Quotient of sum of exps

Time bar (total: 8.2s)

analyze5.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%1.6%0%7
96%93.7%3.9%0.1%0%2.3%0%8
97.2%93.7%2.7%0.1%0%3.5%0%9
97.8%93.7%2.1%0.1%0%4.1%0%10
98.5%93.7%1.5%0.1%0%4.8%0%11
98.8%93.7%1.1%0.1%0%5.1%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.0s (12.3%)

Memory
11.7MiB live, 1 441.8MiB allocated
Samples
467.0ms8 256×0valid
161.0ms2 951×0exit
Precisions
Click to see histograms. Total time spent on operations: 363.0ms
ival-exp: 220.0ms (60.6% of total)
ival-div: 71.0ms (19.6% of total)
ival-add: 59.0ms (16.3% of total)
ival-true: 9.0ms (2.5% of total)
ival-assert: 4.0ms (1.1% of total)
Bogosity

preprocess84.0ms (1%)

Memory
-20.3MiB live, 18.4MiB 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)))

explain81.0ms (1%)

Memory
21.5MiB live, 148.2MiB 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/o30
↳(exp.f64 a)overflow3
↳(+.f64 (exp.f64 a) (exp.f64 b))overflow67
↳(exp.f64 a)overflow3
↳(exp.f64 b)overflow65
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
29.0ms512×0valid
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 (56.5% of total)
ival-div: 3.0ms (21.2% of total)
ival-add: 3.0ms (21.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Memory
-37.0MiB live, 2.1MiB 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
9.9MiB live, 9.9MiB 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

localize21.0ms (0.3%)

Memory
16.7MiB live, 56.1MiB 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
14.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (58.9% of total)
ival-div: 2.0ms (29.5% of total)
ival-add: 1.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB 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
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)))
1.0ms
b
@-inf
(/ (exp a) (+ (exp a) (exp b)))

rewrite313.0ms (3.8%)

Memory
-17.5MiB live, 524.6MiB 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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.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)))))))
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(/.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))

simplify427.0ms (5.2%)

Memory
5.2MiB live, 739.5MiB 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)

eval51.0ms (0.6%)

Memory
-11.5MiB live, 64.9MiB allocated
Compiler

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

prune59.0ms (0.7%)

Memory
1.7MiB live, 79.6MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4094413
Fresh000
Picked101
Done000
Total4104414
Accuracy
100.0%
Counts
414 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶80.7%
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 a) (exp.f64 b)))
▶95.7%
(/.f64 (exp.f64 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))))
▶64.9%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶83.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Compiler

Compiled 50 to 34 computations (32% saved)

simplify35.0ms (0.4%)

Memory
10.2MiB live, 51.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (exp.f64 a) (exp.f64 b))
✓cost-diff0
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 a) (exp.f64 b)))
✓cost-diff0
(fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
(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)))
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(/.f64 (exp.f64 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))))
✓cost-diff0
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(/.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)))
Rules
1 068×accelerator-lowering-fma.f32
1 068×accelerator-lowering-fma.f64
424×+-lowering-+.f64
424×+-lowering-+.f32
282×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024133
156133
2112133
3223133
4346133
5505133
6509133
7536133
8619133
9671133
0671119
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 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) (+ (* a (+ (* a (+ (* a 1/6) 1/2)) 1)) (+ 1 (exp b))))
(exp a)
a
(+ (* a (+ (* a (+ (* a 1/6) 1/2)) 1)) (+ 1 (exp b)))
(+ (* a (+ (* a 1/6) 1/2)) 1)
(+ (* a 1/6) 1/2)
1/6
1/2
1
(+ 1 (exp b))
(exp b)
b
(/ (+ (* a (+ (* a 1/2) 1)) 1) (+ (exp a) (exp b)))
(+ (* a (+ (* a 1/2) 1)) 1)
a
(+ (* a 1/2) 1)
1/2
1
(+ (exp a) (exp b))
(exp a)
(exp b)
b
Outputs
(/ 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 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(exp a)
(exp.f64 a)
a
(+ (exp a) 1)
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(/ (exp a) (+ (* a (+ (* a (+ (* a 1/6) 1/2)) 1)) (+ 1 (exp b))))
(/.f64 (exp.f64 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.f64 a)
a
(+ (* a (+ (* a (+ (* a 1/6) 1/2)) 1)) (+ 1 (exp b)))
(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)))
(+ (* a (+ (* a 1/6) 1/2)) 1)
(fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ (* a 1/6) 1/2)
(fma.f64 a #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)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp b)
(exp.f64 b)
b
(/ (+ (* a (+ (* a 1/2) 1)) 1) (+ (exp a) (exp b)))
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (* a (+ (* a 1/2) 1)) 1)
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
a
(+ (* a 1/2) 1)
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp a)
(exp.f64 a)
(exp b)
(exp.f64 b)
b

localize104.0ms (1.3%)

Memory
16.6MiB live, 130.0MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy97.7%
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 a) (exp.f64 b)))
✓accuracy100.0%
(fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓accuracy99.9%
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓accuracy99.6%
(/.f64 (exp.f64 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))))
✓accuracy98.1%
(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)))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓accuracy98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓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)
Samples
70.0ms256×0valid
Compiler

Compiled 121 to 26 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-add: 9.0ms (29.4% of total)
ival-mult: 7.0ms (22.8% of total)
ival-div: 6.0ms (19.6% of total)
ival-exp: 4.0ms (13% of total)
const: 4.0ms (13% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
-11.2MiB live, 32.1MiB allocated
Counts
14 → 216
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (exp b)>
#<alt (/ (exp a) (+ (exp a) 1))>
#<alt (exp a)>
#<alt (+ (exp a) 1)>
#<alt (/ (exp a) (+ (* a (+ (* a (+ (* a 1/6) 1/2)) 1)) (+ 1 (exp b))))>
#<alt (+ (* a (+ (* a (+ (* a 1/6) 1/2)) 1)) (+ 1 (exp b)))>
#<alt (+ (* a (+ (* a 1/6) 1/2)) 1)>
#<alt (/ (+ (* a (+ (* a 1/2) 1)) 1) (+ (exp a) (exp b)))>
#<alt (+ (* a (+ (* a 1/2) 1)) 1)>
#<alt (+ (* a 1/2) 1)>
#<alt (+ (exp a) (exp b))>
#<alt (+ (* a 1/6) 1/2)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt 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 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 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 (+ 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 (* 6 (/ (exp a) (pow a 3)))>
#<alt (/ (+ (* -18 (/ (exp a) a)) (* 6 (exp a))) (pow a 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -54 (exp a)) (* 36 (exp a))) (pow a 2))) (* 6 (exp a))) (* 18 (/ (exp a) a))) (pow a 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -108 (exp a)) (+ (* -3 (+ (* -54 (exp a)) (* 36 (exp a)))) (* 36 (* (exp a) (+ 1 (exp b)))))) (pow a 3))) (* 6 (exp a))) (+ (* -54 (/ (exp a) (pow a 2))) (+ (* 18 (/ (exp a) a)) (* 36 (/ (exp a) (pow a 2)))))) (pow a 3))>
#<alt (* 6 (/ (exp a) (pow a 3)))>
#<alt (* -1 (/ (+ (* -6 (exp a)) (* 18 (/ (exp a) a))) (pow a 3)))>
#<alt (* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (+ (* -36 (/ (exp a) a)) (* 54 (/ (exp a) a))) (* 18 (exp a))) a))) (pow a 3)))>
#<alt (* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (exp a) a)) (+ (* 3 (/ (+ (* -36 (exp a)) (* 54 (exp a))) a)) (* 36 (/ (* (exp a) (+ 1 (exp b))) a)))) (+ (* -36 (exp a)) (* 54 (exp a)))) a)) (* 18 (exp a))) a))) (pow a 3)))>
#<alt (/ (exp a) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))) (/ (exp a) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) (+ (* -1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 3))) (* 1/6 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 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 (* 1/6 (pow a 3))>
#<alt (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (+ (/ 1 (pow a 3)) (/ (exp b) (pow a 3)))))))>
#<alt (* 1/6 (pow a 3))>
#<alt (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))) a)) 1/6)))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 a))>
#<alt (+ 1 (* a (+ 1/2 (* 1/6 a))))>
#<alt (+ 1 (* a (+ 1/2 (* 1/6 a))))>
#<alt (* 1/6 (pow a 2))>
#<alt (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))>
#<alt (* 1/6 (pow a 2))>
#<alt (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))>
#<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 (- (* 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 (* 1/2 (/ (pow a 2) (+ (exp a) (exp b))))>
#<alt (* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b))))))>
#<alt (* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (+ (/ 1 (* (pow a 2) (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b)))))))>
#<alt (* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (+ (/ 1 (* (pow a 2) (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b)))))))>
#<alt (* 1/2 (/ (pow a 2) (+ (exp a) (exp b))))>
#<alt (* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b))))))>
#<alt (* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (+ (/ 1 (* (pow a 2) (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b)))))))>
#<alt (* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (+ (/ 1 (* (pow a 2) (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b)))))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (exp a)))>
#<alt (+ (* -1 (* b (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))))) (+ (/ 1 (+ 1 (exp a))) (/ (* a (+ 1 (* 1/2 a))) (+ 1 (exp a)))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))) (+ 1 (exp a)))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 1 (exp a)) 2)))))) (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))))) (+ (/ 1 (+ 1 (exp a))) (/ (* a (+ 1 (* 1/2 a))) (+ 1 (exp a)))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))) (+ 1 (exp a)))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))) (+ 1 (exp a)))) (* 1/6 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))) (+ 1 (exp a)))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 1 (exp a)) 2)))))) (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))))) (+ (/ 1 (+ 1 (exp a))) (/ (* a (+ 1 (* 1/2 a))) (+ 1 (exp a)))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 a))>
#<alt (+ 1 (* 1/2 a))>
#<alt (+ 1 (* 1/2 a))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (+ 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 1/2>
#<alt (+ 1/2 (* 1/6 a))>
#<alt (+ 1/2 (* 1/6 a))>
#<alt (+ 1/2 (* 1/6 a))>
#<alt (* 1/6 a)>
#<alt (* a (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* 1/6 a)>
#<alt (* a (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/6 (* 1/2 (/ 1 a))))>
Calls

