (+.f64 (+.f64 a #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 1 binary64)))) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (/.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 (+.f64 a #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 1 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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)))) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 a (+.f64 (+.f64 a #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 1 binary64)))) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (/.f64 (+.f64 a #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)) (+.f64 a #s(literal 2 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) 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)))) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 a (+.f64 (+.f64 a #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 1 binary64)))) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (/.f64 (+.f64 a #s(literal 1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 2 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 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))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) (/.f64 (fma.f64 a #s(literal 6 binary64) #s(literal 6 binary64)) (*.f64 b (*.f64 b b))) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 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))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 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)) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 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)) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1591307379674215/2251799813685248 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

soundness1.5s (17.9%)

Memory
43.3MiB live, 1 145.5MiB allocated
Rules
18 438×accelerator-lowering-fma.f32
18 438×accelerator-lowering-fma.f64
13 798×accelerator-lowering-fma.f32
13 798×accelerator-lowering-fma.f64
9 638×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02541294
17511262
220281228
081451157
04773407
113913263
241043158
084452978
026139
1198139
21945139
08548118
0120740
1332725
2963708
33702677
08342640
04483412
114513318
249793243
081222854
0617
12817
219917
3192817
0863117
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×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 866 to 973 computations (47.9% saved)

preprocess431.0ms (5.2%)

Memory
-7.0MiB live, 250.1MiB allocated
Compiler

Compiled 1 140 to 220 computations (80.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...