Quotient of sum of exps

Time bar (total: 9.1s)

analyze5.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%1.6%0%7
96%93.7%3.9%0.1%0%2.3%0%8
97.2%93.7%2.7%0.1%0%3.5%0%9
97.8%93.7%2.1%0.1%0%4.1%0%10
98.5%93.7%1.5%0.1%0%4.8%0%11
98.8%93.7%1.1%0.1%0%5.1%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.1s (12.2%)

Memory
14.9MiB live, 1 162.7MiB allocated
Samples
595.0ms8 256×0valid
169.0ms3 056×0exit
Precisions
Click to see histograms. Total time spent on operations: 329.0ms
ival-exp: 185.0ms (56.2% of total)
ival-div: 78.0ms (23.7% of total)
ival-add: 54.0ms (16.4% of total)
ival-true: 8.0ms (2.4% of total)
ival-assert: 4.0ms (1.2% of total)
Bogosity

preprocess99.0ms (1.1%)

Memory
-9.9MiB live, 28.4MiB 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
0108
1118
0118
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

explain73.0ms (0.8%)

Memory
29.9MiB live, 111.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))o/o10
↳(exp.f64 a)overflow1
↳(+.f64 (exp.f64 a) (exp.f64 b))overflow65
↳(exp.f64 a)overflow1
↳(exp.f64 b)overflow64
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))u/u10
↳(exp.f64 a)underflow74
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow1
↳(exp.f64 a)underflow74
↳(exp.f64 b)underflow55
Confusion
Predicted +Predicted -
+20
-0254
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-00254
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
26.0ms512×0valid
Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-exp: 7.0ms (52.1% of total)
ival-div: 3.0ms (22.3% of total)
ival-add: 2.0ms (14.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0%)

Memory
-36.9MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify4.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize19.0ms (0.2%)

Memory
28.9MiB live, 28.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
12.0ms256×0valid
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 (60.3% of total)
ival-div: 2.0ms (30.2% of total)
ival-add: 1.0ms (15.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-26.5MiB live, 10.5MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))>
#<alt (+.f64 (exp.f64 a) (exp.f64 b))>
#<alt (exp.f64 a)>
#<alt (exp.f64 b)>
Outputs
#<alt (/ 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 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
Calls

18 calls:

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

rewrite341.0ms (3.7%)

Memory
27.1MiB live, 456.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 200×lower-/.f32
5 198×lower-/.f64
4 032×lower-fma.f64
4 032×lower-fma.f32
3 280×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

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

simplify488.0ms (5.3%)

Memory
0.8MiB live, 640.6MiB allocated
Algorithm
1×egg-herbie
Rules
18 438×lower-fma.f64
18 438×lower-fma.f32
4 430×lower-*.f64
4 430×lower-*.f32
2 966×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120740
1332725
2966708
33696677
08316640
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 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.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 #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 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 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 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 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) a))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)

eval44.0ms (0.5%)

Memory
5.9MiB live, 82.0MiB allocated
Compiler

Compiled 11 132 to 1 166 computations (89.5% saved)

prune46.0ms (0.5%)

Memory
-18.0MiB live, 98.7MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4085413
Fresh000
Picked101
Done000
Total4095414
Accuracy
100.0%
Counts
414 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.2%
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
▶99.2%
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))
▶67.0%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64))))
▶80.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Compiler

Compiled 148 to 96 computations (35.1% saved)

simplify460.0ms (5%)

Memory
-7.4MiB live, 280.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
✓cost-diff0
(exp.f64 a)
✓cost-diff448
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
✓cost-diff6208
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))
✓cost-diff0
(exp.f64 a)
✓cost-diff832
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
✓cost-diff12608
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))
✓cost-diff0
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓cost-diff0
(exp.f64 a)
✓cost-diff6272
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓cost-diff0
(exp.f64 b)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓cost-diff0
(-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64))))
✓cost-diff320
(*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64))
✓cost-diff13568
(/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)))
Rules
5 224×lower-fma.f32
5 222×lower-fma.f64
2 144×lower-*.f32
2 138×lower-*.f64
1 568×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032205
061196
1105185
2217179
3538179
41339179
52812179
64008179
74839179
85586179
96015179
106172179
116973179
127738179
08071177
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)))
(-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))
(neg.f64 (exp.f64 a))
(exp.f64 a)
a
(exp.f64 b)
b
(*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))
(exp.f64 a)
a
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
#s(literal 1 binary64)
(exp.f64 (neg.f64 a))
(neg.f64 a)
(exp.f64 b)
b
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(exp.f64 a)
a
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(exp.f64 (+.f64 b b))
(+.f64 b b)
b
(exp.f64 (+.f64 a b))
(+.f64 a b)
(exp.f64 (*.f64 a #s(literal 3 binary64)))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(*.f64 b #s(literal 3 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
#s(literal 1 binary64)
(/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))
(neg.f64 (exp.f64 a))
(exp.f64 a)
a
(exp.f64 b)
b
(*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64))
(neg.f64 (exp.f64 a))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp.f64 a)
a
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp.f64 a)
#s(literal 1 binary64)
(exp.f64 (neg.f64 a))
(neg.f64 a)
(exp.f64 b)
b
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (fma.f64 b #s(literal 3 binary64) (neg.f64 a)))))
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(+.f64 (exp.f64 (+.f64 a (+.f64 b b))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 a (+.f64 a b)))))
(exp.f64 a)
a
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(exp.f64 (+.f64 b b))
(+.f64 b b)
b
(exp.f64 (+.f64 a b))
(+.f64 a b)
(exp.f64 (*.f64 a #s(literal 3 binary64)))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(*.f64 b #s(literal 3 binary64))

localize131.0ms (1.4%)

Memory
39.2MiB live, 195.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))
✓accuracy99.7%
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
✓accuracy99.2%
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
✓accuracy69.0%
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
✓accuracy99.2%
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓accuracy99.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64))))
✓accuracy100.0%
(-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))
✓accuracy99.2%
(/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)))
Samples
34.0ms67×1valid
26.0ms112×0exit
15.0ms63×0valid
11.0ms14×2valid
Compiler