54 calls:

TimeVariablePointExpression
3.0ms
a
@-inf
(/ (exp a) (+ (* a (+ (* a (+ (* a 1/6) 1/2)) 1)) (+ 1 (exp b))))
3.0ms
b
@inf
(/ (exp a) (+ (* a (+ (* a (+ (* a 1/6) 1/2)) 1)) (+ 1 (exp b))))
1.0ms
b
@inf
(/ 1 (+ 1 (exp b)))
1.0ms
b
@0
(/ (+ (* a (+ (* a 1/2) 1)) 1) (+ (exp a) (exp b)))
1.0ms
b
@0
(/ (exp a) (+ (* a (+ (* a (+ (* a 1/6) 1/2)) 1)) (+ 1 (exp b))))

rewrite327.0ms (4%)

Memory
8.5MiB live, 482.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 726×/-lowering-/.f32
4 726×/-lowering-/.f64
4 664×accelerator-lowering-fma.f32
4 664×accelerator-lowering-fma.f64
3 556×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024108
1171108
21496108
0877594
Stop Event
1×iter limit
1×node limit
Counts
14 → 639
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(exp b)
(/ (exp a) (+ (exp a) 1))
(exp a)
(+ (exp a) 1)
(/ (exp a) (+ (* a (+ (* a (+ (* a 1/6) 1/2)) 1)) (+ 1 (exp b))))
(+ (* a (+ (* a (+ (* a 1/6) 1/2)) 1)) (+ 1 (exp b)))
(+ (* a (+ (* a 1/6) 1/2)) 1)
(/ (+ (* a (+ (* a 1/2) 1)) 1) (+ (exp a) (exp b)))
(+ (* a (+ (* a 1/2) 1)) 1)
(+ (* a 1/2) 1)
(+ (exp a) (exp b))
(+ (* a 1/6) 1/2)
Outputs
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (/.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))
(/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 b))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))))
(*.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)))
(-.f64 (/.f64 (exp.f64 (+.f64 b b)) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (expm1.f64 b)))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(fma.f64 (exp.f64 b) #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 b) (expm1.f64 (+.f64 b b))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 (+.f64 b b)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 b b))) (neg.f64 (expm1.f64 b)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))
(*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(*.f64 (expm1.f64 (+.f64 b b)) (/.f64 #s(literal 1 binary64) (expm1.f64 b)))
(exp.f64 b)
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(*.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(neg.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (neg.f64 a))))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal -1 binary64))
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(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 a #s(literal 1/2 binary64))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.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 #s(literal 0 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)))
(-.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) (exp.f64 a))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (exp.f64 b))
(fma.f64 (exp.f64 b) #s(literal 1 binary64) (exp.f64 a))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) (exp.f64 b))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (exp.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(neg.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) #s(literal -1 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(/.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 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 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (fma.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(*.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #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 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #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 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #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))))
(+.f64 (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 1/36 binary64)) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 1/36 binary64)) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 a a) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/36 binary64)) (*.f64 a #s(literal 1/12 binary64)))) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal 1/36 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/36 binary64)) (*.f64 a #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/36 binary64)) (*.f64 a #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/36 binary64)) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 1/36 binary64)) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 1/36 binary64)) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal 1/36 binary64)) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 1/36 binary64)) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/36 binary64)) (*.f64 a #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/12 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))

simplify446.0ms (5.4%)

