Quotient of sum of exps

Time bar (total: 7.3s)

analyze5.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%1.6%0%7
96%93.7%3.9%0.1%0%2.3%0%8
97.2%93.7%2.7%0.1%0%3.5%0%9
97.8%93.7%2.1%0.1%0%4.1%0%10
98.5%93.7%1.5%0.1%0%4.8%0%11
98.8%93.7%1.1%0.1%0%5.1%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample931.0ms (12.8%)

Memory
21.6MiB live, 1 497.2MiB allocated
Samples
418.0ms8 256×0valid
157.0ms3 096×0exit
Precisions
Click to see histograms. Total time spent on operations: 319.0ms
ival-exp: 172.0ms (53.9% of total)
ival-div: 75.0ms (23.5% of total)
ival-add: 60.0ms (18.8% of total)
ival-true: 8.0ms (2.5% of total)
ival-assert: 4.0ms (1.3% of total)
Bogosity

preprocess82.0ms (1.1%)

Memory
-5.0MiB live, 39.2MiB allocated
Algorithm
2×egg-herbie
Rules
434×div-sub
420×times-frac
300×distribute-lft-in
256×distribute-rgt-in
212×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01856
14256
27756
314656
426251
547151
665351
791851
8130851
9156351
10179650
11202750
12224250
13250950
14254450
15255250
16255450
068
178
078
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (exp a) (+ (exp a) (exp b)))
Outputs
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Call 2
Inputs
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp (neg a)) (+ (exp (neg a)) (exp b)))
(/ (exp a) (+ (exp a) (exp (neg b))))
(neg (/ (exp (neg a)) (+ (exp (neg a)) (exp b))))
(neg (/ (exp a) (+ (exp a) (exp (neg b)))))
(/ (exp b) (+ (exp b) (exp a)))
Outputs
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp (neg a)) (+ (exp (neg a)) (exp b)))
(/ 1 (+ 1 (exp (+ a b))))
(/ (exp a) (+ (exp a) (exp (neg b))))
(neg (/ (exp (neg a)) (+ (exp (neg a)) (exp b))))
(/ 1 (- -1 (exp (+ a b))))
(neg (/ (exp a) (+ (exp a) (exp (neg b)))))
(/ 1 (- -1 (exp (- (neg a) b))))
(/ (exp b) (+ (exp b) (exp a)))
(/ (exp b) (+ (exp a) (exp b)))

explain71.0ms (1%)

Memory
22.3MiB live, 140.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))o/o20
↳(exp.f64 a)overflow2
↳(+.f64 (exp.f64 a) (exp.f64 b))overflow75
↳(exp.f64 a)overflow2
↳(exp.f64 b)overflow73
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))u/u10
↳(exp.f64 a)underflow70
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow1
↳(exp.f64 a)underflow70
↳(exp.f64 b)underflow35
Confusion
Predicted +Predicted -
+30
-0253
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-00253
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms512×0valid
Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-exp: 7.0ms (51.4% of total)
ival-div: 3.0ms (22% of total)
ival-add: 2.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify5.0ms (0.1%)

Memory
-35.1MiB 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×exp-lowering-exp.f32
4×+-lowering-+.f64
4×+-lowering-+.f32
4×exp-lowering-exp.f64
2×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

localize23.0ms (0.3%)

Memory
3.2MiB live, 42.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(exp.f64 a)
✓accuracy98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
15.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 6.0ms (65.7% of total)
ival-div: 2.0ms (21.9% of total)
ival-add: 1.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (exp a)>
#<alt (+ (exp a) (exp b))>
#<alt (exp b)>
Outputs
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
Calls

18 calls:

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

rewrite341.0ms (4.7%)

Memory
12.6MiB live, 488.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 200×/-lowering-/.f32
5 200×/-lowering-/.f64
4 032×accelerator-lowering-fma.f32
4 032×accelerator-lowering-fma.f64
3 280×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
12817
219917
3192817
0863117
Stop Event
1×iter limit
1×node limit
Counts
4 → 314
Calls
Call 1
Inputs
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(exp b)
Outputs
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))))
(+.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b))))
(+.f64 (*.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(+.f64 (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(+.f64 (*.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) #s(literal -1 binary64)))
(exp.f64 (+.f64 a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) (neg.f64 a)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (neg.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 (neg.f64 a))) (/.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 (neg.f64 a))))
(-.f64 (/.f64 (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (neg.f64 a))) (/.f64 (/.f64 (exp.f64 (+.f64 a b)) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (neg.f64 a))))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(fma.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a)) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))))
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 a) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b))))
(neg.f64 (neg.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))) (exp.f64 (*.f64 a #s(literal 4 binary64))))) (*.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 3 binary64))))))
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(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (pow.f64 (neg.f64 (neg.f64 (exp.f64 b))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (*.f64 (neg.f64 (neg.f64 (exp.f64 b))) (neg.f64 (neg.f64 (exp.f64 b)))) (*.f64 (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 (exp.f64 b))) #s(literal 3 binary64)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (fma.f64 (neg.f64 (neg.f64 (exp.f64 b))) (neg.f64 (neg.f64 (exp.f64 b))) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 (neg.f64 (neg.f64 (exp.f64 b))) (exp.f64 a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a)))))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(*.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))) (exp.f64 (*.f64 a #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))) (+.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (*.f64 a #s(literal 9 binary64))) (exp.f64 (*.f64 b #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(exp.f64 b)
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))

simplify433.0ms (5.9%)

Memory
-9.9MiB live, 525.1MiB allocated
Algorithm
1×egg-herbie
Rules
18 438×accelerator-lowering-fma.f32
18 438×accelerator-lowering-fma.f64
4 430×*-lowering-*.f32
4 430×*-lowering-*.f64
2 966×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval43.0ms (0.6%)

Memory
-2.8MiB live, 72.4MiB allocated
Compiler

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

prune68.0ms (0.9%)

Memory
-7.8MiB live, 69.1MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4103413
Fresh000
Picked101
Done000
Total4113414
Accuracy
99.4%
Counts
414 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶70.0%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶81.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶98.8%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify15.0ms (0.2%)