Compiled 209 to 35 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-exp: 21.0ms (33.5% of total)
ival-div: 12.0ms (19.2% of total)
ival-add: 10.0ms (16% of total)
ival-mult: 8.0ms (12.8% of total)
adjust: 6.0ms (9.6% of total)
ival-sub: 3.0ms (4.8% of total)
ival-neg: 2.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory
1.4MiB live, 39.8MiB allocated
Counts
16 → 300
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)))>
#<alt (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64))))>
#<alt (exp.f64 a)>
#<alt (exp.f64 b)>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 b))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))>
#<alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))>
#<alt (+.f64 (exp.f64 a) #s(literal 1 binary64))>
#<alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))>
#<alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))>
#<alt (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))>
#<alt (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))>
#<alt (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))>
Outputs
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ (exp b) (* -1 (* a (exp b)))))>
#<alt (+ 1 (+ (exp b) (* a (- (* a (- 1/2 (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))>
#<alt (+ 1 (+ (exp b) (* a (- (* a (- (+ 1/2 (* a (- (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))) (+ 1/3 (+ (* -1/2 (exp b)) (* 1/6 (+ 1 (exp b)))))))) (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ 1 (exp a)) (exp a))>
#<alt (+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))>
#<alt (+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))>
#<alt (+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (* -1 (+ 1 (exp b)))>
#<alt (- (* -1 a) (+ 1 (exp b)))>
#<alt (- (* a (- (* -1/2 a) 1)) (+ 1 (exp b)))>
#<alt (- (* a (- (* a (- (* -1/6 a) 1/2)) 1)) (+ 1 (exp b)))>
#<alt (* -1 (+ (exp a) (exp b)))>
#<alt (* -1 (+ (exp a) (exp b)))>
#<alt (* -1 (+ (exp a) (exp b)))>
#<alt (* -1 (+ (exp a) (exp b)))>
#<alt (* -1 (+ (exp a) (exp b)))>
#<alt (* -1 (+ (exp a) (exp b)))>
#<alt (* -1 (+ (exp a) (exp b)))>
#<alt (* -1 (+ (exp a) (exp b)))>
#<alt (* -1 (+ 1 (exp a)))>
#<alt (- (* -1 b) (+ 1 (exp a)))>
#<alt (- (* b (- (* -1/2 b) 1)) (+ 1 (exp a)))>
#<alt (- (* b (- (* b (- (* -1/6 b) 1/2)) 1)) (+ 1 (exp a)))>
#<alt (* -1 (+ (exp a) (exp b)))>
#<alt (* -1 (+ (exp a) (exp b)))>
#<alt (* -1 (+ (exp a) (exp b)))>
#<alt (* -1 (+ (exp a) (exp b)))>
#<alt (* -1 (+ (exp a) (exp b)))>
#<alt (* -1 (+ (exp a) (exp b)))>
#<alt (* -1 (+ (exp a) (exp b)))>
#<alt (* -1 (+ (exp a) (exp b)))>
#<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>
#<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 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 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (/ 1 (+ 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 b) (/ 1 (exp (neg a)))))>
#<alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a)))))>
#<alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a)))))>
#<alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a)))))>
#<alt (/ (exp a) (+ (exp b) (/ 1 (exp (* -1 a)))))>
#<alt (/ (exp a) (+ (exp b) (/ 1 (exp (* -1 a)))))>
#<alt (/ (exp a) (+ (exp b) (/ 1 (exp (* -1 a)))))>
#<alt (/ (exp a) (+ (exp b) (/ 1 (exp (* -1 a)))))>
#<alt (/ (exp a) (+ 1 (/ 1 (exp (neg a)))))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (/ 1 (exp (neg a)))) 2))) (/ (exp a) (+ 1 (/ 1 (exp (neg a))))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2)))))) (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2)))) (/ (exp a) (+ 1 (/ 1 (exp (neg a))))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2)))) (+ 1 (/ 1 (exp (neg a)))))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2)))))) (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2)))) (/ (exp a) (+ 1 (/ 1 (exp (neg a))))))>
#<alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a)))))>
#<alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a)))))>
#<alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a)))))>
#<alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a)))))>
#<alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a)))))>
#<alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a)))))>
#<alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a)))))>
#<alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a)))))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (/ 1 (exp (neg a)))>
#<alt (/ 1 (exp (neg a)))>
#<alt (/ 1 (exp (neg a)))>
#<alt (/ 1 (exp (neg a)))>
#<alt (/ 1 (exp (* -1 a)))>
#<alt (/ 1 (exp (* -1 a)))>
#<alt (/ 1 (exp (* -1 a)))>
#<alt (/ 1 (exp (* -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 b) (/ 1 (exp (neg a))))>
#<alt (+ (exp b) (/ 1 (exp (neg a))))>
#<alt (+ (exp b) (/ 1 (exp (neg a))))>
#<alt (+ (exp b) (/ 1 (exp (neg a))))>
#<alt (+ (exp b) (/ 1 (exp (* -1 a))))>
#<alt (+ (exp b) (/ 1 (exp (* -1 a))))>
#<alt (+ (exp b) (/ 1 (exp (* -1 a))))>
#<alt (+ (exp b) (/ 1 (exp (* -1 a))))>
#<alt (+ 1 (/ 1 (exp (neg a))))>
#<alt (+ 1 (+ b (/ 1 (exp (neg a)))))>
#<alt (+ 1 (+ (* b (+ 1 (* 1/2 b))) (/ 1 (exp (neg a)))))>
#<alt (+ 1 (+ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) (/ 1 (exp (neg a)))))>
#<alt (+ (exp b) (/ 1 (exp (neg a))))>
#<alt (+ (exp b) (/ 1 (exp (neg a))))>
#<alt (+ (exp b) (/ 1 (exp (neg a))))>
#<alt (+ (exp b) (/ 1 (exp (neg a))))>
#<alt (+ (exp b) (/ 1 (exp (neg a))))>
#<alt (+ (exp b) (/ 1 (exp (neg a))))>
#<alt (+ (exp b) (/ 1 (exp (neg a))))>
#<alt (+ (exp b) (/ 1 (exp (neg a))))>
#<alt (- 1 (exp a))>
#<alt (- (+ 1 (* b (- 2 (exp a)))) (exp a))>
#<alt (- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a))>
#<alt (- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))>
#<alt (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))>
#<alt (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))>
#<alt (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))>
#<alt (- (exp (* 2 b)) (exp b))>
#<alt (- (+ (exp (* 2 b)) (* -1 (* a (exp b)))) (exp b))>
#<alt (- (+ (exp (* 2 b)) (* a (- (* -1/2 (* a (exp b))) (exp b)))) (exp b))>
#<alt (- (+ (exp (* 2 b)) (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b)))) (exp b))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
#<alt (/ (- (+ 1 (exp (* 2 b))) (exp b)) (+ 1 (exp (* 3 b))))>
#<alt (- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))>
#<alt (- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))>
#<alt (- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ 1 (+ 1 (exp (* 3 b))))) (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/6 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/6 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))))) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (* 9/2 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))))))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (+ 1 (exp (* 3 a))))>
#<alt (+ (* b (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))>
#<alt (+ (* b (- (+ (* b (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))>
#<alt (+ (* b (- (+ (* b (- (+ (* b (- (/ (* (exp a) (- 4/3 (* 1/6 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ 1 (exp (* 3 a))))) (+ (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))) (* 9/2 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))))))) (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a))))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (- (+ 1 (exp (* 2 b))) (exp b))>
#<alt (- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (* -1 (exp b)))) (exp b))))) (exp b))>
#<alt (- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (* 1/2 (- (exp (* 2 b)) (exp b)))))))))) (exp b))))) (exp b))>
#<alt (- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (+ (* 1/2 (- (exp (* 2 b)) (exp b))) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/6 (exp b)) (* 1/6 (- (exp (* 2 b)) (exp b))))))))))))))) (exp b))))) (exp b))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a))))>
#<alt (+ (exp (* 3 a)) (+ (* b (* (exp a) (- 2 (exp a)))) (* (exp a) (- 1 (exp a)))))>
#<alt (+ (exp (* 3 a)) (+ (* b (+ (* b (* (exp a) (- 2 (* 1/2 (exp a))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))>
#<alt (+ (exp (* 3 a)) (+ (* b (+ (* b (+ (* b (* (exp a) (- 4/3 (* 1/6 (exp a))))) (* (exp a) (- 2 (* 1/2 (exp a)))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))>
#<alt (+ 1 (exp (* 3 b)))>
#<alt (+ 1 (+ (exp (* 3 b)) (* 3 a)))>
#<alt (+ 1 (+ (exp (* 3 b)) (* a (+ 3 (* 9/2 a)))))>
#<alt (+ 1 (+ (exp (* 3 b)) (* a (+ 3 (* a (+ 9/2 (* 9/2 a)))))))>
#<alt (+ (exp (* 3 a)) (exp (* 3 b)))>
#<alt (+ (exp (* 3 a)) (exp (* 3 b)))>
#<alt (+ (exp (* 3 a)) (exp (* 3 b)))>
#<alt (+ (exp (* 3 a)) (exp (* 3 b)))>
#<alt (+ (exp (* 3 a)) (exp (* 3 b)))>
#<alt (+ (exp (* 3 a)) (exp (* 3 b)))>
#<alt (+ (exp (* 3 a)) (exp (* 3 b)))>
#<alt (+ (exp (* 3 a)) (exp (* 3 b)))>
#<alt (+ 1 (exp (* 3 a)))>
#<alt (+ 1 (+ (exp (* 3 a)) (* 3 b)))>
#<alt (+ 1 (+ (exp (* 3 a)) (* b (+ 3 (* 9/2 b)))))>
#<alt (+ 1 (+ (exp (* 3 a)) (* b (+ 3 (* b (+ 9/2 (* 9/2 b)))))))>
#<alt (+ (exp (* 3 a)) (exp (* 3 b)))>
#<alt (+ (exp (* 3 a)) (exp (* 3 b)))>
#<alt (+ (exp (* 3 a)) (exp (* 3 b)))>
#<alt (+ (exp (* 3 a)) (exp (* 3 b)))>
#<alt (+ (exp (* 3 a)) (exp (* 3 b)))>
#<alt (+ (exp (* 3 a)) (exp (* 3 b)))>
#<alt (+ (exp (* 3 a)) (exp (* 3 b)))>
#<alt (+ (exp (* 3 a)) (exp (* 3 b)))>
Calls