Memory
17.4MiB live, 604.4MiB allocated
Algorithm
1×egg-herbie
Rules
15 636×accelerator-lowering-fma.f32
15 636×accelerator-lowering-fma.f64
5 844×+-lowering-+.f64
5 844×+-lowering-+.f32
4 766×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03422903
110122842
231822772
081752473
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
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)))
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)
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 (+ 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))))
(* 6 (/ (exp a) (pow a 3)))
(/ (+ (* -18 (/ (exp a) a)) (* 6 (exp a))) (pow a 3))
(/ (- (+ (* -1 (/ (+ (* -54 (exp a)) (* 36 (exp a))) (pow a 2))) (* 6 (exp a))) (* 18 (/ (exp a) a))) (pow a 3))
(/ (- (+ (* -1 (/ (+ (* -108 (exp a)) (+ (* -3 (+ (* -54 (exp a)) (* 36 (exp a)))) (* 36 (* (exp a) (+ 1 (exp b)))))) (pow a 3))) (* 6 (exp a))) (+ (* -54 (/ (exp a) (pow a 2))) (+ (* 18 (/ (exp a) a)) (* 36 (/ (exp a) (pow a 2)))))) (pow a 3))
(* 6 (/ (exp a) (pow a 3)))
(* -1 (/ (+ (* -6 (exp a)) (* 18 (/ (exp a) a))) (pow a 3)))
(* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (+ (* -36 (/ (exp a) a)) (* 54 (/ (exp a) a))) (* 18 (exp a))) a))) (pow a 3)))
(* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (exp a) a)) (+ (* 3 (/ (+ (* -36 (exp a)) (* 54 (exp a))) a)) (* 36 (/ (* (exp a) (+ 1 (exp b))) a)))) (+ (* -36 (exp a)) (* 54 (exp a)))) a)) (* 18 (exp a))) a))) (pow a 3)))
(/ (exp a) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))) (/ (exp a) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) (+ (* -1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 3))) (* 1/6 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(* 1/6 (pow a 3))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (+ (/ 1 (pow a 3)) (/ (exp b) (pow a 3)))))))
(* 1/6 (pow a 3))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))) a)) 1/6)))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
1
(+ 1 (* 1/2 a))
(+ 1 (* a (+ 1/2 (* 1/6 a))))
(+ 1 (* a (+ 1/2 (* 1/6 a))))
(* 1/6 (pow a 2))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* 1/6 (pow a 2))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(/ 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 (- (* 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))))
(* 1/2 (/ (pow a 2) (+ (exp a) (exp b))))
(* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b))))))
(* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (+ (/ 1 (* (pow a 2) (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b)))))))
(* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (+ (/ 1 (* (pow a 2) (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b)))))))
(* 1/2 (/ (pow a 2) (+ (exp a) (exp b))))
(* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b))))))
(* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (+ (/ 1 (* (pow a 2) (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b)))))))
(* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (+ (/ 1 (* (pow a 2) (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b)))))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (exp a)))
(+ (* -1 (* b (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))))) (+ (/ 1 (+ 1 (exp a))) (/ (* a (+ 1 (* 1/2 a))) (+ 1 (exp a)))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))) (+ 1 (exp a)))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 1 (exp a)) 2)))))) (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))))) (+ (/ 1 (+ 1 (exp a))) (/ (* a (+ 1 (* 1/2 a))) (+ 1 (exp a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))) (+ 1 (exp a)))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))) (+ 1 (exp a)))) (* 1/6 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))) (+ 1 (exp a)))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 1 (exp a)) 2)))))) (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))))) (+ (/ 1 (+ 1 (exp a))) (/ (* a (+ 1 (* 1/2 a))) (+ 1 (exp a)))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* 1/2 a))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
1
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(+ 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))
1/2
(+ 1/2 (* 1/6 a))
(+ 1/2 (* 1/6 a))
(+ 1/2 (* 1/6 a))
(* 1/6 a)
(* a (+ 1/6 (* 1/2 (/ 1 a))))
(* a (+ 1/6 (* 1/2 (/ 1 a))))
(* a (+ 1/6 (* 1/2 (/ 1 a))))
(* 1/6 a)
(* a (+ 1/6 (* 1/2 (/ 1 a))))
(* a (+ 1/6 (* 1/2 (/ 1 a))))
(* a (+ 1/6 (* 1/2 (/ 1 a))))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (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 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) a #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)
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 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 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 -3/2 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))))
(+ (* 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 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2/3 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 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 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 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 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(* 6 (/ (exp a) (pow a 3)))
(/.f64 (*.f64 (exp.f64 a) #s(literal 6 binary64)) (*.f64 a (*.f64 a a)))
(/ (+ (* -18 (/ (exp a) a)) (* 6 (exp a))) (pow a 3))
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) a))) (*.f64 a (*.f64 a a)))
(/ (- (+ (* -1 (/ (+ (* -54 (exp a)) (* 36 (exp a))) (pow a 2))) (* 6 (exp a))) (* 18 (/ (exp a) a))) (pow a 3))
(/.f64 (fma.f64 (exp.f64 a) #s(literal 6 binary64) (*.f64 (/.f64 (exp.f64 a) a) (+.f64 (/.f64 #s(literal 18 binary64) a) #s(literal -18 binary64)))) (*.f64 a (*.f64 a a)))
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(* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 a (+.f64 (exp.f64 b) (exp.f64 a))))
(* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (+ (/ 1 (* (pow a 2) (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b)))))))
(fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 (exp.f64 b) (exp.f64 a))))) (/.f64 a (+.f64 (exp.f64 b) (exp.f64 a))))
(* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (+ (/ 1 (* (pow a 2) (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b)))))))
(fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 (exp.f64 b) (exp.f64 a))))) (/.f64 a (+.f64 (exp.f64 b) (exp.f64 a))))
(* 1/2 (/ (pow a 2) (+ (exp a) (exp b))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (+.f64 (exp.f64 b) (exp.f64 a)))
(* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 a (+.f64 (exp.f64 b) (exp.f64 a))))
(* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (+ (/ 1 (* (pow a 2) (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b)))))))
(fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 (exp.f64 b) (exp.f64 a))))) (/.f64 a (+.f64 (exp.f64 b) (exp.f64 a))))
(* (pow a 2) (+ (/ 1 (* a (+ (exp a) (exp b)))) (+ (/ 1 (* (pow a 2) (+ (exp a) (exp b)))) (* 1/2 (/ 1 (+ (exp a) (exp b)))))))
(fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 (exp.f64 b) (exp.f64 a))))) (/.f64 a (+.f64 (exp.f64 b) (exp.f64 a))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (exp a)))
(/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (* b (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))))) (+ (/ 1 (+ 1 (exp a))) (/ (* a (+ 1 (* 1/2 a))) (+ 1 (exp a)))))
(fma.f64 a (/.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))) (+ 1 (exp a)))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 1 (exp a)) 2)))))) (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))))) (+ (/ 1 (+ 1 (exp a))) (/ (* a (+ 1 (* 1/2 a))) (+ 1 (exp a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (fma.f64 a (/.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))) (+ 1 (exp a)))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))) (+ 1 (exp a)))) (* 1/6 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))) (+ 1 (exp a)))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 1 (exp a)) 2)))))) (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 1 (exp a)) 2))))) (+ (/ 1 (+ 1 (exp a))) (/ (* a (+ 1 (* 1/2 a))) (+ 1 (exp a)))))
(fma.f64 b (fma.f64 b (fma.f64 b (neg.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (fma.f64 a (/.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))
(/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))
(/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))
(/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))
(/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))
(/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))
(/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))
(/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (exp a) (exp b)))
(/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) (+.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 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow a 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 a a))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a)
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow a 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 a a))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a)
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(+ 1 (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(+ 1 (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) a))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 a))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 a))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 a))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* a (+ 1/6 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(* a (+ 1/6 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(* a (+ 1/6 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* a (+ 1/6 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(* a (+ 1/6 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(* a (+ 1/6 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))

eval445.0ms (5.4%)

Memory
-155.6MiB live, 217.7MiB allocated
Compiler

Compiled 29 108 to 2 655 computations (90.9% saved)

prune117.0ms (1.4%)

Memory
3.7MiB live, 243.6MiB allocated
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New988131 001
Fresh000
Picked224
Done000
Total990151 005
Accuracy
100.0%
Counts
1 005 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
41.4%
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
44.4%
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
44.3%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
44.5%
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
42.2%
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
80.5%
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
▶81.7%
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))))
✓64.9%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
63.6%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
▶60.1%
(/.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)))
▶52.9%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
▶42.3%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓83.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶44.1%
#s(literal 1/2 binary64)
Compiler

Compiled 323 to 220 computations (31.9% saved)

simplify30.0ms (0.4%)

Memory
11.1MiB live, 50.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
✓cost-diff0
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
✓cost-diff0
(+.f64 b #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
✓cost-diff0
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))))
Rules
732×accelerator-lowering-fma.f32
732×accelerator-lowering-fma.f64
308×*-lowering-*.f32
308×*-lowering-*.f64
260×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031157
180157
2151157
3288157
4352157
5363157
6367157
7394157
8477157
9524157
0524131
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (+ (* a (+ (* a 1/2) 1)) 1) (+ 1 (+ (* a (+ (* 1/2 a) 1)) (exp b))))
(+ (* a (+ (* a 1/2) 1)) 1)
a
(+ (* a 1/2) 1)
1/2
1
(+ 1 (+ (* a (+ (* 1/2 a) 1)) (exp b)))
(+ (* a (+ (* 1/2 a) 1)) (exp b))
(+ (* 1/2 a) 1)
(exp b)
b
1/2
(/ 1 (+ b 2))
1
(+ b 2)
b
2
(/ 1 (+ (* b (+ (* 1/2 b) 1)) 2))
1
(+ (* b (+ (* 1/2 b) 1)) 2)
b
(+ (* 1/2 b) 1)
1/2
2
(/ 1 (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2))
1
(+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2)
b
(+ (* b (+ (* b 1/6) 1/2)) 1)
(+ (* b 1/6) 1/2)
1/6
1/2
2
Outputs
(/ (+ (* a (+ (* a 1/2) 1)) 1) (+ 1 (+ (* a (+ (* 1/2 a) 1)) (exp b))))
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))))
(+ (* a (+ (* a 1/2) 1)) 1)
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
a
(+ (* a 1/2) 1)
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(+ 1 (+ (* a (+ (* 1/2 a) 1)) (exp b)))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
(+ (* a (+ (* 1/2 a) 1)) (exp b))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))
(+ (* 1/2 a) 1)
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(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 (+ (* 1/2 b) 1)) 2))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ (* b (+ (* 1/2 b) 1)) 2)
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
b
(+ (* 1/2 b) 1)
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(/ 1 (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2))
(/.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)
(+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2)
(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)
(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)
2
#s(literal 2 binary64)

localize93.0ms (1.1%)