Memory
20.4MiB live, 20.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓cost-diff0
(exp.f64 a)
✓cost-diff6272
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓cost-diff0
(exp.f64 b)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(+.f64 (exp.f64 a) (exp.f64 b))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
✓cost-diff13056
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
Rules
132×*-lowering-*.f32
132×*-lowering-*.f64
108×accelerator-lowering-fma.f32
108×accelerator-lowering-fma.f64
72×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01466
12666
24661
38660
414560
522160
627560
731060
833460
934660
1034860
034860
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (* (+ (exp a) (exp b)) (exp (neg a))))
1
(* (+ (exp a) (exp b)) (exp (neg a)))
(+ (exp a) (exp b))
(exp a)
a
(exp b)
b
(exp (neg a))
(neg a)
(/ 1 (+ 1 (exp b)))
1
(+ 1 (exp b))
(exp b)
b
(/ (exp a) (+ (exp a) 1))
(exp a)
a
(+ (exp a) 1)
1
Outputs
(/ 1 (* (+ (exp a) (exp b)) (exp (neg a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
1
#s(literal 1 binary64)
(* (+ (exp a) (exp b)) (exp (neg a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp a)
(exp.f64 a)
a
(exp b)
(exp.f64 b)
b
(exp (neg a))
(exp.f64 (neg.f64 a))
(neg a)
(neg.f64 a)
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
1
#s(literal 1 binary64)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp b)
(exp.f64 b)
b
(/ (exp a) (+ (exp a) 1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(exp a)
(exp.f64 a)
a
(+ (exp a) 1)
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1
#s(literal 1 binary64)

localize50.0ms (0.7%)

Memory
-13.5MiB live, 66.7MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓accuracy100.0%
(exp.f64 a)
✓accuracy99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓accuracy100.0%
(exp.f64 (neg.f64 a))
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(exp.f64 a)
✓accuracy98.9%
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
Samples
29.0ms256×0valid
Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-exp: 6.0ms (36.3% of total)
ival-div: 5.0ms (30.2% of total)
ival-add: 3.0ms (18.1% of total)
ival-mult: 2.0ms (12.1% of total)
ival-neg: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
10 → 156
Calls
Call 1
Inputs
#<alt (* (+ (exp a) (exp b)) (exp (neg a)))>
#<alt (/ 1 (* (+ (exp a) (exp b)) (exp (neg a))))>
#<alt (+ (exp a) (exp b))>
#<alt (exp a)>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (exp b)>
#<alt (/ (exp a) (+ (exp a) 1))>
#<alt (+ (exp a) 1)>
#<alt (exp (neg a))>
Outputs
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ 1 (exp a)))>
#<alt (+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (/ 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 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))>
#<alt (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))>
#<alt (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg 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 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt 1>
#<alt (+ 1 (* -1 a))>
#<alt (+ 1 (* a (- (* 1/2 a) 1)))>
#<alt (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))>
#<alt (exp (neg a))>
#<alt (exp (neg a))>
#<alt (exp (neg a))>
#<alt (exp (neg a))>
#<alt (exp (* -1 a))>
#<alt (exp (* -1 a))>
#<alt (exp (* -1 a))>
#<alt (exp (* -1 a))>
Calls

39 calls:

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

rewrite330.0ms (4.5%)