75 calls:

TimeVariablePointExpression
5.0ms
b
@inf
(/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3))))
3.0ms
a
@-inf
(/ (- (neg (exp a)) (exp b)) (* (neg (exp a)) 1))
2.0ms
a
@0
(/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3))))
2.0ms
a
@0
(/ (exp a) (+ (/ 1 (exp (neg a))) (exp b)))
1.0ms
b
@0
(/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3))))

rewrite335.0ms (3.7%)

Memory
-17.6MiB live, 457.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 684×lower-fma.f32
5 682×lower-fma.f64
3 998×lower-*.f32
3 992×lower-*.f64
3 850×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032141
061132
1242117
21772116
08835116
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 797
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)))
(-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64))))
(exp.f64 a)
(exp.f64 b)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(/.f64 #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 (exp.f64 a) #s(literal 1 binary64))
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))
Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (-.f64 b a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (neg.f64 (exp.f64 (-.f64 b a))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (neg.f64 (neg.f64 (exp.f64 (-.f64 b a))))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 b a))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (exp.f64 a)) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (exp.f64 a)) (/.f64 (-.f64 (exp.f64 a) (neg.f64 (exp.f64 b))) (neg.f64 (exp.f64 a))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))) (neg.f64 (exp.f64 a))) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))) (neg.f64 (exp.f64 a))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) (neg.f64 (exp.f64 a))) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (+.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) (neg.f64 (exp.f64 a))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b b)))) (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b b)))) (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (exp.f64 a)) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))) (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b b))) (*.f64 (neg.f64 (exp.f64 a)) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))))
(-.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (*.f64 (neg.f64 (exp.f64 a)) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))) (/.f64 (exp.f64 (+.f64 b b)) (*.f64 (neg.f64 (exp.f64 a)) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 (+.f64 b b)) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (*.f64 (neg.f64 (exp.f64 a)) (+.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))) (/.f64 (exp.f64 (+.f64 b b)) (*.f64 (neg.f64 (exp.f64 a)) (+.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))) (/.f64 (neg.f64 (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (neg.f64 (exp.f64 (-.f64 b a))) #s(literal 2 binary64)) (neg.f64 (exp.f64 (-.f64 b a)))))) (/.f64 (neg.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (neg.f64 (exp.f64 (-.f64 b a))) #s(literal 2 binary64)) (neg.f64 (exp.f64 (-.f64 b a)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 b a))))) (/.f64 (pow.f64 (neg.f64 (exp.f64 (-.f64 b a))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 b a))))))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (neg.f64 (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 b a)))) #s(literal 1 binary64))
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b b))) (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1 binary64))
(/.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b b))) (*.f64 (neg.f64 (exp.f64 a)) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b b))) (neg.f64 (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (*.f64 (neg.f64 (exp.f64 a)) (+.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (neg.f64 (exp.f64 (+.f64 a b)))) (exp.f64 (+.f64 a a)))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b b))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (neg.f64 (exp.f64 a))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (neg.f64 (exp.f64 a))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (*.f64 (neg.f64 (exp.f64 a)) (+.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 b)))) (neg.f64 (*.f64 (neg.f64 (exp.f64 a)) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (neg.f64 (exp.f64 (-.f64 b a))) #s(literal 2 binary64)) (neg.f64 (exp.f64 (-.f64 b a))))))
(/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) (neg.f64 (exp.f64 a)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (exp.f64 (-.f64 b a))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 b a)))))
(/.f64 (*.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) #s(literal 1 binary64)) (neg.f64 (exp.f64 a)))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b b))) (neg.f64 (exp.f64 (neg.f64 a)))) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (neg.f64 (exp.f64 (neg.f64 a)))) (+.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) (exp.f64 a))
(/.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64))) (exp.f64 a))
(/.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))) (neg.f64 (exp.f64 a)))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (neg.f64 (exp.f64 (+.f64 a b))))) (neg.f64 (exp.f64 (+.f64 a a))))
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simplify353.0ms (3.9%)

Memory
33.0MiB live, 454.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 160×lower-fma.f64
7 160×lower-fma.f32
4 684×lower-+.f64
4 684×lower-+.f32
3 768×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05305013
115564802
246484670
083494397
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
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1
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1
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2
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2
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1
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(+ (exp (* 3 a)) (+ (* b (+ (* b (* (exp a) (- 2 (* 1/2 (exp a))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))
(+ (exp (* 3 a)) (+ (* b (+ (* b (+ (* b (* (exp a) (- 4/3 (* 1/6 (exp a))))) (* (exp a) (- 2 (* 1/2 (exp a)))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(+ 1 (exp (* 3 b)))
(+ 1 (+ (exp (* 3 b)) (* 3 a)))
(+ 1 (+ (exp (* 3 b)) (* a (+ 3 (* 9/2 a)))))
(+ 1 (+ (exp (* 3 b)) (* a (+ 3 (* a (+ 9/2 (* 9/2 a)))))))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+ 1 (exp (* 3 a)))
(+ 1 (+ (exp (* 3 a)) (* 3 b)))
(+ 1 (+ (exp (* 3 a)) (* b (+ 3 (* 9/2 b)))))
(+ 1 (+ (exp (* 3 a)) (* b (+ 3 (* b (+ 9/2 (* 9/2 b)))))))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+ (exp (* 3 a)) (exp (* 3 b)))
Outputs
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(fma.f64 (+.f64 (neg.f64 a) #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (- (* a (- 1/2 (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))
(fma.f64 a (fma.f64 a (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 b) #s(literal -1/2 binary64)))) (neg.f64 (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (- (* a (- (+ 1/2 (* a (- (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))) (+ 1/3 (+ (* -1/2 (exp b)) (* 1/6 (+ 1 (exp b)))))))) (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))
(fma.f64 a (fma.f64 a (fma.f64 a (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 b) #s(literal -1/2 binary64))) (-.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (exp.f64 b) #s(literal -1/3 binary64))))) (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 b) #s(literal -1/2 binary64))))) (neg.f64 (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ 1 (exp a)) (exp a))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))
(fma.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))
(fma.f64 b (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (*.f64 b (exp.f64 (neg.f64 a))) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 (neg.f64 a)))))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(* -1 (+ 1 (exp b)))
(-.f64 #s(literal -1 binary64) (exp.f64 b))
(- (* -1 a) (+ 1 (exp b)))
(-.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) a))
(- (* a (- (* -1/2 a) 1)) (+ 1 (exp b)))
(fma.f64 a (fma.f64 a #s(literal -1/2 binary64) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 b)))
(- (* a (- (* a (- (* -1/6 a) 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)))
(* -1 (+ (exp a) (exp b)))
(-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))
(* -1 (+ (exp a) (exp b)))
(-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))
(* -1 (+ (exp a) (exp b)))
(-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))
(* -1 (+ (exp a) (exp b)))
(-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))
(* -1 (+ (exp a) (exp b)))
(-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))
(* -1 (+ (exp a) (exp b)))
(-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))
(* -1 (+ (exp a) (exp b)))
(-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))
(* -1 (+ (exp a) (exp b)))
(-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))
(* -1 (+ 1 (exp a)))
(-.f64 #s(literal -1 binary64) (exp.f64 a))
(- (* -1 b) (+ 1 (exp a)))
(-.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)
(- (* b (- (* -1/2 b) 1)) (+ 1 (exp a)))
(fma.f64 b (fma.f64 b #s(literal -1/2 binary64) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(- (* b (- (* b (- (* -1/6 b) 1/2)) 1)) (+ 1 (exp a)))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (+ (exp a) (exp b)))
(-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))
(* -1 (+ (exp a) (exp b)))
(-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))
(* -1 (+ (exp a) (exp b)))
(-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))
(* -1 (+ (exp a) (exp b)))
(-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))
(* -1 (+ (exp a) (exp b)))
(-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))
(* -1 (+ (exp a) (exp b)))
(-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))
(* -1 (+ (exp a) (exp b)))
(-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))
(* -1 (+ (exp a) (exp b)))
(-.f64 (neg.f64 (exp.f64 b)) (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 (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.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 (/.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))))
(/ (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))))
(fma.f64 (neg.f64 b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 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 (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 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 b (-.f64 (neg.f64 (*.f64 (fma.f64 b (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 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
#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)
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
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(/ (exp a) (+ 1 (exp a)))
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2
#s(literal 2 binary64)
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1
#s(literal 1 binary64)
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(exp.f64 a)
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(exp.f64 a)
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(+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(+ (exp (* 3 a)) (exp (* 3 b)))
(+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))