Memory
9.2MiB live, 166.1MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓accuracy99.9%
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓accuracy99.7%
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓accuracy99.7%
(/.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)))
✓accuracy100.0%
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
✓accuracy100.0%
(+.f64 b #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓accuracy100.0%
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))
✓accuracy100.0%
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))
✓accuracy89.7%
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))))
Samples
60.0ms256×0valid
Compiler

Compiled 133 to 33 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-add: 16.0ms (37.3% of total)
ival-mult: 14.0ms (32.6% of total)
ival-div: 6.0ms (14% of total)
const: 4.0ms (9.3% of total)
ival-exp: 2.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-14.7MiB live, 23.6MiB allocated
Counts
14 → 204
Calls
Call 1
Inputs
#<alt (/ (+ (* a (+ (* a 1/2) 1)) 1) (+ 1 (+ (* a (+ (* 1/2 a) 1)) (exp b))))>
#<alt (+ (* a (+ (* a 1/2) 1)) 1)>
#<alt (+ (* a 1/2) 1)>
#<alt (+ 1 (+ (* a (+ (* 1/2 a) 1)) (exp b)))>
#<alt (/ 1 (+ b 2))>
#<alt (+ b 2)>
#<alt (/ 1 (+ (* b (+ (* 1/2 b) 1)) 2))>
#<alt (+ (* b (+ (* 1/2 b) 1)) 2)>
#<alt (+ (* 1/2 b) 1)>
#<alt (/ 1 (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2))>
#<alt (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2)>
#<alt (+ (* b (+ (* b 1/6) 1/2)) 1)>
#<alt (+ (* b 1/6) 1/2)>
#<alt (+ (* a (+ (* 1/2 a) 1)) (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 (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 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 1>
#<alt (- (+ 1 (* 2 (/ 1 (pow a 2)))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))>
#<alt (- (+ 1 (+ (* -2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -4 (- 2 (* 2 (+ 1 (exp b))))) (* 2 (* (+ 1 (exp b)) (- 2 (* 2 (+ 1 (exp b))))))) (pow a 4))) (* 2 (/ 1 (pow a 2))))) (+ (* 2 (/ (+ 1 (exp b)) (pow a 2))) (* 2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3)))))>
#<alt 1>
#<alt (- (+ 1 (* 2 (/ 1 (pow a 2)))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))>
#<alt (- (+ 1 (+ (* -2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))>
#<alt (- (+ 1 (+ (* -1 (/ (- (+ (* -4 (/ (- 2 (* 2 (+ 1 (exp b)))) a)) (* 2 (/ (* (+ 1 (exp b)) (- 2 (* 2 (+ 1 (exp b))))) a))) (* -2 (- 2 (* 2 (+ 1 (exp b)))))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 2 (* a (+ 1 (* 1/2 a)))))>
#<alt (+ (* -1 (* b (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a)))))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a)))))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (+ (* -1/2 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/6 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a)))))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 a))>
#<alt (+ 1 (* 1/2 a))>
#<alt (+ 1 (* 1/2 a))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))>
#<alt (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/8 b) 1/4)))>
#<alt (+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4)))>
#<alt (/ 1 b)>
#<alt (/ (- 1 (* 2 (/ 1 b))) b)>
#<alt (/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b)>
#<alt (/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (* 2 (/ 1 b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) b))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))>
#<alt (/ 6 (pow b 3))>
#<alt (/ (- 6 (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))>
#<alt (/ 6 (pow b 3))>
#<alt (* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (* 1/6 b)>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* 1/6 b)>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (exp b)>
#<alt (+ a (exp b))>
#<alt (+ (exp b) (* a (+ 1 (* 1/2 a))))>
#<alt (+ (exp b) (* a (+ 1 (* 1/2 a))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ (exp b) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ (exp b) (pow a 2)))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp b) a)) 1) a))))>
#<alt (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp b) a)) 1) a))))>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (+ b (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (exp b) (* a (+ 1 (* 1/2 a))))>
#<alt (+ (exp b) (* a (+ 1 (* 1/2 a))))>
#<alt (+ (exp b) (* a (+ 1 (* 1/2 a))))>
#<alt (+ (exp b) (* a (+ 1 (* 1/2 a))))>
#<alt (+ (exp b) (* a (+ 1 (* 1/2 a))))>
#<alt (+ (exp b) (* a (+ 1 (* 1/2 a))))>
#<alt (+ (exp b) (* a (+ 1 (* 1/2 a))))>
#<alt (+ (exp b) (* a (+ 1 (* 1/2 a))))>
Calls

51 calls:

TimeVariablePointExpression
3.0ms
b
@0
(/ 1 (+ b 2))
1.0ms
b
@0
(/ (+ (* a (+ (* a 1/2) 1)) 1) (+ 1 (+ (* a (+ (* 1/2 a) 1)) (exp b))))
1.0ms
b
@inf
(+ (* b (+ (* b 1/6) 1/2)) 1)
1.0ms
b
@-inf
(/ (+ (* a (+ (* a 1/2) 1)) 1) (+ 1 (+ (* a (+ (* 1/2 a) 1)) (exp b))))
1.0ms
b
@inf
(/ (+ (* a (+ (* a 1/2) 1)) 1) (+ 1 (+ (* a (+ (* 1/2 a) 1)) (exp b))))

rewrite336.0ms (4.1%)

Memory
36.5MiB live, 546.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 426×accelerator-lowering-fma.f32
4 426×accelerator-lowering-fma.f64
4 378×/-lowering-/.f32
4 378×/-lowering-/.f64
3 302×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031133
1238133
21824133
08139108
Stop Event
1×iter limit
1×node limit
Counts
14 → 544
Calls
Call 1
Inputs
(/ (+ (* a (+ (* a 1/2) 1)) 1) (+ 1 (+ (* a (+ (* 1/2 a) 1)) (exp b))))
(+ (* a (+ (* a 1/2) 1)) 1)
(+ (* a 1/2) 1)
(+ 1 (+ (* a (+ (* 1/2 a) 1)) (exp b)))
(/ 1 (+ b 2))
(+ b 2)
(/ 1 (+ (* b (+ (* 1/2 b) 1)) 2))
(+ (* b (+ (* 1/2 b) 1)) 2)
(+ (* 1/2 b) 1)
(/ 1 (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2))
(+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2)
(+ (* b (+ (* b 1/6) 1/2)) 1)
(+ (* b 1/6) 1/2)
(+ (* a (+ (* 1/2 a) 1)) (exp b))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(-.f64 (/.f64 (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) (*.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) (fma.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 (fma.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)) (*.f64 (fma.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))))
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))))
(/.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (*.f64 (fma.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (-.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (neg.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (neg.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(*.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(*.f64 (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(/.f64 (fma.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) (pow.f64 (*.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)) (-.f64 (*.f64 (*.f64 (exp.f64 b) #s(literal 1 binary64)) (*.f64 (exp.f64 b) #s(literal 1 binary64))) (*.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a) (*.f64 (exp.f64 b) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a a)) (pow.f64 (+.f64 a (exp.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (+.f64 a (exp.f64 b)) (+.f64 a (exp.f64 b))) (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (+.f64 a (exp.f64 b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)) (*.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))))) (fma.f64 (*.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) (*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 b)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))))) (fma.f64 (*.f64 (exp.f64 b) #s(literal 1 binary64)) (*.f64 (exp.f64 b) #s(literal 1 binary64)) (-.f64 (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) (*.f64 (*.f64 (exp.f64 b) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 b) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 a (*.f64 a a))) (fma.f64 (+.f64 (exp.f64 b) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (+.f64 (exp.f64 b) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (-.f64 (*.f64 a a) (*.f64 (+.f64 (exp.f64 b) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (-.f64 a (exp.f64 b)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (-.f64 a (exp.f64 b)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (-.f64 a (exp.f64 b)))) (/.f64 (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (-.f64 a (exp.f64 b)))) (fma.f64 (/.f64 (exp.f64 (+.f64 b b)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (-.f64 a (exp.f64 b)))) (/.f64 (exp.f64 (+.f64 b b)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (-.f64 a (exp.f64 b)))) (*.f64 (/.f64 (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (-.f64 a (exp.f64 b)))) (/.f64 (exp.f64 (+.f64 b b)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (-.f64 a (exp.f64 b))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
(*.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))))))
(*.f64 (-.f64 (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (-.f64 a (exp.f64 b)))))