Memory
-20.6MiB live, 449.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 298×*-lowering-*.f32
3 298×*-lowering-*.f64
3 116×accelerator-lowering-fma.f32
3 116×accelerator-lowering-fma.f64
2 734×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01453
17751
255148
3521748
0850647
Stop Event
1×iter limit
1×node limit
Counts
10 → 613
Calls
Call 1
Inputs
(* (+ (exp a) (exp b)) (exp (neg a)))
(/ 1 (* (+ (exp a) (exp b)) (exp (neg a))))
(+ (exp a) (exp b))
(exp a)
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(exp b)
(/ (exp a) (+ (exp a) 1))
(+ (exp a) 1)
(exp (neg a))
Outputs
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a))))
(+.f64 (exp.f64 (+.f64 b (neg.f64 a))) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (exp.f64 (+.f64 b (neg.f64 a)))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (+.f64 b (neg.f64 a)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (+.f64 b (neg.f64 a))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 b (neg.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)))
(fma.f64 (exp.f64 b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 b (neg.f64 a))) #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 b (neg.f64 a)))))
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
(/.f64 (exp.f64 (neg.f64 a)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(/.f64 #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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (fma.f64 b #s(literal 3 binary64) (neg.f64 a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 a) (*.f64 (exp.f64 (neg.f64 a)) (neg.f64 (exp.f64 (+.f64 b b)))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 b (neg.f64 a))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (exp.f64 a))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 b (neg.f64 a)))) #s(literal -1 binary64))
(/.f64 (+.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 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))
(/.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.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 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (exp.f64 a) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (neg.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 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (exp.f64 (neg.f64 a))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (fma.f64 b #s(literal 3 binary64) (neg.f64 a)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(/.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (fma.f64 b #s(literal 3 binary64) (neg.f64 a)))) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (fma.f64 b #s(literal 3 binary64) (neg.f64 a)))) (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(/.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 (neg.f64 a)) (neg.f64 (exp.f64 (+.f64 b b))))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 (neg.f64 a)) (neg.f64 (exp.f64 (+.f64 b b))))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (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 (exp.f64 a) (exp.f64 b)) (neg.f64 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (exp.f64 a)))
(/.f64 (*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (*.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (neg.f64 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)))
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (exp.f64 a))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) #s(literal -1 binary64)) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (neg.f64 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (neg.f64 a))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(/.f64 (*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (neg.f64 a))) (*.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 (neg.f64 a))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 (neg.f64 a))) (*.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (neg.f64 a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (neg.f64 a))) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (*.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (*.f64 (exp.f64 a) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (*.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (*.f64 (neg.f64 (exp.f64 a)) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) (*.f64 (neg.f64 (exp.f64 a)) (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (fma.f64 b #s(literal 3 binary64) (neg.f64 a))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 (neg.f64 a)) (neg.f64 (exp.f64 (+.f64 b b)))))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b (neg.f64 a)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 (+.f64 b (neg.f64 a)) (+.f64 b (neg.f64 a)))) (exp.f64 (+.f64 b (neg.f64 a))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b (neg.f64 a)) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 (+.f64 b (neg.f64 a)) (+.f64 b (neg.f64 a)))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (+.f64 b (neg.f64 a)) (+.f64 b (neg.f64 a))))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a)))))
(/.f64 (expm1.f64 (+.f64 (+.f64 b (neg.f64 a)) (+.f64 b (neg.f64 a)))) (expm1.f64 (+.f64 b (neg.f64 a))))
(/.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) (neg.f64 (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 (neg.f64 a)) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(/.f64 (*.f64 (exp.f64 (neg.f64 a)) (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (*.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 (neg.f64 a)) (neg.f64 (exp.f64 (+.f64 b b))))) #s(literal 1 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (fma.f64 b #s(literal 3 binary64) (neg.f64 a)))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a)))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a)))) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (exp.f64 (neg.f64 a)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(/.f64 (/.f64 (exp.f64 (neg.f64 a)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (-.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a)))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.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))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (fma.f64 b #s(literal 3 binary64) (neg.f64 a))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 a) (*.f64 (exp.f64 (neg.f64 a)) (neg.f64 (exp.f64 (+.f64 b b)))))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a)))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 b (neg.f64 a)))))
(*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 b (neg.f64 a)))) #s(literal -1 binary64))
(*.f64 (+.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 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (exp.f64 a)))
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 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 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)))
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (/.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))
(*.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (exp.f64 (neg.f64 a))))
(*.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (exp.f64 (neg.f64 a))) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (neg.f64 (exp.f64 (neg.f64 a))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)))
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(fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (*.f64 a #s(literal 3 binary64)))) (fma.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a))))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (expm1.f64 (+.f64 a a)) (neg.f64 (neg.f64 (expm1.f64 a))))
(/.f64 (expm1.f64 (+.f64 a a)) (*.f64 #s(literal 1 binary64) (expm1.f64 a)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 9 binary64)))) (*.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))
(/.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) (*.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (expm1.f64 (*.f64 a #s(literal 3 binary64)))))
(/.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) (*.f64 (expm1.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))
(/.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) (*.f64 (expm1.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (*.f64 (expm1.f64 a) #s(literal 1 binary64))) (pow.f64 (expm1.f64 a) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 9 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 a #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (expm1.f64 a)))
(/.f64 (*.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (expm1.f64 a)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 a a)))) (expm1.f64 a))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 a a)))) (neg.f64 (neg.f64 (expm1.f64 a))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (neg.f64 (expm1.f64 a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 a) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (expm1.f64 a) #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) #s(literal 2 binary64)) (pow.f64 (expm1.f64 a) #s(literal -2 binary64))) (+.f64 (/.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (expm1.f64 (*.f64 a #s(literal 3 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
(pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 (expm1.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (expm1.f64 a) (expm1.f64 a)))
(*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (*.f64 (expm1.f64 a) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) (expm1.f64 (+.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))
(*.f64 (/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (neg.f64 (expm1.f64 a)) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (expm1.f64 a)) (-.f64 (neg.f64 (expm1.f64 a)) (exp.f64 (+.f64 a a))) (exp.f64 (*.f64 a #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (neg.f64 (expm1.f64 a)) #s(literal 2 binary64)))) (+.f64 (expm1.f64 (+.f64 a a)) (exp.f64 a)))
(*.f64 (/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 (*.f64 a #s(literal 3 binary64)))) (fma.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 a))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) a))
(exp.f64 (*.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 a))))
(/.f64 (exp.f64 (neg.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 (neg.f64 (exp.f64 (neg.f64 a))) #s(literal -1 binary64))
(pow.f64 (exp.f64 a) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (+.f64 a a)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) a)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 a) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (exp.f64 (*.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 a #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 a #s(literal 2 binary64)))
(*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 a))))
(*.f64 (exp.f64 (*.f64 a #s(literal -1/2 binary64))) (exp.f64 (*.f64 a #s(literal -1/2 binary64))))
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 a #s(literal 2 binary64)))))

simplify378.0ms (5.2%)

Memory
22.4MiB live, 501.6MiB allocated
Algorithm
1×egg-herbie
Rules
12 648×accelerator-lowering-fma.f32
12 648×accelerator-lowering-fma.f64
4 806×*-lowering-*.f32
4 806×*-lowering-*.f64
3 334×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02071535
15751361
215461317
351971234
081311159
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
(+ 1 (exp b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ 1 (exp a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
1
(+ 1 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(exp (neg a))
(exp (neg a))
(exp (neg a))
(exp (neg a))
(exp (* -1 a))
(exp (* -1 a))
(exp (* -1 a))
(exp (* -1 a))
Outputs
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(fma.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(+.f64 (fma.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 (exp.f64 b) #s(literal 1/2 binary64)))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 a a) (*.f64 (exp.f64 b) (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ 1 (exp a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 (exp.f64 (neg.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)) #s(literal 1 binary64))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (+.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (*.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)))))) (fma.f64 (+.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (-.f64 (fma.f64 a (fma.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (-.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)) (fma.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1/2 binary64))))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)))) (*.f64 a a) (fma.f64 (+.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (fma.f64 b (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) b) (*.f64 b (-.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (fma.f64 #s(literal -1/2 binary64) b #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) a))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 (* -1 a))
(-.f64 #s(literal 1 binary64) a)
(+ 1 (* a (- (* 1/2 a) 1)))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(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 (neg a))
(exp.f64 (neg.f64 a))
(exp (neg a))
(exp.f64 (neg.f64 a))
(exp (neg a))
(exp.f64 (neg.f64 a))
(exp (neg a))
(exp.f64 (neg.f64 a))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(exp (* -1 a))
(exp.f64 (neg.f64 a))

eval128.0ms (1.8%)

Memory
7.2MiB live, 156.4MiB allocated
Compiler

Compiled 14 627 to 2 153 computations (85.3% saved)

prune107.0ms (1.5%)

Memory
16.1MiB live, 250.5MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New87410884
Fresh000
Picked213
Done000
Total87611887
Accuracy
100.0%
Counts
887 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶41.4%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
▶43.1%
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
▶43.1%
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
43.2%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
69.5%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
61.6%
(/.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)))
58.8%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
42.0%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
▶70.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
✓81.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶43.2%
#s(literal 1/2 binary64)
Compiler