eval229.0ms (2.5%)

Memory
7.5MiB live, 246.4MiB allocated
Compiler

Compiled 31 014 to 2 740 computations (91.2% saved)

prune134.0ms (1.5%)

Memory
-7.7MiB live, 303.1MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1 276111 287
Fresh000
Picked415
Done000
Total1 280121 292
Accuracy
100.0%
Counts
1 292 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.6%
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
▶35.7%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
39.0%
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
▶39.0%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
39.0%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
▶66.1%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
50.7%
(/.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)))
▶48.3%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
35.7%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓80.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
28.4%
(+.f64 (exp.f64 b) #s(literal 1 binary64))
▶38.6%
#s(literal 1/2 binary64)
Compiler

Compiled 202 to 154 computations (23.8% saved)

simplify9.0ms (0.1%)

Memory
18.2MiB live, 18.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓cost-diff0
(*.f64 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
(fma.f64 b #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
132×lower-fma.f32
122×lower-fma.f64
88×lower-*.f32
86×lower-*.f64
60×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01762
03162
15762
29662
313062
413062
013062
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(exp.f64 a)
a
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
b
#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))
a
(fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))
#s(literal -1/48 binary64)
(*.f64 a a)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(exp.f64 a)
a
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
b
#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 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
a
(fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
#s(literal -1/48 binary64)
(*.f64 a a)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)

localize59.0ms (0.6%)

Memory
-13.6MiB live, 101.1MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 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))
✓accuracy99.9%
(fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))
✓accuracy100.0%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
✓accuracy100.0%
(exp.f64 a)
Samples
39.0ms256×0valid
Compiler

Compiled 73 to 24 computations (67.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 8.0ms (30.7% of total)
ival-add: 7.0ms (26.9% of total)
const: 4.0ms (15.4% of total)
ival-div: 3.0ms (11.5% of total)
ival-exp: 3.0ms (11.5% of total)
exact: 1.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
9 → 108
Calls
Call 1
Inputs
#<alt (exp.f64 a)>
#<alt (/.f64 (exp.f64 a) #s(literal 2 binary64))>
#<alt (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))>
#<alt (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))>
#<alt (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))>
#<alt (*.f64 a a)>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))>
#<alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))>
#<alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))>
Outputs
#<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 (* 1/2 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 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (* -1/4 b)>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* -1/4 b)>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<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 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 (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 1/2>
#<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)))>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
b
@inf
(/ 1 (+ (* b (+ (* b 1/2) 1)) 2))
0.0ms
a
@inf
(+ (* a (+ (* -1/48 (* a a)) 1/4)) 1/2)
0.0ms
a
@inf
(+ (* -1/48 (* a a)) 1/4)
0.0ms
b
@inf
(+ (* b -1/4) 1/2)
0.0ms
b
@-inf
(/ 1 (+ (* b (+ (* b 1/2) 1)) 2))

rewrite413.0ms (4.5%)

Memory
10.7MiB live, 605.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 418×lower-fma.f32
9 408×lower-fma.f64
6 036×lower-*.f32
6 034×lower-*.f64
3 992×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01748
03148
113848
292148
0846348
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 401
Calls
Call 1
Inputs
(exp.f64 a)
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(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 a a)
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
Outputs
(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) (exp.f64 a))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(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)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a)))))
(/.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) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 a))))
(/.f64 (neg.f64 (exp.f64 a)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (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 (neg.f64 (exp.f64 a)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 a))) #s(literal -1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(+.f64 (*.f64 b #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 1/16 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 b #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 1/16 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 b #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/4 binary64)))) (/.f64 (*.f64 b (*.f64 b #s(literal 1/16 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/4 binary64)))))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 b #s(literal -1/4 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 b (*.f64 b #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 b #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (neg.f64 (+.f64 (fma.f64 b (*.f64 b #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))))))
(neg.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) (+.f64 (fma.f64 b (*.f64 b #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b (*.f64 b #s(literal 1/16 binary64)) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #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 b (-.f64 (*.f64 b #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))) (fma.f64 (*.f64 b (*.f64 b b)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))))
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b #s(literal 1/4 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b b))))) (+.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 b #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal -1 binary64)) (+.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 b #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal 1/4 binary64)))) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 b #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64)))) (neg.f64 (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/4 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 1/4 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 1/4 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 b (*.f64 b #s(literal 1/4 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 1/4 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 1/4 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 b (*.f64 b #s(literal 1/4 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 1/4 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 b #s(literal -1/2 binary64))))) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b b))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 b #s(literal -1/2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))) (+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 b #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 b #s(literal -1/2 binary64))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))

simplify893.0ms (9.8%)

Memory
-150.9MiB live, 606.1MiB allocated
Algorithm
1×egg-herbie
Rules
15 886×lower-fma.f64
15 886×lower-fma.f32
4 594×lower-*.f64
4 594×lower-*.f32
2 824×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0130663
1365656
2931656
33299646
47873646
08316574
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
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 (* 1/2 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))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* -1/4 b))
(+ 1/2 (* -1/4 b))
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* -1/4 b)
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
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))
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))))))
(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)
1/2
(+ 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)))
Outputs
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) #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))
1/2
#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 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
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 #s(literal -1/48 binary64) (*.f64 a a))
(* (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 #s(literal -1/48 binary64) (*.f64 a a))
(* (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))
1/2
#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 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(* (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 (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
(* -1/48 (pow a 3))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(* -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 (*.f64 a 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 (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.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)
(pow a 2)
(*.f64 a a)
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 (- (* 1/16 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b #s(literal -1/32 binary64) #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (/.f64 #s(literal 16 binary64) (*.f64 b b))) (*.f64 b (*.f64 b b)))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (/.f64 #s(literal 16 binary64) (*.f64 b b))) (/.f64 #s(literal -32 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b (*.f64 b b)))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (/.f64 #s(literal 16 binary64) (*.f64 b b))) (*.f64 b (*.f64 b b)))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -32 binary64) (*.f64 b (*.f64 b b))))) b)) (*.f64 b b))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #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))
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))

eval72.0ms (0.8%)