simplify448.0ms (5.4%)

Memory
-4.5MiB live, 865.9MiB allocated
Algorithm
1×egg-herbie
Rules
16 278×accelerator-lowering-fma.f32
16 278×accelerator-lowering-fma.f64
5 972×+-lowering-+.f64
5 972×+-lowering-+.f32
4 628×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03532627
110842557
231992445
082672132
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
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 (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 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))))
1
(- (+ 1 (* 2 (/ 1 (pow a 2)))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))
(- (+ 1 (+ (* -2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))
(- (+ 1 (+ (* -1 (/ (+ (* -4 (- 2 (* 2 (+ 1 (exp b))))) (* 2 (* (+ 1 (exp b)) (- 2 (* 2 (+ 1 (exp b))))))) (pow a 4))) (* 2 (/ 1 (pow a 2))))) (+ (* 2 (/ (+ 1 (exp b)) (pow a 2))) (* 2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3)))))
1
(- (+ 1 (* 2 (/ 1 (pow a 2)))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))
(- (+ 1 (+ (* -2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))
(- (+ 1 (+ (* -1 (/ (- (+ (* -4 (/ (- 2 (* 2 (+ 1 (exp b)))) a)) (* 2 (/ (* (+ 1 (exp b)) (- 2 (* 2 (+ 1 (exp b))))) a))) (* -2 (- 2 (* 2 (+ 1 (exp b)))))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 2 (* a (+ 1 (* 1/2 a)))))
(+ (* -1 (* b (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a)))))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a)))))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (+ (* -1/2 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/6 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a)))))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* 1/2 a))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
1
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (+ b (* a (+ 1 (* 1/2 a)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/8 b) 1/4)))
(+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4)))
(/ 1 b)
(/ (- 1 (* 2 (/ 1 b))) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b)
(/ 1 b)
(* -1 (/ (- (* 2 (/ 1 b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) b))
2
(+ 2 b)
(+ 2 b)
(+ 2 b)
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
1
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))
(/ 6 (pow b 3))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))
(/ 6 (pow b 3))
(* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
1/2
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(exp b)
(+ a (exp b))
(+ (exp b) (* a (+ 1 (* 1/2 a))))
(+ (exp b) (* a (+ 1 (* 1/2 a))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ (exp b) (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ (exp b) (pow a 2)))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp b) a)) 1) a))))
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp b) a)) 1) a))))
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (+ b (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp b) (* a (+ 1 (* 1/2 a))))
(+ (exp b) (* a (+ 1 (* 1/2 a))))
(+ (exp b) (* a (+ 1 (* 1/2 a))))
(+ (exp b) (* a (+ 1 (* 1/2 a))))
(+ (exp b) (* a (+ 1 (* 1/2 a))))
(+ (exp b) (* a (+ 1 (* 1/2 a))))
(+ (exp b) (* a (+ 1 (* 1/2 a))))
(+ (exp b) (* a (+ 1 (* 1/2 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))))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 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 (+.f64 (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 -3/2 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)))) (/.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))))
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(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))
(+ (exp b) (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))
(+ (exp b) (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))

eval134.0ms (1.6%)

Memory
-15.9MiB live, 186.7MiB allocated
Compiler

Compiled 20 000 to 2 178 computations (89.1% saved)

prune100.0ms (1.2%)

Memory
1.7MiB live, 197.1MiB allocated
Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New73315748
Fresh268
Picked235
Done022
Total73726763
Accuracy
100.0%
Counts
763 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
41.4%
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
42.2%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
44.4%
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
▶44.3%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
44.5%
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
44.9%
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) #s(literal -4 binary64)))
51.4%
(/.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
19.9%
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
✓64.9%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶63.6%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
20.8%
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
14.3%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
▶21.4%
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b))
✓60.1%
(/.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)))
▶60.1%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
60.1%
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) b))
✓42.3%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓83.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
21.5%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))
35.6%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -2 binary64) (*.f64 b b))) b) #s(literal -1/6 binary64)) (neg.f64 (*.f64 b (*.f64 b b)))))
36.2%
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64))))))
20.8%
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
3.9%
(/.f64 #s(literal 1 binary64) b)
▶26.6%
#s(literal 1 binary64)
✓44.1%
#s(literal 1/2 binary64)
Compiler

Compiled 619 to 415 computations (33% saved)

simplify38.0ms (0.5%)

Memory
34.6MiB live, 71.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
✓cost-diff0
(fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓cost-diff0
(*.f64 b b)
✓cost-diff0
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b))
✓cost-diff0
(*.f64 a a)
✓cost-diff0
(fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))
✓cost-diff0
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(/.f64 (exp.f64 a) #s(literal 2 binary64))
Rules
1 148×accelerator-lowering-fma.f32
1 148×accelerator-lowering-fma.f64
594×*-lowering-*.f32
594×*-lowering-*.f64
386×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033166
170166
2135166
3279166
4434166
5540166
6741166
7971166
81015166
01015143
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (exp a) 2)
(exp a)
a
2
1
(+ (* a (+ (* -1/48 (* a a)) 1/4)) 1/2)
a
(+ (* -1/48 (* a a)) 1/4)
-1/48
(* a a)
1/4
1/2
(/ 1 (+ (* (+ (* b 1/6) 1/2) (* b b)) b))
1
(+ (* (+ (* b 1/6) 1/2) (* b b)) b)
(+ (* b 1/6) 1/2)
b
1/6
1/2
(* b b)
(/ 1 (+ (* b (+ (* b (/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))) 1)) 2))
1
(+ (* b (+ (* b (/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))) 1)) 2)
b
(+ (* b (/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))) 1)
(/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))
(+ (* (* b b) 1/36) -1/4)
(* b b)
1/36
-1/4
(+ (* b 1/6) -1/2)
1/6
-1/2
2
Outputs
(/ (exp a) 2)
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(exp a)
(exp.f64 a)
a
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(+ (* a (+ (* -1/48 (* a a)) 1/4)) 1/2)
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
a
(+ (* -1/48 (* a a)) 1/4)
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
-1/48
#s(literal -1/48 binary64)
(* a a)
(*.f64 a a)
1/4
#s(literal 1/4 binary64)
1/2
#s(literal 1/2 binary64)
(/ 1 (+ (* (+ (* b 1/6) 1/2) (* b b)) b))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b))
1
#s(literal 1 binary64)
(+ (* (+ (* b 1/6) 1/2) (* b b)) b)
(fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)
(+ (* b 1/6) 1/2)
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
b
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(* b b)
(*.f64 b b)
(/ 1 (+ (* b (+ (* b (/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))) 1)) 2))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ (* b (+ (* b (/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))) 1)) 2)
(fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(+ (* b (/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))) 1)
(fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(+ (* (* b b) 1/36) -1/4)
(fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* b b)
(*.f64 b b)
1/36
#s(literal 1/36 binary64)
-1/4
#s(literal -1/4 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)
2
#s(literal 2 binary64)

localize95.0ms (1.2%)