Compiled 186 to 140 computations (24.7% saved)

simplify23.0ms (0.3%)

Memory
-1.6MiB live, 34.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64))
✓cost-diff0
(*.f64 a a)
✓cost-diff0
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
✓cost-diff0
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 a #s(literal -1/48 binary64))
✓cost-diff0
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
✓cost-diff0
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #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
(neg.f64 a)
✓cost-diff0
(exp.f64 (neg.f64 a))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
Rules
576×accelerator-lowering-fma.f32
576×accelerator-lowering-fma.f64
268×+-lowering-+.f64
268×+-lowering-+.f32
186×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02698
16898
215298
324398
428298
529998
638198
747198
847798
047788
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (neg a))))
1
(+ 1 (exp (neg a)))
(exp (neg a))
(neg a)
a
1/2
(+ (* b -1/4) 1/2)
b
-1/4
1/2
(+ (* a (+ (* a (* a -1/48)) 1/4)) 1/2)
a
(+ (* a (* a -1/48)) 1/4)
(* a -1/48)
-1/48
1/4
1/2
(+ (* a (+ (* (* a a) (+ (* (* a a) 1/480) -1/48)) 1/4)) 1/2)
a
(+ (* (* a a) (+ (* (* a a) 1/480) -1/48)) 1/4)
(* a a)
(+ (* (* a a) 1/480) -1/48)
1/480
-1/48
1/4
1/2
Outputs
(/ 1 (+ 1 (exp (neg a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
1
#s(literal 1 binary64)
(+ 1 (exp (neg a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp (neg a))
(exp.f64 (neg.f64 a))
(neg a)
(neg.f64 a)
a
1/2
#s(literal 1/2 binary64)
(+ (* b -1/4) 1/2)
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
b
-1/4
#s(literal -1/4 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* a (+ (* a (* a -1/48)) 1/4)) 1/2)
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
a
(+ (* a (* a -1/48)) 1/4)
(fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))
(* a -1/48)
(*.f64 a #s(literal -1/48 binary64))
-1/48
#s(literal -1/48 binary64)
1/4
#s(literal 1/4 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* a (+ (* (* a a) (+ (* (* a a) 1/480) -1/48)) 1/4)) 1/2)
(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))
a
(+ (* (* a a) (+ (* (* a a) 1/480) -1/48)) 1/4)
(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))
(* a a)
(*.f64 a a)
(+ (* (* a a) 1/480) -1/48)
(fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64))
1/480
#s(literal 1/480 binary64)
-1/48
#s(literal -1/48 binary64)
1/4
#s(literal 1/4 binary64)
1/2
#s(literal 1/2 binary64)

localize80.0ms (1.1%)

Memory
-23.7MiB live, 144.2MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 a a)
✓accuracy100.0%
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
✓accuracy99.9%
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64))
✓accuracy100.0%
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓accuracy99.9%
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
✓accuracy99.5%
(*.f64 a #s(literal -1/48 binary64))
✓accuracy100.0%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(neg.f64 a)
✓accuracy100.0%
(exp.f64 (neg.f64 a))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
Samples
52.0ms256×0valid
Compiler

Compiled 90 to 28 computations (68.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 18.0ms (47.1% of total)
ival-add: 8.0ms (20.9% of total)
const: 7.0ms (18.3% of total)
ival-div: 2.0ms (5.2% of total)
ival-exp: 2.0ms (5.2% of total)
exact: 1.0ms (2.6% of total)
ival-neg: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (exp (neg a))))>
#<alt (+ 1 (exp (neg a)))>
#<alt (exp (neg a))>
#<alt (neg a)>
#<alt (+ (* b -1/4) 1/2)>
#<alt (+ (* a (+ (* a (* a -1/48)) 1/4)) 1/2)>
#<alt (+ (* a (* a -1/48)) 1/4)>
#<alt (* a -1/48)>
#<alt (+ (* a (+ (* (* a a) (+ (* (* a a) 1/480) -1/48)) 1/4)) 1/2)>
#<alt (+ (* (* a a) (+ (* (* a a) 1/480) -1/48)) 1/4)>
#<alt (* a a)>
#<alt (+ (* (* a a) 1/480) -1/48)>
Outputs
#<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 (/ 1 (+ 1 (exp (neg a))))>
#<alt (/ 1 (+ 1 (exp (neg a))))>
#<alt (/ 1 (+ 1 (exp (neg a))))>
#<alt (/ 1 (+ 1 (exp (neg a))))>
#<alt (/ 1 (+ 1 (exp (* -1 a))))>
#<alt (/ 1 (+ 1 (exp (* -1 a))))>
#<alt (/ 1 (+ 1 (exp (* -1 a))))>
#<alt (/ 1 (+ 1 (exp (* -1 a))))>
#<alt 2>
#<alt (+ 2 (* -1 a))>
#<alt (+ 2 (* a (- (* 1/2 a) 1)))>
#<alt (+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))>
#<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>
#<alt (+ 1 (* -1 a))>
#<alt (+ 1 (* a (- (* 1/2 a) 1)))>
#<alt (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))>
#<alt (exp (neg a))>
#<alt (exp (neg a))>
#<alt (exp (neg a))>
#<alt (exp (neg a))>
#<alt (exp (* -1 a))>
#<alt (exp (* -1 a))>
#<alt (exp (* -1 a))>
#<alt (exp (* -1 a))>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 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 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))>
#<alt (* 1/480 (pow a 5))>
#<alt (* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 5) (- (+ 1/480 (+ (/ 1/4 (pow a 4)) (* 1/2 (/ 1 (pow a 5))))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* 1/480 (pow a 5))>
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))>
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))>
#<alt (* -1 (* (pow a 5) (- (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 4))) (* 1/48 (/ 1 (pow a 2)))) 1/480)))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))>
#<alt (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))>
#<alt (* 1/480 (pow a 4))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* 1/480 (pow a 4))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (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 -1/48>
#<alt (- (* 1/480 (pow a 2)) 1/48)>
#<alt (- (* 1/480 (pow a 2)) 1/48)>
#<alt (- (* 1/480 (pow a 2)) 1/48)>
#<alt (* 1/480 (pow a 2))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* 1/480 (pow a 2))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
a
@inf
(+ (* a (+ (* a (* a -1/48)) 1/4)) 1/2)
0.0ms
a
@inf
(/ 1 (+ 1 (exp (neg a))))
0.0ms
a
@-inf
(/ 1 (+ 1 (exp (neg a))))
0.0ms
a
@-inf
(+ (* a (+ (* a (* a -1/48)) 1/4)) 1/2)
0.0ms
a
@-inf
(+ (* a (+ (* (* a a) (+ (* (* a a) 1/480) -1/48)) 1/4)) 1/2)

rewrite349.0ms (4.8%)