Memory
-3.6MiB live, 159.3MiB allocated
Compiler

Compiled 13 280 to 1 355 computations (89.8% saved)

prune80.0ms (0.9%)

Memory
-0.3MiB live, 188.0MiB allocated
Pruning

22 alts after pruning (18 fresh and 4 done)

PrunedKeptTotal
New49712509
Fresh066
Picked235
Done011
Total49922521
Accuracy
100.0%
Counts
521 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶34.6%
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓35.7%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
39.0%
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
38.1%
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
✓39.0%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
38.1%
(fma.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) #s(literal 1/2 binary64))
38.2%
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
39.0%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
39.8%
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
17.9%
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
38.3%
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
16.1%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
50.7%
(/.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)))
▶35.7%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓80.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
28.4%
(+.f64 (exp.f64 b) #s(literal 1 binary64))
13.6%
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
▶66.1%
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
▶13.8%
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
12.2%
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
▶3.8%
(*.f64 #s(literal -1/4 binary64) b)
✓38.6%
#s(literal 1/2 binary64)
Compiler

Compiled 480 to 304 computations (36.7% saved)

simplify228.0ms (2.5%)

Memory
10.8MiB live, 328.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))
✓cost-diff0
(*.f64 a a)
✓cost-diff640
(fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64))
✓cost-diff832
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
✓cost-diff0
(*.f64 b #s(literal 1/48 binary64))
✓cost-diff0
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
✓cost-diff0
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 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 -1/4 binary64) b)
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
Rules
4 078×lower-*.f32
4 066×lower-*.f64
2 862×lower-/.f32
2 858×lower-/.f64
2 778×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023104
04094
18094
215494
329692
448790
5100790
6197490
7351690
8398290
9451590
10533890
11654290
12742690
13770790
14792690
0810587
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(exp.f64 a)
a
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
b
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 b #s(literal 2 binary64))
b
#s(literal 2 binary64)
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
b
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(*.f64 b #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
a
(fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64))
(*.f64 a a)
(+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))
#s(literal -1/48 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
#s(literal 1/2 binary64)
(*.f64 a (*.f64 a a))
#s(literal 1/4 binary64)
Outputs
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(exp.f64 a)
a
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
b
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 b #s(literal 2 binary64))
b
#s(literal 2 binary64)
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
b
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(*.f64 b #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
(fma.f64 a (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
a
(fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64))
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)))
(*.f64 a a)
(+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))
#s(literal -1/48 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
#s(literal 1/2 binary64)
(*.f64 a (*.f64 a a))
#s(literal 1/4 binary64)

localize77.0ms (0.8%)

Memory
-10.9MiB live, 128.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 a (*.f64 a a))
✓accuracy99.7%
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
✓accuracy99.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
✓accuracy56.4%
(fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64))
✓accuracy99.9%
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓accuracy99.9%
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
✓accuracy99.4%
(*.f64 b #s(literal 1/48 binary64))
✓accuracy100.0%
(+.f64 b #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) b)
✓accuracy100.0%
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
✓accuracy100.0%
(exp.f64 a)
Samples
51.0ms256×0valid
Compiler

Compiled 111 to 28 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 12.0ms (35.7% of total)
ival-add: 8.0ms (23.8% of total)
const: 7.0ms (20.8% of total)
ival-div: 3.0ms (8.9% of total)
ival-exp: 2.0ms (5.9% of total)
exact: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-25.0MiB live, 13.8MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#<alt (exp.f64 a)>
#<alt (*.f64 (exp.f64 a) #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal -1/4 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))>
#<alt (+.f64 b #s(literal 2 binary64))>
#<alt (*.f64 b #s(literal 1/48 binary64))>
#<alt (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))>
#<alt (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64))>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))>
#<alt (*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))>
#<alt (*.f64 a (*.f64 a a))>
Outputs
#<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 (* 1/2 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 (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/8 b) 1/4)))>
#<alt (+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4)))>
#<alt (/ 1 b)>
#<alt (/ (- 1 (* 2 (/ 1 b))) b)>
#<alt (/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b)>
#<alt (/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (* 2 (/ 1 b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) b))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt -1/4>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (* 1/48 (pow b 2))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* 1/48 (pow b 2))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (* 1/48 (pow b 3))>
#<alt (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* 1/48 (pow b 3))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))>
#<alt (/ 1/2 a)>
#<alt (/ (+ 1/2 (* 1/4 a)) a)>
#<alt (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) a)>
#<alt (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) a)>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 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) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<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 (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
Calls

36 calls:

TimeVariablePointExpression
2.0ms
b
@inf
(/ 1 (+ b 2))
0.0ms
a
@0
(/ 1/2 (* a (* a a)))
0.0ms
a
@-inf
(* a (* a a))
0.0ms
b
@-inf
(* -1/4 b)
0.0ms
b
@-inf
(* b 1/48)

rewrite364.0ms (4%)