Memory
5.7MiB live, 164.0MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
✓accuracy99.7%
(fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓accuracy80.6%
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 b b)
✓accuracy100.0%
(fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)
✓accuracy99.7%
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b))
✓accuracy100.0%
(*.f64 a a)
✓accuracy100.0%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓accuracy100.0%
(fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))
✓accuracy100.0%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
✓accuracy100.0%
(exp.f64 a)
Samples
61.0ms256×0valid
Compiler

Compiled 145 to 35 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 15.0ms (34.2% of total)
ival-add: 9.0ms (20.5% of total)
const: 9.0ms (20.5% of total)
ival-div: 8.0ms (18.2% of total)
ival-exp: 2.0ms (4.6% of total)
exact: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-32.8MiB live, 9.3MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (/ (exp a) 2)>
#<alt (exp a)>
#<alt (+ (* a (+ (* -1/48 (* a a)) 1/4)) 1/2)>
#<alt (+ (* -1/48 (* a a)) 1/4)>
#<alt (* a a)>
#<alt (/ 1 (+ (* (+ (* b 1/6) 1/2) (* b b)) b))>
#<alt (+ (* (+ (* b 1/6) 1/2) (* b b)) b)>
#<alt (+ (* b 1/6) 1/2)>
#<alt (* b b)>
#<alt (/ 1 (+ (* b (+ (* b (/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))) 1)) 2))>
#<alt (+ (* b (+ (* b (/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))) 1)) 2)>
#<alt (+ (* b (/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))) 1)>
#<alt (/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))>
#<alt (+ (* b 1/6) -1/2)>
#<alt (+ (* (* b b) 1/36) -1/4)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 a))>
#<alt (+ 1/2 (* a (+ 1/2 (* 1/4 a))))>
#<alt (+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt 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 (* -1/48 (pow a 2)))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* -1/2 b)) b)>
#<alt (/ (+ 1 (* b (- (* 1/12 b) 1/2))) b)>
#<alt (/ (+ 1 (* b (- (* b (+ 1/12 (* 1/24 b))) 1/2))) b)>
#<alt (/ 6 (pow b 3))>
#<alt (/ (- 6 (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (+ (* 54 (/ 1 (pow b 3))) (/ 18 (pow b 2)))) (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ 6 (pow b 3))>
#<alt (* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* 18 (/ 1 b)) (/ 54 (pow b 2))) 18) b)) 6) (pow b 3)))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))>
#<alt (* 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)))))>
#<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)) b)) 1/6)))>
#<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 (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 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))>
#<alt (/ 6 (pow b 3))>
#<alt (/ (- 6 (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))>
#<alt (/ 6 (pow b 3))>
#<alt (* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (* 1/6 b)>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* 1/6 b)>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt -1/2>
#<alt (- (* 1/6 b) 1/2)>
#<alt (- (* 1/6 b) 1/2)>
#<alt (- (* 1/6 b) 1/2)>
#<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 (* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))>
#<alt -1/4>
#<alt (- (* 1/36 (pow b 2)) 1/4)>
#<alt (- (* 1/36 (pow b 2)) 1/4)>
#<alt (- (* 1/36 (pow b 2)) 1/4)>
#<alt (* 1/36 (pow b 2))>
#<alt (* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* 1/36 (pow b 2))>
#<alt (* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))>
Calls

45 calls:

TimeVariablePointExpression
3.0ms
b
@inf
(/ 1 (+ (* (+ (* b 1/6) 1/2) (* b b)) b))
0.0ms
a
@-inf
(+ (* a (+ (* -1/48 (* a a)) 1/4)) 1/2)
0.0ms
b
@inf
(+ (* b (/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))) 1)
0.0ms
a
@inf
(+ (* a (+ (* -1/48 (* a a)) 1/4)) 1/2)
0.0ms
b
@inf
(/ 1 (+ (* b (+ (* b (/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))) 1)) 2))

rewrite319.0ms (3.9%)

Memory
10.7MiB live, 446.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 296×accelerator-lowering-fma.f32
5 296×accelerator-lowering-fma.f64
4 412×/-lowering-/.f32
4 412×/-lowering-/.f64
3 548×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033137
1199113
21596113
0827494
Stop Event
1×iter limit
1×node limit
Counts
15 → 753
Calls
Call 1
Inputs
(/ (exp a) 2)
(exp a)
(+ (* a (+ (* -1/48 (* a a)) 1/4)) 1/2)
(+ (* -1/48 (* a a)) 1/4)
(* a a)
(/ 1 (+ (* (+ (* b 1/6) 1/2) (* b b)) b))
(+ (* (+ (* b 1/6) 1/2) (* b b)) b)
(+ (* b 1/6) 1/2)
(* b b)
(/ 1 (+ (* b (+ (* b (/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))) 1)) 2))
(+ (* b (+ (* b (/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))) 1)) 2)
(+ (* b (/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))) 1)
(/ (+ (* (* b b) 1/36) -1/4) (+ (* b 1/6) -1/2))
(+ (* b 1/6) -1/2)
(+ (* (* b b) 1/36) -1/4)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 a) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (exp.f64 a) #s(literal -1/2 binary64)))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (exp.f64 a)) #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a))) #s(literal -1 binary64))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (exp.f64 a) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a))))))
(*.f64 (neg.f64 (exp.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)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(+.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a #s(literal 1/4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))))) (/.f64 (*.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))))))
(fma.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a a) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/110592 binary64))) (*.f64 a (*.f64 a a)) (*.f64 #s(literal 1/64 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))) (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal 1/4 binary64)))))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/110592 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/16 binary64)) (*.f64 (*.f64 a a) #s(literal -1/192 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a (fma.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/110592 binary64)) #s(literal 1/64 binary64)) a) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/16 binary64)) (*.f64 (*.f64 a a) #s(literal -1/192 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/16 binary64)) a) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))) (*.f64 a (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))) (*.f64 a (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) #s(literal -1/4 binary64)) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))) (*.f64 a (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/1296 binary64)) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/1296 binary64)) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/1296 binary64)) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/1296 binary64)) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/1296 binary64)) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/1296 binary64)) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) (*.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/1296 binary64)) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/36 binary64)))))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64))))))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/1296 binary64) (neg.f64 (*.f64 (*.f64 b b) #s(literal -1/144 binary64)))))))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/1296 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal 1/36 binary64))) #s(literal 1/4 binary64))))))
(*.f64 (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/1296 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/36 binary64))))))

simplify286.0ms (3.5%)