Memory
21.6MiB live, 638.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 284×accelerator-lowering-fma.f32
5 284×accelerator-lowering-fma.f64
4 666×*-lowering-*.f32
4 666×*-lowering-*.f64
4 396×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02683
116183
2127383
0833773
Stop Event
1×iter limit
1×node limit
Counts
12 → 421
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (neg a))))
(+ 1 (exp (neg a)))
(exp (neg a))
(neg a)
(+ (* b -1/4) 1/2)
(+ (* a (+ (* a (* a -1/48)) 1/4)) 1/2)
(+ (* a (* a -1/48)) 1/4)
(* a -1/48)
(+ (* a (+ (* (* a a) (+ (* (* a a) 1/480) -1/48)) 1/4)) 1/2)
(+ (* (* a a) (+ (* (* a a) 1/480) -1/48)) 1/4)
(* a a)
(+ (* (* a a) 1/480) -1/48)
Outputs
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))) (/.f64 (exp.f64 (neg.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)) #s(literal -1/110592 binary64))) (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) #s(literal -1/23040 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)) #s(literal -1/110592 binary64))) (neg.f64 (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64))) (*.f64 (*.f64 a a) #s(literal -1/23040 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64)) #s(literal -1/2304 binary64))) (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64))))
(/.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64)))) (-.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64))) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64)) #s(literal 1/2304 binary64))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64))) (*.f64 #s(literal 1/12230590464000000 binary64) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) #s(literal -1/1352605460594688 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/12230590464000000 binary64) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1/12230590464 binary64) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) #s(literal -1/12230590464000 binary64)))) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) #s(literal -1/23040 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12230590464000000 binary64) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) #s(literal -1/12230590464 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)) #s(literal 1/110592 binary64)) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) #s(literal -1/23040 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12230590464000000 binary64) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) #s(literal -1/12230590464 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1/53084160000 binary64) (+.f64 #s(literal 1/5308416 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/530841600 binary64)))) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1/53084160000 binary64) #s(literal -1/5308416 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64)) #s(literal 1/2304 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)) #s(literal -1/110592 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) #s(literal -1/23040 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64)) #s(literal -1/2304 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64))))) (neg.f64 (-.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64))) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64))) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64))) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64))) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64))) (fma.f64 (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64))) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64))) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64))) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64))) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64)))) (*.f64 (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64))) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)) #s(literal -1/110592 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) #s(literal -1/23040 binary64))))))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)) #s(literal -1/110592 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64))) (*.f64 (*.f64 a a) #s(literal -1/23040 binary64))))))
(*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64)) #s(literal -1/2304 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)) #s(literal -1/110592 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) #s(literal -1/23040 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64)) #s(literal -1/2304 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal 1/48 binary64)))))
(*.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/230400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))

simplify221.0ms (3%)

Memory
13.4MiB live, 446.2MiB allocated
Algorithm
1×egg-herbie
Rules
6 932×accelerator-lowering-fma.f32
6 932×accelerator-lowering-fma.f64
2 768×*-lowering-*.f32
2 768×*-lowering-*.f64
1 706×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114888
1282885
2757885
32273880
45892880
08545811
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ 1 (+ 1 (exp (neg a))))
(/ 1 (+ 1 (exp (neg a))))
(/ 1 (+ 1 (exp (neg a))))
(/ 1 (+ 1 (exp (neg a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/ 1 (+ 1 (exp (* -1 a))))
2
(+ 2 (* -1 a))
(+ 2 (* a (- (* 1/2 a) 1)))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
1
(+ 1 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(exp (neg a))
(exp (neg a))
(exp (neg a))
(exp (neg a))
(exp (* -1 a))
(exp (* -1 a))
(exp (* -1 a))
(exp (* -1 a))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 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)))))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
1/4
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(* 1/480 (pow a 5))
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 5) (- (+ 1/480 (+ (/ 1/4 (pow a 4)) (* 1/2 (/ 1 (pow a 5))))) (* 1/48 (/ 1 (pow a 2)))))
(* 1/480 (pow a 5))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))
(* -1 (* (pow a 5) (- (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 4))) (* 1/48 (/ 1 (pow a 2)))) 1/480)))
1/4
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))
(+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))
(* 1/480 (pow a 4))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* 1/480 (pow a 4))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (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)
-1/48
(- (* 1/480 (pow a 2)) 1/48)
(- (* 1/480 (pow a 2)) 1/48)
(- (* 1/480 (pow a 2)) 1/48)
(* 1/480 (pow a 2))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* 1/480 (pow a 2))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp (neg a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ 1 (+ 1 (exp (neg a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ 1 (+ 1 (exp (neg a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ 1 (+ 1 (exp (neg a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
2
#s(literal 2 binary64)
(+ 2 (* -1 a))
(-.f64 #s(literal 2 binary64) a)
(+ 2 (* a (- (* 1/2 a) 1)))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 1 (exp (neg a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (neg a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (neg a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (neg a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (* -1 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (* -1 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (* -1 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (* -1 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
1
#s(literal 1 binary64)
(+ 1 (* -1 a))
(-.f64 #s(literal 1 binary64) a)
(+ 1 (* a (- (* 1/2 a) 1)))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(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 (neg a))
(exp.f64 (neg.f64 a))
(exp (neg a))
(exp.f64 (neg.f64 a))
(exp (neg a))
(exp.f64 (neg.f64 a))
(exp (neg a))
(exp.f64 (neg.f64 a))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(*.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* -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))))))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (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))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/48 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* -1/48 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* -1/48 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(* 1/480 (pow a 5))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* (pow a 5) (- (+ 1/480 (+ (/ 1/4 (pow a 4)) (* 1/2 (/ 1 (pow a 5))))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (+.f64 (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 5 binary64))))))
(* 1/480 (pow a 5))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* -1 (* (pow a 5) (- (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 4))) (* 1/48 (/ 1 (pow a 2)))) 1/480)))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/48 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))
(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))
(+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))
(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))
(* 1/480 (pow a 4))
(*.f64 (*.f64 a a) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* 1/480 (pow a 4))
(*.f64 (*.f64 a a) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal -1/48 binary64) (*.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)
-1/48
#s(literal -1/48 binary64)
(- (* 1/480 (pow a 2)) 1/48)
(fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64))
(- (* 1/480 (pow a 2)) 1/48)
(fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64))
(- (* 1/480 (pow a 2)) 1/48)
(fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64))
(* 1/480 (pow a 2))
(*.f64 a (*.f64 a #s(literal 1/480 binary64)))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64))
(* 1/480 (pow a 2))
(*.f64 a (*.f64 a #s(literal 1/480 binary64)))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64))