Memory
30.7MiB live, 496.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 158×lower-fma.f32
8 152×lower-fma.f64
4 888×lower-*.f32
4 876×lower-*.f64
3 652×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02377
04069
116469
2114367
0855665
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 407
Calls
Call 1
Inputs
(exp.f64 a)
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(+.f64 b #s(literal 2 binary64))
(*.f64 b #s(literal 1/48 binary64))
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
(*.f64 a (*.f64 a a))
Outputs
(exp.f64 a)
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 b #s(literal -1/4 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (*.f64 b b)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) b) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64)))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64)))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64)))))
(+.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) b)))
(-.f64 (/.f64 b (fma.f64 b b #s(literal -4 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 b b #s(literal -4 binary64))))
(-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (/.f64 (*.f64 b #s(literal 2 binary64)) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))))
(fma.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64)))))
(fma.f64 (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (*.f64 b b)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) #s(literal -2 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) b)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) b))
(/.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))) (fma.f64 b (*.f64 b b) #s(literal 8 binary64)))
(/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64)))
(/.f64 (neg.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64))))) (neg.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64))))
(/.f64 (+.f64 (neg.f64 b) #s(literal 2 binary64)) (neg.f64 (fma.f64 b b #s(literal -4 binary64))))
(pow.f64 (+.f64 b #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 b #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) b)))
(*.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))))
(*.f64 (+.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))))
(*.f64 (pow.f64 (+.f64 b #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 b #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (+.f64 b #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 b #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 b #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) b)
(+.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b)))
(+.f64 (/.f64 (*.f64 b b) (+.f64 b #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 b #s(literal -2 binary64)))))
(+.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 b #s(literal 2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) b))
(-.f64 (/.f64 (*.f64 b b) (+.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 b #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 b #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) b)) (/.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) b)))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 b #s(literal -2 binary64)))))
(neg.f64 (-.f64 #s(literal -2 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (+.f64 b #s(literal -2 binary64)))) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) b) (-.f64 #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (+.f64 b #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) b)))
(/.f64 (-.f64 #s(literal -2 binary64) b) #s(literal -1 binary64))
(/.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))))
(/.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 b (+.f64 b #s(literal -2 binary64)))))
(/.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (neg.f64 (neg.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))))))
(/.f64 (fma.f64 b b #s(literal -4 binary64)) (+.f64 b #s(literal -2 binary64)))
(/.f64 (fma.f64 b b #s(literal -4 binary64)) (neg.f64 (+.f64 (neg.f64 b) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (neg.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (+.f64 b #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 b b #s(literal -4 binary64))) (+.f64 (neg.f64 b) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 #s(literal 2 binary64) b))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (+.f64 b #s(literal -2 binary64))) (*.f64 (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (+.f64 b #s(literal -2 binary64)) (+.f64 b #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)))) (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b b #s(literal -4 binary64)))) (+.f64 b #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b b #s(literal -4 binary64)))) (neg.f64 (+.f64 (neg.f64 b) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 2 binary64) b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (+.f64 b #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 b #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (+.f64 b #s(literal -2 binary64))) (/.f64 (*.f64 b b) (+.f64 b #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 b #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 b b) (+.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 b #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (+.f64 b #s(literal -2 binary64))) (/.f64 (*.f64 b b) (+.f64 b #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 b #s(literal -2 binary64))))) (+.f64 (/.f64 (*.f64 b b) (+.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 b #s(literal -2 binary64)))))
(pow.f64 (+.f64 b #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(*.f64 (+.f64 b #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) b))
(*.f64 (-.f64 #s(literal -2 binary64) b) #s(literal -1 binary64))
(*.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64))))))
(*.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b (+.f64 b #s(literal -2 binary64))))))
(*.f64 (fma.f64 b b #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal -2 binary64))))
(*.f64 (neg.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal -2 binary64)))))))
(*.f64 (neg.f64 (fma.f64 b b #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 b) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) b)))
(*.f64 b #s(literal 1/48 binary64))
(*.f64 #s(literal 1/48 binary64) b)
(+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))
(+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal -1/4 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 1/2304 binary64))) (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 1/2304 binary64))) (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 1/2304 binary64))) (-.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(fma.f64 (*.f64 b #s(literal 1/48 binary64)) b #s(literal -1/4 binary64))
(fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 1/2304 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
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(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a (*.f64 a a))))
(neg.f64 (neg.f64 (*.f64 a (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))
(/.f64 (*.f64 a (*.f64 a a)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 a (*.f64 a a))) #s(literal -1 binary64))
(pow.f64 a #s(literal 3 binary64))
(pow.f64 (*.f64 a a) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 3 binary64))
(*.f64 a (*.f64 a a))
(*.f64 a (neg.f64 (neg.f64 (*.f64 a a))))
(*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))
(*.f64 (*.f64 a a) a)
(*.f64 (*.f64 a a) (neg.f64 (neg.f64 a)))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a (*.f64 a a))))
(*.f64 (neg.f64 a) (neg.f64 (*.f64 a a)))
(*.f64 (neg.f64 (*.f64 a a)) (neg.f64 a))
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (neg.f64 a)) (*.f64 a a))
(*.f64 (neg.f64 (neg.f64 (*.f64 a a))) a)

simplify347.0ms (3.8%)

Memory
-14.1MiB live, 460.3MiB allocated
Algorithm
1×egg-herbie
Rules
13 698×lower-fma.f64
13 698×lower-fma.f32
4 880×lower-*.f64
4 880×lower-*.f32
2 822×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143878
1394868
21043868
33311818
08441755
Stop Event
1×iter limit
1×node limit
Counts
144 → 142
Calls
Call 1
Inputs
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 (* 1/2 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))
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/8 b) 1/4)))
(+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4)))
(/ 1 b)
(/ (- 1 (* 2 (/ 1 b))) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b)
(/ 1 b)
(* -1 (/ (- (* 2 (/ 1 b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) b))
2
(+ 2 b)
(+ 2 b)
(+ 2 b)
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(- (* 1/48 (pow b 2)) 1/4)
(- (* 1/48 (pow b 2)) 1/4)
(* 1/48 (pow b 2))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* 1/48 (pow b 2))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(* 1/48 (pow b 3))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(* 1/48 (pow b 3))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(/ 1/2 a)
(/ (+ 1/2 (* 1/4 a)) a)
(/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) a)
(/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) a)
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 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) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
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))))))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
Outputs
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) #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))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
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 (- (* 1/8 b) 1/4)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4)))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (- 1 (* 2 (/ 1 b))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) b)) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) b) #s(literal -2 binary64)) b)) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) b) #s(literal -4 binary64)) b)) b)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (* 2 (/ 1 b)) 1) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) b)) b)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) b) #s(literal -2 binary64)) b)) b)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) b) #s(literal -4 binary64)) b)) b)) b)
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
b
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
b
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* 1/48 (pow b 2)) 1/4)
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(- (* 1/48 (pow b 2)) 1/4)
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(- (* 1/48 (pow b 2)) 1/4)
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(* 1/48 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 1/48 binary64))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(* 1/48 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 1/48 binary64))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
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 (- (* 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))
(* 1/48 (pow b 3))
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b (*.f64 b (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b b))))) #s(literal -1/4 binary64)))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b (*.f64 b (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b b))))) #s(literal -1/4 binary64)))
(* 1/48 (pow b 3))
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
(*.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(*.f64 b (fma.f64 b (*.f64 b (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b b))))) #s(literal -1/4 binary64)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(*.f64 b (fma.f64 b (*.f64 b (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b b))))) #s(literal -1/4 binary64)))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ (+ 1/2 (* 1/4 a)) a)
(/.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) a)
(/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) a)
(/.f64 (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) a)
(/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) a)
(/.f64 (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) a)
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))
(* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))
(* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))
(* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))
(* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a 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 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(*.f64 a (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(*.f64 a (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(*.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(neg.f64 (*.f64 a (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a (*.f64 a #s(literal 1/48 binary64))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(neg.f64 (*.f64 a (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a (*.f64 a #s(literal 1/48 binary64))))))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))

eval68.0ms (0.7%)

Memory
8.7MiB live, 122.5MiB allocated
Compiler

Compiled 11 634 to 1 330 computations (88.6% saved)

prune131.0ms (1.4%)

Memory
-6.3MiB live, 124.8MiB allocated
Pruning

33 alts after pruning (25 fresh and 8 done)

PrunedKeptTotal
New53613549
Fresh11213
Picked145
Done044
Total53833571
Accuracy
100.0%
Counts
571 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.9%
(fma.f64 (*.f64 a (-.f64 #s(literal -1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))) (*.f64 a a) (*.f64 a #s(literal 1/4 binary64)))
✓34.6%
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓35.7%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
39.0%
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
38.1%
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
✓39.0%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
38.1%
(fma.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) #s(literal 1/2 binary64))
38.2%
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
39.0%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
39.8%
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
17.9%
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
38.3%
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
38.9%
(/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)))))
16.1%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
50.7%
(/.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)))
✓35.7%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓80.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
3.4%
(/.f64 #s(literal 1 binary64) b)
28.4%
(+.f64 (exp.f64 b) #s(literal 1 binary64))
✓66.1%
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
13.4%
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
18.6%
(*.f64 a (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (*.f64 a a) a) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
18.6%
(*.f64 a (fma.f64 (/.f64 (*.f64 a a) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
17.8%
(*.f64 a (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
14.8%
(*.f64 a (fma.f64 (*.f64 a (-.f64 #s(literal -1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))) a #s(literal 1/4 binary64)))
13.9%
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)) #s(literal 1/4 binary64)))
13.9%
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a a))) #s(literal 1/4 binary64)))
13.8%
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) #s(literal 1/4 binary64)))
13.8%
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) #s(literal 1/4 binary64)))
14.8%
(*.f64 a (fma.f64 a (/.f64 a (*.f64 (*.f64 a (*.f64 a a)) #s(literal 2 binary64))) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
12.2%
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
✓3.8%
(*.f64 #s(literal -1/4 binary64) b)
✓38.6%
#s(literal 1/2 binary64)
Compiler