Memory
2.5MiB live, 406.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 358×accelerator-lowering-fma.f32
8 358×accelerator-lowering-fma.f64
4 408×*-lowering-*.f32
4 408×*-lowering-*.f64
2 390×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951185
15641170
216031160
350671144
084591029
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/2 a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
1/4
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(/ 1 b)
(/ (+ 1 (* -1/2 b)) b)
(/ (+ 1 (* b (- (* 1/12 b) 1/2))) b)
(/ (+ 1 (* b (- (* b (+ 1/12 (* 1/24 b))) 1/2))) b)
(/ 6 (pow b 3))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (+ (* 54 (/ 1 (pow b 3))) (/ 18 (pow b 2)))) (* 18 (/ 1 b))) (pow b 3))
(/ 6 (pow b 3))
(* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* 18 (/ 1 b)) (/ 54 (pow b 2))) 18) b)) 6) (pow b 3)))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(* 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)))))
(* 1/6 (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)) b)) 1/6)))
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))))
(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)
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))
(/ 6 (pow b 3))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))
(/ 6 (pow b 3))
(* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
1/2
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
-1/2
(- (* 1/6 b) 1/2)
(- (* 1/6 b) 1/2)
(- (* 1/6 b) 1/2)
(* 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)
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))
-1/4
(- (* 1/36 (pow b 2)) 1/4)
(- (* 1/36 (pow b 2)) 1/4)
(- (* 1/36 (pow b 2)) 1/4)
(* 1/36 (pow b 2))
(* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))
(* 1/36 (pow b 2))
(* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(*.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))))))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))))))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(*.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a)))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a)))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/48 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* -1/48 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* -1/48 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* -1/2 b)) b)
(/.f64 (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (* 1/12 b) 1/2))) b)
(/.f64 (fma.f64 b (fma.f64 #s(literal 1/12 binary64) b #s(literal -1/2 binary64)) #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (* b (+ 1/12 (* 1/24 b))) 1/2))) b)
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/24 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) b)
(/ 6 (pow b 3))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -18 binary64) b)) b)) (*.f64 b (*.f64 b b)))
(/ (- (+ 6 (+ (* 54 (/ 1 (pow b 3))) (/ 18 (pow b 2)))) (* 18 (/ 1 b))) (pow b 3))
(/.f64 (+.f64 (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -18 binary64) b)) b)) (/.f64 #s(literal 54 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b (*.f64 b b)))
(/ 6 (pow b 3))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -18 binary64) b)) b)) (*.f64 b (*.f64 b b)))
(* -1 (/ (- (* -1 (/ (- (+ (* 18 (/ 1 b)) (/ 54 (pow b 2))) 18) b)) 6) (pow b 3)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) b) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 b b)) #s(literal -18 binary64))) b)) (*.f64 b (*.f64 b b)))
b
(* b (+ 1 (* 1/2 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)
(* 1/6 (pow b 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)
(* 1/6 (pow b 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))
(fma.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/96 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 6 (pow b 3))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -18 binary64) b)) b)) (*.f64 b (*.f64 b b)))
(/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -18 binary64) b)) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b))) (*.f64 b (*.f64 b b)))
(/ 6 (pow b 3))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -18 binary64) b)) b)) (*.f64 b (*.f64 b b)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -18 binary64) b)) b) #s(literal -18 binary64)) b)) (*.f64 b (*.f64 b b)))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/6 (pow b 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/6 (pow b 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(*.f64 b (*.f64 (*.f64 b b) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) b))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #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 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #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 #s(literal 1/6 binary64) b #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 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #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 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 b) 1/2)
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(- (* 1/6 b) 1/2)
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(- (* 1/6 b) 1/2)
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (- 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(* b (- 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(* b (- 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* 1/36 (pow b 2)) 1/4)
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(- (* 1/36 (pow b 2)) 1/4)
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(- (* 1/36 (pow b 2)) 1/4)
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(* 1/36 (pow b 2))
(*.f64 b (*.f64 b #s(literal 1/36 binary64)))
(* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(* 1/36 (pow b 2))
(*.f64 b (*.f64 b #s(literal 1/36 binary64)))
(* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(* (pow b 2) (- 1/36 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/36 binary64)) #s(literal -1/4 binary64))

eval139.0ms (1.7%)

Memory
-6.1MiB live, 261.1MiB allocated
Compiler

Compiled 27 715 to 3 074 computations (88.9% saved)

prune123.0ms (1.5%)

Memory
25.4MiB live, 221.9MiB allocated
Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New9458953
Fresh7916
Picked325
Done145
Total95623979
Accuracy
100.0%
Counts
979 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
41.4%
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
42.2%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
44.4%
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓44.3%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
44.5%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
43.9%
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
44.9%
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)))
✓64.9%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
20.8%
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
14.3%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
62.2%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
13.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) b) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
✓42.3%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓83.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
21.5%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))
36.2%
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64))))))
36.2%
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) b)))))
3.9%
(/.f64 #s(literal 1 binary64) b)
63.6%
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
15.4%
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
✓26.6%
#s(literal 1 binary64)
✓44.1%
#s(literal 1/2 binary64)
Compiler

Compiled 765 to 328 computations (57.1% saved)

regimes59.0ms (0.7%)

Memory
3.8MiB live, 77.9MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 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 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) b))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) b) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 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 -2 binary64)) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) #s(literal -4 binary64)))
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -2 binary64) (*.f64 b b))) b) #s(literal -1/6 binary64)) (neg.f64 (*.f64 b (*.f64 b b)))))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))))
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 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))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

14.0ms
b
12.0ms
a
11.0ms
(exp.f64 a)
10.0ms
(exp.f64 b)
9.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
98.8%1a
98.8%1b
98.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%1(exp.f64 a)
98.8%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes64.0ms (0.8%)

Memory
-24.3MiB live, 69.9MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 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 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) b))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) b) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 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 -2 binary64)) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) #s(literal -4 binary64)))
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -2 binary64) (*.f64 b b))) b) #s(literal -1/6 binary64)) (neg.f64 (*.f64 b (*.f64 b b)))))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))))
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 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))))
Outputs
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
Calls

5 calls:

18.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms
a
12.0ms
b
9.0ms
(exp.f64 b)
9.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.5%2a
98.4%2b
95.7%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.5%2(exp.f64 a)
98.4%2(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes23.0ms (0.3%)

Memory
5.1MiB live, 42.2MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 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 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) b))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) b) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 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 -2 binary64)) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) #s(literal -4 binary64)))
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -2 binary64) (*.f64 b b))) b) #s(literal -1/6 binary64)) (neg.f64 (*.f64 b (*.f64 b b)))))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))))
Outputs
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))))
Calls

2 calls:

12.0ms
a
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.4%2a
99.4%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes20.0ms (0.2%)

Memory
25.6MiB live, 25.6MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 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 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) b))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) b) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 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 -2 binary64)) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) #s(literal -4 binary64)))
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -2 binary64) (*.f64 b b))) b) #s(literal -1/6 binary64)) (neg.f64 (*.f64 b (*.f64 b b)))))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Outputs
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Calls

2 calls:

10.0ms
a
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.7%2a
98.7%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes51.0ms (0.6%)

Memory
-1.0MiB live, 80.1MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 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 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) b))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) b) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 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 -2 binary64)) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) #s(literal -4 binary64)))
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -2 binary64) (*.f64 b b))) b) #s(literal -1/6 binary64)) (neg.f64 (*.f64 b (*.f64 b b)))))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
Outputs
#s(literal 1 binary64)
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
Calls

5 calls:

11.0ms
(exp.f64 b)
10.0ms
a
10.0ms
b
9.0ms
(exp.f64 a)
8.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
78.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
95.5%3b
94.2%3(exp.f64 b)
79.2%2a
79.2%2(exp.f64 a)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes38.0ms (0.5%)

Memory
-9.3MiB live, 66.9MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 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 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) b))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) b) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 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 -2 binary64)) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) #s(literal -4 binary64)))
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -2 binary64) (*.f64 b b))) b) #s(literal -1/6 binary64)) (neg.f64 (*.f64 b (*.f64 b b)))))
Outputs
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
Calls

4 calls:

11.0ms
a
11.0ms
b
8.0ms
(exp.f64 b)
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
62.2%1(exp.f64 a)
62.2%1a
79.2%2(exp.f64 b)
79.2%2b
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes21.0ms (0.3%)

Memory
-4.2MiB live, 33.5MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 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 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) b))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
Outputs
#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)))
Calls

3 calls:

8.0ms
b
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
76.7%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
77.1%2b
77.1%2(exp.f64 b)
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes20.0ms (0.2%)