eval78.0ms (1.1%)

Memory
-24.7MiB live, 182.1MiB allocated
Compiler

Compiled 15 709 to 1 596 computations (89.8% saved)

prune210.0ms (2.9%)

Memory
-3.6MiB live, 155.4MiB allocated
Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New5767583
Fresh055
Picked055
Done011
Total57618594
Accuracy
100.0%
Counts
594 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓41.4%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
✓43.1%
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓43.1%
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
43.2%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
▶69.5%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
61.6%
(/.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)))
▶58.8%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
58.8%
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
56.5%
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
43.9%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
▶42.0%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓70.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
✓81.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
43.1%
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))) (*.f64 a #s(literal 1/4 binary64)))
▶14.4%
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
16.9%
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
▶3.8%
(*.f64 #s(literal -1/4 binary64) b)
✓43.2%
#s(literal 1/2 binary64)
Compiler

Compiled 277 to 213 computations (23.1% saved)

simplify7.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 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 #s(literal -1/48 binary64))
✓cost-diff0
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
✓cost-diff0
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 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 2 binary64))
Rules
80×*-lowering-*.f32
80×*-lowering-*.f64
64×accelerator-lowering-fma.f32
64×accelerator-lowering-fma.f64
28×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02070
14070
25968
38668
48668
08663
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (exp a) 2)
(exp a)
a
2
(* -1/4 b)
-1/4
b
(/ 1 (+ b 2))
1
(+ b 2)
b
2
(* a (* a (* a -1/48)))
a
(* a (* a -1/48))
(* a -1/48)
-1/48
(/ 1 (+ (* b (+ (* b 1/2) 1)) 2))
1
(+ (* b (+ (* b 1/2) 1)) 2)
b
(+ (* b 1/2) 1)
1/2
2
Outputs
(/ (exp a) 2)
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(exp a)
(exp.f64 a)
a
2
#s(literal 2 binary64)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
-1/4
#s(literal -1/4 binary64)
b
(/ 1 (+ b 2))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b))
1
#s(literal 1 binary64)
(+ b 2)
(+.f64 #s(literal 2 binary64) b)
b
2
#s(literal 2 binary64)
(* a (* a (* a -1/48)))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
a
(* a (* a -1/48))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* a -1/48)
(*.f64 a #s(literal -1/48 binary64))
-1/48
#s(literal -1/48 binary64)
(/ 1 (+ (* b (+ (* b 1/2) 1)) 2))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ (* b (+ (* b 1/2) 1)) 2)
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(+ (* b 1/2) 1)
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)

localize67.0ms (0.9%)

Memory
7.6MiB live, 116.6MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓accuracy99.9%
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
✓accuracy99.8%
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
✓accuracy99.5%
(*.f64 a #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 2 binary64))
✓accuracy100.0%
(exp.f64 a)
Samples
46.0ms256×0valid
Compiler

Compiled 67 to 22 computations (67.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-add: 11.0ms (33% of total)
ival-mult: 9.0ms (27% of total)
ival-div: 7.0ms (21% of total)
const: 4.0ms (12% of total)
ival-exp: 2.0ms (6% 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
18.1MiB live, 18.1MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#<alt (/ (exp a) 2)>
#<alt (exp a)>
#<alt (* -1/4 b)>
#<alt (/ 1 (+ b 2))>
#<alt (+ b 2)>
#<alt (* a (* a (* a -1/48)))>
#<alt (* a (* a -1/48))>
#<alt (* a -1/48)>
#<alt (/ 1 (+ (* b (+ (* b 1/2) 1)) 2))>
#<alt (+ (* b (+ (* b 1/2) 1)) 2)>
#<alt (+ (* b 1/2) 1)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 a))>
#<alt (+ 1/2 (* a (+ 1/2 (* 1/4 a))))>
#<alt (+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (* -1/4 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 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<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

33 calls:

TimeVariablePointExpression
3.0ms
b
@-inf
(* -1/4 b)
0.0ms
a
@0
(* a (* a (* a -1/48)))
0.0ms
b
@-inf
(/ 1 (+ (* b (+ (* b 1/2) 1)) 2))
0.0ms
b
@inf
(/ 1 (+ (* b (+ (* b 1/2) 1)) 2))
0.0ms
b
@inf
(* -1/4 b)

rewrite586.0ms (8%)