Compiled 942 to 432 computations (54.1% saved)

regimes60.0ms (0.7%)

Memory
-5.5MiB live, 108.6MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) #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 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a (-.f64 #s(literal -1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))) a #s(literal 1/4 binary64)))
(fma.f64 (*.f64 a (-.f64 #s(literal -1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))) (*.f64 a a) (*.f64 a #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a a))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)) #s(literal 1/4 binary64)))
(/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)))))
(*.f64 a (fma.f64 a (/.f64 a (*.f64 (*.f64 a (*.f64 a a)) #s(literal 2 binary64))) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
(*.f64 a (fma.f64 (/.f64 (*.f64 a a) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 a (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (*.f64 a a) a) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(*.f64 (exp.f64 a) #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 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

13.0ms
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
99.2%1a
99.2%1b
99.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.2%1(exp.f64 a)
99.2%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes52.0ms (0.6%)

Memory
36.9MiB live, 77.4MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) #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 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a (-.f64 #s(literal -1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))) a #s(literal 1/4 binary64)))
(fma.f64 (*.f64 a (-.f64 #s(literal -1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))) (*.f64 a a) (*.f64 a #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a a))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)) #s(literal 1/4 binary64)))
(/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)))))
(*.f64 a (fma.f64 a (/.f64 a (*.f64 (*.f64 a (*.f64 a a)) #s(literal 2 binary64))) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
(*.f64 a (fma.f64 (/.f64 (*.f64 a a) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 a (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (*.f64 a a) a) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(*.f64 (exp.f64 a) #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 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
Outputs
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Calls

5 calls:

12.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms
b
11.0ms
a
8.0ms
(exp.f64 b)
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.6%2a
100.0%3b
84.6%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.6%2(exp.f64 a)
100.0%3(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes41.0ms (0.5%)

Memory
-1.8MiB live, 73.1MiB allocated
Counts
36 → 5
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) #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 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a (-.f64 #s(literal -1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))) a #s(literal 1/4 binary64)))
(fma.f64 (*.f64 a (-.f64 #s(literal -1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))) (*.f64 a a) (*.f64 a #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a a))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)) #s(literal 1/4 binary64)))
(/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)))))
(*.f64 a (fma.f64 a (/.f64 a (*.f64 (*.f64 a (*.f64 a a)) #s(literal 2 binary64))) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
(*.f64 a (fma.f64 (/.f64 (*.f64 a a) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 a (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (*.f64 a a) a) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
Outputs
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

4 calls:

10.0ms
b
10.0ms
a
9.0ms
(exp.f64 b)
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
96.9%5b
89.9%3(exp.f64 b)
72.3%2(exp.f64 a)
72.3%2a
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes46.0ms (0.5%)

Memory
-28.6MiB live, 52.0MiB allocated
Counts
34 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) #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 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a (-.f64 #s(literal -1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))) a #s(literal 1/4 binary64)))
(fma.f64 (*.f64 a (-.f64 #s(literal -1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))) (*.f64 a a) (*.f64 a #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a a))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)) #s(literal 1/4 binary64)))
(/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)))))
(*.f64 a (fma.f64 a (/.f64 a (*.f64 (*.f64 a (*.f64 a a)) #s(literal 2 binary64))) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
(*.f64 a (fma.f64 (/.f64 (*.f64 a a) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 a (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (*.f64 a a) a) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
Outputs
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

3 calls:

25.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms
b
8.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
71.6%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
71.6%2(exp.f64 b)
77.4%4b
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes56.0ms (0.6%)

Memory
27.8MiB live, 65.8MiB allocated
Counts
33 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) #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 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a (-.f64 #s(literal -1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))) a #s(literal 1/4 binary64)))
(fma.f64 (*.f64 a (-.f64 #s(literal -1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))) (*.f64 a a) (*.f64 a #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a a))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)) #s(literal 1/4 binary64)))
(/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)))))
(*.f64 a (fma.f64 a (/.f64 a (*.f64 (*.f64 a (*.f64 a a)) #s(literal 2 binary64))) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
(*.f64 a (fma.f64 (/.f64 (*.f64 a a) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 a (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (*.f64 a a) a) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
Outputs
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

5 calls:

21.0ms
(exp.f64 a)
9.0ms
b
9.0ms
a
7.0ms
(exp.f64 b)
7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
54.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
54.5%2(exp.f64 b)
55.6%2(exp.f64 a)
56.3%2a
60.4%4b
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
-15.9MiB live, 22.5MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) #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 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a (-.f64 #s(literal -1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))) a #s(literal 1/4 binary64)))
(fma.f64 (*.f64 a (-.f64 #s(literal -1/48 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))) (*.f64 a a) (*.f64 a #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a a))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)) #s(literal 1/4 binary64)))
(/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)))))
(*.f64 a (fma.f64 a (/.f64 a (*.f64 (*.f64 a (*.f64 a a)) #s(literal 2 binary64))) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)))
(*.f64 a (fma.f64 (/.f64 (*.f64 a a) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(*.f64 a (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (*.f64 a a) a) (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
Outputs
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
58.1%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) #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 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
Outputs
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
58.1%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) #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 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
Outputs
(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 -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
58.1%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory
-9.3MiB live, 29.4MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) #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 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
Outputs
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
Calls

3 calls:

5.0ms
a
5.0ms
b
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
54.3%2(exp.f64 a)
55.0%2a
55.5%3b
Compiler

Compiled 10 to 7 computations (30% saved)

regimes24.0ms (0.3%)

Memory
-4.2MiB live, 37.1MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) #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 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
Outputs
(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 -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

5 calls:

6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
b
5.0ms
a
4.0ms
(exp.f64 a)
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
55.5%3b
50.3%2(exp.f64 a)
51.8%2(exp.f64 b)
51.9%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
50.4%2a
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) #s(literal 1/2 binary64))
Outputs
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
55.4%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory
6.8MiB live, 43.2MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
Outputs
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
Calls

5 calls:

6.0ms
b
4.0ms
a
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
50.2%2(exp.f64 a)
50.2%2a
48.3%2(exp.f64 b)
50.0%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
48.3%2b
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory
-6.0MiB live, 32.3MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
Outputs
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
Calls

4 calls:

4.0ms
(exp.f64 a)
3.0ms
a
3.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
48.3%2b
48.2%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
39.0%1a
39.0%1(exp.f64 a)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes12.0ms (0.1%)

Memory
-11.0MiB live, 27.9MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
Outputs
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
Calls

4 calls:

3.0ms
b
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
39.0%1(exp.f64 a)
39.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
39.0%1(exp.f64 b)
39.0%1b
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB allocated
Accuracy

Total -22.5b remaining (-57.1%)

Threshold costs -22.5b (-57.1%)

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

5 calls:

1.0ms
a
1.0ms
b
1.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 b)
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
38.6%1a
38.6%1b
38.6%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
38.6%1(exp.f64 a)
38.6%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch30.0ms (0.3%)

Memory
-17.3MiB live, 36.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
-2.208783086431698e+26
-5910282.25079068
Samples
20.0ms176×0valid
1.0ms17×0exit
Compiler

Compiled 189 to 154 computations (18.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-exp: 15.0ms (88.3% of total)
ival-div: 1.0ms (5.9% of total)
ival-add: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch50.0ms (0.5%)

Memory
-26.9MiB live, 85.1MiB allocated
Algorithm
4×binary-search
Stop Event
1×predicate-same
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
8.125889279100877e+135
7.184425698884181e+157
8.0ms
9.139733996868863e+76
5.260942639983115e+77
13.0ms
4.89451918230814e+42
5.9557483023102506e+50
14.0ms
-27825.681930546816
-5.575842864635418e-5
Samples
26.0ms496×0valid
Compiler