Memory
-5.8MiB live, 37.1MiB allocated
Counts
20 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 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 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
Outputs
#s(literal 1 binary64)
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
Calls

3 calls:

8.0ms
b
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
76.7%3(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
79.7%4b
77.2%3(exp.f64 b)
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes7.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
19 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 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 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b))
(fma.f64 a (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
Outputs
#s(literal 1 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 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
79.6%4b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
13 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 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 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
Outputs
#s(literal 1 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 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

3 calls:

4.0ms
b
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
71.2%3(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
71.4%3(exp.f64 b)
75.3%4b
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes18.0ms (0.2%)

Memory
-25.0MiB live, 14.1MiB allocated
Counts
12 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 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 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
Outputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

1 calls:

18.0ms
b
Results
AccuracySegmentsBranch
75.1%4b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 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 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
Outputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
Calls

2 calls:

4.0ms
b
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
71.3%3(exp.f64 b)
71.3%3b
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.2%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 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
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
Calls

5 calls:

3.0ms
a
3.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
44.5%1(exp.f64 a)
44.5%1a
59.4%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
59.4%2(exp.f64 b)
59.4%2b
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes24.0ms (0.3%)

Memory
-25.3MiB live, 12.9MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 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 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

3 calls:

18.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
58.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
58.8%2(exp.f64 b)
58.8%2b
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
Outputs
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

3 calls:

2.0ms
b
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
58.8%2b
58.8%2(exp.f64 b)
58.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
Calls

3 calls:

1.0ms
b
1.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
58.4%2b
58.4%2(exp.f64 b)
58.4%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes7.0ms (0.1%)

Memory
-22.1MiB live, 16.2MiB 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:

2.0ms
(exp.f64 a)
1.0ms
b
1.0ms
a
1.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
44.1%1a
44.1%1(exp.f64 a)
44.1%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
44.1%1b
44.1%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9998887249639291
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9998887249639291
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9998887249639291
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch24.0ms (0.3%)

Memory
-11.7MiB live, 30.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
6.672625609789558e+66
2.3218750260422547e+67
12.0ms
-0.0011287936509439991
-4.170492277114646e-12
Samples
11.0ms224×0valid
Compiler

Compiled 242 to 201 computations (16.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 4.0ms (62.4% of total)
ival-div: 1.0ms (15.6% of total)
ival-add: 1.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
22.1MiB live, 22.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-0.0011287936509439991
-4.170492277114646e-12
Samples
7.0ms144×0valid
Compiler

Compiled 220 to 173 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 3.0ms (70.4% of total)
ival-div: 1.0ms (23.5% of total)
ival-add: 1.0ms (23.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9988718431969634
0.9999999999958296
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch44.0ms (0.5%)

Memory
-6.0MiB live, 68.7MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
5.230594081409185e+99
8.919320635617819e+104
14.0ms
0.04529923474149892
238928.38530713454
13.0ms
-0.0011287936509439991
-4.170492277114646e-12
Samples
21.0ms432×0valid
Compiler

Compiled 625 to 434 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 7.0ms (57% of total)
ival-div: 3.0ms (24.4% of total)
ival-add: 2.0ms (16.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch51.0ms (0.6%)

Memory
-7.6MiB live, 74.9MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
5.230594081409185e+99
8.919320635617819e+104
14.0ms
0.04529923474149892
238928.38530713454
13.0ms
-0.0011287936509439991
-4.170492277114646e-12
Samples
32.0ms432×0valid
Compiler

Compiled 535 to 398 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-exp: 17.0ms (73.9% of total)
ival-div: 4.0ms (17.4% of total)
ival-add: 2.0ms (8.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.5%)

Memory
26.2MiB live, 64.6MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
2.770135591767204e+145
9.214146063016195e+149
14.0ms
0.04529923474149892
238928.38530713454
12.0ms
-0.0011287936509439991
-4.170492277114646e-12
Samples
20.0ms416×0valid
Compiler

Compiled 499 to 376 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 7.0ms (60% of total)
ival-div: 3.0ms (25.7% of total)
ival-add: 2.0ms (17.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.5%)

Memory
-11.5MiB live, 65.3MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.770135591767204e+145
9.214146063016195e+149
12.0ms
0.04529923474149892
238928.38530713454
13.0ms
-0.0011287936509439991
-4.170492277114646e-12
Samples
23.0ms416×0valid
Compiler

Compiled 409 to 322 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-exp: 7.0ms (49.5% of total)
ival-div: 4.0ms (28.3% of total)
ival-add: 3.0ms (21.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Memory
8.4MiB live, 51.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.04529923474149892
238928.38530713454
12.0ms
-0.0011287936509439991
-4.170492277114646e-12
Samples
14.0ms288×0valid
Compiler

Compiled 265 to 218 computations (17.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 5.0ms (59.9% of total)
ival-div: 2.0ms (24% of total)
ival-add: 1.0ms (12% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
-20.6MiB live, 17.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-0.0011287936509439991
-4.170492277114646e-12
Samples
9.0ms144×0valid
Compiler

Compiled 121 to 110 computations (9.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 4.0ms (68.9% of total)
ival-div: 1.0ms (17.2% of total)
ival-add: 1.0ms (17.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.7075496127730688
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
0.7075496127730688
1.0
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.9988718431969634
0.9999999999958296
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify11.0ms (0.1%)

Memory
23.8MiB live, 23.8MiB allocated
Algorithm
1×egg-herbie
Rules
12×*-commutative_binary64
8×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102361
1114361
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 22999999999999998555341469391335664361250212522804475751354991640576 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 b) #s(literal 8998192055486251/9007199254740992 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))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 5/2 binary64)) (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 5600000000000000368800510695160527274684567378396080134784128255846880772676400396457760261629840195584 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b))))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 340 binary64)) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 5600000000000000368800510695160527274684567378396080134784128255846880772676400396457760261629840195584 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b))))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 340 binary64)) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 899999999999999964581068447803464867782712815427173554941014311955738593946055745162686238919650953611655586395469265877447288941433115215044995448832 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 899999999999999964581068447803464867782712815427173554941014311955738593946055745162686238919650953611655586395469265877447288941433115215044995448832 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 6373040344861863/9007199254740992 binary64)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 6373040344861863/9007199254740992 binary64)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (exp.f64 b) #s(literal 8998192055486251/9007199254740992 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 22999999999999998555341469391335664361250212522804475751354991640576 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 b) #s(literal 8998192055486251/9007199254740992 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))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 5/2 binary64)) (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 5600000000000000368800510695160527274684567378396080134784128255846880772676400396457760261629840195584 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b))))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 340 binary64)) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 5600000000000000368800510695160527274684567378396080134784128255846880772676400396457760261629840195584 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b))))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 340 binary64)) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 899999999999999964581068447803464867782712815427173554941014311955738593946055745162686238919650953611655586395469265877447288941433115215044995448832 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 899999999999999964581068447803464867782712815427173554941014311955738593946055745162686238919650953611655586395469265877447288941433115215044995448832 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 6373040344861863/9007199254740992 binary64)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 6373040344861863/9007199254740992 binary64)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (exp.f64 b) #s(literal 8998192055486251/9007199254740992 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

soundness1.7s (21.1%)

Memory
16.8MiB live, 1 317.9MiB allocated
Rules
18 438×accelerator-lowering-fma.f32
18 438×accelerator-lowering-fma.f64
16 278×accelerator-lowering-fma.f32
16 278×accelerator-lowering-fma.f64
15 636×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951185
15641170
216031160
350671144
084591029
033137
1199113
21596113
0827494
03422903
110122842
231822772
081752473
031133
1238133
21824133
08139108
0120740
1332725
2963708
33702677
08342640
03532627
110842557
231992445
082672132
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 1 525 to 899 computations (41% saved)

preprocess103.0ms (1.3%)

Memory
18.3MiB live, 207.3MiB allocated
Compiler

Compiled 766 to 230 computations (70% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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