Memory
-119.2MiB live, 483.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 818×accelerator-lowering-fma.f32
4 818×accelerator-lowering-fma.f64
3 798×*-lowering-*.f32
3 798×*-lowering-*.f64
2 512×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02057
19957
258355
3546655
0803550
Stop Event
1×iter limit
1×node limit
Counts
11 → 490
Calls
Call 1
Inputs
(/ (exp a) 2)
(exp a)
(* -1/4 b)
(/ 1 (+ b 2))
(+ b 2)
(* a (* a (* a -1/48)))
(* a (* a -1/48))
(* a -1/48)
(/ 1 (+ (* b (+ (* b 1/2) 1)) 2))
(+ (* b (+ (* b 1/2) 1)) 2)
(+ (* b 1/2) 1)
Outputs
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (exp.f64 a) #s(literal 1/2 binary64)))) #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 1/2 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 (exp.f64 a) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #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) (exp.f64 (*.f64 (neg.f64 a) #s(literal -1 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 #s(literal -1/2 binary64) (neg.f64 (exp.f64 a)))
(*.f64 (pow.f64 (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 a))) #s(literal -1/2 binary64))
(exp.f64 a)
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 a)))
(neg.f64 (neg.f64 (exp.f64 a)))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 b #s(literal -1/4 binary64))
(*.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.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))) (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (fma.f64 b #s(literal -2 binary64) #s(literal 4 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 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64)))))
(+.f64 (*.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 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 (neg.f64 (log.f64 (+.f64 #s(literal 2 binary64) b))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 2 binary64) b) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 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 #s(literal 2 binary64) b) (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 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64)))))
(fma.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 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))) (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (fma.f64 b #s(literal -2 binary64) #s(literal 4 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)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) b))
(/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 b (*.f64 b b) #s(literal 8 binary64)))
(/.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 (fma.f64 b b #s(literal -4 binary64)) (+.f64 #s(literal 2 binary64) b)))
(/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64)))
(/.f64 (neg.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 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))))
(/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64))))) (*.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (fma.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 (fma.f64 b (*.f64 b b) #s(literal -8 binary64)) (*.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 b b (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b))) (*.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (+.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)))))) (*.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (fma.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)))) (*.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (+.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (*.f64 (fma.f64 b b #s(literal -4 binary64)) (+.f64 #s(literal 2 binary64) b)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal -8 binary64))) (*.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 b b (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)))))) (fma.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (*.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)))) (+.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (fma.f64 b b #s(literal -4 binary64))) (+.f64 #s(literal 2 binary64) b))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (fma.f64 b (*.f64 b b) #s(literal -8 binary64))) (fma.f64 b b (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))))
(pow.f64 (+.f64 #s(literal 2 binary64) b) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) b) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) b)))
(*.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 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 #s(literal 2 binary64) b) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (pow.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 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 b #s(literal -2 binary64)) #s(literal 1 binary64)))
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(/.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 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.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 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) #s(literal 1/512 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1/16 binary64) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/4 binary64))) (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (*.f64 (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))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) #s(literal 1/512 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)))) (fma.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (fma.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1/16 binary64) (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 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1/16 binary64) #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 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))) (fma.f64 (*.f64 b b) (/.f64 #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 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) #s(literal 1/512 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1/16 binary64) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1/16 binary64) #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))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (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 b #s(literal 1/2 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 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (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)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1 binary64)) (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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/4 binary64)))) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.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)) (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 1/64 binary64)))) (fma.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 (*.f64 b b) #s(literal 1/4 binary64))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1/16 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 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 (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 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)))) (fma.f64 b (fma.f64 b #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

simplify391.0ms (5.4%)

Memory
-13.8MiB live, 577.8MiB allocated
Algorithm
1×egg-herbie
Rules
14 836×accelerator-lowering-fma.f32
14 836×accelerator-lowering-fma.f64
3 794×*-lowering-*.f32
3 794×*-lowering-*.f64
2 626×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147707
1418694
2937694
33129690
46847690
08244644
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/2 a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(* -1/4 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 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
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
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(* -1/4 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 b b)) (+.f64 b #s(literal -2 binary64)))
(/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))
(/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) b)) b) #s(literal -2 binary64)) b)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (* 2 (/ 1 b)) 1) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 b #s(literal -2 binary64)))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) b)) b) #s(literal -2 binary64)) b)) 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 (pow a 3))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 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 (- (* 1/16 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(fma.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal -1/32 binary64) #s(literal 1/16 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b)) (*.f64 b b))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b)) (/.f64 #s(literal -32 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) (*.f64 b b))) (/.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))

eval76.0ms (1%)

Memory
9.3MiB live, 161.4MiB allocated
Compiler

Compiled 13 673 to 1 480 computations (89.2% saved)

prune82.0ms (1.1%)

Memory
-6.7MiB live, 191.3MiB allocated
Pruning

23 alts after pruning (14 fresh and 9 done)

PrunedKeptTotal
New6157622
Fresh077
Picked235
Done066
Total61723640
Accuracy
100.0%
Counts
640 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓41.4%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
✓43.1%
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓43.1%
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
43.2%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
42.8%
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
20.7%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
61.6%
(/.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)))
58.8%
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
56.5%
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
20.3%
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
43.9%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
✓42.0%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓70.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
✓81.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
3.5%
(/.f64 #s(literal 1 binary64) b)
43.1%
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))) (*.f64 a #s(literal 1/4 binary64)))
46.6%
(*.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
14.4%
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
69.5%
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
✓14.4%
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
16.9%
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
✓3.8%
(*.f64 #s(literal -1/4 binary64) b)
✓43.2%
#s(literal 1/2 binary64)
Compiler

Compiled 415 to 237 computations (42.9% saved)

regimes50.0ms (0.7%)

Memory
-43.3MiB live, 79.7MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))) (*.f64 a #s(literal 1/4 binary64)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
Calls

5 calls:

18.0ms
a
9.0ms
b
8.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(exp.f64 b)
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.8%1a
98.8%1b
98.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%1(exp.f64 a)
98.8%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes38.0ms (0.5%)

Memory
33.8MiB live, 72.9MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))) (*.f64 a #s(literal 1/4 binary64)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

8.0ms
b
8.0ms
a
7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(exp.f64 b)
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.8%1a
98.8%1b
98.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%1(exp.f64 a)
98.8%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes92.0ms (1.3%)

Memory
-15.2MiB live, 63.6MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))) (*.f64 a #s(literal 1/4 binary64)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 (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:

36.0ms
b
33.0ms
(exp.f64 b)
8.0ms
a
7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.9%2a
99.4%3b
81.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.9%2(exp.f64 a)
99.4%3(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes35.0ms (0.5%)

Memory
-15.2MiB live, 63.9MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))) (*.f64 a #s(literal 1/4 binary64)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
Outputs
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

5 calls:

9.0ms
a
7.0ms
b
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(exp.f64 a)
6.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
69.5%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
80.4%2(exp.f64 b)
84.3%3b
80.9%2a
80.9%2(exp.f64 a)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes26.0ms (0.4%)