Compiled 1 213 to 637 computations (47.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-exp: 7.0ms (48.5% of total)
ival-add: 4.0ms (27.7% of total)
ival-div: 3.0ms (20.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Algorithm
3×binary-search
Stop Event
1×predicate-same
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
8.125889279100877e+135
7.184425698884181e+157
1.0ms
9.139733996868863e+76
5.260942639983115e+77
7.0ms
-27825.681930546816
-5.575842864635418e-5
Samples
4.0ms80×0valid
Compiler

Compiled 1 087 to 529 computations (51.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (43.4% of total)
ival-exp: 1.0ms (43.4% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Algorithm
3×binary-search
Stop Event
1×predicate-same
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
8.125889279100877e+135
7.184425698884181e+157
1.0ms
9.139733996868863e+76
5.260942639983115e+77
5.0ms
7.340270013121186e-65
1.2621839092800847e-64
Samples
3.0ms64×0valid
Compiler

Compiled 882 to 443 computations (49.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (62.5% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Memory
-32.8MiB live, 45.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
2.496102287533243e+91
1.6651541913966343e+94
19.0ms
2.947188793609703e-23
1.1031627886765832e-9
Samples
13.0ms288×0valid
Compiler

Compiled 483 to 345 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 4.0ms (51.9% of total)
ival-div: 2.0ms (26% of total)
ival-add: 1.0ms (13% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
33.1MiB live, 33.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.6651541913966343e+94
1.1609612412796804e+113
1.0ms
2.947188793609703e-23
1.1031627886765832e-9
Samples
7.0ms160×0valid
Compiler

Compiled 513 to 361 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (51% of total)
ival-div: 1.0ms (25.5% of total)
ival-add: 1.0ms (25.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.6651541913966343e+94
1.1609612412796804e+113
1.0ms
2.947188793609703e-23
1.1031627886765832e-9
Compiler

Compiled 463 to 331 computations (28.5% saved)

bsearch34.0ms (0.4%)

Memory
-8.8MiB live, 24.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
32.0ms
-1.6012645663924623e+39
-8.176478990559892e+34
Samples
20.0ms31×0exit
6.0ms128×0valid
Compiler

Compiled 189 to 139 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-exp: 21.0ms (93.2% of total)
ival-div: 1.0ms (4.4% of total)
ival-add: 1.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Memory
-19.4MiB live, 19.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
32.0ms
1.6651541913966343e+94
1.1609612412796804e+113
1.0ms
2.947188793609703e-23
1.1031627886765832e-9
Samples
27.0ms144×0valid
Compiler

Compiled 413 to 301 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (55.4% of total)
ival-div: 1.0ms (27.7% of total)
ival-add: 1.0ms (27.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
27.6MiB live, 27.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.6651541913966343e+94
1.1609612412796804e+113
14.0ms
0.008767682153180894
37466491447063.23
Samples
8.0ms160×0valid
Compiler

Compiled 363 to 271 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (63.3% of total)
ival-div: 1.0ms (21.1% of total)
ival-add: 1.0ms (21.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Memory
-23.4MiB live, 19.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
-12213.96426496497
-0.21981202195081237
Samples
11.0ms128×0valid
Compiler

Compiled 149 to 115 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 5.0ms (58.2% of total)
ival-exp: 2.0ms (23.3% of total)
ival-div: 1.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.008767682153180894
37466491447063.23
Compiler

Compiled 183 to 141 computations (23% saved)

simplify19.0ms (0.2%)

Memory
6.8MiB live, 32.3MiB allocated
Algorithm
1×egg-herbie
Rules
20×*-commutative_binary64
4×+-commutative_binary64
2×*-lft-identity_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097502
1113502
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 a #s(literal -6000000 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 -8219069319951155/562949953421312 binary64)) (+.f64 (exp.f64 b) #s(literal 1 binary64)) (if (<=.f64 b #s(literal 580000000000000002714290210054323590866826197729280 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
(if (<=.f64 b #s(literal -3602879701896397/2251799813685248 binary64)) (+.f64 (exp.f64 b) #s(literal 1 binary64)) (if (<=.f64 b #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))
(if (<=.f64 b #s(literal 2845706385096283/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))
(if (<=.f64 b #s(literal 332454600394023/302231454903657293676544 binary64)) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 16499999999999999963076820038661299956078437305235597598309367197382261156205442279096499306496 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal 332454600394023/302231454903657293676544 binary64)) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 332454600394023/302231454903657293676544 binary64)) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))))
(if (<=.f64 a #s(literal -85000000000000002867884413843144704 binary64)) (*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(if (<=.f64 b #s(literal 332454600394023/302231454903657293676544 binary64)) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 114999999999999998371753597415230815958808430774638681473196380978901452918680333359921758591205576446024383201280 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 340 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 114999999999999998371753597415230815958808430774638681473196380978901452918680333359921758591205576446024383201280 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 a #s(literal -2 binary64)) (*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 b #s(literal 340 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))))
(fma.f64 a #s(literal 1/4 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 a #s(literal -6000000 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 a #s(literal -6000000 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 -8219069319951155/562949953421312 binary64)) (+.f64 (exp.f64 b) #s(literal 1 binary64)) (if (<=.f64 b #s(literal 580000000000000002714290210054323590866826197729280 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
(if (<=.f64 b #s(literal -8219069319951155/562949953421312 binary64)) (+.f64 (exp.f64 b) #s(literal 1 binary64)) (if (<=.f64 b #s(literal 580000000000000002714290210054323590866826197729280 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
(if (<=.f64 b #s(literal -3602879701896397/2251799813685248 binary64)) (+.f64 (exp.f64 b) #s(literal 1 binary64)) (if (<=.f64 b #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))
(if (<=.f64 b #s(literal -3602879701896397/2251799813685248 binary64)) (+.f64 (exp.f64 b) #s(literal 1 binary64)) (if (<=.f64 b #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))
(if (<=.f64 b #s(literal 2845706385096283/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))
(if (<=.f64 b #s(literal 2845706385096283/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #s(literal -4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))
(if (<=.f64 b #s(literal 332454600394023/302231454903657293676544 binary64)) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 16499999999999999963076820038661299956078437305235597598309367197382261156205442279096499306496 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal 332454600394023/302231454903657293676544 binary64)) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 332454600394023/302231454903657293676544 binary64)) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))))
(if (<=.f64 a #s(literal -85000000000000002867884413843144704 binary64)) (*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(if (<=.f64 b #s(literal 332454600394023/302231454903657293676544 binary64)) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 114999999999999998371753597415230815958808430774638681473196380978901452918680333359921758591205576446024383201280 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 340 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 114999999999999998371753597415230815958808430774638681473196380978901452918680333359921758591205576446024383201280 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 a #s(literal -2 binary64)) (*.f64 b (*.f64 (*.f64 b b) #s(literal 1/48 binary64))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 b #s(literal 340 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

soundness1.7s (18.9%)

Memory
20.9MiB live, 1 283.4MiB allocated
Rules
18 438×lower-fma.f64
18 438×lower-fma.f32
15 886×lower-fma.f64
15 886×lower-fma.f32
13 698×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143878
1394868
21043868
33311818
08441755
05305013
115564802
246484670
083494397
0130663
1365656
2931656
33299646
47873646
08316574
01748
03148
113848
292148
0846348
032141
061132
1242117
21772116
08835116
0120740
1332725
2966708
33696677
08316640
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 325 to 690 computations (47.9% saved)

preprocess87.0ms (1%)

Memory
-5.0MiB live, 189.6MiB allocated
Compiler

Compiled 1 048 to 216 computations (79.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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