Memory
15.0MiB live, 53.7MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))) (*.f64 a #s(literal 1/4 binary64)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

4 calls:

8.0ms
a
6.0ms
b
5.0ms
(exp.f64 a)
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
74.1%2(exp.f64 b)
73.3%2a
70.2%2(exp.f64 a)
77.7%3b
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes7.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))) (*.f64 a #s(literal 1/4 binary64)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
77.4%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.2%)

Memory
-13.9MiB live, 24.8MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))) (*.f64 a #s(literal 1/4 binary64)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

2 calls:

7.0ms
b
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
71.1%2(exp.f64 b)
75.4%3b
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.2%)

Memory
-14.3MiB live, 25.7MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))) (*.f64 a #s(literal 1/4 binary64)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

2 calls:

9.0ms
a
6.0ms
b
Results
AccuracySegmentsBranch
69.3%2a
73.4%3b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.3%)

Memory
3.5MiB live, 42.2MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

5 calls:

5.0ms
a
5.0ms
b
4.0ms
(exp.f64 b)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
49.1%2a
49.1%2(exp.f64 a)
61.0%2(exp.f64 b)
60.6%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
65.3%3b
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
Calls

3 calls:

4.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
54.5%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
55.1%2(exp.f64 b)
55.1%2b
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes29.0ms (0.4%)

Memory
-13.6MiB live, 25.7MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
Calls

5 calls:

17.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
a
3.0ms
b
2.0ms
(exp.f64 a)
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
43.9%1(exp.f64 a)
43.9%1a
43.9%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
43.9%1(exp.f64 b)
43.9%1b
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes13.0ms (0.2%)

Memory
24.2MiB live, 24.2MiB allocated
Accuracy

Total -26.4b remaining (-72.6%)

Threshold costs -26.4b (-72.6%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
Outputs
#s(literal 1/2 binary64)
Calls

5 calls:

3.0ms
a
3.0ms
b
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
43.2%1a
43.2%1(exp.f64 a)
43.2%1(exp.f64 b)
43.2%1b
43.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
3.156025388212511e-5
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch37.0ms (0.5%)

Memory
3.2MiB live, 41.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
5.303155063478415e+152
1.523402477913367e+157
25.0ms
8.178482536371125e+38
3.6853397225224993e+53
Samples
25.0ms288×0valid
Compiler

Compiled 507 to 353 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-exp: 16.0ms (82% of total)
ival-div: 2.0ms (10.3% of total)
ival-add: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.4%)

Memory
0.4MiB live, 40.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
5.303155063478415e+152
1.523402477913367e+157
16.0ms
8.178482536371125e+38
3.6853397225224993e+53
Samples
13.0ms288×0valid
Compiler

Compiled 587 to 413 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (54.3% of total)
ival-div: 2.0ms (27.1% of total)
ival-add: 1.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.4%)

Memory
-23.5MiB live, 52.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
1.984563488998077e+93
2.06172079186834e+99
15.0ms
8.644521266017026e-10
49432337.85371343
Samples
18.0ms304×0valid
Compiler

Compiled 488 to 363 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 5.0ms (59.3% of total)
ival-div: 2.0ms (23.7% of total)
ival-add: 1.0ms (11.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.4%)

Memory
18.4MiB live, 56.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
5.303155063478415e+152
1.523402477913367e+157
15.0ms
8.644521266017026e-10
49432337.85371343
Samples
16.0ms288×0valid
Compiler

Compiled 407 to 305 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 6.0ms (64.2% of total)
ival-div: 2.0ms (21.4% of total)
ival-add: 1.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.4%)

Memory
-2.0MiB live, 84.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
5.303155063478415e+152
1.523402477913367e+157
18.0ms
8.644521266017026e-10
49432337.85371343
Samples
19.0ms288×0valid
Compiler

Compiled 377 to 285 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-exp: 9.0ms (70.4% of total)
ival-div: 3.0ms (23.5% of total)
ival-add: 1.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.4%)

Memory
-19.3MiB live, 58.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
5.303155063478415e+152
1.523402477913367e+157
14.0ms
8.644521266017026e-10
49432337.85371343
Samples
16.0ms288×0valid
Compiler

Compiled 337 to 255 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 5.0ms (56.3% of total)
ival-div: 2.0ms (22.5% of total)
ival-add: 1.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
28.0MiB live, 28.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
8.644521266017026e-10
49432337.85371343
Samples
8.0ms160×0valid
Compiler

Compiled 193 to 151 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (65.2% of total)
ival-div: 1.0ms (21.7% of total)
ival-add: 1.0ms (21.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify12.0ms (0.2%)

Memory
-16.9MiB live, 22.9MiB allocated
Algorithm
1×egg-herbie
Rules
16×*-commutative_binary64
10×+-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078257
193257
296257
397257
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 b #s(literal 359999999999999997559541522770186071526215039099863040 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 17499999999999999246121533014958171910051987456 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 700 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 2049999999999999896614104319206797031651632277962459219936693415688540460668059435743461382736052224 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal 720 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 950 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 540 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 450 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 b #s(literal 359999999999999997559541522770186071526215039099863040 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 17499999999999999246121533014958171910051987456 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 700 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 2049999999999999896614104319206797031651632277962459219936693415688540460668059435743461382736052224 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal 720 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 950 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 540 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 450 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
#s(literal 1/2 binary64)

soundness1.4s (19%)

Memory
10.1MiB live, 1 068.0MiB allocated
Rules
18 438×accelerator-lowering-fma.f32
18 438×accelerator-lowering-fma.f64
14 836×accelerator-lowering-fma.f32
14 836×accelerator-lowering-fma.f64
12 648×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114888
1282885
2757885
32273880
45892880
08545811
02057
19957
258355
3546655
0803550
0147707
1418694
2937694
33129690
46847690
08244644
0617
12817
219917
3192817
0863117
02071535
15751361
215461317
351971234
081311159
0120740
1332725
2963708
33702677
08342640
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 892 to 553 computations (38% saved)

preprocess129.0ms (1.8%)

Memory
26.0MiB live, 188.0MiB allocated
Compiler

Compiled 558 to 182 computations (67.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...